Question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 360 pastries ?\nOptions:\n(A) 6 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours.

Answer: (A)

In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 360 pastries would take 360 ÷ 60 = 6 hours.


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) 2 mins\n(B) 3 mins\n(C) 9 mins\n(D) 8 mins\n(E) 6 mins

Answer: (B)


Question: Scott's average (arithmetic mean) golf score on his first four rounds was 18.What score does he need on his fifth round to drop his average score by 2 points?\nOptions:\n(A) 68\n(B) 72\n(C) 8\n(D) 88\n(E) 312

Answer: (C)

Average score for first 4 rounds = 18\nAverage score after 5 rounds = 16\nScore Scott needs on his 5th round to drop average score by 2 points = 18 - (2*5) = 8


Question: A and B can do a work in 1 day, B and C in 2 days and C and A in 3 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 12/11\n(B) 12/24\n(C) 13/16\n(D) 18/12\n(E) 14/23

Answer: (A)

One day work of A and B = 1/1\nOne day work of B and C = 1/2\nOne day work of C and A = 1/3\n2(A + B + C) = 1/1+ 1/2 + 1/3\n2(A + B + C) = 11/6\n(A + B + C) = 11/12\nNumber of days required = 12/11 days.


Question: How many positive integers less than 60 have a reminder 01 when divided by 3?\nOptions:\n(A) 13\n(B) 14\n(C) 15\n(D) 16\n(E) 20

Answer: (E)

1 also gives the remainder of 1 when divided by 3. So, there are total of 20 numbers.


Question: The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 32\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 * 55 = 385\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 385 - 780 = 32.


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

Answer: (B)

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


Question: A can do a work in 9 days and B can do the same work in 27 days. If they work together, in how many days will they complete the work?\nOptions:\n(A) 6 3/4 days\n(B) 7 3/4 days\n(C) 5 3/4 days\n(D) 6 1/4 days\n(E) 6 2/4 days

Answer: (A)

One day's work of A and B = 1/9 + 1/27 = (3+1)/27 = 4/27 So, the time taken to complete the work is 6 3/4 days.


Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 4 utility stocks, how many different combinations of 6 stocks are possible?\nOptions:\n(A) 1200\n(B) 900\n(C) 600\n(D) 180\n(E) 720

Answer: (C)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 3452\n(B) 2343\n(C) 2435\n(D) 2578\n(E) 5184

Answer: (E)


Question: A merchant sold two items for Rs.1700 each, and makes a profit of 25% from the first item and a loss of 20% from the second item. calculate the total gain or loss.\nOptions:\n(A) 7\n(B) 5\n(C) 3\n(D) 6\n(E) 4

Answer: (B)


Question: An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q’s share in it?\nOptions:\n(A) 1,800\n(B) 2,700\n(C) 3,600\n(D) Data inadequate\n(E) None of these

Answer: (D)

Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine


Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 40, 30 kmph\n(C) 90, 60 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph

Answer: (D)

Speed downstream = 60 + 20 = 80 kmph\nSpeed upstream = 60 - 20 = 40 kmph


Question: There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3.\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11

Answer: (B)

Start from 1: 1368, Start from 2: 2358, Start from 3: 378, Start from 4: 48, Start from 5: 528, Start from 6: 678, Start from 7: 78, Why start from 8???, Start from 9: 918. So flights can start from all 8 other cities.


Question: In what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way?\nOptions:\n(A) 3 sec\n(B) 4 sec\n(C) 8 sec\n(D) 6 sec\n(E) 7 sec

Answer: (C)


Question: Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of color sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

Answer: (A)

1 sensor between the black and white border on the edge of disk\n1 is enough to determine the drection


Question: Which of the following numbers is divisible by each one of 3, 7, 9 and 11?\nOptions:\n(A) 639\n(B) 2079\n(C) 3791\n(D) 37911\n(E) None of these

Answer: (B)

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


Question: There are 3 teams each with 3 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 27\n(D) 28\n(E) 45

Answer: (C)

There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand.


Question: Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?\nOptions:\n(A) 14\n(B) 12\n(C) 13\n(D) 15\n(E) 11

Answer: (C)

This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on.


Question: Find the least number must be added to 433124 so that remaining no.is divisible by 17?\nOptions:\n(A) 3\n(B) 2\n(C) 5\n(D) 6\n(E) 1

Answer: (B)

On dividing 433124 by 17 we get the remainder 15, so 2 should be added


Question: The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?\nOptions:\n(A) 3x\n(B) 4x\n(C) 9x\n(D) 12x\n(E) 27x

Answer: (A)

Original perimeter = x\nHence original side = x/4\nNew side = 3x/4\nNew perimeter = 4*3x/4 = 3x


Question: Find the average of the first 25 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 13\n(D) 11\n(E) 12

Answer: (C)

Average of the first 'n' natural numbers = (n + 1)/2\nWe get (25 + 1)/2 = 13


Question: 5,9,19,31,51,__\nOptions:\n(A) 84\n(B) 80\n(C) 81\n(D) 82\n(E) 83

Answer: (A)


Question: If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?\nOptions:\n(A) 52\n(B) 166\n(C) 84\n(D) 122\n(E) 168

Answer: (B)


Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?\nOptions:\n(A) 20\n(B) 22\n(C) 24\n(D) 27\n(E) 30

Answer: (D)

Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes


Question: In an office, 50 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)  8\n(B)  64\n(C)  50\n(D)  144\n(E)  160

Answer: (A)


Question: Ten percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $400 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $21.25m\n(B) $25.5m\n(C) $106.25m\n(D) $127.5m\n(E) $20000m

Answer: (E)


Question: If c and d are unique prime integers, which of the following must be even?\nOptions:\n(A) c−d\n(B) 2c−2d\n(C) c−2d\n(D) 2c−d\n(E) cd^2

Answer: (B)

Any number multiplied by 2 has to be an even number


Question: There are 1000000 people in city X, out of these 70% people having voting rights and out of those 55% voters votes candidate A and out of them 20% voters are senior citizens.Then find out the number of senior citizens who votes candidate A having voting rights?\nOptions:\n(A) 8300\n(B) 14500\n(C) 7700\n(D) 13000\n(E) 5900

Answer: (C)

Total number of people having voting rights = 100000; out of those 70% voters votes candidate A = 70000; out of them 55% voters votes candidate A = 38500; out of them 20% voters are senior citizens = 7700


Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 27\n(B) 30\n(C) 31\n(D) 33\n(E) 34

Answer: (A)

The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (126 - 99 ) = 27


Question: How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?\nOptions:\n(A) 8\n(B) 0\n(C) 6\n(D) 10\n(E) 12

Answer: (B)

A number ending with 2 can never be a perfect square.


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) 6\n(B) 7\n(C) 8\n(D) 9\n(E) 5

Answer: (C)

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


Question: P and Q invested in a shop. The profits were divided in the ratio of 5: 2 respectively. If P invested Rs. 5600, the amount invested by Q is:\nOptions:\n(A) 3500\n(B) 5600\n(C) 2200\n(D) 2400\n(E) None

Answer: (E)

Suppose Q invested Rs. y. Then, 5600/y = 5/2 or y = [5600 x 2 / 5] = 2240


Question: Preethi has 6 flavors of ice cream in his parlor. How many options are there for Dorathy to pick a one-flavor, two-flavor, three-flavor, four-flavor, five flavor or six flavor order?\nOptions:\n(A) 26\n(B) 36\n(C) 64\n(D) 67\n(E) 63

Answer: (E)


Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\nOptions:\n(A) 300\n(B) 992\n(C) 772\n(D) 552\n(E) 312

Answer: (A)


Question: There are 13person 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) 7!*2!\n(C) 6!*1!\n(D) 10!*2!\n(E) 5!*1!

Answer: (D)


Question: The price of a T.V. set worth Rs. 20000 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) 19002\n(B) 19028\n(C) 27788\n(D) 19000\n(E) 27711

Answer: (D)

Money paid in cash = Rs. 1000\nBalance payment = (20000 - 1000) = Rs. 19000


Question: N number of persons decide to raise 3 lakhs by equal contributions from each. If they contributed 50 each extra, the contribution would be 3.25 lakhs. How many persons are there?\nOptions:\n(A) 600\n(B) 400\n(C) 450\n(D) Cannot be determined\n(E) None of these

Answer: (E)


Question: A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 2\n(B) 7\n(C) 9\n(D) 10\n(E) 15

Answer: (D)


Question: If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream\nOptions:\n(A) 1kmph\n(B) 2 kmph\n(C) 1.5 kmph\n(D) 12 kmph\n(E) 15 kmph

Answer: (A)

Speed upstream = 16/4 = 4 kmph\nSpeed down stream = 24/4 = 6 kmph\nSpeed of stream = ½ (6-4) = 1 kmph


Question: Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.\nOptions:\n(A) 9974\n(B) 9125\n(C) 9565\n(D) 9997\n(E) None of these

Answer: (E)

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.


Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\nOptions:\n(A) 18 sec\n(B) 77 sec\n(C) 48 sec\n(D) 28 sec\n(E) 12 sec

Answer: (C)


Question: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?\nOptions:\n(A) 10\n(B) 20\n(C) 45\n(D) 60\n(E) 120

Answer: (C)

Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45


Question: Find the simple interest on Rs.300 for 9 months at 6 paisa per month?\nOptions:\n(A) 142\n(B) 152\n(C) 162\n(D) 172\n(E) 182

Answer: (C)


Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% 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) 6000\n(C) 8000\n(D) 10000\n(E) None of these

Answer: (C)


Question: 30 pens and 75 pencils were purchased for 750. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 20\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (A)

Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (750 – 150) = 600\n∴ Average price of a pen = 600⁄60 = 20


Question: Rs.900 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) Rs.1056\n(B) Rs.1001\n(C) Rs.2056\n(D) Rs.1026\n(E) Rs.1856

Answer: (B)


Question: Find the odd man out\n25, 49, 81, 121, 144, 169\nOptions:\n(A) 49\n(B) 121\n(C) 144\n(D) 169\n(E) 25

Answer: (C)

144 is square of 12 which is even number where as all others are squares of odd numbers.


Question: The average age of a family of 6 members is 34 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) 15\n(B) 18\n(C) 21\n(D) 12\n(E) 27

Answer: (E)

Present age of total members = 6 X 34 = 204\n7 yrs back their ages were = 6 x 7 = 42\nAges at the birth of youngest member = 204 - 42 = 162\nTherefore, avg age at the birth of youngest member = 162/6 = 27.


Question: By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?\nOptions:\n(A) 20\n(B) 99\n(C) 77\n(D) 63\n(E) 61

Answer: (A)

Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km\nHe covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.


Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?\nOptions:\n(A) 8%\n(B) 15%\n(C) 45%\n(D) 52%\n(E) 56%

Answer: (C)

First $20 million: royalties/sales ratio = 3/20 = 36/240\nNext $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 22777\n(B) 28877\n(C) 26888\n(D) 28800\n(E) 67881

Answer: (D)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 4567\n(B) 4689\n(C) 5004\n(D) 5678\n(E) 5184

Answer: (E)


Question: Look at this series: 0.05, 0.2, ____, 3.2, 12.8, ... What number should fill the blank?\nOptions:\n(A) 0.5\n(B) 0.6\n(C) 0.9\n(D) 0.7\n(E) 0.8

Answer: (E)

This is a simple multiplication series. Each number is 4 times greater than the previous number.


Question: Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 15 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/17 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 17 1/8 min\n(E) 17 5/7 min

Answer: (A)


Question: A can do a piece of work in 9 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 18\n(B) 77\n(C) 66\n(D) 54\n(E) 12

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) 5 sec\n(B) 4 sec\n(C) 3 sec\n(D) 6 sec\n(E) 1 sec

Answer: (B)


Question: The average of first 10 even numbers is?\nOptions:\n(A) 226\n(B) 27\n(C) 27\n(D) 11\n(E) 99

Answer: (D)

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


Question: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?\nOptions:\n(A) 50 kmph\n(B) 60 kmph\n(C) 70 kmph\n(D) 80 kmph\n(E) 85 kmph

Answer: (C)


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) 2888\n(C) 2669\n(D) 2770\n(E) 2771

Answer: (A)


Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\nOptions:\n(A)  2,060\n(B)  1,320\n(C)  545\n(D)  364\n(E)  220

Answer: (D)


Question: Which of the following numbers is divisible by 5?\nOptions:\n(A) 3221\n(B) 6175\n(C) 6231\n(D) 5813\n(E) 4251

Answer: (B)

6175. This is the only option with last two digits divisible by 5


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?\nOptions:\n(A) 40 sec\n(B) 42 sec\n(C) 44 sec\n(D) 48 sec\n(E) 50 sec

Answer: (C)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 190 = 550 m\nRequired time = 550 * 2/25 = 44 se


Question: The number N is 5,2H1, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 6\n(E) 9

Answer: (A)

Integer is divisible by 3 - Sum of digits is divisible by 3


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is\nOptions:\n(A) 1/10\n(B) 9/10\n(C) 1/5\n(D) 3/10\n(E) 1/2

Answer: (C)

10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\nRequired probability = 1/5


Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 219\n(B) 246\n(C) 252\n(D) 262\n(E) 270

Answer: (A)

Number of newborns that can die in first month = 1/10 * 300 = 30\nSurvived = 270\nNumber of newborns that can die in second month = 1/10 * 270 = 27\nSurvived = 243\nNumber of newborns that can die in third month = 1/10 * 243 = 24\nSurvived = 219


Question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs 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) 8 hrs 18 min\n(B) 8 hrs 85 min\n(C) 8 hrs 15 min\n(D) 7 hrs 15 min\n(E) 8 hrs 25 min

Answer: (C)

Number of pages typed by Ronald in 1 hour = 32/6 = 16/3\nNumber of pages typed by Elan in 1 hour = 40/5 = 8\nNumber of pages typed by both in 1 hour = (16/3 + 8) = 40/3\nTime taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min


Question: A train 360 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) 18\n(C) 48\n(D) 99\n(E) 32

Answer: (E)


Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 51% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\nOptions:\n(A) 60%\n(B) 50%\n(C) 25%\n(D) 16%\n(E) 10%

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 51 - {both} + 40\n{both} = 16%.


Question: Divide Rs.32000 in the ratio 3:3?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 16000, 16000\n(D) 12000, 20006\n(E) 12000, 20001

Answer: (C)


Question: Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years have become the members of the club, find average age of all the 11 members.\nOptions:\n(A) 15\n(B) 31\n(C) 77\n(D) 99\n(E) 22

Answer: (B)

Average age of 9 members = 29 years; Excess age of 2 new members = (40 - 29) × 2 = 22 years\nTherefore, Increase in the average age on inclusion of 2 new members = 22112211 = 2 years\nTherefore, Average age of 11 members = 29 + 2 = 31 years


Question: The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 25\n(B) 27\n(C) 29\n(D) 33\n(E) 34

Answer: (D)

The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 12+3 X 19 = 99\nSo, the middle number is (126 - 93 ) = 33


Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?\nOptions:\n(A) 120 sq m\n(B) 150 sq m\n(C) 110 sq m\n(D) 300 sq m\n(E) 330 sq m

Answer: (B)


Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?\nOptions:\n(A) 16.5\n(B) 16.0\n(C) 15\n(D) 16.8\n(E) 16.1

Answer: (C)


Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a white shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 29\n(B) 39\n(C) 54\n(D) 64\n(E) 75

Answer: (E)

The correct answer should not take the form: 5x + 4. Hence, it is


Question: Divide Rs.32000 in the ratio 1:9?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 12000, 20007\n(D) 3200, 28800\n(E) 12000, 20001

Answer: (D)


Question: Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5

Answer: (A)

Maximum power of 5 in the above expression can be calculated like this. Count all the powers of 5 in the above expression. So number of zeroes are 9.


Question: In how many different ways can the letters of the word "POLICE" be rearrangement?\nOptions:\n(A) 710\n(B) 725\n(C) 720\n(D) 770\n(E) 722

Answer: (C)

Option 'C'\nThe total number of arrangements is\n6P6 = 6! = 720


Question: There are 4 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?\nOptions:\n(A) 10\n(B) 8\n(C) 40\n(D) 60\n(E) 120

Answer: (B)

Each person is one participant of 4 games. So there are in all 4*4 = 16 instances of one participant games. But each game has 2 participants so total number of games = 16/2 = 8


Question: What is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?\nOptions:\n(A) 7000\n(B) 700\n(C) 70000\n(D) 70\n(E) 7

Answer: (A)


Question: 2 44 4 41 6 38 8 - Look carefully for the pattern, and then choose which pair of numbers comes next.\nOptions:\n(A) 35 10\n(B) 12 10\n(C) 9 34\n(D) 52 10\n(E) 34 89

Answer: (D)

Here, there are two alternating patterns, one addition and one subtraction. The first starts with 2 and increases by 2; the second starts with 44 and decreases by 3.


Question: You are filling up your car with gas. Your tank can hold 19 gallons. Your car started with x gallons in it. You paid $20 in gas. What was the cost of gas per gallon?\nOptions:\n(A) 19/20\n(B) x/20\n(C) (19-x) /20\n(D) x-19) /20\n(E) 19+20/x

Answer: (C)

Amount of gas you added to your car: 19-x\nPrice per gallon: (19-x)/20


Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 360\n(C) 60\n(D) 180\n(E) 720

Answer: (B)


Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?\nOptions:\n(A) 15\n(B) 17\n(C) 19\n(D) 10\n(E) 12

Answer: (A)


Question: The average of first four prime numbers greater than 50 is?\nOptions:\n(A) 50\n(B) 57\n(C) 89\n(D) 56\n(E) 60

Answer: (E)


Question: If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days?\nOptions:\n(A) 120\n(B) 240\n(C) 360\n(D) 1200\n(E) 480

Answer: (E)


Question: A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?\nOptions:\n(A) 5/15\n(B) 2/21\n(C) 20/15\n(D) 5/210\n(E) 4/14

Answer: (B)

Of the 15 marbles we are wanting red:\nProbability of choosing 1st red marble: 5/15\nProbability of Choosing 2nd red marble: 4/14\nMultiply and you get 20/210 simplified to 2/21


Question: A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?\nOptions:\n(A) 12 hrs\n(B) 24 hrs\n(C) 36 hrs\n(D) 48 hrs\n(E) 42 hrs

Answer: (D)

Time taken by leak to empty tank = 1/(1/16-1/24) = 48 hrs


Question: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\nOptions:\n(A) 28 days\n(B) 76 days\n(C) 16 days\n(D) 18 days\n(E) 19 days

Answer: (A)


Question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?\nOptions:\n(A) 356\n(B) 278\n(C) 300\n(D) 279\n(E) 150

Answer: (C)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 18 = 300 m


Question: Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?\nOptions:\n(A) A) 12\n(B) B) 14\n(C) C) 38\n(D) D) 53\n(E) E) 86

Answer: (C)

In this series, each number is repeated, then 5 is subtracted to arrive at the next number.


Question: The edge of a cube is 2a cm. Find its surface?\nOptions:\n(A) 23a2 cm2\n(B) 84a2 cm2\n(C) 64a2 cm2\n(D) 24a2 cm2\n(E) 14a2 cm2

Answer: (D)


Question: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/4%\n(B) 33 1/3%\n(C) 33 7/3%\n(D) 33 5/3%\n(E) 33 1/7%

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 Q 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 Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.


Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.\nOptions:\n(A) 6/63\n(B) 2/63\n(C) 125/126\n(D) 1/126\n(E) 1/63

Answer: (C)

Required probability = 1 - 1/126 = 125/126


Question: George's car calls for 8 ounces of oil for each cylinder used. His car's engine has 6 cylinders. If 16 ounces of oil has already been put into the engine used, then how many additional ounces of oil are needed?\nOptions:\n(A) 16\n(B) 48\n(C) 64\n(D) 32\n(E) 8

Answer: (D)

Number of ounces per cylinder 8\nNumber of cylinders 6\nOunces needed 48\nOunces used 16


Question: On a clock, how many times a day do the minute and hour hand overlap?\nOptions:\n(A) 10\n(B) 11\n(C) 20\n(D) 22\n(E) 24

Answer: (D)


Question: The edge of a cube is 4a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 96a2\n(D) 24a2\n(E) 24a7

Answer: (C)


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 28800\n(B) 24800\n(C) 24400\n(D) 20000\n(E) None

Answer: (A)


Question: The measure of the side of a square is multiplied by 7. If x represents the perimeter of the original square, what is the value of the new perimeter?\nOptions:\n(A) 3x\n(B) 4x\n(C) 7x\n(D) 12x\n(E) 27x

Answer: (C)

Original perimeter = x\nHence original side = x/4\nNew side = 7x/4\nNew perimeter = 4*7x/4 = 7x


Question: (x +1 )(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d What are the values of a, b, c and d?\nOptions:\n(A) 2\n(B) 7\n(C) 6\n(D) 1\n(E) 9

Answer: (C)

(x + 1)(2x - 2)(3x + 3) = ax3+bx2+cx+dax3+bx2+cx+d\n6(x + 1)(x - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\n6(x2x2 - 1)(x + 1) = ax3+bx2+cx+dax3+bx2+cx+d\n⇒6(x3+x2−x−1)⇒6(x3+x2−x−1) = ax3+bx2+cx+dax3+bx2+cx+d\n⇒6x3+6x2−6x−6⇒6x3+6x2−6x−6 = ax3+bx2+cx+dax3+bx2+cx+d\nEquating the coefficients of like learns on both the sides, a = 6, b = 6, c = -6 and d = -6.


Question: Count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6?\nOptions:\n(A) One\n(B) Three\n(C) Two\n(D) Five\n(E) Four

Answer: (E)

Answer = E) Four\nNumbers between 10 - 99 giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93\nThe above Numbers giving remainder 1 when divided by 6 = 13, 37, 61, 85 = 4


Question: Find the least number must be added to 228712 so that remaining no.is divisible by 9?\nOptions:\n(A) 5\n(B) 3\n(C) 1\n(D) 6\n(E) 2

Answer: (A)

On dividing 228712 by 9 we get the remainder 4, so 5 should be subtracted


Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (D)

Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph


Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 13 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\nOptions:\n(A)  2,060\n(B)  1,320\n(C)  545\n(D)  315\n(E)  286

Answer: (E)


Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.160. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 450\n(C) C) 500\n(D) D) 550\n(E) E) 600

Answer: (D)


Question: Divide Rs.32000 in the ratio 1:7?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 4000, 28000\n(D) 12000, 20006\n(E) 12000, 20001

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) 356\n(B) 250\n(C) 127\n(D) 279\n(E) 150

Answer: (B)

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


Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?\nOptions:\n(A) 4 mins\n(B) 10 mins\n(C) 15 mins\n(D) 3 mins\n(E) 7 mins

Answer: (A)

Answer will be A\nThe time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 4 mins.


Question: If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?\nOptions:\n(A) 50 kg\n(B) 100 kg\n(C) 150 kg\n(D) 200 kg\n(E) 250 kg

Answer: (B)


Question: Find the product of the localvalue and absolutevalue of 4 in 20468?\nOptions:\n(A) 1000\n(B) 1100\n(C) 1200\n(D) 1300\n(E) 1600

Answer: (E)

Local value of 4 = 4 x 100 = 400\nPlace value of 4 = 4\nThere fore = 4 x 400 = 1600


Question: From among the 35 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) 1190\n(E) 1460

Answer: (D)

There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190


Question: In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\nOptions:\n(A) 5^3 ways\n(B) 8^9 ways\n(C) 7^8 ways\n(D) 8^7 ways\n(E) 8^6 ways

Answer: (A)

5 people can be prized with 3 distinct prizes in 5^3 ways


Question: Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?\nOptions:\n(A) 5\n(B) 8\n(C) 7\n(D) 6\n(E) 9

Answer: (D)

On dividing 899830 by 16 we get the remainder 6, so 6 should be subtracted


Question: A train 320 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) 72 kmph\n(E) 88 kmph

Answer: (D)


Question: In a school of 850 boys, 44% of Muslims, 32% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) A) 125\n(B) B) 119\n(C) C) 153\n(D) D) 721\n(E) E) 159

Answer: (B)


Question: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 50%\n(C) 17%\n(D) 17.61%\n(E) 17.56%

Answer: (B)


Question: One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?\nOptions:\n(A) 1/2\n(B) 1/3\n(C) 1/5\n(D) 1/6\n(E) 1/4

Answer: (B)


Question: Which of the following is equal to (y+1)!/y!?\nOptions:\n(A) y-1\n(B) 1+(1/y) \n(C) 1\n(D) y+1\n(E) y

Answer: (D)


Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) 238\n(B) 270\n(C) 987\n(D) 167\n(E) 121

Answer: (B)


Question: The number N is 6,2X4, where X represents the ten's digit. If N is divisible by 9, what is the value of X?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 7\n(E) 6

Answer: (E)

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


Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:\nOptions:\n(A) 8%\n(B) 6%\n(C) 9%\n(D) 10%\n(E) 11%

Answer: (A)

Rs 1552 income = Rs 128\nBy investing Rs 97 income = 128/1552*97 = Rs 8\nDivdend = 8%


Question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:\nOptions:\n(A) 35000\n(B) 40000\n(C) 50000\n(D) 60000\n(E) None

Answer: (D)


Question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 240 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours.

Answer: (D)

In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 ÷ 60 = 4 hours.


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) 30229\n(B) 3000\n(C) 278\n(D) 274\n(E) 287

Answer: (B)


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

Answer: (C)

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


Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/7 %\n(B) 22 3/2 %\n(C) 22 1/8 %\n(D) 22 1/2 %\n(E) 22 1/2 %

Answer: (D)


Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 70 minutes\n(D) 27 minutes\n(E) 11 minutes

Answer: (C)


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. 55 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: (A)

A 54 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 54 matches were played.


Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 46\n(B) 56\n(C) 66\n(D) 76\n(E) 74

Answer: (B)


Question: The average of first 10 even numbers is?\nOptions:\n(A) 19\n(B) 18\n(C) 16\n(D) 11\n(E) 17

Answer: (D)

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


Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 1560\n(B) 1561\n(C) 1559\n(D) 1557\n(E) None of the above

Answer: (B)

We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.


Question: What is the units digit of the expression 14^7−15^4?\nOptions:\n(A)  0\n(B)  8\n(C)  4\n(D)  6\n(E)  3

Answer: (B)

I think answer on this one should be B too. Since we know that 14^7>15^4, as Will said one should always check if the number is positive.


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) 6 sec\n(B) 7 sec\n(C) 7 2/2 sec\n(D) 8 sec\n(E) 9 sec

Answer: (A)


Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?\nOptions:\n(A) 662\n(B) 672\n(C) 652\n(D) 642\n(E) 721

Answer: (A)


Question: A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?\nOptions:\n(A) 75 m\n(B) 180 m\n(C) 324 m\n(D) Cannot be determined\n(E) None of these

Answer: (A)

Speed = 30 * 5/18 = 25/3 m/sec\nLength of the train = speed * time = 25/3 * 9 = 75 m


Question: A man rows his boat 95 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) 7 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 10 kmph

Answer: (E)

Speed downstream = d/t = 95/(2 1/2) = 38 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (38 - 18)/2 = 10 kmph


Question: A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 0\n(E) 1

Answer: (A)


Question: How many terminating zeroes E 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: Find the least number must be subtracted from 165826 so that remaining no.is divisible by 4?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

Answer: (B)

On dividing 165826 by 4 we get the remainder 2, so 2 should be subtracted


Question: The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 125\n(B) 126\n(C) 127\n(D) 128\n(E) 129

Answer: (A)


Question: How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 15\n(B) 57\n(C) 16\n(D) 12\n(E) 73

Answer: (D)


Question: In how many ways can you seat 5 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) 48\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080

Answer: (A)

Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.


Question: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 49%\n(C) 54%\n(D) 59%\n(E) 61%

Answer: (C)


Question: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?\nOptions:\n(A) Two\n(B) Five\n(C) Six\n(D) Four\n(E) One

Answer: (A)

Answer = A) Two\nNumbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93\nThe Numbers giving remainder 2 when divided by 5 = 12, 57 = 2


Question: 10 men and 15 women together can complete a work in 3 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) 1 2/7 days\n(B) 64 2/7 days\n(C) 1 7/7 days\n(D) 1 8/7 days\n(E) 62 2/5 days

Answer: (B)

1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/3\n15 women's 1 day work = (1/3- 10/100) = 7/30\n1 woman's 1 day work = 7/450\n1 woman alone can complete the work in 64 2/7 days.


Question: Efrida and Frazer who live 15 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 10\n(E) 13

Answer: (E)

It's a simple geometry problem. Look at the diagram below:


Question: In what time a sum of money double itself at 7% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 14 2/7%\n(D) 32 1/3%\n(E) 23 1/3%

Answer: (C)


Question: On 3,000 invested at a simple interest rate 6 p.c.p.a, 900 is obtained as interest in certain years. In order to earn 1,600 as interest on 4,000 in the same number of years, what should be the rate of simple interest?\nOptions:\n(A) 7 p.c.p.a.\n(B) 8 p.c.p.a.\n(C) 9 p.c.p.a.\n(D) Data inadequate\n(E) None of these

Answer: (B)


Question: What is the are of an equilateral triangle of side 16 cm?\nOptions:\n(A) 64√5\n(B) 64√9\n(C) 44√3\n(D) 64√3\n(E) 14√3

Answer: (D)

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


Question: A boy runs 200 metres in 24 seconds. What is his speed ?\nOptions:\n(A) 20 km/hr\n(B) 24 km/hr\n(C) 28.5 km/hr\n(D) 30 km/hr\n(E) 35 km/hr

Answer: (D)


Question: If anitha rows 65 km upstream and 105 km down steam taking 13 hours each, then the speed of the stream\nOptions:\n(A) 8.4 kmph\n(B) 5.5 kmph\n(C) 6 kmph\n(D) 8 kmph\n(E) 8.2 kmph

Answer: (D)

Speed upstream = 65/13 = 5 kmph\nSpeed down stream = 105/5 = 21 kmph\nSpeed of stream = ½ (21-5) = 8 kmph


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

Answer: (C)


Question: A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.67?\nOptions:\n(A) 4\n(B) 6\n(C) 9\n(D) 11\n(E) 14

Answer: (C)


Question: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?\nOptions:\n(A)  1/14\n(B)  1/7\n(C)  3/7\n(D)  2/7\n(E)  1/2

Answer: (C)

Total ways to choose 4 employees from 8 employees = 8C4\nTwo women = 5C2\nTwo Men = 3C2\nP = (5C2 * 3C2)/8C2 = 3/7 hence


Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?\nOptions:\n(A) 15\n(B) 67\n(C) 18\n(D) 19\n(E) 12

Answer: (A)


Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/7%\n(B) 22 7/2%\n(C) 29 1/2%\n(D) 22 1/2%\n(E) 22 1/3%

Answer: (D)


Question: A cheetah runs m miles in n hours. How many miles will it run in x hours at the same rate?\nOptions:\n(A) mnx\n(B) m⁄n\n(C) mx⁄n\n(D) mx\n(E) mn⁄x

Answer: (C)

Given Speed = m/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDistance = m/n*x = mx/n


Question: In a school of 850 boys, 40% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) A) 125\n(B) B) 627\n(C) C) 187\n(D) D) 721\n(E) E) 159

Answer: (C)


Question: A certain car uses 12 gallons of gasoline in traveling 300 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) 5\n(D) 8\n(E) 10

Answer: (C)


Question: If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/2\n(D) 4/5\n(E) 4/7

Answer: (C)


Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 450 or over 650. If the individual ranges of the three people's scores in those 4 practice tests were 30, 80 and 110, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 90\n(B) 120\n(C) 50\n(D) 70\n(E) 100

Answer: (A)

According to the information in the question the maximum range would be between 450 and 650(200). The minimum range would be the greatest range for any one individual, which is listed in the problem as 110. So the difference between these would be 200-110 or 90.


Question: Find 94 ×× 97\nOptions:\n(A) 93/198\n(B) 93/12\n(C) 93/18\n(D) 93/10\n(E) 93/11

Answer: (C)

Here both numbers are less than 100. So they are deficient of - 6 and - 3 compared with 100. So


Question: 5,9,18,31,52,__\nOptions:\n(A) 79\n(B) 80\n(C) 86\n(D) 82\n(E) 83

Answer: (C)


Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 22\n(B) 56\n(C) 44\n(D) 55\n(E) 81

Answer: (B)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 3451\n(B) 3467\n(C) 3891\n(D) 4601\n(E) 5184

Answer: (E)


Question: How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 28 sec\n(B) 23 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec

Answer: (E)


Question: A train 210 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) 49 sec\n(E) 28 sec

Answer: (E)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 210 + 140 = 350 m\nRequired time = 350 * 2/25 = 28 sec


Question: A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?\nOptions:\n(A) 3\n(B) 2 2/8\n(C) 2 2/0\n(D) 2 2/2\n(E) 2 2/1

Answer: (A)

Work done by all three of them in one day = 1/8 + 1/8 + 1/12 = 1/3\nThe number of days required = 3 days.


Question: A family pays $800 per year for an insurance plan that pays 65 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) $1,000\n(B) $1,200\n(C) $1,400\n(D) $1,500\n(E) $2,200

Answer: (D)

Upfront payment for insurance plan = 800$\nFamily needs to pay 35 % of first 1000 $ in expense = 350$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350 = 1150 $\nTotal amount paid by insurance plan for first 1000 $ = 800 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1500 $\n(Since insurance plan will pay 100% of amount that exceeds 1150$ )


Question: A can do a job in 12 days and B can do it in 15 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 22 1/2\n(C) 22 1/0\n(D) 22 1/9\n(E) 13 1/3

Answer: (E)


Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:5\n(C) 1:4\n(D) 1:1\n(E) 1:8

Answer: (A)


Question: A family pays $850 per year for an insurance plan that pays 80 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) $1,000\n(B) $1,250\n(C) $1,400\n(D) $1,800\n(E) $2,200

Answer: (B)

Upfront payment for insurance plan = 850$\nFamily needs to pay 20 % of first 1000 $ in expense = 200$\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 850 + 200 = 1050 $\nTotal amount paid by insurance plan for first 1000 $ = 850 $\nTotal amount paid by family will equal amount paid by plan when medical expense = 1250 $\n(Since insurance plan will pay 100% of amount that exceeds 1050$ )


Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 226\n(B) 992\n(C) 665\n(D) 771\n(E) 211

Answer: (B)


Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 18\n(E) 22

Answer: (B)

The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours


Question: John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 100%\n(C) 17%\n(D) 17.61%\n(E) 17.56%

Answer: (B)


Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/9\n(B) 17 1/0\n(C) 17 1/7\n(D) 17 1/2\n(E) 17 1/3

Answer: (C)


Question: There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.\nOptions:\n(A) 29\n(B) 31\n(C) 32\n(D) 24\n(E) 21

Answer: (B)

31. only the perfect squares between 1 to 1k


Question: The average of 11 results is 52, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) A) 46\n(B) B) 34\n(C) C) 66\n(D) D) 76\n(E) E) 74

Answer: (B)


Question: If P(A) = 2/15, P(B) = 7/15, and P(A âˆª B) = 16/15 Find P(A|B)\nOptions:\n(A) 1/2\n(B) 16/7\n(C) 3/2\n(D) 4/5\n(E) 4/7

Answer: (B)


Question: What is the greatest positive integer x such that 4^x is a factor of 64^10?\nOptions:\n(A) 5\n(B) 9\n(C) 10\n(D) 20\n(E) 30

Answer: (E)


Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:0\n(C) 1:87\n(D) 1:6\n(E) 1:1

Answer: (A)


Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.155. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 450\n(C) C) 500\n(D) D) 550\n(E) E) 600

Answer: (C)


Question: From group of 15 cricket players a team of 11 players is to be chosen. How many ways this can be done?\nOptions:\n(A) 3252\n(B) 1365\n(C) 5325\n(D) 1432\n(E) 1324

Answer: (B)

11 players are to be chosen from 15 players. This can be done in 15C11 ways. ie) 15!/11!x4! = 1365 ways. Ans:


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?\nOptions:\n(A) 1/7\n(B) 1/9\n(C) 1/5\n(D) 1/8\n(E) 1/2

Answer: (C)

10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\nRequired probability = 1/5


Question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.170. Find the unknown rate of two towels?\nOptions:\n(A) A) 400\n(B) B) 650\n(C) C) 500\n(D) D) 550\n(E) E) 600

Answer: (B)


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 1.1 km long?\nOptions:\n(A) 2 mins 14 sec\n(B) 2 mins 34 sec\n(C) 156 sec\n(D) 134 sec\n(E) 2 mins 44 sec

Answer: (C)


Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\nOptions:\n(A) 17 sec\n(B) 14 sec\n(C) 48 sec\n(D) 87 sec\n(E) 25 sec

Answer: (C)


Question: There are 8 books in a shelf that consist of 3 paperback books and 5 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) 40\n(B) 46\n(C) 50\n(D) 55\n(E) 60

Answer: (B)

8C3 [Select any four] -5C3 [Select all hard backs] = 46


Question: John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?\nOptions:\n(A) 15%\n(B) 16.66%\n(C) 17.8%\n(D) 80%\n(E) 21%

Answer: (D)


Question: Is 2 a prime number or a composite number?\nOptions:\n(A) prime number\n(B) composite number\n(C) both prime composite number\n(D) Not prime composite number\n(E) Don't Know

Answer: (A)

A Prime Number can be divided evenly only by 1 or itself\nSo 2 is prime number


Question: The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.\nOptions:\n(A) 259200 cm3\n(B) 86400 cm3\n(C) 720 cm3\n(D) Cannot be determined\n(E) None of these

Answer: (C)

Volume of the box = √120×72×60 = 720 cm3


Question: How many terminating zeroes W 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: The average age of a class of 12 students is 8 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) 21 Years\n(D) 34 Years\n(E) 49 Years

Answer: (C)

Total age of students is 12X8 = 96 Years\nTotal age inclusive of teacher = 13X (8+1) = 117\nSo, Teacher's age is 117-96 = 21 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 8+(13X1) = 21 Years


Question: What amount does Kiran get if he invests Rs. 18000 at 12% p.a. simple interest for four years?\nOptions:\n(A) 29893\n(B) 26640\n(C) 29989\n(D) 28800\n(E) 29883

Answer: (B)


Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\nOptions:\n(A) 22\n(B) 77\n(C) 12\n(D) 41\n(E) 76

Answer: (D)

(1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48\nRemaining work = (1 - 7/48) = 41/48\nWork done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48\nNumber of boys required = 41/48 * 41 = 41.


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) 8 min\n(C) 9 min\n(D) 6 min\n(E) 1 min

Answer: (A)


Question: A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?\nOptions:\n(A) mnx\n(B) m⁄n\n(C) mx⁄n\n(D) mx\n(E) mn⁄x

Answer: (C)

Given Speed = m/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDistance = m/n*x = mx/n


Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\nOptions:\n(A) 20\n(B) 23\n(C) 25\n(D) 27\n(E) 28

Answer: (B)

(1056 / 23) gives remainder 21\n21 + 2 = 23, So we need to add 2


Question: The population of a bacteria colony doubles every day. If it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?\nOptions:\n(A) 512\n(B) 1024\n(C) 768\n(D) 2048\n(E) 4096

Answer: (B)

9 days ago- 2\n8 days ago- 4\n7 days ago- 8\n6 days ago- 16\n5 days ago- 32\n4 days ago- 64\n3 days ago- 128\n2 days ago- 256\nYesterday- 512\nToday- 1024


Question: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/9%\n(B) 33 1/3%\n(C) 33 7/3%\n(D) 33 2/3%\n(E) 33 8/3%

Answer: (B)


Question: A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 45\n(C) 40\n(D) 66\n(E) 09

Answer: (C)


Question: Divide Rs.32000 in the ratio 3:5?\nOptions:\n(A) 12000, 20000\n(B) 12000, 200098\n(C) 12000, 20007\n(D) 12000, 20006\n(E) 12000, 20001

Answer: (A)


Question: A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 22 1/2\n(C) 22 1/0\n(D) 15\n(E) 22 1/1

Answer: (D)


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 1/8\n(B) 7 1/6\n(C) 7 1/5\n(D) 7 1/2\n(E) 7 1/1

Answer: (D)


Question: The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 4/189\n(D) 1/96\n(E) 1/68

Answer: (C)


Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 45 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 36 minutes\n(D) 27 minutes\n(E) 11 minutes

Answer: (C)


Question: If a man can cover 16 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) 216 km\n(D) 1887 km\n(E) 177 km

Answer: (C)

16 m/s = 16 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 16 * 18/5 * 15/4 km = 216 km.


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) 225 meter\n(B) 200 meter\n(C) 250 meter\n(D) 190 meter\n(E) 180 meter

Answer: (B)

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


Question: A boy runs 200 metres in 72 seconds. What is his speed ?\nOptions:\n(A) 10 km/hr\n(B) 14 km/hr\n(C) 20 km/hr\n(D) 12 km/hr\n(E) 24 km/hr

Answer: (A)


Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?\nOptions:\n(A) 5/15\n(B) 5/12\n(C) 5/19\n(D) 5/12\n(E) 5/11

Answer: (B)

Using question number 11 and 12, we get the probability as\n1 - (1/36 + 5/9) = 5/12


Question: How much is 90% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 66\n(D) 16\n(E) 99

Answer: (D)


Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?\nOptions:\n(A) 9% loss\n(B) 400\n(C) 4000\n(D) 324\n(E) 8% LOSS

Answer: (A)


Question: A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (D)


Question: How much more would Rs.50000 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) 1205\n(C) 992\n(D) 837\n(E) 923

Answer: (B)


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) 17 sec\n(B) 21 sec\n(C) 25 sec\n(D) 27 sec\n(E) 29 sec

Answer: (D)


Question: Find the odd man out.10, 25, 45, 50, 66, 70, 80\nOptions:\n(A) 45\n(B) 50\n(C) 66\n(D) 70\n(E) 80

Answer: (C)

Each of the numbers except 66 is multiple of 5.


Question: In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:\nOptions:\n(A) 72\n(B) 76\n(C) 100\n(D) 113\n(E) 112

Answer: (D)

Diver = (5*3)+3 = 18\n3* Quotient = 18\nQuotient = 6\nDividend = (Divisor * Quotient) + Remainder\nDividend = (18* 6) + 5 = 113


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 9 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: 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 1/7%\n(C) 3 9/3%\n(D) 3 5/3%\n(E) 3 3/3%

Answer: (A)


Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\nOptions:\n(A) 21 ½ days\n(B) 22 ½ days\n(C) 23 ½ days\n(D) 12 ½ days\n(E) none of these

Answer: (B)


Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\nOptions:\n(A) 3387\n(B) 277\n(C) 223\n(D) 992\n(E) 213

Answer: (D)


Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 7 kmph\n(B) 5 kmph\n(C) 3 kmph\n(D) 8 kmph\n(E) 2 kmph

Answer: (D)

Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph


Question: The average of 7 consecutive numbers is 33. The highest of these numbers is:\nOptions:\n(A) 28\n(B) 30\n(C) 33\n(D) 36\n(E) 28

Answer: (D)

The average of 7 consecutive numbers will be the 4th number which is given to be = 33 5th number = 34, 6th number = 35, 7th number = 36


Question: Find the average of the first 41 natural numbers?\nOptions:\n(A) 8\n(B) 9\n(C) 10\n(D) 11\n(E) 21

Answer: (E)

Average of the first 'n' natural numbers = (n + 1)/2\nWe get (41 + 1)/2 = 21


Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\nOptions:\n(A) 22\n(B) 27\n(C) 48\n(D) 99\n(E) 23

Answer: (C)


Question: The average of first four prime numbers greater than 20 is?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (C)


Question: Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?\nOptions:\n(A) 27\n(B) 16\n(C) 38\n(D) 61\n(E) 83

Answer: (A)

Using the elimination method the option that fits this description is 27\n7-2 = 5 (unit's digit that exceeds its ten's digit by 3)\n27*9 = 243 (the product of the given number and the sum of its digits is equal to 175)


Question: Which is equal to 11?\nOptions:\n(A) 1.1\n(B) -11\n(C) 11/11\n(D) 11/1\n(E) 1/11

Answer: (D)


Question: What is the least number should be added to 1056, so the sum of the number is completely divisible by 29?\nOptions:\n(A) 17\n(B) 27\n(C) 37\n(D) 47\n(E) 57

Answer: (A)

(1056 / 29) gives remainder 12\n17 + 12 = 29, So we need to add 17


Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 56%\n(C) 57%\n(D) 70%\n(E) 72%

Answer: (C)


Question: How long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?\nOptions:\n(A) 15\n(B) 17\n(C) 15\n(D) 16\n(E) 18

Answer: (E)


Question: Bob wants a bunch of bananas and insists that the bunch contains a prime number of bananas. The bunches contain the following number of bananas. Which bunch should Bob buy?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 8\n(E) 9

Answer: (B)


Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\nOptions:\n(A) 222\n(B) 300\n(C) 99\n(D) 88\n(E) 67

Answer: (C)


Question: Which of the following numbers is divisible by 12?\nOptions:\n(A) 1332\n(B) 1021\n(C) 3221\n(D) 4211\n(E) 3233

Answer: (A)

1332. This is the only option with last two digits divisible by 12


Question: If X is the sum of first 30 positive even integers and Y is the sum of first 30 positive odd integers, what is the value of x-y?\nPlease try to explain your answers\nOptions:\n(A) 10\n(B) 25\n(C) 30\n(D) 75\n(E) 100

Answer: (C)

First even minus first odd = 2-1 = 1;\nThe sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;\nThe sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;\nWe can see the patterns here, so the sum of first 30 positive even integers minus the sum of first 30 positive odd integers will be 30.


Question: A car finishes a journey in ten hours at the speed of 60 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?\nOptions:\n(A) 8 km/hr\n(B) 10 km/hr\n(C) 12 km/hr\n(D) 16 km/hr\n(E) None of these

Answer: (D)

Distance covered by the car = 64 × 10 = 640 km\n\ Speed = 640⁄8 = 80 km/hr\n\ Speed gain = 80– 64 = 16 km/hr


Question: Which of the following is equal to (x-1)!/(x-2)!?\nOptions:\n(A) x-1\n(B) 1+(1/x) \n(C) 1\n(D) x+1\n(E) x-1

Answer: (E)


Question: X can finish a work in 25 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 2\n(B) 5\n(C) 6\n(D) 7\n(E) 8

Answer: (E)

Work done by X in 1 day = 1/25\nWork done by Y in 1 day = 1/20\nWork done by Y in 12 days = 12/20 = 3/5\nRemaining work = 1 – 3/5 = 2/5\nNumber of days in which X can finish the remaining work = (2/5) / (1/20) = 8


Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 600 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 438\n(B) 446\n(C) 452\n(D) 462\n(E) 470

Answer: (A)

Number of newborns that can die in first month = 1/10 *600 = 60\nSurvived = 540\nNumber of newborns that can die in second month = 1/10 * 540 = 54\nSurvived = 486\nNumber of newborns that can die in third month = 1/10 * 486 = 48\nSurvived = 438


Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A)  4/11\n(B)  1/2\n(C)  15/22\n(D)  10/1\n(E)  11/4

Answer: (D)

P1 takes 12 hrs\nRate for P2P3 together = 1/20 + 1/20 = 1/10\nTherefore they take 10\nRatio = 10/1 =


Question: An design manager has 10patterns of chairs & 5patterns of tables. In how many ways can he make a pair of table & chair?\nOptions:\n(A) 20\n(B) 40\n(C) 50\n(D) 90\n(E) 100

Answer: (C)

He has has ten patterns of chairs and eight patterns of tables\nHence, A chair can be arranged in 10 ways and\nA table can be arranged in 5 ways\nHence one chair and one table can be arranged in 10 x 5 ways = 50 ways


Question: In how many ways can you seat 5 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) 48\n(D) 5040\n(E) 10080

Answer: (C)

Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.


Question: Which of the following is equal to (x+1)!/x!?\nOptions:\n(A) x-1\n(B) 1+(1/x) \n(C) 1\n(D) x+1\n(E) x

Answer: (D)


Question: A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?\nOptions:\n(A) 2 1⁄4 min\n(B) 3 min\n(C) 4 1⁄4 min\n(D) 4 1⁄2 min\n(E) None of these

Answer: (A)


Question: A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 16\n(C) 70\n(D) 13\n(E) 12

Answer: (C)


Question: What is the are of an equilateral triangle of side 10 cm?\nOptions:\n(A) 66âˆš3 cm2\n(B) 25âˆš3 cm2\n(C) 64âˆš3 cm2\n(D) 64âˆš5 cm2\n(E) 14âˆš3 cm2

Answer: (B)

Area of an equilateral triangle = âˆš3/4 S2\nIf S = 10, Area of triangle = âˆš3/4 * 10 * 10 = 25âˆš3 cm2;


Question: The average of 11 results is 40, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?\nOptions:\n(A) 165\n(B) 166\n(C) 167\n(D) 168\n(E) 169

Answer: (E)


Question: A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?\nOptions:\n(A) 28\n(B) 43\n(C) 36\n(D) 19\n(E) 37

Answer: (C)

Initial mileage/weight ratio = 38/180 = 190/900\nRevised mileage/weight ratio = 43/150 = 258/900


Question: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\nOptions:\n(A) 35\n(B) 45\n(C) 50\n(D) 55\n(E) 60

Answer: (A)

8C4 [Select any four] - 7C4 [Select all hard backs] = 35.


Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?\nOptions:\n(A) Sunday\n(B) Friday\n(C) Saturday\n(D) Monday\n(E) Tuesday

Answer: (A)

Given that 8th Feb, 2005 was Tuesday\nNumber of days from 8th Feb, 2004 to 7th Feb, 2005 = 366 (Since Feb 2004 has 29 days as it is a leap year)\n366 days = 2 odd days\nHence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday


Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 6/15 Find P(B|A)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3\n(D) 4/5\n(E) 4/7

Answer: (C)


Question: In how many ways can you seat 6 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) 360\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080

Answer: (A)

Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 3 chairs to sit. The remaining 5 people can sit in 5! ways. Thus the # of arrangements is 3*5! = 360.


Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?\nOptions:\n(A) 660 m\n(B) 650 m\n(C) 570 m\n(D) 670 m\n(E) 680 m

Answer: (D)

Distance covered by Amar = (18/48)*1800 = 670 m


Question: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.\nWhat is the expected amount of time it will take for the rat to finish the maze?\nOptions:\n(A) 5min\n(B) 6min\n(C) 7min\n(D) 8min\n(E) 9min

Answer: (E)

Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes.


Question: Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Five other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/12\n(B) q/5\n(C) q/10\n(D) q/7\n(E) q/8

Answer: (C)

Profit = q\nProfit to company founder = q/2\nProfit to other partners = q/2\nNumber of other partners = 5\nProfit to each partner = (q/2)/5 = q/10


Question: A boy runs 200 metres in 36 seconds. What is his speed ?\nOptions:\n(A) 20 km/hr\n(B) 24 km/hr\n(C) 30 km/hr\n(D) 32 km/hr\n(E) 34 km/hr

Answer: (A)


Question: There are 3 teams each with 7 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 147\n(D) 28\n(E) 45

Answer: (C)

There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 49 possibilities (7*7) since each team has 7 players. So there are a total of 147 possibilities (49*3). I hope this method is easier for you to understand.


Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\nOptions:\n(A) 60%\n(B) 50%\n(C) 25%\n(D) 17%\n(E) 10%

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}\n100 = 25 + 52 - {both} + 40\n{both} = 17%.


Question: The purchase price of an article is $48. In order to include 15% 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: (D)

Cost price of article = 48$\n% of overhead cost = 15\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 15 = 40%


Question: Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?\nOptions:\n(A) 30\n(B) 32\n(C) 34\n(D) 36\n(E) 38

Answer: (B)

First we have to arrange A, there is 1 method for it, for second person B, there are 2 methods one left and one right, for third 2 methods are there same as for B similarly for others, so total number of methods = 1*2*2*2*2*2 = 32


Question: An equity analyst needs to select 3 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 7, in how many ways can she choose and rank her top 3 picks?\nOptions:\n(A) 21\n(B) 35\n(C) 210\n(D) 420\n(E) 840

Answer: (C)

Number of ways of choosing 3 stocks = 7C3\nNumber of ways of ranking the chosen stocks = 3!\nHence total ways of choosing and ranking = 7C3 * 3! = 7!/4! = 7*6*5 = 210


Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 25% less than the number there from 10 a.m. to 11 a.m. If 75 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (D)

No of people from 10 - 11 is x\nNo of people from 11 - 12 is 3x/4\nNo of people from 12 to 1 is (3/2)(3x/4)\nGiven that 3x/4 + (3/2)(3x/4) = (3x/4)(5/2) = 75\nThen x = 40


Question: Find the arithmetic mean A of all roots of the following equation- see an attachment.\nOptions:\n(A) 2\n(B) 1\n(C) 0.5\n(D) -1/3\n(E) 0.3

Answer: (C)

Arithmetic mean A your answer C and E are same, can you correct one of them please. thanks.


Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes?\nOptions:\n(A) 1/11\n(B) 2/11\n(C) 3/11\n(D) 4/11\n(E) 5/11

Answer: (C)

Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by B in 3 minutes = 3/20\nRequired ratio = 3/20 * 20/11 = 3/11


Question: Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?\nOptions:\n(A) 15\n(B) 14\n(C) 17\n(D) 18\n(E) 19

Answer: (A)

In this alternating repetition series, the random number 21 is interpolated every other number into an otherwise simple addition series that increases by 2, beginning with the number 9.


Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 25, and 30 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A)  4/11\n(B)  1/2\n(C)  15/22\n(D)  150/11\n(E)  11/4

Answer: (D)

P1 takes 12 hrs\nRate for P2P3 together = 1/25 + 1/30 = 11/150\nTherefore they take 150/11\nRatio = 150/11 =


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) 7 1/7 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/9 sec

Answer: (D)


Question: A train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 42\n(C) 54\n(D) 66\n(E) 09

Answer: (B)


Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?\nOptions:\n(A) 1/5\n(B) 1/10\n(C) 1/12\n(D) 1/16\n(E) 1/32

Answer: (D)


Question: The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\nOptions:\n(A) 124 m2\n(B) 128 m2\n(C) 138 m2\n(D) 148 m2\n(E) None of these

Answer: (D)

Area of the outer rectangle = 25 Ã— 16 = 400 m2\nArea of the inner rectangle = 21 Ã— 12 = 252 m2\nRequired area = (400 â€“ 252) = 148 m2


Question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 229\n(B) 144\n(C) 278\n(D) 126\n(E) 112

Answer: (B)


Question: What is the difference between 80% of 170 and 35% of 300.\nOptions:\n(A) 30\n(B) 29\n(C) 37\n(D) 36\n(E) 31

Answer: (E)


Question: If 4 men can color 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: There are 3 teams each with 6 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\nOptions:\n(A) 50\n(B) 23\n(C) 108\n(D) 28\n(E) 45

Answer: (C)

There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 36 possibilities (6*6) since each team has 6 players. So there are a total of 108 possibilities (36*3). I hope this method is easier for you to understand.


Question: An archer is shooting arrows from various distances. She shoots at a target from 50 yards, 60 yards, and 70 yards. The probability that she hits within the bullseye from 50 yards is 3/4, the probability that she hits within the bullseye from 60 yards is 2/3, and the probability that she hits within the bullseye from 70 yards is 3/5. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 9/10\n(B) 14/15\n(C) 19/20\n(D) 29/30\n(E) 39/40

Answer: (D)

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 50 yards)*(prob that she misses from 60 yards)*(prob that she misses from 70 yards)\nProb that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5\nThus the probability that she misses all shots = (1/4)*(1/3)*(2/5) = 1/30\nThus the probability that she makes at least one shot = 1 - (1/30) = 29/30


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 3 days?\nOptions:\n(A) 1/5\n(B) 1/1\n(C) 1/6\n(D) 1/3\n(E) 1/7

Answer: (C)

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 3 days = 3 (1/18) = 1/6.


Question: A man walks at a speed of 2 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) 4 5/2 hours.\n(B) 2 5/2 hours.\n(C) 3 5/2 hours.\n(D) 5 5/2 hours.\n(E) 8 5/2 hours.

Answer: (C)


Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is\nOptions:\n(A) 10/17\n(B) 10/19\n(C) 46/105\n(D) 11/15\n(E) Cannot be determined

Answer: (E)

There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined.


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) 11\n(B) 12\n(C) 99\n(D) 75\n(E) 72

Answer: (B)


Question: During a sale, the price of a pair of shoes is marked down 13% 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: (D)

Assume the price = 100\nPrice during sale = 87\nPrice after sale = 100\nPercent increase = 13/87*100 = 15% approx.


Question: How many 5 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) 21\n(B) 42\n(C) 120\n(D) 600\n(E) 720

Answer: (C)

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 Fifth letter\nSecond letter can be filled in 5 Ways\nThird letter can be filled in 4 Ways\nFourth letter can be filled in 3 Ways\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 3 ways x 1 ways = 120


Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\nOptions:\n(A) 17 1/4 min\n(B) 28 1/7 min\n(C) 17 1/7 min\n(D) 17 1/8 min\n(E) 15 15/19 min

Answer: (E)


Question: In a locality, the prevailing price of a 700 square feet property last year was US Dollar 1000. The owner made some additions and the 900 square feet property is now fetching a price of US Dollar 1500. By approximately what percent did the ratio of price to size increase from the previous year's price?\nOptions:\n(A) 12\n(B) 14\n(C) 17\n(D) 21\n(E) 19

Answer: (C)

Initial price/area ratio = 1000/700 = 9000/6300\nRevised mileage/weight ratio = 1500/900 = 10500/6300


Question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?\nOptions:\n(A) 9 3/6\n(B) 9 3/4\n(C) 9 3/8\n(D) 5 3/2\n(E) 9 3/2

Answer: (C)


Question: A card shop contains 5 birthday cards, 4 holiday cards, and 3 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be graduation cards?\nOptions:\n(A) 1/33\n(B) 6/264\n(C) 1/44\n(D) 1/264\n(E) 1/1320

Answer: (D)

It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 3/12\nProbability of choosing 2nd card of the same type: 2/11\nProbability of choosing 3rd card of the same type: 1/10\nMultiply and you get 1/264


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?\nA.\nB.\nC.\nD.\nE.\nOptions:\n(A) 8\n(B) 13\n(C) 16\n(D) 24\n(E) 27

Answer: (B)

Each group has 8 = 8+8+8 = 24 max\n4 people are in 2 groups, subtract 4 people twice as they are counted twice\nEach pair of groups has 5 in common, so in addition to the 4 people subtract 1 from each group\nAns: 8+8+8-(2(4)) - 3 = 13


Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\nOptions:\n(A) Rs 420\n(B) Rs 550\n(C) Rs 490\n(D) Rs 450\n(E) Rs 457

Answer: (D)


Question: Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men?\nOptions:\n(A) 5 days\n(B) 6 days\n(C) 9 days\n(D) 10 days\n(E) None of these

Answer: (E)

7 x 12 men complete the work in 1 day\nTherefore, 1 man’s 1 day’s work = 1/84\n7 men’s 5 days work = 5/12\nRemaining work = 1- 5/12 = 7/12\n5 men’s 1 day’s work = 5/84\n5/84 work is don by them in 1 day\n7/12 work is done by them in ((84/5) x (7/12)) = 49/5 days = 9 4/5 days


Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\nOptions:\n(A) 22\n(B) 77\n(C) 26\n(D) 41\n(E) 66

Answer: (D)

(1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48\nRemaining work = (1 - 7/48) = 41/48\nWork done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48\nNumber of boys required = 41/48 * 41 = 41.


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?\nOptions:\n(A) 1/8\n(B) 1/4\n(C) 1/5\n(D) 1/9\n(E) 1/1

Answer: (C)

10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\nRequired probability = 1/5


Question: What is the maximum number of pieces of birthday cake of size 10” by 10” that can be cut from a cake 20” by 20”?\nOptions:\n(A) 4\n(B) 10\n(C) 16\n(D) 20\n(E) 25

Answer: (A)

The prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20square. Since each 'row' and each 'column' of the larger square can be sub-divided into 2 'pieces' each, we have (2)(2) = 4 total smaller squares (at maximum).


Question: In what time a sum of money double itself at 3% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 83 1/3%\n(D) 33 4/3%\n(E) 73 1/3%

Answer: (B)


Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:\nOptions:\n(A) 10\n(B) 12\n(C) 30\n(D) 40\n(E) 20

Answer: (E)


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) 189/13 days\n(B) 188/13 days\n(C) 180/13 days\n(D) 180/17 days\n(E) 280/13 days

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: 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) 1 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 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: 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) 229\n(B) 108\n(C) 278\n(D) 126\n(E) 112

Answer: (B)


Question: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 4 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other three children on either side of him, how many seating arrangements are possible?\nOptions:\n(A)  3\n(B)  4\n(C)  6\n(D)  24\n(E)  10

Answer: (D)

Mother has a fixed place and father, so there are 4! ways to arrange the children, hence


Question: The length of a rectangle is increased by 15% 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) 9200

Answer: (E)


Question: There are five same model cars parked in the same direction in parking. If 3 cars are red, 1 is black and 1 is green, in how many ways they can be arranged in the parking?\nOptions:\n(A) 10 ways.\n(B) 20 ways.\n(C) 30 ways.\n(D) 40 ways.\n(E) 50 ways.

Answer: (B)


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) 277\n(C) 299\n(D) 662\n(E) 181

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: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?\nOptions:\n(A) 6/15\n(B) 6/11\n(C) 6/14\n(D) 6/12\n(E) 6/13

Answer: (B)

Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by C in 3 minutes = 3/10\nRequired ratio = 3/10 * 20/11 = 6/11


Question: Which of the following is equal to the average (arithmetic mean) of (x+3)^2 and (x-3)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2 +4\n(D) x^2+9\n(E) x^2+4x

Answer: (D)


Question: In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 5 sec\n(B) 4 sec\n(C) 3 sec\n(D) 6 sec\n(E) 2 sec

Answer: (E)


Question: At what rate percent on simple interest will a sum of money double itself in 70 years?\nOptions:\n(A) 1 3/7%\n(B) 3 1/9%\n(C) 3 9/3%\n(D) 3 2/3%\n(E) 3 6/3%

Answer: (A)


Question: Marry has 3 trousers in cupboard. 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 cupboardin the dark and pick out one shirt trouser 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) 3/5\n(D) 5/7\n(E) 5/8

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: The number N is 5,2H4, 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: (D)

If the number is divisible by 9, it must also be divisible by 3. Only 7 yields such a number.


Question: A 70 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) 20\n(B) 99\n(C) 88\n(D) 77\n(E) 66

Answer: (B)


Question: If the cost price of 50 articles is equal to the selling price of 35 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 43

Answer: (E)

Percentage of profit = 15/35 * 100 = 43%


Question: In what time a sum of money double itself at 7% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 14 2/7%\n(D) 33 4/3%\n(E) 73 1/3%

Answer: (C)


Question: Find the odd man out\n253, 136, 352, 324, 631, 244\nOptions:\n(A) 324\n(B) 136\n(C) 352\n(D) 631\n(E) 531

Answer: (A)

The sum all three digits comes to 10 except 324


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 sec\n(B) 4 sec\n(C) 5 sec\n(D) 6 sec\n(E) 7 sec

Answer: (B)


Question: There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had 24. Find the cars each originally had.\nOptions:\n(A) Sudhir had 34 cars, Arvind had 21 cars and Gauri had 12 cars.\n(B) Sudhir had 38 cars, Arvind had 21 cars and Gauri had 12 cars.\n(C) Sudhir had 39 cars, Arvind had 21 cars and Gauri had 12 cars.\n(D) Sudhir had 32cars, Arvind had 21 cars and Gauri had 12 cars.\n(E) Sudhir had 36 cars, Arvind had 21 cars and Gauri had 12 cars.

Answer: (C)

Sudhir Arvind Gauri\nFinally 24 24 24\nBefore Gauri’s transaction 12 12 48\nBefore Arvind’s transaction 6 42 24\nBefore Sudhir’ s transaction 39 21 12


Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/6 %\n(B) 22 8/2 %\n(C) 25 1/2 %\n(D) 22 1/2 %\n(E) 22 5/2 %

Answer: (D)


Question: In a recent survey 40% houses contained two or more people. Of those houses containing only one person 25% were having only a male. What is the percentage of all houses which contain exactly one female and no males?\nOptions:\n(A) 75\n(B) 40\n(C) 15\n(D) Cannot be determined\n(E) None of these

Answer: (E)

Houses containing only one person = 100 – 40 = 60%\nHouses containing only a male = 60 × 25⁄100 = 15%\n∴ Houses containing only one female = 60 – 15 = 45%