Question: In the following alphabet second half is written first and then the first half is arranged in reverse order.\nThen which of the following will be the 5th letter to the left of 16th letter from the right?\nA B C D E F G H I J K L M N O P Q R S T U V W X Y Z\nOptions:\n(A) S\n(B) Y\n(C) U\n(D) H\n(E) K

Answer: (A)

N O P Q R S T U V W X Y Z M L K J I H G F E D C B A\n(16 + 5) = 21th letter from your right is S.


Question: If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ?\nOptions:\n(A) 27\n(B) 23\n(C) 24\n(D) 25\n(E) 26

Answer: (A)

1/x+1/2x = 1/18 = > 3/2x = 1/18 = > x = 27 days. Hence, A alone can finish the work in 27 days.


Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\nOptions:\n(A) 2888\n(B) 3000\n(C) 2887\n(D) 27781\n(E) 2788

Answer: (B)


Question: Find the product of the localvalue and absolutevalue of 7 in 20768?\nOptions:\n(A) 9200\n(B) 1100\n(C) 4900\n(D) 3200\n(E) 1600

Answer: (C)

Local value of 7 = 7 x 100 = 700\nPlace value of 7 = 7\nThere fore = 7 x 700 = 4900


Question: If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 4m\n(C) 6m\n(D) m/5\n(E) 8m

Answer: (E)

23m - n = p\nAdd n to both sides:\n23m = n + p\nAdd m to both sides:\n24m = n + p + m\nNow, divide both sides by 3\n8m = (n + p + m)/3 = the average of n, p, and m


Question: Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object.\nOptions:\n(A) 223\n(B) 776\n(C) 287\n(D) 196\n(E) 211

Answer: (D)


Question: A corporation triples its annual bonus to 50 of its employees. What percent R of the employees’ new bonus is the increase?\nOptions:\n(A) 50%\n(B) 662⁄3%\n(C) 100%\n(D) 200%\n(E) 300%

Answer: (B)

R of the employees’ new bonus is the increase Hence


Question: There are 5person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\nOptions:\n(A) 4!*2!\n(B) 2!*2!\n(C) 6!*1!\n(D) 2!*1!\n(E) 5!*1!

Answer: (B)


Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\nOptions:\n(A) 8112\n(B) 8000\n(C) 8500\n(D) 7500\n(E) 6500

Answer: (A)


Question: If man pays 20 for each km which he travels by taxi\nand 10 for each km which he travels by bus. If in one\nweek he payed 800 for traveling 60 km. How many kilometers did he travel by taxi ?\nOptions:\n(A) 23\n(B) 78\n(C) 27\n(D) 29\n(E) 20

Answer: (E)

Let the distance covered by the taxi be 'x' km. Then, distance covered by bus = (60 – x) km. 20x + 10 (60 – x)⇒20x + 600 – 10x = 800 10x = 200 ⇒ x = 20 km. He traveled 20 km by taxi.


Question: What should come in the place of the question mark(?) in the following equation?\n69012 – 20167 + (51246 ÷ 6) = ?\nOptions:\n(A) 57385\n(B) 57286\n(C) 57476\n(D) 57368\n(E) None of these

Answer: (E)


Question: Solve below question 2x - 1 = 17\nOptions:\n(A) -8\n(B) -9\n(C) -5\n(D) -4\n(E) 9

Answer: (E)

1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9


Question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?\nOptions:\n(A) 25%\n(B) 50%\n(C) 75%\n(D) 100%\n(E) 150%

Answer: (E)

Dolphin once in 3 min;\nBeluga once in 6 min;\nSo, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100.


Question: In how many different ways can the letters of the word â€˜EXTENTâ€™ be arranged?\nOptions:\n(A) 250\n(B) 180\n(C) 300\n(D) 310\n(E) 360

Answer: (B)


Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder S when N is divided by 30?\nOptions:\n(A) (a)  4\n(B) (b)  7\n(C) (c)  11\n(D) (d)  13\n(E) (e)  17

Answer: (C)

N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder S when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.


Question: For integers U and V, when U is divided by V, the remainder is odd. Which of the following must be true?\nOptions:\n(A) At least one of U and V is odd\n(B) The sum U + V is odd\n(C) U and V share no common factors other than 1\n(D) UV is odd.\n(E) U is odd

Answer: (A)


Question: What should come in place of the question mark (?) in the following equation?\n12400 + 6899 = 610+ ?\nOptions:\n(A) 12345\n(B) 56894\n(C) 18689\n(D) 23478\n(E) 94561

Answer: (C)


Question: Find the odd man out\n253, 136, 352, 327, 631, 244\nOptions:\n(A) 327\n(B) 136\n(C) 352\n(D) 631\n(E) 531

Answer: (A)

The sum all three digits comes to 10 except 327


Question: In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?\nOptions:\n(A) 13440\n(B) 1440\n(C) 360\n(D) 120\n(E) None of these

Answer: (E)

When the vowels are always together, then treat all the vowels as a single letter and then all the letters can be arranged in 6! ways and also all three vowels can be arranged in 3! ways. Hence, required no. of arrangements = 6! × 3! = 4320.


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 32 sec\n(C) 12 sec\n(D) 85 sec\n(E) 56 sec

Answer: (A)

Answer: Option A\nSpeed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25 = 40 sec


Question: The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?\nOptions:\n(A) 27\n(B) 16\n(C) 12\n(D) 18\n(E) 11

Answer: (C)


Question: A no.when divided by 221 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 11\n(E) 14

Answer: (C)


Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?\nOptions:\n(A) 2 1/2\n(B) 2 1/6\n(C) 4 1/2\n(D) 2 1/1\n(E) 2 1/8

Answer: (A)


Question: At what rate percent on simple interest will a sum of money double itself in 60 years?\nOptions:\n(A) 3 1/3%\n(B) 3 1/9%\n(C) 1 2/3%\n(D) 3 2/3%\n(E) 3 6/3%

Answer: (C)


Question: Two trains are moving at 45kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 40/6 sec\n(B) 43/6 sec\n(C) 47/6 sec\n(D) 40/3 sec\n(E) 40/7 sec

Answer: (C)


Question: 252 can be expressed as a product of primes as :\nOptions:\n(A) 2 x 2 x 3 x 3 x 7\n(B) 2 x 2 x 2 x 3 x 7\n(C) 3 x 3 x 3 x 3 x 7\n(D) 2 x 3 x 3 x 3 x 7\n(E) 2 x 3 x 7 x 3 x 2

Answer: (A)


Question: Find the third proportional to 9 and 12?\nOptions:\n(A) 10\n(B) 12\n(C) 16\n(D) 19\n(E) 20

Answer: (C)

Formula = Third proportional = (b × b)/a\nA = 9 and B = 12\n(12 × 12)/ 9 = 144/9 = 16


Question: Solve:-\n444 x 444 x 444 + 555 x 555 x 555 = ?(444 x 444 - 444 x 555 + 555 x 555)\nOptions:\n(A) 888\n(B) 333\n(C) 999\n(D) 988\n(E) 889

Answer: (C)


Question: Look at this series: 53, 53, 41, 41, 29, 29, ... What number should come next?\nOptions:\n(A) A) 12\n(B) B) 14\n(C) C) 27\n(D) D) 53\n(E) E) 17

Answer: (E)

In this series, each number is repeated, then 12 is subtracted to arrive at the next number.


Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\nOptions:\n(A) 21\n(B) 45\n(C) 50\n(D) 55\n(E) 60

Answer: (A)

8C3 [Select any four] - 7C3 [Select all hard backs] = 21


Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) Rs.345\n(B) Rs.270\n(C) Rs.275\n(D) Rs.324\n(E) Rs.325

Answer: (B)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 3446\n(B) 2345\n(C) 5467\n(D) 4767\n(E) 5184

Answer: (E)


Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 545\n(C) 88\n(D) 66\n(E) 09

Answer: (A)


Question: Two workers can type two pages in two minuets then how many persons can type 18 pages in 6 minuets\nOptions:\n(A) 2Workers\n(B) 3Workers\n(C) 6Workers\n(D) 7Workers\n(E) 8Workers

Answer: (C)

2Worker 2pages 2minutes\n1Worker 1page 2minutes\n1worker 18pages 36minutes\nTherefore to reduce the time by 6 times, workers should be increased by 6 times


Question: Ten telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?\nOptions:\n(A) 120\n(B) 126\n(C) 252\n(D) 1200\n(E) 1260

Answer: (A)


Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 5 min\n(C) 6 min\n(D) 8 min\n(E) 10 min

Answer: (A)


Question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 3/5\n(C) 3/10\n(D) 1/20\n(E) 1/40

Answer: (D)


Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 108\n(C) 1266\n(D) 188\n(E) 211

Answer: (B)


Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\nOptions:\n(A) xy2 – x2y + 2x2y2\n(B) xy2(1 – 2x)  + x2y(2y – 1) \n(C) xy2(1 + x)  – x2y(1 – y) \n(D) xy[y(1 + x)  – x(1 – y) ]\n(E) xy(y – x + 2xy)

Answer: (B)

The other parts are equal to xy2 – x2y + 2x2y2.


Question: Two persons A and B can complete a piece of work in 15 days and 30 days respectively. If they work together, what part of the work will be completed in 5 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 5/3

Answer: (D)

A's one day's work = 1/15\nB's one day's work = 1/30\n(A + B)'s one day's work = 1/15 + 1/30 = 1/10\nThe part of the work completed in 5 days = 5 (1/10) = 1/2.


Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?\nOptions:\n(A) 3887\n(B) 2768\n(C) 15000\n(D) 76887\n(E) 16711

Answer: (C)


Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?\nOptions:\n(A) (a)  4\n(B) (b)  7\n(C) (c)  11\n(D) (d)  13\n(E) (e)  17

Answer: (C)

N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder K when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.


Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature required to boil liquid A and liquid B differed by 35 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?\nOptions:\n(A) a)  17\n(B) b)  13\n(C) c)  25\n(D) d)  45\n(E) e)  81

Answer: (A)

The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick A which is the only number near half of 35. The other answer choices are too far apart so no need to calculate.


Question: Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?\nOptions:\n(A) 3 hours\n(B) 6 hours\n(C) 4 hours\n(D) 8 hours\n(E) 10 hours

Answer: (D)

Number of pages typed by Ronald in one hour = 32/6 = 16/3\nNumber of pages typed by Elan in one hour = 40/5 = 8\nNumber of pages typed by both in one hour = ((16/3) + 8) = 40/3\nTherefore, time taken by both to type 110 pages = 110 x 3/40 = 8 hours.


Question: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 99\n(C) 66\n(D) 55\n(E) 71

Answer: (A)


Question: Twelve coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^9\n(B) 2^11\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10

Answer: (B)

Fix the third coin as H. The remaining 11 coins have 2^11 outcomes.


Question: A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 25 payments is to be $500; each of the remaining payments is to be $100 more than each of the first 25 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?\nOptions:\n(A) 500\n(B) 450\n(C) 552\n(D) 600\n(E) 400

Answer: (C)

Total = 500(25) + 600(27)\nNumber of installments = 52\nAverage = Total/Number of installments = 552 approximately


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2134\n(B) 2234\n(C) 2540\n(D) 2560\n(E) 5184

Answer: (E)


Question: 5,9,18,30,50,__\nOptions:\n(A) 79\n(B) 80\n(C) 81\n(D) 82\n(E) 83

Answer: (E)


Question: Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?\nOptions:\n(A) AC/B\n(B) (A+C) /B\n(C) (A+B) /C\n(D) AB/C\n(E) (A-C) /B

Answer: (C)

Since today's is Daniel's birthday, his age must be an integer. As per the question, let A = 12, B = 2, and C = 6. Plugging these into the answer choices, only C does not yield an integer.


Question: The purchase price of an article is $48. In order to include 10% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 15%\n(B) 25%\n(C) 35%\n(D) 40%\n(E) 45%

Answer: (C)

Cost price of article = 48$\n% of overhead cost = 10\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 10 = 35%


Question: Find 96 ×× 97\nOptions:\n(A) 91/198\n(B) 91/12\n(C) 91/13\n(D) 91/10\n(E) 91/11

Answer: (B)

Here both numbers are less than 100. So they are deficient of - 4 and - 3 compared with 100. So


Question: A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?\nOptions:\n(A) 400\n(B) 600\n(C) 750\n(D) 2400\n(E) 3200

Answer: (A)

Answer A) 10800 yards need 1200 lbs\n1 Yard will need 1200/10800 = 1/9 lbs\n3600 Yards will need 1/9* 3600 Yards = 400lbs


Question: From the set of numbers x, y, t, z, s and w, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x,s), etc and (x,y)=(y,x)\nOptions:\n(A) 10\n(B) 14\n(C) 15\n(D) 16\n(E) 31

Answer: (E)

Another way: Any letter (x, y, z, w, s) can be included or not. So, we have 2^5 combinations - 1 empty combination = 31 combinations


Question: During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\nOptions:\n(A) 9%\n(B) 10%\n(C) 11%\n(D) 15%\n(E) 90%

Answer: (C)

Assume the price = 100\nPrice during sale = 90\nPrice after sale = 100\nPercent increase = 10/90*100 = 11% approx.


Question: The average age of a class of 42 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 30 Years\n(B) 31 Years\n(C) 32 Years\n(D) 34 Years\n(E) 59 Years

Answer: (E)

Total age of students is 42X16 = 672 Years\nTotal age inclusive of teacher = 43X (16+1) = 731\nSo, Teacher's age is 731-672 = 59 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 16+(43X1) = 59 Years


Question: A no.when divided by 281 gives a remainder 160, what remainder will be obtainedby dividingthe same no.21?\nOptions:\n(A) 21\n(B) 22\n(C) 23\n(D) 24\n(E) 25

Answer: (A)


Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?\nOptions:\n(A) 280\n(B) 290\n(C) 300\n(D) 340\n(E) 360

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


Question: Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics. How many different arrangements are possible?\nOptions:\n(A) 30\n(B) 60\n(C) 90\n(D) 180\n(E) 540

Answer: (C)

Ways of selecting group = 6C2 * 4C2 * 2C2 / 3! = 15\nThree groups can select three subjects in 6 ways\nTherefore total combinations = 15*6 = 90


Question: Rs. 1400 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/3:1/3:1/6?\nOptions:\n(A) 300\n(B) 992\n(C) 772\n(D) 552\n(E) 280

Answer: (E)


Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?\nOptions:\n(A) 90% increase\n(B) 45% increase\n(C) 9% decrease\n(D) Same as before\n(E) NONE

Answer: (D)


Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 338\n(B) 277\n(C) 342\n(D) 882\n(E) 212

Answer: (C)


Question: Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?\nOptions:\n(A) 5 7/9 days\n(B) 6 7/9 days\n(C) 5 1/9 days\n(D) 5 7/2 days\n(E) 4 2/7 days

Answer: (E)


Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 30\n(B) 35\n(C) 32\n(D) 40\n(E) 46

Answer: (A)


Question: A man rows his boat 90 km downstream and 72 km upstream, taking 3 hours each time. Find the speed of the stream?\nOptions:\n(A) 6\n(B) 5\n(C) 7\n(D) 3\n(E) 2

Answer: (D)

Speed downstream = d/t = 90/3 = 30 kmph\nSpeed upstream = d/t = 72/(3) = 24 kmph\nThe speed of the stream = (30 - 24)/2 = 3 kmph


Question: How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?\nOptions:\n(A) 20\n(B) 40\n(C) 120\n(D) 60\n(E) 10

Answer: (B)

Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)\nFifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter\nSecond letter can be filled in 5 Ways\nThird letter can be filled in 4 Ways\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 1 ways = 40


Question: The price of a T.V. set worth Rs. 60000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 22678\n(B) 59000\n(C) 26788\n(D) 19000\n(E) 26711

Answer: (B)

Money paid in cash = Rs. 1000\nBalance payment = (60000 - 1000) = Rs. 59000


Question: How much time will it take for an amount of 1000 to yield 100 as interest at 5% per annum of simple interest?\nOptions:\n(A) 3 years\n(B) 4 years\n(C) 2 years\n(D) 5 years\n(E) 7 years

Answer: (C)


Question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 255 miles.\n(D) 265 miles.\n(E) 275 miles.

Answer: (C)

The total distance D traveled by John is given by\nD = 45 * 2 + 3 * 55 = 255 miles.


Question: Which value of x does statisfy the inequality 2x2 + x – 3 < 0?\nOptions:\n(A) -3⁄2 < x < 1\n(B) -1 < x < 3⁄2\n(C) x > 1\n(D) x < -2⁄5\n(E) None of these

Answer: (A)


Question: A single discount equivalent to the discount series of 20%, 10% and 25% is?\nOptions:\n(A) 31.9\n(B) 31.7\n(C) 31.6\n(D) 31.5\n(E) 46

Answer: (E)


Question: If 8m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 3m\n(C) 6m\n(D) m/5\n(E) 6m/5

Answer: (B)

8m - n = p\nAdd n to both sides:\n8m = n + p\nAdd m to both sides:\n9m = n + p + m\nNow, divide both sides by 3\n3m = (n + p + m)/3 = the average of n, p, and m


Question: The no. of girls in a class are 7times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 20\n(B) 35\n(C) 30\n(D) 40\n(E) 42

Answer: (C)

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.


Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 10 km/hr downstream and 4 km/hr upstream.\nOptions:\n(A) 7 kmph\n(B) 8 kmph\n(C) 9 kmph\n(D) 7 kmph\n(E) 6 kmph

Answer: (A)

Speed in still water = (10 + 4)1/2 kmph = 7 kmph.


Question: If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in\nOptions:\n(A) 2 days\n(B) 1 day\n(C) 4 days\n(D) 3 days\n(E) 2 1/5 days

Answer: (B)

The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m\nNo. of days required to paint 36 m cloth by 6 women = 36/ 6 × 6 = 1 day.


Question: A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.\nOptions:\n(A) 25 km/h\n(B) 40 km/h\n(C) 45 km/h\n(D) 36.5 km/h\n(E) None of these

Answer: (A)

Let original speed = S km/h\nHere, distance to be covered is constant\n∴ S × 8 = (S + 5)(20⁄3)\n⇒ 8S - 20⁄3S = 100⁄3 ⇒ S = 100⁄4 = 25 km/h


Question: Find a a prime number from the options below.\nOptions:\n(A) 69\n(B) 70\n(C) 71\n(D) 72\n(E) 74

Answer: (C)


Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.\nOptions:\n(A) 225 cm2\n(B) 275 cm2\n(C) 285 cm2\n(D) 315 cm2\n(E) None of these

Answer: (C)

Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2


Question: The number N is 5,H64, where H represents the hundred's digit. If N is divisible by 4, what is the value of H?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 5\n(E) All the above value

Answer: (E)

If the number is divisible by 4, the last two digits must be divisible by 4. All the values yields such a number.


Question: The average of first four prime numbers greater than 10 is?\nOptions:\n(A) 10\n(B) 20\n(C) 15\n(D) 40\n(E) 50

Answer: (C)


Question: At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/3%\n(B) 3 1/8%\n(C) 3 6/3%\n(D) 9 1/3%\n(E) 3 3/3%

Answer: (A)


Question: In what time a sum of money double itself at 8% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 33 7/3%\n(D) 32 1/3%\n(E) 12 1/2%

Answer: (E)


Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?\nOptions:\n(A) 76\n(B) 100\n(C) 162\n(D) 198\n(E) 202

Answer: (B)

We have 3 scenarios here:\n1) 1 tech2 businessmen: 4C1 x 6C2 = 60\n2) 2 tech1 businessman: 4C2 x 6C1 = 36\n3) 3 tech0 businessmen: 4C3 = 4\nTotal: 60+36+4 = 100


Question: what is the next no. 4 12 84\nOptions:\n(A) 632\n(B) 732\n(C) 832\n(D) 850\n(E) 902

Answer: (B)


Question: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?\nOptions:\n(A) 15%\n(B) 116%\n(C) 136%\n(D) 155%\n(E) 160%

Answer: (B)

Female students in 2005 = 30% of 40 = 12\nFemale students in 2007 = 40% of 65 = 26\nPercentage increase = [(26 - 12)/12] *100 % = 116%


Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\nOptions:\n(A) 2277\n(B) 3000\n(C) 2682\n(D) 7222\n(E) 2682

Answer: (B)


Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?\nOptions:\n(A) 338\n(B) 277\n(C) 350\n(D) 881\n(E) 271

Answer: (C)


Question: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?\nOptions:\n(A) 14\n(B) 16\n(C) 17\n(D) 19\n(E) 20

Answer: (B)

Any combination of ten-dollar and five-dollar bills cannot add up to amount ending with 8. John has to use at least 3 one-dollar bills. To gather the rest, $125, John needs to use a minimum of 13 bills: 12 ten-dollar bills and 1 five-dollar bill.


Question: One red flower, three white flowers and two blue flowers are arranged in a line such that\nI. No two adjacent flowers are of the same colour.\nII. The flowers at the two ends of the line are of different colours.\nIn how many different ways can the flowers be arranged?\nOptions:\n(A) 6\n(B) 4\n(C) 10\n(D) 12\n(E) 14

Answer: (A)

The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.


Question: If n is an integer, then the least possible value of |15 - 8n| is?\nOptions:\n(A) 0\n(B) 2\n(C) 1\n(D) 3\n(E) 5

Answer: (C)

|15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1.


Question: Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.\nIf she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?\nOptions:\n(A) 1\n(B) 2\n(C) 3 min\n(D) 4\n(E) 5

Answer: (C)

3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done.


Question: How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 22\n(B) 67\n(C) 88\n(D) 12\n(E) 66

Answer: (D)


Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 4 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2/3 days\n(C) 8 days\n(D) 3 days\n(E) 9 days

Answer: (B)

Work done by A in 4 days = 4/5\nRemaining work = 1/5\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\nRemaining work = 1/5 * 10/3 = 2/3 days.


Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\nOptions:\n(A) 2287\n(B) 2689\n(C) 1667\n(D) 8112\n(E) 1691

Answer: (D)


Question: Look at this series: 1.25, 7.5, ____, 270, 1620, ... What number should fill the blank?\nOptions:\n(A) 50\n(B) 65\n(C) 45\n(D) 55\n(E) 40

Answer: (C)

This is a simple multiplication series. Each number is 6 times greater than the previous number.


Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 65 sec\n(B) 88 sec\n(C) 25 sec\n(D) 88 sec\n(E) 55 sec

Answer: (C)


Question: The average of nine numbers is 17. The average of first four numbers is 20 and the average of last four numbers is 16. What is the middle number?\nOptions:\n(A) A) 7\n(B) B) 8\n(C) C) 9\n(D) D) 10\n(E) E) 11

Answer: (C)

The total of nine numbers = 9X17 = 153\nThe total of first 4 and last 4 numbers is = 4 X 20+4 X 16 = 144\nSo, the middle number is (153 - 144 ) = 9


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 3456\n(B) 4567\n(C) 4789\n(D) 5678\n(E) y=5184

Answer: (E)


Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?\nOptions:\n(A) 2205\n(B) 8786\n(C) 8275\n(D) 2872\n(E) 2282

Answer: (A)


Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 180/18\n(B) 180/15\n(C) 180/13\n(D) 180/12\n(E) 180/11

Answer: (C)

One day work of A and B = 1/12\nOne day work of B and C = 1/30\nOne day work of C and A = 1/36\n2(A + B + C) = 1/12 + 1/30 + 1/36\n2(A + B + C) = 13/90\n(A + B + C) = 13/180\nNumber of days required = 180/13 days.


Question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?\nOptions:\n(A) 15%\n(B) 50%\n(C) 62.5%\n(D) 115%\n(E) 240%

Answer: (E)

Female students in 2005 = 25% of 40 = 10\nFemale students in 2007 = 40% of 85 = 34\nPercentage increase = [(34- 10)/10] *100 % = 240%


Question: A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 71 kmph\n(E) 88 kmph

Answer: (C)


Question: The price of a T.V. set worth Rs. 30000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 22678\n(B) 26699\n(C) 29000\n(D) 19000\n(E) 26711

Answer: (C)

Money paid in cash = Rs. 1000\nBalance payment = (30000 - 1000) = Rs. 29000


Question: A class consists of 100 students, 20 of them are girls and 80 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\nOptions:\n(A) 2/125\n(B) 1/59\n(C) 1/56\n(D) 1/54\n(E) 1/53

Answer: (A)

The probability of selecting girl is: 20/100 = 1/5\nThe probability of selecting rich is: 20/100 = 1/5\nThe probability of selecting fair complexioned is: 40/100 = 2/5\nThree are independent;probability of rich and fair complexioned girl is:\n(1/5) Ã—(1/5) Ã— (2/5) = 2/125


Question: 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?\nOptions:\n(A) 66\n(B) 291\n(C) 26\n(D) 29\n(E) 11

Answer: (A)

If only 12 people shaked their hands, then total hand shakes are 12C212C2 = 66


Question: The pilot of a small aircraft uses 60 gallons of fuel to fly 300 miles. At this rate, how many gallons of fuel are needed for a 700 mile flight?\nOptions:\n(A) 140\n(B) 155\n(C) 160\n(D) 170\n(E) 175

Answer: (A)

Number of gallons of fuel per mile = 300 /60 = 5 gallons per mile\nNumber of gallons of fuel for a 700 mile flight = 700/5 = 140


Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 96, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  22\n(D)  35\n(E)  25 3/10

Answer: (D)


Question: 189. The inside dimensions of a rectangular wooden box\nare 10 inches by 12 inches by 14 inches. A cylindrical\ncanister is to be placed inside the box so that it stands\nupright when the closed box rests on one of its six\nfaces. Of all such canisters that could be used, what is\nthe radius, in inches, of the one that has maximum\nvolume?\nOptions:\n(A)  3\n(B)  4\n(C)  5\n(D)  6\n(E)  8

Answer: (D)

Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 14x12 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 12, so the radius will be 6.


Question: A family pays $800 per year for an insurance plan that pays 85 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.\nOptions:\n(A) $1,100\n(B) $1,200\n(C) $1,400\n(D) $1,800\n(E) $2,200

Answer: (A)

Upfront payment for insurance plan = 800$\nFamily needs to pay 15 % of first 1000 $ in expense = 150$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 150 = 950 $\nTotal amount paid by insurance plan for first 1000 $ = 800 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1100 $\n(Since insurance plan will pay 100% of amount that exceeds 950$ )


Question: In how many different number of ways 6 men and 3 women can sit on a shopa which can accommodate persons?\nOptions:\n(A) 200\n(B) 230\n(C) 504\n(D) 250\n(E) 260

Answer: (C)


Question: A train 150 meters long completely crosses a 240 meters long bridge in 42 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 33\n(C) 88\n(D) 66\n(E) 09

Answer: (B)


Question: The area of a triangle is with base 12m and height 5m?\nOptions:\n(A) 88 m2\n(B) 30 m2\n(C) 66 m2\n(D) 77 m2\n(E) 31 m2

Answer: (B)


Question: The price of a T.V. set worth Rs. 8000 is to be paid in 20 installments of Rs. 750 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 7250\n(B) 7200\n(C) 7820\n(D) 6000\n(E) 2799

Answer: (A)

Money paid in cash = Rs. 750\nBalance payment = (8000- 1000) = Rs. 7250


Question: Which of the following numbers is divisible by 9?\nOptions:\n(A) 23274\n(B) 25181\n(C) 31001\n(D) 50123\n(E) 11251

Answer: (A)

23274. This is the only option with last two digits divisible by 9


Question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?\nOptions:\n(A) 55053\n(B) 50553\n(C) 5553\n(D) 40532\n(E) 44258

Answer: (A)


Question: You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?\nOptions:\n(A) helicopter man stop it\n(B) you stop it\n(C) man go to stop it.\n(D) no idea\n(E) data irrelevant

Answer: (C)

You ask the man of the merry-go-round to stop it.


Question: How much 90% of 40 is greater than 80% of 30?\nOptions:\n(A) 12\n(B) 14\n(C) 16\n(D) 17\n(E) 18

Answer: (A)


Question: A certain car uses 12 gallons of gasoline in traveling 360 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 6\n(D) 8\n(E) 10

Answer: (C)


Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?\nOptions:\n(A) 118\n(B) 150\n(C) 277\n(D) 250\n(E) 191

Answer: (D)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 15 = 250 m


Question: Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^19\n(B) 2^10\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10

Answer: (A)

Fix the third coin as H. The remaining 19 coins have 2^19 outcomes.


Question: Find a a prime number from below options?\nOptions:\n(A) 84\n(B) 97\n(C) 98\n(D) 100\n(E) 102

Answer: (B)


Question: If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?\nOptions:\n(A) 30 years\n(B) 35 years\n(C) 40 years\n(D) 25 years\n(E) 45 years

Answer: (C)

Sum of thier ages is 70 in ratio 4:3\nSo 40+30 gives us 70. Wich is 4:3 so, older guy is having 40.


Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?\nOptions:\n(A) 150\n(B) 781\n(C) 767\n(D) 277\n(E) 266

Answer: (A)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 9 = 150 meter


Question: The speed of a car is 90 km in the first hour and 42 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 89 kmph\n(B) 92 kmph\n(C) 75 kmph\n(D) 65 kmph\n(E) 66 kmph

Answer: (E)


Question: Of the families in City X in 1991, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 20 percent greater than it was in 1991, and the total number of families in City X was 9 percent greater in 1993 than it was in 1991. what percent of the families in City X owned a personal computer in 1993?\nOptions:\n(A) 59%\n(B) 55%\n(C) 63%\n(D) 66%\n(E) 68%

Answer: (D)

Say a 100 families existed in 1991 then the number of families owning a computer in 1991 - 60\nNumber of families owning computer in 1993 = 60 * 120/100 = 72\nNumber of families in 1993 = 109\nThe percentage = 72/109 * 100 = 66%.


Question: John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 60%

Answer: (E)


Question: 16,25,36,72,144,196,225\nOptions:\n(A) 36\n(B) 196\n(C) 225\n(D) 144\n(E) 72

Answer: (E)

Each of the numbers except 72 is a perfect squar


Question: Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\nOptions:\n(A) 2^9\n(B) 2^14\n(C) 3 * 2^8\n(D) 3 * 2^9\n(E) 3 * 2^10

Answer: (B)

Fix the third coin as H. The remaining 14 coins have 2^14 outcomes.


Question: An equity analyst needs to select 2 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 2 picks?\nOptions:\n(A) 20\n(B) 30\n(C) 10\n(D) 40\n(E) 80

Answer: (A)

Number of ways of choosing 2 stocks = 5C2\nNumber of ways of ranking the chosen stocks = 2!\nHence total ways of chosing and ranking = 5C2 * 2! = 20


Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 28\n(C) 299\n(D) 277\n(E) 21

Answer: (A)


Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 887\n(C) 299\n(D) 277\n(E) 200

Answer: (A)


Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 15% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:\nOptions:\n(A) 4000\n(B) 24000\n(C) 8000\n(D) 10000\n(E) None of these

Answer: (B)


Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 7 1/2 sec\n(B) 2 sec\n(C) 3 sec\n(D) 5 sec\n(E) 7 sec

Answer: (A)


Question: The average of first 13 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (E)

Sum of 13 even numbers = 13 * 14 = 110\nAverage = 182/13 = 14


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?\nOptions:\n(A) 145646\n(B) 236578\n(C) 645353\n(D) 456546\n(E) 220040

Answer: (E)


Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 8774\n(E) 1268

Answer: (D)


Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 510 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 3/8\n(C) 8/5\n(D) 5/8\n(E) 34/15

Answer: (E)

Distance traveled by Eddy = 510 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 510/3 = 170 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 170/75 = 34/15


Question: Before lunch, a painter can paint a wall at a rate of r square feet per minute. The same painter, after lunch and a cup of coffee, can paint the same wall at a rate r + 1 square feet per minute, and the same wall would be finished in 30 seconds less time. What is the value of r?\nOptions:\n(A) 1/3\n(B) 3\n(C) 1/2\n(D) 1\n(E) 2

Answer: (D)

Convert 30 seconds to 1/2 minute\nEquation: 1/r = 1/(r + 1) + 1/2\nPlug options into the equation:\nD fits: 1/1 = 1/(1 + 1) + 1/2


Question: Interest Rate: 4% monthly Starting Balance: 124 Time Passed: 4 months How much interest has accrued if calculated as compound interest? What is the new total balance?\nOptions:\n(A) 21 & 145\n(B) 22 & 146\n(C) 23 & 145\n(D) 20 & 140\n(E) None

Answer: (A)

Compound Interest: Total Balance = P(1 + R)T P = principle = starting balance = $124 R = interest rate = 4% T = time = 4 years Total balance = principle × (1 + interest rate)time = 124 × (1 + (4 / 100))4 = 145 Interest accrued = total balance - starting balance = 145 - 124 = 21


Question: The average of first 18 even numbers is?\nOptions:\n(A) 19\n(B) 18\n(C) 16\n(D) 11\n(E) 17

Answer: (A)

Sum of 18 even numbers = 18 * 19 = 342\nAverage = 342/18 = 19


Question: In the following equation what value would come in place of question mark (?)?\n5798 – ? = 7385 – 4632\nOptions:\n(A) 3225\n(B) 2595\n(C) 2775\n(D) 3045\n(E) None of these above

Answer: (D)


Question: A wheel rotates 15 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 6 metre\n(B) 12 metre\n(C) 120 metre\n(D) 315 metre\n(E) 130 metre

Answer: (D)

Number of times wheel moves in 1 hour = 15 * 60 = 900\n:. Distance moves = (900 *35) cms = 31500 cms\nIn metres = 315 metre


Question: What will come in place of the x in the following Number series? 68, 36, 20, 12, 8, x\nOptions:\n(A) 6\n(B) 4\n(C) 2\n(D) 1\n(E) 0

Answer: (A)


Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) Rs.482\n(B) Rs.424\n(C) Rs.842\n(D) Rs.512\n(E) Rs.524

Answer: (A)


Question: Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?\nOptions:\n(A) $150\n(B) $175\n(C) $200\n(D) $210\n(E) $220

Answer: (C)

Amount at end of 2 years = 240$\nAmount at end of 5 years = 300$\nDifference in amount for time period of 3 years = 60$\nAnnual Interest earned = 60/3 = 20$\nPrincipal amount invested at the beginning = 240 - 2*20 = 200$


Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?\nOptions:\n(A) Rs.1185\n(B) Rs.1285\n(C) Rs.1385\n(D) Rs.1485\n(E) Rs.1495

Answer: (D)


Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 180\n(E) 720

Answer: (D)


Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?\nOptions:\n(A) 7\n(B) 13\n(C) 19\n(D) 10\n(E) None

Answer: (D)

1/6 â€“ 1/15 = 1/10\nB can do the work in 10 days


Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 125\n(B) 627\n(C) 153\n(D) 721\n(E) 159

Answer: (C)


Question: A = 10% of x, B = 10% of y, C = 10% of x + 10% of y. On the basis of the above equalities, what is true in the following?\nOptions:\n(A) A is equal to B\n(B) A is greater than B\n(C) B is greater than A\n(D) Relation cannot be established between A and B\n(E) None of these

Answer: (D)

The given information gives no indication regarding the comparison of x and y.


Question: In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many metres will A beat C in a race of 400 metres?\nOptions:\n(A) 76 metres\n(B) 80 metres\n(C) 70 metres\n(D) 84 metres\n(E) None

Answer: (A)

A runs B runs C runs\n600 metres race 600m 540 m\n500 metres race 500 m 450m\nCombing ratio A runs B runs C runs\n300metres - 2700meters - 2430metres\nUnitary A runs B runs C runs\nMethod 400mtres - 360 metres - 324 metres\n? A beats C by 400-324 = 76 metres.


Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?\nOptions:\n(A) 5/18\n(B) 1/6\n(C) 1/4\n(D) 1/9\n(E) 2/6

Answer: (A)

A's one day's work = 1/30\nB's one day's work = 1/45\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\nThe part of the work completed in 5 days = 5 (1/18) = 5/18.


Question: Which is greater than 99?\nOptions:\n(A) 9\n(B) 99\n(C) 9.9\n(D) 999\n(E) 909

Answer: (D)


Question: If 21 WOMen and 12 men can finish the work in 42 days.How many men should accompany 42 women to that the work will be completed in ten and half days???\nOptions:\n(A) 40\n(B) 45\n(C) 50\n(D) 60\n(E) 15

Answer: (E)


Question: A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\nOptions:\n(A) 24.\n(B) 32.\n(C) 36\n(D) 42.\n(E) 44.

Answer: (B)

Let the time taken be = x\nOne way distance = 48x\nTotal distance traveled = 2 * 48x = 96x\nTotal time taken = x + 2x = 3x\nAverage speed = 96x/3x = 32


Question: The average of 11 results is 55, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 4\n(B) 5\n(C) 7\n(D) 8\n(E) 9

Answer: (A)


Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 360 m long?\nOptions:\n(A) 30 Seconds\n(B) 22 Seconds\n(C) 41 Seconds\n(D) 24 Seconds\n(E) 29 Seconds

Answer: (A)

30 Seconds\nDistance travelled = 140 + 360m = 500m\nSpeed = 60 * 5/8 = 50/3m\nTime = 500 * 3/50 = 30 Seconds


Question: An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 39/40\n(B) 49/50\n(C) 59/60\n(D) 9/10\n(E) 14/15

Answer: (C)

The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\nThe probability that she misses every shot = (prob that she misses from 40 yards)*(prob that she misses from 50 yards)*(prob that she misses from 60 yards)\nProb that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3\nThus the probability that she misses all shots = (1/5)*(1/4)*(1/3) = 1/60\nThus the probability that she makes at least one shot = 1 - (1/60) = 59/60


Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?\nOptions:\n(A) 150\n(B) 872\n(C) 287\n(D) 200\n(E) 212

Answer: (D)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 12 = 200 meter


Question: A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14?\nOptions:\n(A) 16\n(B) 17\n(C) 18\n(D) 19\n(E) 20

Answer: (C)


Question: A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?\nOptions:\n(A) 2 2/3\n(B) 2 2/8\n(C) 2 2/0\n(D) 2 2/2\n(E) 2 2/11

Answer: (E)

Work done by all three of them in one day = 1/4 + 1/8 + 1/12 = 11/24\nThe number of days required = 24/11 = 2 2/11 days.


Question: A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 5 kmph\n(B) 6 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (B)

Speed downstream = d/t = 75/(2 1/2) = 30 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (30 - 18)/2 = 6 kmph


Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?\nOptions:\n(A) 7\n(B) 14\n(C) 25\n(D) 27\n(E) 30

Answer: (C)

Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -\n8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)\n20 + 3*14 -8 * 4 = 25


Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?\nOptions:\n(A) 24\n(B) 120\n(C) 625\n(D) 720\n(E) 1024

Answer: (C)

5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways.


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 340 m long?\nOptions:\n(A) 56 sec\n(B) 42 sec\n(C) 45 sec\n(D) 48 sec\n(E) 50 sec

Answer: (A)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 340 = 700 m\nRequired time = 700 * 2/25 = 56 sec


Question: Find the product of the localvalue and absolutevalue of 1 in 20168?\nOptions:\n(A) 100\n(B) 110\n(C) 151\n(D) 120\n(E) 140

Answer: (A)

Local value of 1 = 1 x 100 = 100\nPlace value of 1 = 1\nThere fore = 1 x 100 = 100


Question: Find the value of y from (12)^3 x 6^ 4 ÷ 432 = y?\nOptions:\n(A) 3456\n(B) 4567\n(C) 4789\n(D) 5678\n(E) y=5184

Answer: (E)


Question: A car finishes a journey in nine hours at the speed of 80 km/hr. If the same distance is to be covered in six hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 40 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) None of these

Answer: (B)

Distance covered by the car = 80 × 9 = 720 km\n\ Speed = 720⁄6 = 120 km/hr\n\ Speed gain = 120 – 80 = 40 km/hr


Question: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 4 sec\n(B) 5 sec\n(C) 6 sec\n(D) 7 sec\n(E) 8 sec

Answer: (C)


Question: If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 192 km\n(B) 162 km\n(C) 172 km\n(D) 168 km\n(E) 112 km

Answer: (B)

12 m/s = 12 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 12 * 18/5 * 15/4 km = 162 km.


Question: If the personal income tax rate is lowered from 42% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $42400?\nOptions:\n(A) $3500\n(B) $5000\n(C) $4240\n(D) $7000\n(E) $10000

Answer: (C)


Question: Calculate the largest 6 digit number which is exactly divisible by 55?\nOptions:\n(A) 999955\n(B) 999900\n(C) 999845\n(D) 999790\n(E) 999735

Answer: (A)

Largest 4 digit number is 999999\nAfter doing 999999 ÷ 55 we get remainder 44\nHence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2456\n(B) 3456\n(C) 4578\n(D) 4290\n(E) 5184

Answer: (E)


Question: If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 1/4\n(C) 3/10\n(D) 1/5\n(E) 1/10

Answer: (B)


Question: If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an annual income before tax to the tune of $45000?\nOptions:\n(A) $3500\n(B) $5000\n(C) $3150\n(D) $7000\n(E) $10000

Answer: (C)


Question: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?\nOptions:\n(A) 52\n(B) 58\n(C) 84\n(D) 94\n(E) 168

Answer: (D)


Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\nOptions:\n(A) 1/19\n(B) 1/11\n(C) 1/12\n(D) 1/17\n(E) 1/14

Answer: (C)

A's 1 hour work = 1/4;\n(B + C)'s 1 hour work = 1/3;\n(A + C)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\nB's 1 hour work = (7/12 + 1/2) = 1/12\nB alone will take 12 hours to do the work.


Question: A train 560 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 126 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 71 kmph\n(E) 88 kmph

Answer: (A)


Question: A train 500 meters long is running with a speed of 44 kmph. The time taken by it to cross a tunnel 230 meters long is?\nOptions:\n(A) 287 sec\n(B) 288 sec\n(C) 48 sec\n(D) 61 sec\n(E) 17 sec

Answer: (D)


Question: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 50 sec\n(C) 44 sec\n(D) 36 sec\n(E) 60 sec

Answer: (D)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 310 + 140 = 450 m\nRequired time = 450 * 2/25 = 36 sec


Question: How much is 25% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 10\n(B) 776\n(C) 66\n(D) 12\n(E) 99

Answer: (A)


Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\nLook at this series: 88, 3, 80, 12, __, 21 ... What number is missing?\nOptions:\n(A) 72\n(B) 78\n(C) 68\n(D) 30\n(E) 70

Answer: (A)

A\n72\nThis is an alternating addition and subtraction series. In the first pattern, 8 is subtracted from each number to arrive at the next. In the second, 9 is added to each number to arrive at the next.


Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?\nOptions:\n(A) 100 m\n(B) 190 m\n(C) 115 m\n(D) 110 m\n(E) 150 m

Answer: (A)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 6 = 100 m


Question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?\nOptions:\n(A) They are both even numbers.\n(B) At least one of them is even\n(C) At least one of them is odd.\n(D) They are both odd.\n(E) Nothing can be said surly on A and B

Answer: (C)

Odd x Odd = Odd\nOdd x Even = Even\nEven x Even = Even\nTo fulfill condition Either (A+1) or (B+1) needs to be Even\nSo either A or B needs to be odd\nOr At Least one of them is odd.


Question: Find 95 ×× 97\nOptions:\n(A) 92/198\n(B) 92/12\n(C) 92/13\n(D) 92/10\n(E) 92/15

Answer: (E)

Here both numbers are less than 100. So they are deficient of - 5 and - 3 compared with 100. So


Question: The inverse ratio of 3: 2: 1 is?\nOptions:\n(A) 2:3:7\n(B) 2:3:9\n(C) 2:3:2\n(D) 2:3:6\n(E) 2:3:1

Answer: (D)


Question: A train 210 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\nOptions:\n(A) 29\n(B) 22\n(C) 48\n(D) 99\n(E) 11

Answer: (B)


Question: The average of first 16 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 17\n(D) 13\n(E) 14

Answer: (C)

Sum of 16 even numbers = 16 * 17 = 272\nAverage = 272/16 = 17


Question: Find the odd man out\n253, 136, 352, 326, 631, 244\nOptions:\n(A) 326\n(B) 136\n(C) 352\n(D) 631\n(E) 531

Answer: (A)

The sum all three digits comes to 10 except 326


Question: How much 45% of 60 is greater than 35% of 40?\nOptions:\n(A) 18\n(B) 13\n(C) 15\n(D) 17\n(E) 71

Answer: (B)


Question: John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 18%\n(D) 21%\n(E) 75%

Answer: (E)


Question: In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 4/5\n(D) 6/11\n(E) 4/5

Answer: (A)

Probability that trouser is not grey = 2/3\nProbability that shirt is not grey = 3/4\n∴ Required probability = 2/3 x 3/4 = 1/2


Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2.\n(C) 3.\n(D) 4.\n(E) 5.

Answer: (B)

Total boxes = 23\nFilled with toys = 18\nFilled with appliance = 5\nTotal boxes for sale = 8\nToy boxes for sale = 5\nAppliance boxes for sale = 3\nAppliance boxes not for sale = 5 - 3 = 2


Question: Rs.500 amounts to Rs.620 in 2 years at simple interest. If the interest is increased by 2%, it would amount to how much?\nOptions:\n(A) 120\n(B) 25\n(C) 614\n(D) 530\n(E) 210

Answer: (D)


Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 200. How much did he have with him in the beginning?\nOptions:\n(A) s 200\n(B) s 500\n(C) s 300\n(D) s 450\n(E) s 550

Answer: (B)

Suppose the amount in the beginning was Rs ’x’\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\nBalance = 2x/3 - 2x/15 = Rs 8x/15\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\nTherefore 2x/5 = 200 = 500


Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\nOptions:\n(A) 10\n(B) 26\n(C) 12\n(D) 24\n(E) 48

Answer: (C)


Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?\nOptions:\n(A) 2\n(B) 2.2\n(C) 3\n(D) 3.5\n(E) 4

Answer: (C)

Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3\nAll the three pipes together will fill the tank in 3 hours.


Question: A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 1 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph

Answer: (E)

Speed downstream = d/t = 80/(2 1/2) = 32 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (32 - 18)/2 = 7 kmph


Question: What is the are of an equilateral triangle of side 18 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 74âˆš3 cm2\n(C) 81âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 14âˆš3 cm2

Answer: (C)

Area of an equilateral triangle = âˆš3/4 S2\nIf S = 18, Area of triangle = âˆš3/4 * 18 * 18 = 81âˆš3 cm2;


Question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 4 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?\nOptions:\n(A) 7\n(B) 14\n(C) 25\n(D) 27\n(E) 30

Answer: (D)

Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -\n8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)\n20 + 3*14 -8 * 4 = 27


Question: A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?\nOptions:\n(A) 10Kmph\n(B) 11Kmph\n(C) 12Kmph\n(D) 13Kmph\n(E) 14Kmph

Answer: (C)


Question: What will be the remainder when 17^200 is divided by 18\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

Answer: (A)


Question: Find the number which when added to itself 13 times, gives 112.\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11

Answer: (B)

Let the number be x. Then, x + 13x = 112 14x = 112 x = 8.


Question: Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:\nOptions:\n(A) 50\n(B) 40\n(C) 25\n(D) 36\n(E) 45

Answer: (D)

Area of tile = 25*65 = 1625\nArea of floor = 150*390 = 58500\nNo of tiles = 58500/1625 = 36\nSo, the no of tile = 36


Question: John makes $50 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 20%

Answer: (E)


Question: List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 12

Answer: (D)

Answer = D = 8\nIf least = -4, then largest = 9\nRange = 9 - 1 = 8


Question: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?\nOptions:\n(A) $3500\n(B) $5000\n(C) $3150\n(D) $7200\n(E) $10000

Answer: (D)


Question: If n is an integer, then the least possible value of |33 - 5n| is?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 4

Answer: (C)

|33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2.


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?\nOptions:\n(A) 234354\n(B) 243435\n(C) 243445\n(D) 245667\n(E) 220030

Answer: (E)


Question: If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 118 km\n(B) 162 km\n(C) 324 km\n(D) 1887 km\n(E) 177 km

Answer: (C)

24 m/s = 24 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 24 * 18/5 * 15/4 km = 324 km.


Question: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :\nOptions:\n(A) 124 m2\n(B) 120 m2\n(C) 108 m2\n(D) 58 m2\n(E) None of these

Answer: (A)

Area of the outer rectangle = 19 × 16 = 304 m2\nArea of the inner rectangle = 15 × 12 = 180 m2\nRequired area = (304 – 180) = 124 m2


Question: At what rate percent on simple interest will a sum of money double itself in 30 years?\nOptions:\n(A) 3 1/3%\n(B) 8 1/3%\n(C) 3 5/3%\n(D) 5 1/3%\n(E) 3 1/7%

Answer: (A)


Question: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?\nOptions:\n(A)  1/14\n(B)  1/7\n(C)  2/7\n(D)  5/7\n(E)  1/2

Answer: (D)

Total ways to choose 4 employees from 8 employees = 8C3\nTwo women = 5C2\nTwo Men = 3C1\nP = (5C2 * 3C1)/8C2 = 5/7 hence


Question: How many terminating zeroes T does 200! have?\nOptions:\n(A)  40\n(B)  48\n(C)  49\n(D)  55\n(E)  64

Answer: (C)

You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.


Question: 10 men and 15 women together can complete a work in 5 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\nOptions:\n(A) 127 days\n(B) 150 days\n(C) 177 days\n(D) 187 days\n(E) 225 days

Answer: (B)

1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/5\n15 women's 1 day work = (1/5 - 10/100) = 1/10\n1 woman's 1 day work = 1/150\n1 woman alone can complete the work in 150 days.


Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 10\n(B) 25\n(C) 30\n(D) 45\n(E) 50

Answer: (C)

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.


Question: Find the simple interest on Rs.450 for 8 months at 5 paisa per month?\nOptions:\n(A) 277\n(B) 270\n(C) 180\n(D) 266\n(E) 121

Answer: (C)


Question: Find the value of m from (12)^3 x 6^4 ÷ 432 = m?\nOptions:\n(A) 2346\n(B) 3546\n(C) 4566\n(D) 3455\n(E) 5184

Answer: (E)


Question: In how many different ways can the letters of the word â€˜EVERâ€™ be arranged?\nOptions:\n(A) 12\n(B) 280\n(C) 300\n(D) 310\n(E) 360

Answer: (A)


Question: What is the probability of rolling a nine with two, fair, six-sided dice?\nOptions:\n(A) 1/6\n(B) 1/9\n(C) 2/13\n(D) 1/12\n(E) 5/36

Answer: (B)

There are 4 ways to roll a nine: 3 and 6, 6 and 3, 4 and 5, 5 and 4 with two six-sided dice. There are 6 times 6 = 36 ways to roll two dice. The probability of rolling a 9 is thus 4/36 = 1/9.


Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 118, what is the value of K?\nOptions:\n(A)  11\n(B)  15 3/4\n(C)  22\n(D)  118\n(E)  25 3/10

Answer: (D)


Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 25 kmph\n(B) 32 kmph\n(C) 40 kmph\n(D) 38 kmph\n(E) 92 kmph

Answer: (B)


Question: One copy machine can make 30 copies a minute, and a second copy machine makes 15 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?\nOptions:\n(A) 15 minutes\n(B) 20 minutes\n(C) 25 minutes\n(D) 30 minutes\n(E) 35 minutes

Answer: (B)

Total work done by both machines in a minute = 30 + 15 = 45 copies\nTotal number of copies required = 900\nTime = 900/45 = 20 mins


Question: A light has a rating of 80 watts, it is replaced with a new light that has 25% higher wattage. How many watts does the new light have?\nOptions:\n(A) 105\n(B) 95\n(C) 80\n(D) 60\n(E) 100

Answer: (E)

Final number = Initial number + 25%(original number) = 80 + 25%(80) = 80 + 20 = 100.


Question: What is the are of an equilateral triangle of side 16 cm?\nOptions:\n(A) 64√5\n(B) 64√9\n(C) 64√4\n(D) 64√3\n(E) 64√2

Answer: (D)

Area of an equilateral triangle = √3/4 S2\nIf S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;


Question: 85% of the population of a city is 85000. The total population of the city is?\nOptions:\n(A) 95000\n(B) 97500\n(C) 100000\n(D) 105000\n(E) 102500

Answer: (C)


Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 18 sec\n(B) 16 sec\n(C) 76 sec\n(D) 12 sec\n(E) 17 sec

Answer: (D)


Question: Which one of the following is not a prime number?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 9\n(E) 7

Answer: (D)

9 is divisible by 3. So, it is not a prime number.


Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?\nOptions:\n(A) 250\n(B) 280\n(C) 300\n(D) 310\n(E) 360

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\nOptions:\n(A) 2267\n(B) 287\n(C) 268\n(D) 228\n(E) 225

Answer: (E)

1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/6\n15 women's 1 day work = (1/6 - 10/100) = 1/15\n1 woman's 1 day work = 1/225\n1 woman alone can complete the work in 225 days.


Question: Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?\nOptions:\n(A) 2079\n(B) 456\n(C) 974\n(D) 562\n(E) 300

Answer: (A)

639 is not divisible by 7\n2079 is divisible by each of 3, 7, 9, 11.


Question: Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?\nOptions:\n(A) 8\n(B) 13\n(C) 16\n(D) 24\n(E) 27

Answer: (B)

A intersect B intersect C = 4\nA intersect B but not C = 1\nB intersect C but not A = 1\nC intersec A but not B = 1\nA only is 2; B only is 2; C only is 2\nTherefore, total 13 members serve on one or more boards of directors.


Question: Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 5/3

Answer: (D)

A's one day's work = 1/30\nB's one day's work = 1/60\n(A + B)'s one day's work = 1/30 + 1/60 = 1/20\nThe part of the work completed in 10 days = 10 (1/20) = 1/2.


Question: The length of a rectangle is increased by 45% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 1288\n(B) 1299\n(C) 1000\n(D) 10000\n(E) 11600

Answer: (E)


Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (A)

(1056 / 26) gives remainder 16\n10 + 16 = 26, So we need to add 10


Question: The average of first 12 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (D)

Sum of 12 even numbers = 12 * 13 = 156\nAverage = 156/13 = 13


Question: A corporation triples its annual bonus to 50 of its employees. What T percent of the employees’ new bonus is the increase?\nOptions:\n(A) 50%\n(B) 662⁄3%\n(C) 100%\n(D) 200%\n(E) 300%

Answer: (B)

T of the employees’ new bonus is the increase Hence


Question: If 10 crates have 99 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 0

Answer: (B)

Each crate requires 1 apples and totally there are 10 crates so required apples = 10 * 1 = 10


Question: You have found a mutant algae that doubles in size every hour. It takes 18 hours for one algae plant to take up half of a certain lake.\nHow long would it take for two of these plants to take up half of the same lake?\nOptions:\n(A) 7\n(B) 17\n(C) 27\n(D) 37\n(E) 47

Answer: (B)

At 17 hours the one plant will take up 1/4 of the lake (1/2 of 1/2). At 17 hours the two plants would be double the size of the one plant and double 1/4 is one half.


Question: A man rows his boat 65 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 5 kmph\n(B) 4 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (B)

Speed downstream = d/t = 65/(2 1/2) = 26 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (26 - 18)/2 = 4 kmph


Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in\nOptions:\n(A) 1 day\n(B) 2 days\n(C) 3 days\n(D) 4 days\n(E) 5 days

Answer: (A)

The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m\nNo. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.


Question: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 208.\nOptions:\n(A) 15\n(B) 37\n(C) 55\n(D) 26\n(E) 73

Answer: (D)

Using the elimination method the option that fits this description is 26\n6-2 = 4 (unit's digit that exceeds its ten's digit by 3)\n26*8 = 208 (the product of the given number and the sum of its digits is equal to 175)


Question: If 10 crates have 95 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 50\n(E) 0

Answer: (D)

Each crate requires 5 apples and totally there are 10 crates so required apples = 10 * 5 = 50


Question: Find the least number must be subtracted from 568219 so that remaining no.is divisible by 5?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 4

Answer: (E)

On dividing 568219 by 5 we get the remainder 4, so 4 should be subtracted


Question: If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) -f(x) \n(B) 1/f(x) \n(C) 2/f(x) \n(D) 3/f(x) \n(E) f(x)

Answer: (A)

If x = 2 then f(x) = 8/31 and f(1/x) = -8/31 which is equal to -f(x)


Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?\nOptions:\n(A) 2178\n(B) 1087\n(C) 2800\n(D) 2689\n(E) 2081

Answer: (C)


Question: The average of 13 numbers is 60. Average of the first 7 of them is 54 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 25\n(B) 83\n(C) 45\n(D) 53\n(E) 64

Answer: (A)

Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 54 = 378\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 378 - 780 = 25.


Question: The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\nOptions:\n(A) 4\n(B) 3\n(C) 5\n(D) 8\n(E) 2

Answer: (B)

If the number is divisible by 9, it must also be divisible by 3. Only 3 yields such a number.


Question: The average age of a class of 22 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 30 Years\n(B) 31 Years\n(C) 33 Years\n(D) 34 Years\n(E) 49 Years

Answer: (C)

Total age of students is 22X10 = 220 Years\nTotal age inclusive of teacher = 23X (10+1) = 253\nSo, Teacher's age is 253-220 = 33 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 10+(23X1) = 33 Years


Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In a weekly range of temperature recorded at a certain weather station differed by 25 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?\nOptions:\n(A) a)  65/9\n(B) b)  13\n(C) c)  25\n(D) d)  45\n(E) e)  81

Answer: (B)

The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 25. The other answer choices are too far apart so no need to calculate.


Question: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?\nOptions:\n(A) 5 mins\n(B) 3 mins\n(C) 7 mins\n(D) 9 mins\n(E) 2 mins

Answer: (B)


Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 1/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/280\n(C) 27/280\n(D) 3/35\n(E) 7/56

Answer: (C)


Question: In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 41\n(B) 63\n(C) 72\n(D) 63\n(E) 50

Answer: (C)


Question: In a certain lottery drawing, two balls are selected at random from a container with 10 balls, numbered from 1 to 10, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?\nOptions:\n(A) $9 x 10^4\n(B) $9.90 x 10^6\n(C) $1.00 x 10^7\n(D) $1.05 x 10^7\n(E) $9.90 x 10^7

Answer: (A)

The max product of any two balls can be 9 * 10 = 9900 = 9 * 10\nIf we multiply it by $1000 the max amount will be 9 * 10^4.


Question: From the set of numbers x, y, t, z, p, q and w, how many different combinations can we have without the t and w in them? Ex:. (x,y), (x), (p,q,z,y,x), etc and (x,y)=(y,x)\nOptions:\n(A) 10\n(B) 14\n(C) 15\n(D) 16\n(E) 30

Answer: (E)

Another way: Any letter (x, y, z, p, q) can be included or not. So, we have 2^5 combinations - 2 empty combinations = 30 combinations


Question: Of the 50 electronics components that a factory must\nmanufacture, 70 percent would be most e¢ ciently manufactured\nby Machine A and the remaining 30 percent would be most\ne¢ ciently manufactured by Machine B, though either machine\ncould manufacture any of the 50 components. If 36 percent of\nthe components were manufactured by Machine A and the\nremainder were manufactured by Machine B, what is the\nhighest possible number of components that were\nmanufactured by the machine that would manufacture them\nthe most efficiently?\nOptions:\n(A) 30\n(B) 31\n(C) 32\n(D) 33\n(E) 34

Answer: (D)

# components A and B could manufacture efficiently:\nA: 50*70% = 35\nB: 50*30% = 15\n# components A and B effectively manufacture:\nA: 50*36% = 18\nB: 50*64% = 32\nMax. # components efficiently manufactured:\n18 (from A) and 15 (from B) = 33


Question: The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be\nOptions:\n(A) 50%\n(B) 25%\n(C) 35%\n(D) 40%\n(E) 45%

Answer: (A)

Cost price of article = 48$\n% of overhead cost = 25\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 25 = 50%


Question: The average of first 10 even numbers is?\nOptions:\n(A) 17\n(B) 199\n(C) 16\n(D) 11\n(E) 123

Answer: (D)

Sum of 10 even numbers = 10 * 11 = 110\nAverage = 110/10 = 11


Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?\nOptions:\n(A) 12hours\n(B) 10hours\n(C) 6hours\n(D) 8hours\n(E) 4hours

Answer: (A)

A's 1 hour work = 1/4;\n(B + C)'s 1 hour work = 1/3;\n(A + B)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\nC's 1 hour work = (7/12 - 1/2) = 1/12\nC alone will take 12 hours to do the work.


Question: Approximately what percent of the employees with 5 or more years of employment are NOT taking either workshop?\nOptions:\n(A) 86%\n(B) 64%\n(C) 50%\n(D) 14%\n(E) 7%

Answer: (B)

Total = n(A) + n(B) - Both + None\nNone = Total - n(A) - n(B) + Both\nCalculate "none" for each case\nNone(5+ yrs Line) = 200 - 50 - 40 + 30 = 140\nNone(5+ yrs Staff) = 160 - 40 - 50 + 20 = 90\nEmployees not taking either workshop/Total number of employees = (140 + 90)/(200 + 160) = 230/360 = About 64%


Question: How many positive integers less than 70 have a reminder 01 when divided by 3?\nOptions:\n(A) 13\n(B) 24\n(C) 35\n(D) 16\n(E) 17

Answer: (B)

1 also gives the remainder of 1 when divided by 3. So, there are total of 24 numbers.


Question: A 600 meter long train crosses a signal post in 30 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 2 min\n(C) 8 min\n(D) 3 min\n(E) 5 min

Answer: (D)


Question: In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\nOptions:\n(A) 720\n(B) 1720\n(C) 2880\n(D) 6\n(E) 10080

Answer: (D)

Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 1 chairs to sit. The remaining 3 people can sit in 3! ways. Thus the # of arrangements is 1*3! = 6.


Question: Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?\nOptions:\n(A) Rs. 220\n(B) Rs. 235\n(C) Rs. 240\n(D) Rs. 276\n(E) Rs. 286

Answer: (D)

The payment should be in ratio of 200:120:230 or 20:12:23\nFirst person should pay 20*660/55 = 240 Rs.


Question: How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 27 sec\n(B) 23 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec

Answer: (A)


Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder G when N is divided by 30?\nOptions:\n(A) (a)  4\n(B) (b)  7\n(C) (c)  11\n(D) (d)  13\n(E) (e)  17

Answer: (C)

N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder G when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.


Question: The number N is 7,6H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 7\n(E) 9

Answer: (A)

Integer is divisible by 9 - Sum of digits is divisible by 9


Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds. What is the length of the platform in meters?\nOptions:\n(A) 240 meters\n(B) 360 meters\n(C) 280 meters\n(D) 600 meters\n(E) Cannot be determined

Answer: (C)

Speed of the train in metres/sec = 72000/3600 = 20\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\nDistance travelled by train to cross the man = 16 * 20 = 320 = Length of train\nLength of platform = 600 - 320 = 280


Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 22\n(B) 28\n(C) 25\n(D) 77\n(E) 88

Answer: (C)


Question: One copy machine can make 25 copies a minute, and a second copy machine makes 35 copies a minute. If the two copiers work together, how long would it take them to make 4,800 copies?\nOptions:\n(A) 30 minutes\n(B) 40 minutes\n(C) 60 minutes\n(D) 70 minutes\n(E) 80 minutes

Answer: (E)

Total work done by both machines in a minute = 25 + 35 = 60 copies\nTotal number of copies required = 6000\nTime = 4800/60 = 80 mins


Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\nOptions:\n(A) 3 km/hr\n(B) 2 km/hr\n(C) 4 km/hr\n(D) 6 km/hr\n(E) 8 km/hr

Answer: (E)

Speed in still water = 1/2 (11 + 5) kmph = 8 kmph.


Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\nOptions:\n(A) 11\n(B) 77\n(C) 12\n(D) 99\n(E) 02

Answer: (C)

A's 1 hour work = 1/4;\n(B + C)'s 1 hour work = 1/3;\n(A + C)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\nB's 1 hour work = (7/12 + 1/2) = 1/12\nB alone will take 12 hours to do the work.


Question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?\nOptions:\n(A) 5 years\n(B) 6 years\n(C) 7 years\n(D) 9 years\n(E) 15 years

Answer: (A)


Question: The average of five numbers is 18. The average of first two numbers is 14 and the average of last two numbers is 19. What is the middle number?\nOptions:\n(A) 24\n(B) 27\n(C) 29\n(D) 32\n(E) 34

Answer: (A)

The total of seven numbers = 5X18 = 90\nThe total of first 2 and last 2 numbers is = 2 X 14+2 X 19 = 66\nSo, the middle number is (90 - 66 ) = 24


Question: The number N is 5,1H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\nOptions:\n(A) 1\n(B) 3\n(C) 8\n(D) 7\n(E) 9

Answer: (C)

Integer is divisible by 9 - Sum of digits is divisible by 9


Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 18\n(B) 22\n(C) 42\n(D) 41\n(E) 74

Answer: (D)

The correct answer should not take the form: 4x + 2. Hence, it is


Question: The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\nOptions:\n(A) 8\n(B) 16\n(C) 17\n(D) 18\n(E) 34

Answer: (C)

Minimum age = Average - 1 Standard deviation = 20 - 8 = 12\nMaximum age = average + 1 Standard deviation = 20+ 8 = 28\nMaximum number of different ages of the applicants = 28 - 12 + 1 = 17


Question: The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?\nOptions:\n(A) 228\n(B) 148\n(C) 992\n(D) 772\n(E) 222

Answer: (B)


Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?\nOptions:\n(A) 90 matches\n(B) 95 matches\n(C) 99 matches\n(D) 85 matches\n(E) 87 matches

Answer: (D)

D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were playe


Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 0

Answer: (D)

Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40\n(B) 28\n(C) 26\n(D) 27\n(E) 21

Answer: (A)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25 = 40 sec


Question: The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\nOptions:\n(A) 1288\n(B) 1299\n(C) 1000\n(D) 10000\n(E) 2887

Answer: (D)


Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 120\n(B) 125\n(C) 153\n(D) 200\n(E) 250

Answer: (A)


Question: In a race with 30 runners where 6 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 6^6 ways\n(B) 8^9 ways\n(C) 7^8 ways\n(D) 8^7 ways\n(E) 8^6 ways

Answer: (A)

6 people can be prized with distinct prizes in 6^6 ways


Question: In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\nOptions:\n(A) 720\n(B) 6\n(C) 2880\n(D) 5040\n(E) 10080

Answer: (B)

Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 1 chairs to sit. The remaining 3 people can sit in 3! ways. Thus the # of arrangements is 1*3! = 6.


Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\nOptions:\n(A) 60 %\n(B) 55 %\n(C) 70%\n(D) 75%\n(E) 80%

Answer: (B)

{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\n100 = 85 + 65 - {Both correctly} + 5\n{Both correctly} = 55.


Question: Calculate the largest 5 digit number which is exactly divisible by 77?\nOptions:\n(A) 99111\n(B) 99946\n(C) 99869\n(D) 99792\n(E) 99654

Answer: (B)

Largest 4 digit number is 99999\nAfter doing 99999 ÷ 77 we get remainder 53\nHence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946


Question: 80 370 860 ? 2440 3530\nOptions:\n(A) 900\n(B) 840\n(C) 750\n(D) 860\n(E) 1550

Answer: (E)


Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?\nOptions:\n(A) 750\n(B) 888\n(C) 261\n(D) 787\n(E) 17`

Answer: (A)


Question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?\nOptions:\n(A) 12\n(B) 15\n(C) 14\n(D) 18\n(E) 17

Answer: (C)

In this series, each number is repeated, then 13 is subtracted to arrive at the next number.


Question: An archer is shooting arrows from various distances. She shoots at a target from 60 yards, 70 yards, and 80 yards. The probability that she hits within the bullseye from 60 yards is 2/3, the probability that she hits within the bullseye from 70 yards is 3/5, and the probability that she hits within the bullseye from 80 yards is 1/2. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 19/20\n(B) 29/30\n(C) 49/50\n(D) 9/10\n(E) 14/15

Answer: (E)

The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\nThe probability that she misses every shot = (prob that she misses from 60 yards)*(prob that she misses from 70 yards)*(prob that she misses from 80 yards)\nProb that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5; Prob that she misses from 80 yards = 1 - 1/2 = 1/2\nThus the probability that she misses all shots = (1/3)*(2/5)*(1/2) = 2/30 = 1/15\nThus the probability that she makes at least one shot = 1 - (1/15) = 14/15


Question: In an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\nOptions:\n(A)  32\n(B)  64\n(C)  50\n(D)  144\n(E)  160

Answer: (A)


Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 10 sec\n(B) 8 sec\n(C) 5 sec\n(D) 6 sec\n(E) 11 sec

Answer: (D)


Question: In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 3\n(B) 5\n(C) 9\n(D) 4\n(E) 7

Answer: (D)


Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?\nOptions:\n(A) 267\n(B) 766\n(C) 810\n(D) 868\n(E) 812

Answer: (C)


Question: The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?\nOptions:\n(A) 20\n(B) 24\n(C) 30\n(D) 32\n(E) 34

Answer: (C)

Use simultaneous equations / By combination\n4x = 5y + 4\n5x = 6y + 6\nMultiply (1) by 6\nMultiply (2) by -5\nGet rid of y, and x = 6\nThen 5x = 30


Question: From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\nOptions:\n(A) 1360\n(B) 1260\n(C) 1060\n(D) 1160\n(E) 1460

Answer: (B)

There are 36 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 36 ways. When one person is appointed as leader, we are left with 35 students. Out of these 35 teachers, we can select one class representative. So, a class representative can be selected in 35 ways. Hence, the number of ways in which a leader and class representative can be selected = 36 x 35 = 1260


Question: I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?\nOptions:\n(A) 5\n(B) 7\n(C) 23\n(D) 4\n(E) 2

Answer: (A)

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5.


Question: What is the median from the below series\n90, 92, 93, 88, 95, 88, 97, 87, and 98\nOptions:\n(A) 85\n(B) 89\n(C) 92\n(D) 98\n(E) 100

Answer: (C)

Ordering the data from least to greatest, we get:\n87, 88, 88, 90, 92, 93, 95, 96, 98\nThe median score is 92.


Question: Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 3/6\n(D) 3/8\n(E) 5/3

Answer: (D)

A's one day's work = 1/20\nB's one day's work = 1/40\n(A + B)'s one day's work = 1/20 + 1/40 = 3/40\nThe part of the work completed in 5 days = 5 (3/40) = 3/8.


Question: What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x\nOptions:\n(A) 84\n(B) 92\n(C) 94\n(D) 98\n(E) 104

Answer: (C)


Question: Find the simple interest on Rs.520 for 7 months at 8 paisa per month?\nOptions:\n(A) 277\n(B) 270\n(C) 291\n(D) 266\n(E) 121

Answer: (C)


Question: A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?\nOptions:\n(A) 5/19\n(B) 9/20\n(C) 1/57\n(D) 15/57\n(E) 15/684

Answer: (C)

It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 6/20\nProbability of choosing 2nd card of the same type: 5/19\nProbability of choosing 3rd card of the same type: 4/18\nMultiply and you get 1/57


Question: Find the average of the first 19 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 10\n(D) 11\n(E) 12

Answer: (C)

Average of the first 'n' natural numbers = (n + 1)/2\nWe get (19 + 1)/2 = 10


Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 3

Answer: (A)


Question: The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 33\n(B) 18\n(C) 21\n(D) 12\n(E) 19

Answer: (A)

Present age of total members = 6 X 40 = 240\n7 yrs back their ages were = 6 x 7 = 42\nAges at the birth of youngest member = 240 - 42 = 198\nTherefore, avg age at the birth of youngest member = 198/6 = 33.


Question: A 35 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\nOptions:\n(A) 10\n(B) 20\n(C) 88\n(D) 77\n(E) 14

Answer: (A)


Question: There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number?\nOptions:\n(A) 31\n(B) 24\n(C) 29\n(D) 25\n(E) 21

Answer: (D)

The total of 15 numbers = 15X11 = 165\nThe total of first 7 and last 7 numbers is = 7 X 14+7 X 6 = 140\nSo, the middle number is (165 - 140 ) = 25


Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 23\n(B) 26\n(C) 40\n(D) 42\n(E) 49

Answer: (C)

The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.


Question: The average age of 6 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 24\n(B) 25\n(C) 26\n(D) 27\n(E) 28

Answer: (E)


Question: What will come in place of the x in the following Number series? 2, 7, 27, 107, 427, x\nOptions:\n(A) 1427\n(B) 1607\n(C) 1707\n(D) 2047\n(E) 2147

Answer: (C)


Question: The average mark obtained by 22 candidates in an examination is 46. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\nOptions:\n(A) 22\n(B) 0\n(C) 19\n(D) 18\n(E) 16

Answer: (A)

It is clear that 22 x 46 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 22


Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 23\n(B) 25\n(C) 30\n(D) 36\n(E) 39

Answer: (C)

Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.


Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?\nOptions:\n(A) 4\n(B) 0\n(C) 3\n(D) 2\n(E) 1

Answer: (B)

A number ending with 3 can never be a perfect square.


Question: 5,9,20,32,52,__\nOptions:\n(A) 79\n(B) 85\n(C) 81\n(D) 82\n(E) 83

Answer: (B)


Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\nOptions:\n(A) 1\n(B) 3\n(C) 4\n(D) 5\n(E) 6

Answer: (A)

If he draws any combination of 3 socks he will definitely have the matching pair of either colour.