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 P in the liquid in the tank after 3 minutes?\nOptions:\n(A) 3/11\n(B) 2/11\n(C) 1/11\n(D) 4/11\n(E) 1/11

Answer: (B)

Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\nPart filled by A in 3 minutes = 3/30\nRequired ratio = 3/30 * 20/11 = 2/11


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\nOptions:\n(A) 29893\n(B) 27773\n(C) 29989\n(D) 28800\n(E) 29883

Answer: (D)


Question: A shipment of 8 TV sets contains 1 black and white sets and 7 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\nOptions:\n(A) 1/7\n(B) 1/4\n(C) 5/14\n(D) 11/28\n(E) 13/28

Answer: (B)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 6434\n(B) 4673\n(C) 7684\n(D) 7658\n(E) 5184

Answer: (E)


Question: If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =\nOptions:\n(A)  40320\n(B)  27720\n(C)  20160\n(D)  6720\n(E)  2520

Answer: (E)


Question: A 21 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) 12\n(B) 6\n(C) 88\n(D) 77\n(E) 14

Answer: (B)


Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?\nOptions:\n(A) 19 1/7 days\n(B) 16 1/7 days\n(C) 14 1/7 days\n(D) 17 1/7 days\n(E) 13 1/7 days

Answer: (D)


Question: 1500 is increased by 20%. Find the final number.\nOptions:\n(A) 1500\n(B) 1800.\n(C) 1900\n(D) 1700\n(E) 1660

Answer: (B)

Final number = Initial number + 20%(original number) = 1500 + 20%(1500) = 1500 + 300 = 1800.


Question: A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?\nOptions:\n(A) Black\n(B) White\n(C) Red\n(D) Blue\n(E) None

Answer: (B)

This question is based on bear on poles so it should be polo bear and the color of polo bear is white.


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

Answer: (A)


Question: A train running at the speed of 60 km/hr crosses a pole in 21 seconds. Find the length of the train.\nOptions:\n(A) 350 m\n(B) 145 m\n(C) 240 m\n(D) 135 m\n(E) 255 m

Answer: (A)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 15 = 350 meter


Question: X can finish a work in 20 days. Y can finish the same work in 16 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) 3\n(C) 9\n(D) 5\n(E) 8

Answer: (D)

Work done by X in 1 day = 1/20\nWork done by Y in 1 day = 1/16\nWork done by Y in 12 days = 12/16 = 3/4\nRemaining work = 1 – 3/4 = 1/4\nNumber of days in which X can finish the remaining work = (1/4) / (1/20) = 5


Question: If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?\nOptions:\n(A) Sunday\n(B) Wednesday\n(C) Friday\n(D) Monday\n(E) Tuesday

Answer: (B)

There are 2 odd days in the year 2004\nSo, the day on 21th January 2005 will be two days beyond the day on 21th January 2004\nOn 21th January 2004, it was Wednesday


Question: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 4567\n(B) 3588\n(C) 9944\n(D) 5465\n(E) 6784

Answer: (C)

Largest 4 digit number is 9999\nAfter doing 9999 ÷ 88 we get remainder 55\nHence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944


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

Answer: (A)

9 people can be prized with 5 distinct prizes in 9^5 ways


Question: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 3 kmph\n(E) 4 kmph

Answer: (C)

Speed upstream = 49/7 = 7 kmph\nSpeed down stream = 77/7 = 11kmph\nSpeed of stream = ½ (11-7) = 2 kmph


Question: The speed of a boat in still water is 90kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) 40, 68 kmph\n(B) 110, 70 kmph\n(C) 90, 60 kmph\n(D) 40, 60 kmph\n(E) 20, 60 kmph

Answer: (B)

Speed downstream = 90 + 20 = 110 kmph\nSpeed upstream = 90 - 20 = 70 kmph


Question: Which of the following numbers is divisible by 11?\nOptions:\n(A) 4424\n(B) 2232\n(C) 1522\n(D) 8524\n(E) 9515

Answer: (E)

9515. This is the only option with last two digits divisible by 11


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 consonant, and repetition is allowed?\nOptions:\n(A) 3441\n(B) 3433\n(C) 3333\n(D) 3430\n(E) 3773

Answer: (D)

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 5 Ways ( As the question states that the last letter has to be a consonant)\nSecond letter can be filled in 7 Ways\nThird letter can be filled in 7 Ways\nFourth letter can be filled in 7 Ways\nSo, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430


Question: A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40\n(B) 32\n(C) 26\n(D) 21\n(E) 14

Answer: (B)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 260 + 140 = 400 m\nRequired time = 400 * 2/25 = 32 sec


Question: If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.68 per litre then what is the rate of mixed oil per litre?\nOptions:\n(A) Rs.49.17\n(B) Rs.51.03\n(C) Rs.56\n(D) Rs.55.33\n(E) None of the above

Answer: (C)


Question: Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?\nOptions:\n(A) 85\n(B) 97\n(C) 109\n(D) 178\n(E) 112

Answer: (D)

Answer: Option D\nThis is an alternating division and addition series: First, divide by 2, and then add 8.


Question: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 300. How much did he have with him in the beginning?\nOptions:\n(A) s 200\n(B) s 750\n(C) s 300\n(D) s 450\n(E) s 550

Answer: (B)

Suppose the amount in the beginning was Rs ’x’\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\nBalance = 2x/3 - 2x/15 = Rs 8x/15\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\nTherefore 2x/5 = 300 = 750


Question: The edge of a cube is 3a cm. Find its surface?\nOptions:\n(A) 64a2 cm2\n(B) 54a2 cm2\n(C) 84a2 cm2\n(D) 24a2 cm2\n(E) 34a2 cm2

Answer: (B)


Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.\nOptions:\n(A) 62/63\n(B) 125/126\n(C) 1/63\n(D) 1/42\n(E) 1/126

Answer: (E)

Answer: Option E\nOut of nine, five are good and four are defective. Required probability = â´câ‚„/â¹câ‚„ = 1/126


Question: X can finish a work in 36 days. Y can finish the same work in 24 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) 12\n(B) 13\n(C) 16\n(D) 17\n(E) 18

Answer: (E)

Work done by X in 1 day = 1/36\nWork done by Y in 1 day = 1/24\nWork done by Y in 12 days = 12/24 = 1/2\nRemaining work = 1 – 1/2 = 1/2\nNumber of days in which X can finish the remaining work = (1/2) / (1/36) = 18


Question: Express 35 mps in kmph?\nOptions:\n(A) 122\n(B) 188\n(C) 126\n(D) 140\n(E) 124

Answer: (C)


Question: A shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. What is his profit percentage?\nOptions:\n(A) 25%\n(B) 18%\n(C) 20%\n(D) 40%\n(E) 45%

Answer: (A)


Question: The purchase price of an article is $48. In order to include 20% 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: (E)

Cost price of article = 48$\n% of overhead cost = 20\nNet profit = 12 $\nWe need to calculate % markup\nNet profit as % of cost price = (12/48)*100 = 25%\nTotal markup should be = 25 + 20 = 45%


Question: A class consists of 100 students, 30 of them are girls and 70 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\nOptions:\n(A) 3/125\n(B) 1/59\n(C) 1/56\n(D) 1/54\n(E) 1/53

Answer: (A)

The probability of selecting girl is: 30/100 = 3/10\nThe probability of selecting rich is: 20/100 = 1/5\nThe probability of selecting fair complexioned is: 40/100 = 2/5\nThree are independent;probability of rich and fair complexioned girl is:\n(3/10) Ã—(1/5) Ã— (2/5) = 3/125


Question: The compound ratio of 2/5, 6/7, 1/3 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/70\n(C) 1/98\n(D) 1/96\n(E) 1/68

Answer: (B)


Question: The length W of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\nOptions:\n(A) Decreases by 19%\n(B) Decreases by 25%\n(C) Increases by 6%\n(D) Increases by 19%\n(E) Increases by 25%

Answer: (D)

Let the length W of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence


Question: There are 15 balls in a jar. You take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/3. How many blue balls were there in the beginning?\nOptions:\n(A) 12.\n(B) 9.\n(C) 8.\n(D) 7.\n(E) 6.

Answer: (D)


Question: At a supermarket, a variety of cookies was priced at 75 cents per 100 grams. Subsequently, the price was revised to 40 cents for 30 grams of the same cookies. By approximately what percent did the ratio of price to weight increase from the initial price of 75 cents per pound?\nOptions:\n(A) 65\n(B) 78\n(C) 44\n(D) 18\n(E) 36

Answer: (B)

Initial price/weight ratio = 75 / 100 = 225/300\nRevised price/weight ratio = 40 / 30 = 400/300


Question: A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?\nOptions:\n(A) 13\n(B) 25\n(C) 17\n(D) 12\n(E) 11

Answer: (E)

11 cartons total\n7 large boxes (7 * 8 = 56 boxes)\n4 small boxes (4 *10 = 40 boxes\n11 total cartons and 96 boxes


Question: Anish borrowed 15000 at the rate of 12% and an other amount at the rate of 15% for two years. The total interest paid by him was 9000. How much did he borrow?\nOptions:\n(A) 32,000\n(B) 33,000\n(C) 30,000\n(D) 35,000\n(E) None of these

Answer: (B)

Let x be the other amount\n\ 3x⁄10 + 3600 = 900 ⇒ x = 18000\n\ total borrowed sum = 33000


Question: Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?\nOptions:\n(A) 6\n(B) 7\n(C) 9\n(D) 10\n(E) 13

Answer: (E)

This is a simple alternating subtraction and addition series; The first series begins with 3 and adds 5; the second begins with 9 and subtracts 2, and so on.


Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?\nOptions:\n(A) 20 Kmph\n(B) 15 Kmph\n(C) 30 Kmph\n(D) 32 Kmph\n(E) 34 Kmph

Answer: (B)

Total distance = 8 Km\nTotal time = 50 Km\nTime taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours\nRemaining distance = 8 - 3 = 5 Km\nRequired speed = 5/1/3 = 15 Kmph


Question: In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?\nOptions:\n(A) 3:16.\n(B) 2:3.\n(C) 1:3.\n(D) 3:4.\n(E) 2:5

Answer: (C)

Amount for Store a = 10 * 4 = 40\nAmount for Store b = 40 * 3 = 120\nRatio of Total Amount Would be = 40/120 = 1:3


Question: A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is\nOptions:\n(A) 124 Kms\n(B) 134 Kms\n(C) 144 Kms\n(D) 244 Kms\n(E) None of the above

Answer: (C)

(1-(3/4))(1-(2/3)of distance = 12 km\n(1/12) of distance = 12 km\nHence distance = 144 km


Question: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\nOptions:\n(A) 6hours\n(B) 3hours\n(C) 2hours\n(D) 5hours\n(E) 4hours

Answer: (B)

A's 1 hour work = 1/3;\n(B + C)'s 1 hour work = 1/2;\n(A + C)'s 1 hour work = 1/2\n(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6\nB's 1 hour work = (5/6 - 1/2) = 1/3\nB alone will take 3 hours to do the work.


Question: There are 10 female and 15 male in a work place. In how many ways can a person can be selected?\nOptions:\n(A) 20\n(B) 15\n(C) 18\n(D) 40\n(E) 25

Answer: (E)


Question: A man pointing to a photo says "The lady in the photograph is my nephew’s maternal grandmother". How is the lady in the photograph related to the man’s sister who has no other sister ?\nOptions:\n(A) Cousin\n(B) Sister-in-law\n(C) Mother\n(D) Mother-in-law\n(E) None of these

Answer: (C)

Since the man is referring to his nephew, the nephew’s parent has to be a sibling to the man. Now the last part says that the man’s sister has no other sister and hence the brother-sister relationship is established between the man and his nephew’s mother. Now the lady in the picture is the grandmother of the nephew and hence she is the mother of the man’s sister.


Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\nLook at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?\nOptions:\n(A) 2\n(B) 4\n(C) 12\n(D) 0\n(E) 13

Answer: (E)

E\n13\nThis is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next.


Question: A train of 25 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 14 sec\n(B) 2 mins 34 sec\n(C) 180 sec\n(D) 4 mins 54 sec\n(E) 2 mins 44 sec

Answer: (C)


Question: If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in\nOptions:\n(A) 3days\n(B) 2days\n(C) 5days\n(D) 6days\n(E) 1day

Answer: (B)

The length of wall painted by one man in one day = 60 / 4 Ã— 3 = 5 m\nNo. of days required to paint 50 m wall by 5 men = 50/ 5 Ã— 5 = 2 day.


Question: A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 36 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 36\n(C) 70\n(D) 13\n(E) 12

Answer: (B)


Question: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 108\n(C) 1266\n(D) 188\n(E) 80

Answer: (E)


Question: How much 60% of 50 is greater than 40% of 30?\nOptions:\n(A) 18\n(B) 91\n(C) 11\n(D) 17\n(E) 12

Answer: (A)


Question: 80 370 860 1550 ? 3530\nOptions:\n(A) 900\n(B) 2440\n(C) 750\n(D) 244\n(E) 960

Answer: (B)


Question: If the personal income tax rate is lowered from 46% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36000?\nOptions:\n(A) $3500\n(B) $5040\n(C) $3150\n(D) $7000\n(E) $10000

Answer: (B)


Question: A and B can do a work in 5 days, B and C in 15 days and C and A in 25 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 26/18\n(B) 42/15\n(C) 48/63\n(D) 12/36\n(E) 150/23

Answer: (E)

One day work of A and B = 1/5\nOne day work of B and C = 1/15\nOne day work of C and A = 1/25\n2(A + B + C) = 1/5+ 1/15 + 1/25\n2(A + B + C) = 23/75\n(A + B + C) = 23/150\nNumber of days required = 150/23 days.


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) 11 sec\n(C) 88 sec\n(D) 19 sec\n(E) 44 sec

Answer: (E)

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


Question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 140 sec\n(B) 160 sec\n(C) 176 sec\n(D) 150 sec\n(E) 170 sec

Answer: (A)


Question: Find the simple interest on Rs.620 for 10 months at 10 paisa per month?\nOptions:\n(A) 277\n(B) 620\n(C) 640\n(D) 678\n(E) 121

Answer: (B)


Question: A train 175 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 sec\n(C) 17 sec\n(D) 88 sec\n(E) 10 sec

Answer: (E)


Question: Which of the following is a prime number ?\nOptions:\n(A) 90\n(B) 94\n(C) 96\n(D) 97\n(E) 98

Answer: (D)


Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?\nOptions:\n(A) 10 Kmph\n(B) 15 Kmph\n(C) 25 Kmph\n(D) 27 Kmph\n(E) 30 Kmph

Answer: (B)

Total distance = 8 Km\nTotal time = 50 Km\nTime taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours\nRemaining distance = 8 - 3 = 5 Km\nRequired speed = 5/1/3 = 15 Kmph


Question: Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?\nOptions:\n(A) X/8\n(B) X/7\n(C) X/6\n(D) X/5\n(E) X/4

Answer: (B)

Since the total number of skeins is X, then X = Blue + Yellow + Red\nBecause there are twice as many Blue as Yellow, then Blue = 2*Yellow\nThus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red\nBecause there are twice as many Yellow as Red, then Yellow = 2*Red\nThus X = 3*(2*Red) + Red, which simplifies to X = 7*Red\nTherefore Red = X/7


Question: The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages\nOptions:\n(A) 14 years, 30 years\n(B) 12 years, 28 years\n(C) 16 years, 34 years\n(D) 18 years, 38 years\n(E) none of these

Answer: (A)

Let Rahul’s age = x years\nSo, Madhan’s age = ( x + 16 )years\nAlso, 3(x - 6) = x + 16 - 6 or, x = 14\nRahul’s age = 14 years\nAnd, Madhan’s age 14 + 16 = 30 years


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) 29\n(C) 30\n(D) 34\n(E) 35

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: A motorcyclist goes from Bombay to Pune, a distance of 288 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) 2:3\n(E) 1:8

Answer: (D)


Question: What least number must be added to the least number of six digits so that the resulting number may be a perfect square.\nOptions:\n(A) 489\n(B) 267\n(C) 278\n(D) 199\n(E) 111

Answer: (A)

The least number of six digits = 100000 3 10 00 00 317 9 61 100 61 627 3900 4389 – 489 Least number to be added = 489.


Question: Find the wrong number below mentioned series\n3,20,50,60,80\nOptions:\n(A) 80\n(B) 60\n(C) 50\n(D) 20\n(E) 3

Answer: (E)

3 is the only prime number or odd number in the series.


Question: The sale price sarees listed for Rs.400 after successive discount is 20% and 5% is?\nOptions:\n(A) 338\n(B) 277\n(C) 342\n(D) 882\n(E) 304

Answer: (E)


Question: A can do a piece of work in 15 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) 11 6/7days\n(B) 12 6/7days\n(C) 13 6/7days\n(D) 14 6/7days\n(E) 15 6/7days

Answer: (B)


Question: Sarah's grade was 50th percentile of the 20 grades for her class. Of the 30 grades from another class, 10 were higher than Sarah's, and the rest were lower. If no other grade was the same as Sarah's grade, then Sarah's grade was what percentile of the grades of the two classes of two classes combined?\nOptions:\n(A) 52nd\n(B) 56th\n(C) 60th\n(D) 70th\n(E) 82nd

Answer: (C)


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 1/9\n(B) 7 1/8\n(C) 7 1/3\n(D) 7 1/2\n(E) 7 1/1

Answer: (D)


Question: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 sec\n(C) 17 sec\n(D) 18 sec\n(E) 12 sec

Answer: (D)


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 meter\n(B) 166 meter\n(C) 154 meter\n(D) 146 meter\n(E) 141 meter

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: A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 8\n(E) 9

Answer: (A)

Required time = (9)/3 + (9)/9 = 4 hours.


Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 3\n(C) More than 3\n(D) Less than 1/3\n(E) none of these

Answer: (E)

Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5


Question: Find the odd man out 4, 5, 15, 49, 201, 1011, 6073\nOptions:\n(A) 10\n(B) 7\n(C) 5\n(D) 2\n(E) 3

Answer: (C)


Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 65 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) s. 25.6\n(B) s. 145/6\n(C) s. 16.6\n(D) s. 26\n(E) s. 25

Answer: (B)

Total members in the group = 7\nAverage amount = Rs. 30\nTotal amount with them = 7 * 30 = Rs. 210\nOne number has Rs. 50. So, the amount with remaining 6 people = 210 - 65 = Rs. 145\nThe average amount with them = 145/6


Question: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) none of these

Answer: (E)

A number ending in 8 can never be a perfect squar


Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 150 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 90 miles\n(D) 140 miles\n(E) 400 miles

Answer: (D)

Answer = D. 140 miles\nRelational speed = 150 - 100 = 50 miles per hour\nIn 3 hours, difference = 50 * 3 = 150 miles\nFast train trailing 10 miles, so effective difference = 150 - 10 = 140 miles


Question: A man rows his boat 120 km downstream and 92 km upstream, taking 4 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 4 kmph\n(C) 2 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (B)

Speed downstream = d/t = 120/(4) = 30 kmph\nSpeed upstream = d/t = 92/(4) = 23 kmph\nThe speed of the stream = (30 - 23)/2 = 4 kmph


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) 29\n(C) 31\n(D) 34\n(E) 35

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: There are 100 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of manager to 98%?\nOptions:\n(A) 1\n(B) 2\n(C) 50\n(D) 49\n(E) 97

Answer: (C)

We have 99 managers and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 managers must leave.


Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4 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) $120m\n(E) $153m

Answer: (D)


Question: A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination?\nOptions:\n(A) 3 hours\n(B) 4 hours\n(C) 5 hours\n(D) 2 hours\n(E) 6 hours

Answer: (D)


Question: 100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\nOptions:\n(A) 75\n(B) 80\n(C) 85\n(D) 70\n(E) 95

Answer: (D)

Answer = D\nPlease refer diagram below\n80 - 10 = 70


Question: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 6 metre\n(B) 12 metre\n(C) 120 metre\n(D) 1200 metre\n(E) 130 metre

Answer: (C)

Number of times wheel moves in 1 hour = 10 * 60 = 600\n:. Distance moves = (600 *20) cms = 12000 cms\nIn metres = 120 metre


Question: Two persons A and B can complete a piece of work in 40 days and 60 days respectively. If they work together, what part of the work will be completed in 6 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 1/4

Answer: (E)

A's one day's work = 1/40\nB's one day's work = 1/60\n(A + B)'s one day's work = 1/40 + 1/60 = 1/24\nThe part of the work completed in 6 days = 6 (1/24) = 1/4.


Question: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is\nOptions:\n(A) 2 years\n(B) 3years\n(C) 4 years\n(D) 5 years\n(E) 6 years

Answer: (C)


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) 332 1/3%\n(D) 33 9/3%\n(E) 13 1/3%

Answer: (B)


Question: A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?\nOptions:\n(A) 350 m\n(B) 490 m\n(C) 115 m\n(D) 210 m\n(E) 150 m

Answer: (A)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 21 = 350 m


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) 180km\n(B) 190km\n(C) 200km\n(D) 210km\n(E) 216km

Answer: (E)

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: 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 1/5\n(B) 17 1/8\n(C) 17 1/7\n(D) 17 1/1\n(E) 17 1/2

Answer: (C)


Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 22 sec\n(B) 77 sec\n(C) 25 sec\n(D) 18 sec\n(E) 17 sec

Answer: (C)


Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?\nOptions:\n(A) 5/9\n(B) 5/4\n(C) 5/1\n(D) 5/6\n(E) 5/2

Answer: (D)

P(at least one graduate) = 1 - P(no graduates)\n(6 * 5 * 4)/(10 * 9 * 8) = 5/6


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) 1101\n(B) 1141\n(C) 1120\n(D) 1130\n(E) None

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: Find the odd man out\n36, 315, 612, 810, 966, 1362\nOptions:\n(A) 966\n(B) 612\n(C) 315\n(D) 36\n(E) 1362

Answer: (C)

315is divisible by 3 which is odd number where as all others are even numbers divisible by 3.


Question: A train 90 m long running at 56 kmph crosses a platform in 18 sec. What is the length of the platform?\nOptions:\n(A) 190\n(B) 200\n(C) 180\n(D) 881\n(E) 271

Answer: (A)


Question: 137+276=435 how much is 731+672?\nOptions:\n(A) 534\n(B) 1403\n(C) 1623\n(D) 1513\n(E) 1613

Answer: (A)


Question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\nOptions:\n(A) 3/200\n(B) 1/59\n(C) 1/56\n(D) 1/54\n(E) 1/53

Answer: (A)

The probability of selecting girl is: 25/100 = 1/4\nThe probability of selecting rich is: 20/100 = 1/5\nThe probability of selecting fair complexioned is: 30/100 = 3/10\nThree are independent;probability of rich and fair complexioned girl is:\n(1/4) Ã—(1/5) Ã— (3/10) = 3/200


Question: Some persons can do a piece of work in 32 days. Two times the number of these people will do half of that work in?\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 6\n(E) 8

Answer: (E)


Question: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?\nOptions:\n(A) 3/5\n(B) 1/2\n(C) 1/5\n(D) 1/8\n(E) 1/32

Answer: (E)

On the first three flips, you must get heads. Whats the probability of getting heads ? Its 1/2\nSo for the first three flips, your probability is (1/2)^3 = 1/8\nNow for the last two, you want to get tails only. Whats the prob of getting tails ? Well, its the same as prob of getting a heads, namely, 1/2\nFor the last two flips, your probability is (1/2)^2 = 1/4\nSo your overall probability for the event in question is 1/8*1/4 = 1/32


Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a red shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 17\n(B) 37\n(C) 49\n(D) 61\n(E) 72

Answer: (E)

The correct answer should not take the form: 4x + 1. Hence, it is


Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?\nOptions:\n(A) 110\n(B) 120\n(C) 125\n(D) 130\n(E) 140

Answer: (B)

The total number of arrangements is\n5P5 = 5! = 120


Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?\nOptions:\n(A) 200 meters\n(B) 360 meters\n(C) 420 meters\n(D) 600 meters\n(E) Cannot be determined

Answer: (A)

Speed of the train in metres/sec = 72000/3600 = 20\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\nDistance travelled by train to cross the man = 20 * 20 = 400 = Length of train\nLength of platform = 600 - 400 = 200


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

Answer: (B)

If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x)


Question: The average of 11 results is 46, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 21\n(B) 56\n(C) 100\n(D) 25\n(E) 23

Answer: (C)


Question: What approximate value should come in place of question mark (?) in the following equation\n287.532 + 1894.029 – 657.48 = 543.095 + ?\nOptions:\n(A) 870\n(B) 790\n(C) 980\n(D) 770\n(E) 890

Answer: (C)


Question: Find the third proportional to 4 and 16?\nOptions:\n(A) 80\n(B) 12\n(C) 64\n(D) 78\n(E) 72

Answer: (C)

Formula = Third proportional = (b × b)/a\nA = 4 and B = 16\n(16 × 16)/ 4 = 256/4 = 64


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) 12 min\n(B) 6 min\n(C) 4 min\n(D) 8 min\n(E) 10 min

Answer: (A)


Question: The radius of a cone is 4 m, height 5 m. Find the curved surface area?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 7\n(E) 9

Answer: (C)

Cone curved surface area = πrl = 22/7 × 4 × 5 = 440/7 = 62 6/7\nSlant height (l) = √r(power2)+h(power2) = √16+9 = √25 = 5


Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?\nOptions:\n(A) 6 2/3%\n(B) 6 2/8%\n(C) 7 2/3%\n(D) 6 5/3%\n(E) 4 2/3%

Answer: (A)


Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?\nOptions:\n(A) 2 days\n(B) 8 days\n(C) 6 days\n(D) 8 days\n(E) 9 days

Answer: (B)


Question: In an office, 60 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)  96\n(B)  64\n(C)  50\n(D)  144\n(E)  160

Answer: (A)


Question: A girl is organizing her jellybean collection in which each color has its own row. In each row, there are as many jellybeans as the number of jellybean colors. Her little brother chops each jellybean into the same number of peices as the number of jellybean colors. If the final number of jellybean pieces is m, then:\nOptions:\n(A) m is a perfect square\n(B) m is an odd number\n(C) m is an even number\n(D) m is a perfect cube.\n(E) None

Answer: (D)

For example, if there were 4 jellybean colors, the girl would have made a 4x4 arrangement. The boy chopped up each jellybean into 4, the number of pieces would be (4*4)*4 = 64 pieces, which is a cube of 4.


Question: 189. The inside dimensions of a rectangular wooden box\nare 12 inches by 14 inches by 16 inches. A cylindrical\ncanister is to be placed inside the box so that it stands\nupright when the closed box rests on one of its six\nfaces. Of all such canisters that could be used, what is\nthe radius, in inches, of the one that has maximum\nvolume?\nOptions:\n(A)  3\n(B)  4\n(C)  5\n(D)  6\n(E)  7

Answer: (E)

Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 16x14width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 14, so the radius will be 7.


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

Answer: (E)

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


Question: How many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 22 sec\n(B) 35 sec\n(C) 25 sec\n(D) 18 sec\n(E) 17 sec

Answer: (B)


Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?\nOptions:\n(A) 70, 10 kmph\n(B) 35, 27 kmph\n(C) 50, 60 kmph\n(D) 45, 55 kmph\n(E) 45, 65 kmph

Answer: (A)

Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream = (80-60)/2 = 10 kmph


Question: P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?\nOptions:\n(A) 5 days\n(B) 9 days\n(C) 30 days\n(D) 20 days\n(E) 10 days

Answer: (E)

Work done by P in 1 day = 1/20\nWork done by Q in 1 day = 1/12\nWork done by P in 4 days = 4 × (1/20) = 1/5\nRemaining work = 1 – 1/5 = 4/5\nWork done by P and Q in 1 day = 1/20 + 1/12 = 8/60 = 2/15\nNumber of days P and Q take to complete the remaining work = (4/5) / (2/15) = 6\nTotal days = 4 + 6 = 10


Question: For some integer m, m^2 - 5 is divisible by all of the following EXCEPT\nOptions:\n(A) 38\n(B) 41\n(C) 30\n(D) 31\n(E) 29

Answer: (C)

Hint: m^2-5 (m is an integer) is never multiple of 3 (try to prove this), hence 30 is out.


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) 19\n(C) 360\n(D) 580\n(E) 720

Answer: (C)


Question: A train running at the speed of 30 km/hr crosses a pole in 6 sec. What is the length of the train?\nOptions:\n(A) 20 m\n(B) 70 m\n(C) 50 m\n(D) Cannot be determined\n(E) None of these

Answer: (C)

Speed = 30 * 5/18 = 25/3 m/sec\nLength of the train = speed * time = 25/3 * 6 = 50 m


Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividing the same number19?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 11\n(E) 15

Answer: (C)


Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are possible?\nOptions:\n(A) 74\n(B) 100\n(C) 162\n(D) 198\n(E) 202

Answer: (A)

We have 3 scenarios here:\n1) 1 tech2 businessmen: 4C1 x 5C2 = 40\n2) 2 tech1 businessman: 4C2 x 5C1 = 30\n3) 3 tech0 businessmen: 4C3 = 4\nTotal: 144+54+4 = 74


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) 288\n(B) 150\n(C) 77\n(D) 166\n(E) 1812

Answer: (B)


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) 18\n(B) 77\n(C) 66\n(D) 55\n(E) 12

Answer: (A)


Question: The average of fifteen results is 593 and that of the first fourteen is 594. The fifteenth result is?\nOptions:\n(A) 575\n(B) 602\n(C) 579\n(D) 586\n(E) 592

Answer: (C)


Question: The entire range of values of x is marked by the dark region on the number line, as shown above. Which of the following expressions describes the range of values of x?\nOptions:\n(A) (3+x) (2−x)  ≤ 0\n(B) (3−x) (2+x)  ≥ 0\n(C) (x−3) (x+2)  ≤ 0\n(D) (x+3) (2−x)  ≥ 0\n(E) (3−x) (2−x)  ≥ 0

Answer: (D)

Given: x≥−3x≥−3 and x≤2 x≤2\n(x+3)≥0(x+3)≥0 and (x−2)≤0(x−2)≤0\n(x+3)≥0(x+3)≥0 and (2−x)≥0(2−x)≥0


Question: The speed of a boat in still water is 40kmph 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) 60, 20 kmph

Answer: (E)

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


Question: The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 5\n(E) 8

Answer: (A)

If the number is divisible by 6, then the sum of the digits must also be divisible by both 3 and 2. Only 1 yields such a number.


Question: How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?\nOptions:\n(A) 22 sec\n(B) 20 sec\n(C) 15 sec\n(D) 23 sec\n(E) 16 sec

Answer: (D)


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

Answer: (A)

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


Question: There are 10person 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) 7!*3!\n(B) 7!*2!\n(C) 6!*3!\n(D) 5!*2!\n(E) 8!*3!

Answer: (B)


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 1/9%\n(C) 3 9/3%\n(D) 3 2/3%\n(E) 3 6/3%

Answer: (A)


Question: In a school of 700 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 173\n(B) 126\n(C) 153\n(D) 143\n(E) 133

Answer: (B)


Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for two years?\nOptions:\n(A) 29893\n(B) 27773\n(C) 29989\n(D) 28800\n(E) 23400

Answer: (E)


Question: The average of five results is 48 and that of the first four is 45. The fifth result is?\nOptions:\n(A) 50\n(B) 60\n(C) 70\n(D) 80\n(E) 90

Answer: (B)


Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 228\n(B) 277\n(C) 342\n(D) 291\n(E) 112

Answer: (C)


Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 3\n(B) 4\n(C) 8\n(D) 9\n(E) 12

Answer: (C)

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


Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 70 miles\n(C) 90 miles\n(D) 120 miles\n(E) 400 miles

Answer: (B)

Answer = B. 70 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 3 hours, difference = 30 * 3 = 90 miles\nFast train trailing 20 miles, so effective difference = 90 - 20 = 70 miles


Question: How many five-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?\nOptions:\n(A) 33\n(B) 66\n(C) 0\n(D) 99\n(E) 132

Answer: (C)

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


Question: 10 men and 15 women together can complete a work in 4 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) 100 days\n(B) 667 days\n(C) 177 days\n(D) 187 days\n(E) 225 days

Answer: (A)

1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/4\n15 women's 1 day work = (1/4 - 10/100) = 3/20\n1 woman's 1 day work = 1/100\n1 woman alone can complete the work in 100 days.


Question: If a number is chosen at random from the set {1, 2, 3…, 100}, then the probability that the chosen number is a perfect cube is\nOptions:\n(A) 1/25\n(B) 1/2\n(C) 4/13\n(D) 1/10\n(E) 3/10

Answer: (A)

We have 1, 8, 27 and 64 as perfect cubes from 1 to 100. Thus, the probability of picking a perfect cube is 4/100 = 1/25


Question: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?\nOptions:\n(A) 30 kmph\n(B) 40 kmph\n(C) 78 kmph\n(D) 15 kmph\n(E) 23 kmph

Answer: (A)

Speed downstream = 50 + 20 = 70 kmph\nSpeed upstream = 50 - 20 = 30 kmph


Question: What number comes next in the following series? 4, 14, 44, 134, 404, ____\nOptions:\n(A) 1204\n(B) 1208\n(C) 1214\n(D) 1216\n(E) 1220

Answer: (C)


Question: Grace has 18 jellybeans in her pocket. She has 9 red ones, 5 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\nOptions:\n(A) 4\n(B) 8\n(C) 12\n(D) 13\n(E) 15

Answer: (E)

The worst scenario is when she takes 9 red and 5 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.


Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\nOptions:\n(A) 299\n(B) 2767\n(C) 120\n(D) 287\n(E) 261

Answer: (C)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 3 gallons\\nVolume of whole = 3 * 40 = 120 gallons.


Question: How many factors does 25^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 24\n(D) 25\n(E) 26

Answer: (B)


Question: Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?\nOptions:\n(A) 7/36\n(B) 9/35\n(C) 4/37\n(D) 8/35\n(E) 5/3

Answer: (A)

A's one day's work = 1/18\nB's one day's work = 1/24\n(A + B)'s one day's work = 1/18 + 1/24 = 7/72\nThe part of the work completed in 3 days = 2 (7/72) = 7/36.


Question: A can do a piece of work in 16 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) 55\n(E) 12

Answer: (E)


Question: The total price of a kilogram each of Shimla apples and Red Delicious apples is 250 rupees more than the total price of a kilogram each of Red Delicious apples and Fuji apples. Fuji apples is how much cheaper than Shimla apples?\nOptions:\n(A) 250\n(B) 125\n(C) 500\n(D) 100\n(E) 80

Answer: (A)

(Shimla + Red Delicious) - (Red Delicious + Fuji) = 250\nShimla - Fuji = 250


Question: A student is ranked 13th from right and 8th from left.how many are there?\nOptions:\n(A) 18\n(B) 19\n(C) 20\n(D) 21\n(E) 22

Answer: (C)

13th from right means = x + 12\n8th from left means = 7 + x\nTotal = 12+7+1 = 20


Question: A train 455 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 22 sec\n(B) 16 sec\n(C) 17 sec\n(D) 39 sec\n(E) 12 sec

Answer: (D)


Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 30 miles behind the slower one. How far apart are the two trains at 5 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 90 miles\n(D) 120 miles\n(E) 400 miles

Answer: (A)

Answer = A. 60 miles\nRelational speed = 130 - 100 = 30 miles per hour\nIn 3 hours, difference = 30 * 3 = 90 miles\nFast train trailing 30 miles, so effective difference = 90 - 30 = 60 miles


Question: A train 400 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 77 kmph\n(C) 54 kmph\n(D) 71 kmph\n(E) 90 kmph

Answer: (E)


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) 1 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 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: What should come in place of the question mark (?) in the following equation?\n5679 + 1438 – 2015 = ?\nOptions:\n(A) 5192\n(B) 5012\n(C) 5102\n(D) 5002\n(E) None of these

Answer: (C)


Question: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?\nOptions:\n(A) 356\n(B) 278\n(C) 127\n(D) 100\n(E) 150

Answer: (D)

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


Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $237 for it, the cost price of the Cricket Bat for A is:\nOptions:\n(A) 150\n(B) 120\n(C) 158\n(D) 160\n(E) 210

Answer: (C)


Question: If n is an integer, then the least possible value of |35 - 6n| is?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 0\n(E) 1

Answer: (E)

|35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1.


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) 28 sec\n(C) 48 sec\n(D) 29 sec\n(E) 24 sec

Answer: (C)


Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 3\n(C) More than 3\n(D) Less than 1/3\n(E) none of these

Answer: (E)

Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n10(B + G) = 10[(x/y) + (y/x)] = 10[(x2 + y2)/xy] > 10


Question: Rita can knit a pair of socks in 3 days. Sita can knit the same in 6 days. If they are knitting together, in how many days will they knit two pairs of socks.\nOptions:\n(A) 4\n(B) 1\n(C) 2\n(D) 5\n(E) 6

Answer: (C)

1 /3+ 1/6 = 1 /2 Together they will take, 1/ 1/2 = 2


Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\nOptions:\n(A) 482\n(B) 725\n(C) 992\n(D) 837\n(E) 923

Answer: (A)


Question: A can do a piece of work in 14 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) 55\n(E) 14

Answer: (E)


Question: 30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 10\n(B) 11\n(C) 18\n(D) 13\n(E) 14

Answer: (C)

Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (690 – 150) = 540\n∴ Average price of a pen = 540⁄60 = 18


Question: Thirty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $50 million from its orange exports, how much money does it generate from its yearly total of exports?\nOptions:\n(A) $1000m\n(B) $25.5m\n(C) $106.25m\n(D) $127.5m\n(E) $153m

Answer: (A)


Question: Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase?\nOptions:\n(A) 5%\n(B) 10%\n(C) 15%\n(D) 20%\n(E) 25%

Answer: (B)


Question: A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?\nOptions:\n(A) 11\n(B) 10\n(C) 9\n(D) 8\n(E) 7

Answer: (C)


Question: During a sale, the price of a pair of shoes is marked down 12% 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) 14%\n(E) 90%

Answer: (D)

Assume the price = 100\nPrice during sale = 88\nPrice after sale = 100\nPercent increase = 12/88*100 = 14% approx.


Question: he population of a city is 150,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 1697787\n(B) 1697723\n(C) 168540\n(D) 169728\n(E) 169718

Answer: (C)


Question: John makes $60 a week from his job. He earns a raise andnow makes $84 a week. What is the % increase?\nOptions:\n(A) 16.12%\n(B) 16.66%\n(C) 16.56%\n(D) 40%\n(E) 18.1%

Answer: (D)


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?\nOptions:\n(A) 122443\n(B) 154546\n(C) 165454\n(D) 186545\n(E) 220030

Answer: (E)


Question: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 8560\n(B) 8950\n(C) 9944\n(D) 10000\n(E) 10200

Answer: (C)

Largest 4 digit number is 9999\nAfter doing 9999 ÷ 88 we get remainder 55\nHence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944


Question: Three grades of milk are 1 percent, 5 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 5 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 7 percent grade, what is x in terms of y and z?\nOptions:\n(A) -1y - 2z\n(B) (y +z)  / 4\n(C) 2y + 3z\n(D) 3y + z\n(E) 3y + 4.5z

Answer: (A)

Based on the given information, the following equation could be dervied: 1% * x + 5% * y + 3% * z = 7% * (x+y+z)\nThen use algebra to figure out 6%*x = -2%*y - 4%*z. Thus, 3x = -1y - 2z.


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 3, 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) 26\n(C) 24\n(D) 22\n(E) 30

Answer: (B)

Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26.


Question: Some persons can do a piece of work in 24 days. Two times the number of these people will do half of that work in?\nOptions:\n(A) 3\n(B) 4\n(C) 5\n(D) 6\n(E) 8

Answer: (D)


Question: Four of the following five parts (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.\nOptions:\n(A) 30 × 14 ÷ 7 × 5\n(B) 10 3 – 100 × 7\n(C) 5√3600\n(D) 450 ÷ 50 × 50 – 5 × 30\n(E) 10 × 3 + 120 × 2

Answer: (E)


Question: Divide Rs.32000 in the ratio 3:5?\nOptions:\n(A) 12000,20000\n(B) 12000,20092\n(C) 12000,20029\n(D) 12000,20007\n(E) 12000,20001

Answer: (A)


Question: John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 75%

Answer: (E)


Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 160\n(E) 180

Answer: (E)


Question: How many digits are in the number 50^8 × 8^3 × 11?\nOptions:\n(A) 18\n(B) 20\n(C) 19\n(D) 22\n(E) 17

Answer: (A)

Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10\n50^8 × 8^3 × 11 = (5^2*2)^8*2^9*11 = 5^16*2^17*11 = 2*11*10^16 = 22*10^16\nHence we would have 16 trailing 0's and the three digits from 22\nTotal digits = 2 + 16 = 18


Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\nOptions:\n(A) 1\n(B) 2\n(C) 4\n(D) 6\n(E) 7

Answer: (B)

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


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 m\n(B) 145 m\n(C) 140 m\n(D) 135 m\n(E) 155 m

Answer: (A)

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


Question: The average of 13 numbers is 59. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 59\n(B) 83\n(C) 45\n(D) 53\n(E) 64

Answer: (A)

Sum of all the 13 numbers = 13 * 59 = 767\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 767 = 59.


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) 3:5\n(B) 4:5\n(C) 2:5\n(D) 2:4\n(E) 2:7

Answer: (C)


Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 3 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 3\n(C) More than 3\n(D) Less than 1/3\n(E) none of these

Answer: (C)

Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n3(B + G) = 3[(x/y) + (y/x)] = 3[(x2 + y2)/xy] > 3


Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 7\n(E) 8

Answer: (B)

On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted


Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/9 %\n(B) 22 2/2 %\n(C) 23 1/2 %\n(D) 22 1/2 %\n(E) 62 1/2 %

Answer: (D)


Question: Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together?\nOptions:\n(A) 11 days\n(B) 9 days\n(C) 8 days\n(D) 12 days\n(E) 10 days

Answer: (E)


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) 30/90 kmph\n(B) 80,40 kmph\n(C) 24,98 kmph\n(D) 30,54 kmph\n(E) 45.98 kmph

Answer: (B)

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


Question: Find the largest 3 digit number which is exactly divisible by 88?\nOptions:\n(A) 765\n(B) 907\n(C) 944\n(D) 954\n(E) 968

Answer: (E)

Largest 3 digit number is 999\nAfter doing 999 ÷ 88 we get remainder 31\nHence largest 3 digit number exactly divisible by 88 = 999 - 31 = 968


Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 23\n(B) 35\n(C) 40\n(D) 45\n(E) 67

Answer: (C)

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


Question: If 4⁄9 of 3⁄10 of 5⁄8 of a number is 45, what is the number?\nOptions:\n(A) 450\n(B) 550\n(C) 560\n(D) 650\n(E) None of these

Answer: (E)


Question: Find the area of a parallelogram with base 24 cm and height 16 cm.\nOptions:\n(A) 262 cm2\n(B) 384 cm2\n(C) 192 cm2\n(D) 131 cm2\n(E) None of these

Answer: (B)

Area of a parallelogram = base * height = 24 * 16 = 384 cm2


Question: What will come in place of the x in the following number series? 12, 26, 54, 110, 222, x\nOptions:\n(A) 444\n(B) 446\n(C) 448\n(D) 452\n(E) 454

Answer: (B)


Question: P and Q invested in a shop. The profits were divided in the ratio of 4 : 6 respectively. If P invested Rs. 55,000, the amount invested by Q is:\nOptions:\n(A) 48000\n(B) 40000\n(C) 35000\n(D) 60000\n(E) None

Answer: (E)


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?\nOptions:\n(A) 220044\n(B) 145778\n(C) 220400\n(D) 220014\n(E) 220040

Answer: (E)


Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?\nOptions:\n(A) 4 1/3 hrs\n(B) 7 hrs\n(C) 8 hrs\n(D) 14 hrs\n(E) 15 hrs

Answer: (D)

Work done by the tank in 1 hour = (1/2 - 1/3) = 1/14 Leak will empty the tank in 14 hrs.


Question: Find the smallest number which should be multiplied with 13225 to make it a perfect square.\nOptions:\n(A) 25\n(B) 5\n(C) 1\n(D) 23\n(E) 6

Answer: (C)

13225 = 5*5*23*23\nRequired smallest number = 1\n1 is the smallest number which should be multiplied with 13225 to make it a perfect square.


Question: How long does a train 110 m long traveling at 72 kmph takes to cross a bridge of 170 m in length?\nOptions:\n(A) 16.5\n(B) 16.0\n(C) 16.4\n(D) 14\n(E) 16.1

Answer: (D)


Question: There are 5 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\nOptions:\n(A) 90\n(B) 120\n(C) 150\n(D) 180\n(E) 200

Answer: (C)

Number of ways of selecting 2 fiction books = 5C2\nNumber of ways of selecting 2 non fiction books = 6C2\n5C2 * 6C2 = 10 * 15 = 150


Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?\nOptions:\n(A) 3 days\n(B) 6 days\n(C) 8 days\n(D) 4 days\n(E) 9 days

Answer: (A)


Question: A man rows his boat 90 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 9 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph

Answer: (A)

Speed downstream = d/t = 90/(2 1/2) = 36 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (36 - 18)/2 = 9 kmph


Question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 6 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\nOptions:\n(A) 1.\n(B) 2.\n(C) 3.\n(D) 4.\n(E) 5.

Answer: (E)

Total boxes = 23\nFilled with toys = 16\nFilled with appliance = 7\nTotal boxes for sale = 8\nToy boxes for sale = 6\nAppliance boxes for sale = 2\nAppliance boxes not for sale = 7 - 2 = 5


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

Answer: (C)

Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5.


Question: If sushi rows 27 km upstream and 81 km down steam taking 9 hours each, then the speed of the stream\nOptions:\n(A) 12 kmph\n(B) 13 kmph\n(C) 22 kmph\n(D) 20 kmph\n(E) 15 kmph

Answer: (A)

Speed upstream = 27/9 = 3 kmph\nSpeed down stream = 81/3 = 27 kmph\nSpeed of stream = ½ (27-3) = 12 kmph


Question: A card shop contains 10 birthday cards, 10 holiday cards, and 9 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type?\nOptions:\n(A) 3/29\n(B) 12/58\n(C) 12/840\n(D) 7/841\n(E) 12/841

Answer: (E)

It doesn't matter which type of card you choose, so:\nProbability of choosing 1st card: 1\nProbability of choosing 2nd card of the same type: 4/29\nProbability of choosing 3rd card of the same type: 3/29\nMultiply and you get 12/841


Question: If six persons sit in a row, then the probability that three particular persons are always together is ?\nOptions:\n(A) 1/6\n(B) 1/2\n(C) 1/5\n(D) 1/2\n(E) 1/1

Answer: (C)

Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5


Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 15

Answer: (E)


Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?\nOptions:\n(A) 1/8\n(B) 1/4\n(C) 1/16\n(D) 1/2\n(E) 1/32

Answer: (A)


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2356\n(B) 3467\n(C) 4567\n(D) 5189\n(E) 5184

Answer: (E)


Question: If in the word 'DISTURBANCE', the first letter is interchanged with the last letter, the second letter is interchanged with the tenth letter and so on, which letter would come after the letter T in the newly formed word ?\nOptions:\n(A) S\n(B) C\n(C) T\n(D) R\n(E) U

Answer: (A)

The new letter sequence is E C N A B R U T S I D\nClearly, S comes after T


Question: From the set of numbers x, y, t, z, p, q, r and w, how many different combinations can we have without the t,p,q and r in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)\nOptions:\n(A) 10\n(B) 12\n(C) 15\n(D) 16\n(E) 30

Answer: (B)

Another way: Any letter (x, y, z, w) can be included or not. So, we have 2^4 combinations - 4 empty combination = 12 combinations


Question: A woman has 4 shirts, 5 pants and 2 belts. How many different clothing combinations can she wear?\nOptions:\n(A) 11\n(B) 20\n(C) 40\n(D) 60\n(E) 4

Answer: (C)


Question: A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 6\n(D) 7\n(E) 10

Answer: (D)


Question: Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off?\nOptions:\n(A) $40\n(B) $35\n(C) $50\n(D) $65\n(E) $15

Answer: (B)

Final number = original number - 30%(original number) = 50 - 30%(50) = 50 - 15 = $35.


Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 4

Answer: (B)

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


Question: Scott's average (arithmetic mean) golf score on his first four rounds was 28.What score does he need on his fifth round to drop his average score by 2 points?\nOptions:\n(A) 18\n(B) 72\n(C) 78\n(D) 88\n(E) 312

Answer: (A)

Average score for first 4 rounds = 28\nAverage score after 5 rounds = 26\nScore Scott needs on his 5th round to drop average score by 2 points = 28 - (2*5) = 18


Question: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\nOptions:\n(A) 176\n(B) 288\n(C) 363\n(D) 396\n(E) 484

Answer: (A)

I will go with A (pending elements to match is 2^2*2^2*11^1 = 176


Question: M is 30% of Q, Q is 20% of P and N is 50% of P. What is M / N\nOptions:\n(A) 3/28\n(B) 3/27\n(C) 3/21\n(D) 3/22\n(E) 3/25

Answer: (E)


Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\nOptions:\n(A) 1323\n(B) 9261\n(C) 2788\n(D) 2999\n(E) 1722

Answer: (B)


Question: The length T of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\nOptions:\n(A) Decreases by 19%\n(B) Decreases by 25%\n(C) Increases by 6%\n(D) Increases by 19%\n(E) Increases by 25%

Answer: (D)

Let the length T of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence


Question: The floor of a rectangular room is 20 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) 144 m2\n(B) 120 m2\n(C) 108 m2\n(D) 158 m2\n(E) None of these

Answer: (A)

Area of the outer rectangle = 24 Ã— 16 = 384 m2\nArea of the inner rectangle = 20 Ã— 12 = 240 m2\nRequired area = (304 â€“ 180) = 144 m2


Question: Find the odd man out? 3, 7, 15, 17, 22, 27, 29\nOptions:\n(A) 15\n(B) 17\n(C) 22\n(D) 27\n(E) 0

Answer: (C)

Each of the numbers is odd number except 22. The number 22 is the only even number.


Question: John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase?\nOptions:\n(A) 20%\n(B) 16.66%\n(C) 16.56%\n(D) 17.66%\n(E) 18.1%

Answer: (A)


Question: What should come in place of the question mark (?) in the following equation?\n5978 + 6134 + 7014 = ?\nOptions:\n(A) 19226\n(B) 16226\n(C) 19216\n(D) 19126\n(E) None of these

Answer: (D)


Question: 1,2,2,4,8,32,?(mult)\nOptions:\n(A) 2816\n(B) 1816\n(C) 2812\n(D) 2817\n(E) 6816

Answer: (A)

Each number is the product of the previous two numbers, ie 8*32 = 2816.


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

Answer: (C)

The total of seven numbers = 7X9 = 63\nThe total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54\nSo, the middle number is (63 - 54 ) = 9


Question: If n is a natural number, then (6n^2 + 6n) is always divisible by\nOptions:\n(A) 6 only\n(B) 6 and 12 both\n(C) 12 only\n(D) 18 only\n(E) 12 and 18 both

Answer: (B)

(6n^2 + 6n) = 6n(n + 1), which is divisible by both 6 and 12, since n(n+1) is always even.


Question: If, when the two parties of knights encounter one another after a month, exactly one knight changes from one travelling party to the other travelling party, that knight must be\nOptions:\n(A) P\n(B) Q\n(C) R\n(D) S\n(E) T

Answer: (B)

Q because Q always have to travel in northern route


Question: Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?\nOptions:\n(A) 223\n(B) 301\n(C) 377\n(D) 1368\n(E) 222

Answer: (B)

The required number of boxes is such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Such a number is 301.


Question: How much is 35% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 66\n(D) 14\n(E) 99

Answer: (D)


Question: There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?\nA. 17 B. 29 C. 23 D. 31\nOptions:\n(A) 17\n(B) 29\n(C) 23\n(D) 31\n(E) 33

Answer: (B)


Question: If 10 crates have 97 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 30\n(B) 10\n(C) 15\n(D) 20\n(E) 0

Answer: (A)

Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3 = 30


Question: In a boat 25 persons were sitting. Their average weight increased one kilogram when One man goes and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going ?\nOptions:\n(A) 45\n(B) 66\n(C) 44\n(D) 33\n(E) 61

Answer: (A)

Weight increased per person is 1 kg. Total increase in weight = 25 kgs Weight of new man is 70 kgs, (Which means his weight is 25 kgs heavier) The weight of the old man was 70 – 25 = 45 kgs


Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?\nOptions:\n(A) 81000\n(B) 81007\n(C) 81008\n(D) 81066\n(E) 81022

Answer: (A)


Question: A certain car uses 12 gallons of gasoline in traveling 120 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 6\n(D) 8\n(E) 10

Answer: (A)


Question: How long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?\nOptions:\n(A) 18\n(B) 16\n(C) 15\n(D) 11\n(E) 12

Answer: (A)


Question: The floor of a rectangular room is 17 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) 132 m2\n(C) 148 m2\n(D) 152 m2\n(E) None of these

Answer: (B)

Area of the outer rectangle = 21 Ã— 16 = 336 m2\nArea of the inner rectangle = 17 Ã— 12 = 204 m2\nRequired area = (336 â€“ 204) = 132 m2


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40 sec\n(B) 11 sec\n(C) 88 sec\n(D) 19 sec\n(E) 10 sec

Answer: (A)

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


Question: What is the are of an equilateral triangle of side 8 cm?\nOptions:\n(A) 64√5\n(B) 64√9\n(C) 16√3\n(D) 64√3\n(E) 64√2

Answer: (C)

Area of an equilateral triangle = √3/4 S2\nIf S = 8, Area of triangle = √3/4 * 8 * 8 = 16√3 cm2;


Question: In a school of 850 boys, 34% 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) 153\n(D) D) 238\n(E) E) 159

Answer: (D)


Question: The average of first 10 odd numbers is?\nOptions:\n(A) 11\n(B) 10\n(C) 19\n(D) 16\n(E) 13

Answer: (B)

Sum of 10 odd no. = 100\nAverage = 100/10 = 10


Question: 10, 14, 16, 18, 21, 24, 26\nOptions:\n(A) 17\n(B) 20\n(C) 21\n(D) 25\n(E) 26

Answer: (C)

Each of the numbers except 21 is an even number


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) 2397\n(B) 2401\n(C) 2411\n(D) 2423\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: Which of the following is a prime number ?\nOptions:\n(A) 33\n(B) 81\n(C) 97\n(D) 93\n(E) none

Answer: (C)


Question: The average of 13 numbers is 58. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 72\n(B) 83\n(C) 45\n(D) 53\n(E) 64

Answer: (A)

Sum of all the 13 numbers = 13 * 58 = 754\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 754 = 72.


Question: ELFA, GLHA, ILJA, _____, MLNA\nOptions:\n(A) IOH\n(B) HTY\n(C) YOU\n(D) FLQ\n(E) KLLA

Answer: (E)

The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter


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.154. Find the unknown rate of two blankets?\nOptions:\n(A) 420\n(B) 550\n(C) 490\n(D) 450\n(E) 457

Answer: (C)


Question: A man purchased 2 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) 278\n(B) 277\n(C) 278\n(D) 450\n(E) 550

Answer: (E)


Question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 3/8\n(C) 8/5\n(D) 4/1\n(E) 5/3

Answer: (D)

Distance traveled by Eddy = 900 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 900/3 = 300 km/hour\nDistance traveled by Freddy = 300 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 300/4 = 75 km/hour\nRatio of average speed of Eddy to Freddy = 300/75 = 4/1


Question: How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.\nOptions:\n(A) 22\n(B) 34\n(C) 73\n(D) 26\n(E) 11

Answer: (B)

Single digit numbers = 4\nDouble digit numbers = 4 x 3 = 12\nThree digit numbers = 3 x 3 x 2 x 1 = 18\nTotal = 34


Question: From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina\nOptions:\n(A) 5/56\n(B) 9/56\n(C) 28/120\n(D) 21/56\n(E) 25/56

Answer: (C)

Number of ways of selecting 3 people out of 10 people = 10C3\nIn the three members George will always be there in the team. At this step we have vacancy for 2 more members and 9 members are available. Lina cannot be there in the team. So 2 members have to be selected and the number of available members = 9 - Nina = 8\nNumber of ways to form a 3 member team that includes George and excludes Nina = 8C2\nProbability = 8C2/10C3 = 28/120


Question: What percent is 150 of 90?\nOptions:\n(A) 133 1/3 %\n(B) 166 2/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 143 1/3 %

Answer: (B)


Question: The average of seven numbers is 22. 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) 55\n(C) 31\n(D) 34\n(E) 35

Answer: (B)

The total of seven numbers = 7X22 = 154\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (154 - 99 ) = 55


Question: Anitha had 80 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 4000. How much amount (in Rs) did she have in the denomination of Rs 45?\nOptions:\n(A) 3500\n(B) 72\n(C) 2000\n(D) 3000\n(E) 4000

Answer: (B)

Let the number of 45-rupee notes = x\nThen, the number of 95-rupee notes = (80 – x)\n45x + 95(80 – x) = 4000 or x + 2(80 – x) = 95 or x = 72.


Question: The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?\nOptions:\n(A) 20\n(B) 22\n(C) 18\n(D) 19\n(E) 21

Answer: (E)

The total of seven numbers = 7X21 = 147\nThe total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126\nSo, the middle number is (147 - 126 ) = 21


Question: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?\nOptions:\n(A) 5\n(B) 7\n(C) 11\n(D) 13\n(E) 15

Answer: (A)


Question: Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank?\nOptions:\n(A) A16\n(B) G4\n(C) E4\n(D) E3\n(E) F2

Answer: (C)

Answer: Option C\nThe letters decrease by 1; the numbers are multiplied by 2.


Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\nOptions:\n(A) 820 gallons\n(B) 128 gallons\n(C) 120 gallons\n(D) 129 gallons\n(E) 220 gallons

Answer: (C)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\nVolume of 1/40 part = 3 gallons\\nVolume of whole = 3 * 40 = 120 gallons.


Question: In what time a sum of money double itself at 6% 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) 16 2/3%

Answer: (E)


Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?\nOptions:\n(A) 70, 10 kmph\n(B) 35, 27 kmph\n(C) 50, 60 kmph\n(D) 80, 20 kmph\n(E) 45, 65 kmph

Answer: (D)

Speed of the boat in still water = (60+100)/2 = 80 kmph. Speed of the stream = (100-60)/2 = 20 kmph


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2560\n(B) 3400\n(C) 3690\n(D) 4500\n(E) 5184

Answer: (E)


Question: The edge of a cube is 3a cm. Find its surface?\nOptions:\n(A) 24a8\n(B) 24a4\n(C) 24a1\n(D) 54a2\n(E) 24a7

Answer: (D)


Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 11\n(B) 16\n(C) 18\n(D) 10\n(E) 14

Answer: (B)


Question: Find the value of y from (12)^3 x 6^4÷432 = y?\nOptions:\n(A) 5618\n(B) 5232\n(C) 5889\n(D) 5184\n(E) 5132

Answer: (D)


Question: In a bag there are 3 Snicker's bars and 2 Milky Way bars. What is the probability of choosing at least one Snickers when choosing two consecutive candy bars randomly?\nOptions:\n(A) 9/10\n(B) 16/20\n(C) 2/5\n(D) 3/5\n(E) ½

Answer: (A)

P(at least one Snicker's Bar) = 1 - P(no Snicker's Bar, so 2 Milky Way Bars) = 1- 2/5*1/4 = 9/10.


Question: A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?\nOptions:\n(A) 1/4\n(B) 1/6\n(C) 1/10\n(D) 1/20\n(E) 1/50

Answer: (A)

If the last digit is 0, 2, 4, 6, or 8, the number is even and therefore not prime. If the last digit is 5, the number is divisible by 5 and therefore not prime. The only possibilities are 1, 3, 7, and 9. So the probability is approximately 1/4 (answer A). We say approximately because there is a certain degree of randomness in the distribution of prime numbers.


Question: How many factors does 35^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 24\n(D) 25\n(E) 26

Answer: (C)


Question: A car has a 20-gallon fuel to travel 500 miles.At this rate, how many gallons of fuel are needed for a 1000 mile car ?\nOptions:\n(A) 10\n(B) 30\n(C) 20\n(D) 40\n(E) 50

Answer: (D)

Number of gallons of fuel per mile = 500 /20 = 25 gallons per mile\nNumber of gallons of fuel for a 1000 mile car = 1000/25 = 40


Question: A man can buy a new house in 4 years with all of his earnings. But he spend the same amount in household expenses in 8 years and for savings in 12 years. How many time needed for buying the house?\nOptions:\n(A) 12\n(B) 20\n(C) 30\n(D) 15\n(E) 24

Answer: (E)

His savings in 1 year = 1/4 - (1/8+ 1/12) = 1/24\nHe can buy a new house in 24 years


Question: Find the third proportional to 2 and 8?\nOptions:\n(A) 10\n(B) 32\n(C) 36\n(D) 19\n(E) 20

Answer: (B)

Formula = Third proportional = (b × b)/a\nA = 2 and B = 8\n(8 x 8 )/ 2 = 64/2 = 32


Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?\nOptions:\n(A) 125 m\n(B) 104 m\n(C) 140 m\n(D) 152 m\n(E) 150 m

Answer: (A)


Question: How many numbers between 101 and 250, exclusive are divisible by three?\nOptions:\n(A) 34\n(B) 41\n(C) 50\n(D) 83\n(E) 148

Answer: (C)

Numbers upto 250 divisible by 3 is 250/3 = 83\nNumbers upto 101 divisible by 3 is 101/3 = 33\nTotal number of numbers between 101 and 250 that are divisible by 3 is 83 - 33 = 50


Question: Solve:-\n111 x 111 x 111 + 555 x 555 x 555 = ?(111 x 111 - 111 x 555 + 555 x 555)\nOptions:\n(A) 888\n(B) 666\n(C) 555\n(D) 988\n(E) 889

Answer: (B)


Question: If 17m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 4m\n(C) 6m\n(D) m/5\n(E) 6m/5

Answer: (C)

17m - n = p\nAdd n to both sides:\n17m = n + p\nAdd m to both sides:\n18m = n + p + m\nNow, divide both sides by 3\n6m = (n + p + m)/3 = the average of n, p, and m


Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?\nOptions:\n(A) 60 miles\n(B) 80 miles\n(C) 110 miles\n(D) 120 miles\n(E) 400 miles

Answer: (C)

Answer = C. 110 miles\nRelational speed = 120 - 100 = 20 miles per hour\nIn 4 hours, difference = 20 * 4 = 120 miles\nFast train trailing 10 miles, so effective difference = 120 - 10 = 110 miles


Question: What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x\nOptions:\n(A) 3707\n(B) 3790\n(C) 3910\n(D) 3907\n(E) 3970

Answer: (D)


Question: A Train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long. Find the speed of the train.\nOptions:\n(A) 144 kmph\n(B) 124 kmph\n(C) 134 kmph\n(D) 150 kmph\n(E) 160 kmph

Answer: (A)

In 8s the train crosses the pole and in 18 sec the train crosses one more stationary train\nIn 10 sec the train travels a distance of 400 mtrs\nSpeed = 400/10 = 40 m/s = 40 (3600/1000) = 40 * 18/5 = 144 kmph


Question: If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?\nOptions:\n(A) $3500\n(B) $5000\n(C) $4830\n(D) $7000\n(E) $10000

Answer: (C)


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) 41\n(B) 43\n(C) 31\n(D) 84\n(E) 81

Answer: (A)

(1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12\nWork done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48\nRemaining work = 1 - 7/48 = 41/48\nWork done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48\nTherefore, Number of boys required = ((41/48) x 48) = 41


Question: The average age of a class of 14 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\nOptions:\n(A) 30 Years\n(B) 31 Years\n(C) 32 Years\n(D) 34 Years\n(E) 25 Years

Answer: (E)

Total age of students is 14X10 = 140 Years\nTotal age inclusive of teacher = 15X (10+1) = 165\nSo, Teacher's age is 165-140 = 25 Yrs\nThere is a shortcut for these type of problems\nTeacher's age is 10+(15X1) = 25 Years


Question: A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?\nOptions:\n(A) 338\n(B) 277\n(C) 463\n(D) 456\n(E) 271

Answer: (C)


Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\nOptions:\n(A) 21\n(B) 25\n(C) 40\n(D) 47\n(E) 58

Answer: (C)

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


Question: Convert the 12/43 m/s into kilometers per hour?\nOptions:\n(A) 3.5 kmph.\n(B) 2.5 kmph.\n(C) 1 kmph.\n(D) 1.5 kmph.\n(E) 1.9 kmph.

Answer: (C)


Question: Two trains are moving at 85 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) 5 25/31 sec\n(B) 7 1/17 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/9 sec

Answer: (A)


Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 19 seconds. What is the length of the platform in meters?\nOptions:\n(A) 220 meters\n(B) 360 meters\n(C) 420 meters\n(D) 600 meters\n(E) Cannot be determined

Answer: (A)

Speed of the train in metres/sec = 72000/3600 = 20\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\nDistance travelled by train to cross the man = 19 * 20 = 380 = Length of train\nLength of platform = 600 - 380 = 220


Question: A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the probability that this draw of red ball is due to the drawing of red ball from the first bag ?\nOptions:\n(A) 3/5\n(B) 2/5\n(C) 4/25\n(D) 3/10\n(E) 15/23

Answer: (E)

Probability of getting red ball from bag1 and then red from bag 2 = 3/5*5/10 = 15/50\nProbability of getting black ball from bag1 and then red from bag 2 = 2/5*4/10 = 8/50\nNow comes the condition, hence apply conditional probability:\nP(Red)/ P(Red + Black)\n(15/50)/(15/50+8/50) = 15/50 /23/50 = 15/23.


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 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\nOptions:\n(A) 240\n(B) 246\n(C) 252\n(D) 292\n(E) 298

Answer: (D)

Number of newborns that can die in first month = 1/10 * 400 = 40\nSurvived = 360\nNumber of newborns that can die in second month = 1/10 * 360 = 36\nSurvived = 324\nNumber of newborns that can die in third month = 1/10 * 324 = 32\nSurvived = 292


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 3 utility stocks, how many different combinations of 7 stocks are possible?\nOptions:\n(A) 12\n(B) 19\n(C) 60\n(D) 180\n(E) 720

Answer: (D)


Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?\nOptions:\n(A) 8279\n(B) 2890\n(C) 2800\n(D) 2730\n(E) 3702

Answer: (C)


Question: What should come in place of question mark(?) in the following equation?\n8597 – ? = 7429 – 4358\nOptions:\n(A) 5706\n(B) 5526\n(C) 5426\n(D) 5626\n(E) None of these

Answer: (B)


Question: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.\nOptions:\n(A) 110 kmph\n(B) 120 kmph\n(C) 108 kmph\n(D) 100 kmph\n(E) 98 kmph

Answer: (C)

In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train\nIn 20 sec the train travels a distance of 600 mtrs\nSpeed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph


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) 3 4/9 days\n(B) 8 4/9 days\n(C) 9 3/8 days\n(D) 6 3/8 days\n(E) none of these

Answer: (C)


Question: A man rows his boat 84 km downstream and 48 km upstream, taking 2 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (C)

Speed downstream = d/t = 84/(2) = 42 kmph\nSpeed upstream = d/t = 48/(2) = 24 kmph\nThe speed of the stream = (42 - 24)/2 = 9 kmph


Question: The measure of the side of a square is quadrupled. 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: (B)

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


Question: In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :\nOptions:\n(A) n is a perfect square\n(B) n is an odd number\n(C) n is an even number\n(D) n is a perfect cube\n(E) none

Answer: (D)

For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be (4*4)*4 = 64 pieces, which is a cube of 4.


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 2 days?\nOptions:\n(A) 2/5\n(B) 1/6\n(C) 1/4\n(D) 1/9\n(E) 2/6

Answer: (D)

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 2 days = 2 (1/18) = 1/9.


Question: 80 is increased by 50%. Find the final number.\nOptions:\n(A) 100\n(B) 110\n(C) 120\n(D) 30\n(E) 160

Answer: (C)

Final number = Initial number + 50%(original number) = 80 + 50%(80) = 80 + 40 = 120.


Question: If n is the greatest positive integer for which 4^n is a factor of 8!, then n =?\nOptions:\n(A) 2\n(B) 4\n(C) 6\n(D) 8\n(E) 10

Answer: (A)


Question: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $231 for it, the cost price of the Cricket Bat for A is:\nOptions:\n(A) 150\n(B) 120\n(C) 154\n(D) 160\n(E) 210

Answer: (C)


Question: A motorcyclist goes from Bombay to Nagpur, a distance of 600 kms at an average of 120 kmph speed. Another man starts from Bombay by car 1 Â½ hours after the first, and reaches Nagpur Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:7\n(C) 1:9\n(D) 3:5\n(E) 1:1

Answer: (D)


Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 20 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 33 min.\n(C) 17 min.\n(D) 23 min.\n(E) 25 min.

Answer: (B)

The ratio is 2:3 = gym:ride, so (20)(3/2) = 30 minutes at the gym, and 30 + 20 = 50 minutes exercise, so (2/3)(50) = 33 minutes yoga.


Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 15 sec\n(B) 16 sec\n(C) 18 sec\n(D) 20 sec\n(E) 22 sec

Answer: (B)


Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?\nOptions:\n(A) 120 m\n(B) 190 m\n(C) 115 m\n(D) 110 m\n(E) 150 m

Answer: (E)

Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 9 = 150 m


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) 34%\n(B) 54%\n(C) 57%\n(D) 78%\n(E) 87%

Answer: (C)


Question: P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.\nOptions:\n(A) 8\n(B) 10\n(C) 14\n(D) 16\n(E) 19

Answer: (B)

Work done by P in 1 day = 1/24\nWork done by Q in 1 day = 1/9\nWork done by R in 1 day = 1/12\nWork done by Q and R in 1 day = 1/9 + 1/12 = 7/36\nWork done by Q and R in 3 days = 3×7/36 = 7/12\nRemaining work = 1 – 7/12 = 5/12\nNumber of days in which P can finish the remaining work = (5/12) / (1/24) = 10


Question: In case N is the only individual sewing on committee B, which among the following shouldserve on committee A?\nOptions:\n(A) V and U\n(B) V and T\n(C) U and S\n(D) O and P\n(E) T and U

Answer: (D)


Question: If in a certain sequence of consecutive multiples of 100, the median is 650, and the greatest term is 1000, how many terms that are smaller than 650 are there in the sequence?\nOptions:\n(A) 6\n(B) 4\n(C) 8\n(D) 12\n(E) 13

Answer: (B)

Since the median is 650 we know there must be a even number of integers\nSo the list around 625 must go. 600 ( 650) 700 800 900 1000\nSince we know there are 4 numbers greater than 650 then there must be 4 numbers less then 650.


Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting?\nOptions:\n(A) 12\n(B) 22 1/2\n(C) 37 1/2\n(D) 50\n(E) 29

Answer: (E)


Question: Calculate the circumference of a circular field whose radius is 6 centimeters.\nOptions:\n(A) 2 π cm\n(B) 1 π cm\n(C) 15 π cm\n(D) 12 π cm\n(E) 19 π cm

Answer: (D)

Circumference C is given by\nC = 2πr = 2π*6 = 12 π cm


Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?\nOptions:\n(A) 6 2/3%\n(B) 6 2/9%\n(C) 6 3/3%\n(D) 9 2/3%\n(E) 7 2/3%

Answer: (A)