Question: Last year, Company Z made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his two other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/4\n(B) q/5\n(C) q/6\n(D) q/7\n(E) q/8

Answer: (A)

Profit = q\nProfit to company founder = q/2\nProfit to other partners = q/2\nNumber of other partners = 2\nProfit to each partner = (q/2)/2 = q/4


Question: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 120 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) 110, 10 kmph\n(D) 45, 55 kmph\n(E) 45, 65 kmph

Answer: (C)

Speed of the boat in still water = (100+120)/2 = 110 kmph. Speed of the stream = (120-100)/2 = 10 kmph


Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 88 players took part in that tournament. How many matches were played?\nOptions:\n(A) 90 matches\n(B) 95 matches\n(C) 99 matches\n(D) 85 matches\n(E) 87 matches

Answer: (E)

E 87 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 87 matches were played.


Question: A train 280 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) 77 sec\n(D) 55 sec\n(E) 17 sec

Answer: (B)


Question: A man rows his boat 80 km downstream and 38 km upstream, taking 3 hours each time. Find the speed of the stream?\nOptions:\n(A) 6\n(B) 9\n(C) 7\n(D) 8\n(E) 2

Answer: (B)

Speed downstream = d/t = 80/(3) = 27 kmph\nSpeed upstream = d/t = 38/(3) = 9 kmph\nThe speed of the stream = (27 - 9)/2 = 9 kmph


Question: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?\nOptions:\n(A) 245000\n(B) 367500\n(C) 196000\n(D) 171500\n(E) None of these

Answer: (B)


Question: Find the third proportional to 2 and 10?\nOptions:\n(A) 10\n(B) 12\n(C) 16\n(D) 19\n(E) 50

Answer: (E)

Formula = Third proportional = (b × b)/a\nA = 2 and B = 10\n(10 × 10)/ 2 = 100/2 = 50


Question: In Cricket game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?\nOptions:\n(A) 1/3\n(B) 4/9\n(C) 5/9\n(D) 2/3\n(E) 3/4

Answer: (C)

In Cricket game Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:\nP(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.


Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 277\n(B) 267\n(C) 153\n(D) 188\n(E) 151

Answer: (C)


Question: Find the largest 5 digit number which is exactly divisible by 88?\nOptions:\n(A) 98765\n(B) 98907\n(C) 99944\n(D) 99954\n(E) 99968

Answer: (E)

Largest 5 digit number is 99999\nAfter doing 99999 ÷ 88 we get remainder 31\nHence largest 5 digit number exactly divisible by 88 = 99999 - 31 = 99968


Question: If x<0, y>0, and |x| < |y|, which of the following must be true?\nOptions:\n(A) x > y\n(B) y^2 > x^2\n(C) x^3 > y^2\n(D) –x < y\n(E) x < –y

Answer: (D)

Correct Answer: (E)\nLet’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus –x < y is the same statement as |x| > |y|, and (D) must be true.


Question: What is the area of a square with perimeter 2P ?\nOptions:\n(A)  16p^2\n(B)  4P\n(C)  P^2/5\n(D)  P/16\n(E)  P^2/4

Answer: (E)


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) 17 1/7\n(B) 17 1/9\n(C) 17 1/2\n(D) 17 1/7\n(E) 17 1/5

Answer: (A)


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

Answer: (E)


Question: In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/5\n(D) 2/7\n(E) 3/8

Answer: (A)

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


Question: A train running at the speed of 120 km/hr crosses a pole in 9 seconds. Find the length of the train.\nOptions:\n(A) 100 meter\n(B) 150 meter\n(C) 200 meter\n(D) 250 meter\n(E) 300 meter

Answer: (E)

Speed = 120*(5/18) m/sec = 200/6 m/sec\nLength of Train (Distance) = Speed * Time\n(200/6) * 9 = 300 meter


Question: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:\nOptions:\n(A) 279\n(B) 283\n(C) 308\n(D) 318\n(E) 328

Answer: (C)


Question: From among the 31 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\nOptions:\n(A) 1360\n(B) 1260\n(C) 1060\n(D) 1160\n(E) 930

Answer: (E)

There are 31 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 31 ways. When one person is appointed as leader, we are left with 35 students. Out of these 30 teachers, we can select one class representative. So, a class representative can be selected in 30 ways. Hence, the number of ways in which a leader and class representative can be selected = 31 x 30 = 930


Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (-2, -2) and a diameter of 8. Some points, such as the center (-2, -2), are inside the circle, but a point such as (-2, 2) is on the circle but not in the circle. How many lattice points are in circle C?\nOptions:\n(A) 40\n(B) 10\n(C) 73\n(D) 60\n(E) 63

Answer: (C)

The lattice points that are in the circle that lie on the perspective axes is as follows: since the diameter is 8, 9 points lie on the horizontal axis (8 + center), but the end points are not in the circle, so 9 - 2 (the same for the vertical axis, but don't count center again), 7 - 1. The lattice points in the circle and not on the horizontal and vertical axes is as follows: lattice points can be found at 45, 45/2 and 30 degrees of axes (30 and 45/2 degrees from horizontal and vertical axes), so same numbers as before, but don't count center again. So, 13 + 5 * 12 = 73\nThere are a total of 73 lattice points in the circle.


Question: Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ?\nOptions:\n(A) 13\n(B) 22\n(C) 24\n(D) 27\n(E) 18

Answer: (B)

This is a simple alternating subtraction and addition series; The first series begins with 6 and adds 8; the second begins with 45 and subtracts 5, and so on.


Question: Find the wrong number below mentioned series\n5,24,60,120,210,340\nOptions:\n(A) 340\n(B) 210\n(C) 5\n(D) 60\n(E) none

Answer: (C)

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


Question: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) f(x) \n(B) 2*f(x) \n(C) 1/f(x) \n(D) -f(x) \n(E) 2/f(x)

Answer: (D)

If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)


Question: A train running at the speed of 180 km/hr crosses a pole in 8 seconds. Find the length of the train.\nOptions:\n(A) 150\n(B) 88\n(C) 480\n(D) 288\n(E) 400

Answer: (E)

Speed = 180*(5/18) m/sec = 50 m/sec\nLength of Train (Distance) = Speed * Time\n50 *8 = 400 meter


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

Answer: (A)


Question: The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\nOptions:\n(A) 8\n(B) 16\n(C) 31\n(D) 18\n(E) 34

Answer: (C)

Minimum age = Average - 1 Standard deviation = 35 - 30 = 5\nMaximum age = average + 1 Standard deviation = 35+ 30 = 35\nMaximum number of different ages of the applicants = 35- 5 + 1 = 31


Question: The average of first 15 even numbers is?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 16\n(E) 14

Answer: (D)

Sum of 15 even numbers = 15 * 16 = 240\nAverage = 240/15 = 16


Question: In Hockey game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?\nOptions:\n(A) 1/3\n(B) 4/9\n(C) 5/9\n(D) 2/3\n(E) 3/4

Answer: (C)

In Hockey game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:\nP(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.


Question: How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 17\n(B) 19\n(C) 11\n(D) 12\n(E) 10

Answer: (D)


Question: Rectangular tile each of size 60cm by 56cm must be laid horizontally on a rectangular floor of size 560cm by 240cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:\nOptions:\n(A) 50\n(B) 54\n(C) 47\n(D) 40\n(E) 45

Answer: (D)


Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 7\n(E) 8

Answer: (A)


Question: John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 76.69%\n(D) 76.98%\n(E) 75%

Answer: (E)


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) 17 1/7 days\n(B) 27 1/7 days\n(C) 23 2/7 days\n(D) 16 4/11 days\n(E) none of these

Answer: (A)


Question: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\nOptions:\n(A) (a – b) 2 + 4ab\n(B) a(a + b)  + b(a + b) \n(C) (a2 – b2)  + 2b(b + a) \n(D) (a – b) b + (a + b) 2b\n(E) (a + b) 2 – 2a(a – b)  + a(2a – 2b)

Answer: (D)


Question: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?\nOptions:\n(A) 1/9 sq units.\n(B) 4/9 sq units.\n(C) 8/9 sq units.\n(D) 7/9 sq units.\n(E) 6/9 sq units.

Answer: (C)


Question: Find the product of the local value and absolute value of 4 in 20468?\nOptions:\n(A) 1000\n(B) 1100\n(C) 1200\n(D) 1340\n(E) 1600

Answer: (E)

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


Question: The average of five results is 46 and that of the first four is 45. The fifth result is?\nOptions:\n(A) 22\n(B) 02\n(C) 78\n(D) 50\n(E) 18

Answer: (D)


Question: A train 460 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) 87\n(C) 48\n(D) 21\n(E) 14

Answer: (C)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 460 + 140 = 600 m\nRequired time = 600 * 2/25 = 48 se


Question: A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ?\nOptions:\n(A) 40 sec\n(B) 35 sec\n(C) 33 sec\n(D) 42 sec\n(E) 41 sec

Answer: (A)

Time taken to cross a moving person = length of train/ relative speed\nTime taken = 400/((50-14) (5/18) = 400/ 36*(5/18) = 400/10 = 40 sec


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) 125786\n(B) 158799\n(C) 564323\n(D) 344567\n(E) 220030

Answer: (E)


Question: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?\nOptions:\n(A) 2 1/0\n(B) 2 1/8\n(C) 2 1/5\n(D) 2 1/3\n(E) 2 1/2

Answer: (E)


Question: Tom 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) 15 Kmph\n(B) 29 Kmph\n(C) 25 Kmph\n(D) 30 Kmph\n(E) 34 Kmph

Answer: (A)

Total distance = 8 Km\nTotal time = 50 Km\nTime taken to cover the distance 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: If x is a positive integer, which of the following could NOT be the square of x?\nOptions:\n(A) 5,008,644\n(B) 5,004,169\n(C) 4,999,696\n(D) 4,995,225\n(E) 4,990,752

Answer: (E)

A perfect square will never end in 2, 3, 7 or 8. (last digit cannot be 2, 3, 7 or 8)\nHere E is the odd one out.


Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/28\n(C) 3/56\n(D) 3/35\n(E) 7/40

Answer: (E)


Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.\nOptions:\n(A) 125/127\n(B) 127/125\n(C) 125/126\n(D) 126/125\n(E) 126/127

Answer: (C)

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


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 540 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) 12/5\n(E) 5/3

Answer: (D)

Distance traveled by Eddy = 540 km\nTime taken by Eddy = 3 hours\nAverage speed of Eddy = 540/3 = 180 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 = 180/75 = 12/5


Question: Look at this series: 0.6, 0.3, ____, 0.075, 0.0375, ... What number should fill the blank?\nOptions:\n(A) 0.015\n(B) 1.15\n(C) 0.15\n(D) 0.25\n(E) 0.35

Answer: (C)

This is a simple multiplication series. Each number is multiple by 1/2.


Question: If north becomes south-west ant south-west becomes east and all the directions changed in the same manner,then what will be the direction for south-east?\nOptions:\n(A) North-West\n(B) North-East\n(C) North\n(D) West\n(E) none

Answer: (C)

North -> South-west\nNorth-east -> West\nEast -> North-west\nSouth-east -> North\nSouth -> North-east\nSouth-west -> east\nWest -> South-east\nNorth-west -> south


Question: A train 640 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) 144 kmph\n(D) 71 kmph\n(E) 88 kmph

Answer: (C)


Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\nOptions:\n(A) 288\n(B) 299\n(C) 266\n(D) 450\n(E) 291

Answer: (D)


Question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?\nOptions:\n(A) 4 sec\n(B) 16 sec\n(C) 6 sec\n(D) 20 sec\n(E) 8 sec

Answer: (A)


Question: John has 5 flavors of chocolate in him shop. How many options are there for Jones to pick a one-flavor, two-flavor, three-flavor, four-flavor or five-flavor order?\nOptions:\n(A) 22\n(B) 31\n(C) 43\n(D) 37\n(E) 38

Answer: (B)


Question: What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break?\nOptions:\n(A)  1/ 225\n(B)  1 / 30\n(C)  1 /15\n(D)  2 / 15\n(E)  4 /15

Answer: (D)


Question: If 4 men can reap 40 acres of land in 15 days, how many acres of land can 16 men reap in 30 days?\nOptions:\n(A) 320\n(B) 240\n(C) 369\n(D) 489\n(E) 125

Answer: (A)


Question: How much is 80% of 40 is greater than 4/5 of 15?\nOptions:\n(A) 12\n(B) 20\n(C) 18\n(D) 12\n(E) 81

Answer: (B)


Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 22 1/2\n(C) 22 1/0\n(D) 22 1/9\n(E) 22 1/1

Answer: (B)


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

Answer: (B)

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


Question: X can finish a work in 21 days. Y can finish the same work in 15 days. Y worked for 5 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) 14\n(E) 18

Answer: (D)

Work done by X in 1 day = 1/21\nWork done by Y in 1 day = 1/15\nWork done by Y in 5 days = 5/15 = 1/3\nRemaining work = 1 – 1/3 = 2/3\nNumber of days in which X can finish the remaining work = (2/3) / (1/21) = 14


Question: Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations?\nOptions:\n(A) 88%\n(B) 78%\n(C) 98%\n(D) Cannot be determined\n(E) None of these

Answer: (D)

Since the weight age of eighth examination is not known, hence can not be determine


Question: If 40 per cent of a number is added to an other number then it becomes 125 per cent of itself. What will be the ratio of first and second numbers?\nOptions:\n(A) 8 : 5\n(B) 5 : 7\n(C) 5 : 8\n(D) Data inadequate\n(E) None of these

Answer: (E)


Question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 610 or over 780. If the individual ranges of the three people's scores in those 4 practice tests were 50, 80 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 70\n(B) 80\n(C) 90\n(D) 100\n(E) 110

Answer: (B)

According to the information in the question the maximum range would be between 610 and 780(170). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 170-90 or 80.


Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 49%\n(C) 57%\n(D) 59%\n(E) 61%

Answer: (C)


Question: Find the mean proportional between 25 & 36?\nOptions:\n(A) A) 59\n(B) B) 30\n(C) C) 63\n(D) D) 65\n(E) E) 67

Answer: (B)

Formula = √a×b\nA = 25 and B = 36\n√25×36 = 5 × 6 = 30


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) 3\n(D) 4\n(E) 5

Answer: (B)

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


Question: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 7 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?\nOptions:\n(A) 30\n(B) 20\n(C) 18\n(D) 12\n(E) 6

Answer: (D)


Question: How much is 60% of 40 is greater than 4/5 of 30?\nOptions:\n(A) 8\n(B) 3\n(C) 7\n(D) 0\n(E) 1

Answer: (D)


Question: A 180 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?\nOptions:\n(A) 72\n(B) 108\n(C) 1266\n(D) 188\n(E) 211

Answer: (A)


Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 3\n(B) 5\n(C) 4\n(D) 6\n(E) 7

Answer: (D)


Question: he population of a city is 130,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 146069\n(B) 146067\n(C) 156068\n(D) 146068\n(E) 179718

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 m\n(B) 155 m\n(C) 180 m\n(D) 190 m\n(E) 205 m

Answer: (A)

Answer: Option A\nSpeed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (distance) = speed * Time\n(50/3) * 9 = 150 meter


Question: A can do a job in 20 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?\nOptions:\n(A) 22 1/6\n(B) 24\n(C) 22 1/0\n(D) 22 1/9\n(E) 22 1/1

Answer: (B)


Question: The average of four results is 222 and that of the first three is 219. The fourth result is?\nOptions:\n(A) 231\n(B) 201\n(C) 85\n(D) 192\n(E) 215

Answer: (A)


Question: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis\nOptions:\n(A) 2\n(B) 3\n(C) 4\n(D) 5\n(E) 6

Answer: (C)


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) 2800\n(B) 2500\n(C) 2700\n(D) 3000\n(E) 3500

Answer: (A)


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 650?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (D)


Question: The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 2500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 29997\n(B) 28088\n(C) 27098\n(D) 37500\n(E) 2799

Answer: (D)

Money paid in cash = Rs. 2500\nBalance payment = (40000- 2500) = Rs. 37500.


Question: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 175kg then find the average weight of all the 7 rounds?\nOptions:\n(A) 100 kgs\n(B) 88.5 kgs\n(C) 86.5 kgs\n(D) 67.5 kgs\n(E) 88.2 kgs

Answer: (A)


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?\nOptions:\n(A) 220060\n(B) 145778\n(C) 220050\n(D) 220800\n(E) 220030

Answer: (C)


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

Answer: (B)


Question: In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader?\nOptions:\n(A) 22\n(B) 15\n(C) 77\n(D) 17\n(E) 11

Answer: (B)

Assume total students in the class = 100\nThen Girls = 60% (100) = 60\nPoor girls = 25% (60) = 15\nSo probability that a poor girls is selected leader = Poor girls / Total students = 15/100 = 15%


Question: Four of the following five are alike in a certain way and so form a group. which one does not belong to that group?\nOptions:\n(A) Tooth\n(B) Chin\n(C) Nose\n(D) Eye\n(E) Hand

Answer: (B)


Question: How long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length?\nOptions:\n(A) 28\n(B) 16.0\n(C) 16.4\n(D) 16.8\n(E) 16.1

Answer: (A)


Question: Find the mean proportional between 81 & 100?\nOptions:\n(A) A) 59\n(B) B) 61\n(C) C) 63\n(D) D) 65\n(E) E) 90

Answer: (E)


Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.\nOptions:\n(A) 150 m\n(B) 145 m\n(C) 100 m\n(D) 135 m\n(E) 155 m

Answer: (C)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 6 = 100 meter


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

Answer: (E)


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

Answer: (C)

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


Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 4 hours. Harvesting machine K harvested how many acres of wheat per hour?\nOptions:\n(A)  7\n(B)  8\n(C)  11\n(D)  13\n(E)  15

Answer: (C)

Rate of H = 4 acres/hr\nRemaining land to be harvested = 100 - 40 = 60\nRate of H and K = 60/4 = 15 acres/hr\nRate of K = 15- 4 = 11


Question: The price of a T.V. set worth Rs. 10000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 9000\n(B) 26699\n(C) 96000\n(D) 19000\n(E) 26711

Answer: (A)

Money paid in cash = Rs. 1000\nBalance payment = (10000 - 1000) = Rs. 9000


Question: Which of the following is equal to the average (arithmetic mean) of (x+1)^2 and (x-1)^2?\nOptions:\n(A) x^2\n(B) x^2+1\n(C) x^2 +4\n(D) x^2+2x\n(E) x^2+4x

Answer: (B)


Question: Find the wrong number below mentioned series\n13,60,100,500,850\nOptions:\n(A) 13\n(B) 60\n(C) 100\n(D) 500\n(E) 850

Answer: (A)

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


Question: How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?\nOptions:\n(A) 496\n(B) 486\n(C) 1084\n(D) 728\n(E) 628

Answer: (D)

The number of single digit numbers = 2\nThe number of 2 digit numbers = 2 × 3 = 6\nThe number of 3 digit numbers = 2 × 3 × 3 = 18\nThe number of 4 digit numbers = 2 × 3 × 3 × 3 = 54\nThe number of 5 digit numbers = 2 × 3 × 3 × 3 × 3 = 162\nThe number of 6 digit numbers = 2 × 3 × 3 × 3 × 3 × 3 = 486\nTherefore, the total numbers = 728


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 2/7%\n(C) 6 2/2%\n(D) 6 3/3%\n(E) 6 5/3%

Answer: (A)


Question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?\nOptions:\n(A) 8 hrs 85 min\n(B) 8 hrs 18 min\n(C) 8 hrs 15 min\n(D) 6 hrs 15 min\n(E) 3 hrs 15 min

Answer: (C)

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


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -\nOptions:\n(A) 1/5\n(B) 1/3\n(C) 1/4\n(D) 118/2\n(E) 21/4

Answer: (C)

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


Question: If 10 crates have 94 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 60

Answer: (E)

Each crate requires 6 apples and totally there are 10 crates so required apples = 10 * 6 = 60


Question: 80 ? 860 1550 2440 3530\nOptions:\n(A) 370\n(B) 840\n(C) 750\n(D) 860\n(E) 960

Answer: (A)


Question: The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph

Answer: (D)

Speed downstream = 80 + 20 = 100 kmph\nSpeed upstream = 80 - 20 = 60 kmph


Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:\nOptions:\n(A) 276\n(B) 299\n(C) 322\n(D) 345\n(E) 355

Answer: (C)

Clearly, the numbers are (23 * 13) and (23 * 14). Larger number = (23 * 14) = 322.


Question: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?\nOptions:\n(A) 450m\n(B) 200m\n(C) 250m\n(D) 270m\n(E) 300 m

Answer: (A)


Question: (4300731)-! = 2535618. Find value of !?\nOptions:\n(A) 1213441\n(B) 2354546\n(C) 4354556\n(D) 2435454\n(E) 1765113

Answer: (E)


Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?\nOptions:\n(A) a)  65/9\n(B) b) 7\n(C) c)  25\n(D) d)  45\n(E) e)  81

Answer: (B)

The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate.


Question: Look at this series: 2, 4, 6, 8, 10, ... What number should come next?\nOptions:\n(A) 11\n(B) 12\n(C) 14\n(D) 15\n(E) 16

Answer: (B)

This is a simple addition series. Each number increases by 2.


Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?\nOptions:\n(A) 220\n(B) 250\n(C) 276\n(D) 320\n(E) 360

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 4567\n(B) 3435\n(C) 5667\n(D) 4567\n(E) 5184

Answer: (E)


Question: Find the largest 6 digit number which is exactly divisible by 88?\nOptions:\n(A) 998765\n(B) 998907\n(C) 999944\n(D) 999954\n(E) 999990

Answer: (C)

Largest 6 digit number is 999999\nAfter doing 999999 ÷ 88 we get remainder 55\nHence largest 6 digit number exactly divisible by 88 = 999999 - 55 = 999944


Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\nOptions:\n(A) 3377\n(B) 2688\n(C) 2688\n(D) 8112\n(E) 1268

Answer: (D)


Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 390 m long?\nOptions:\n(A) 40 sec\n(B) 60 sec\n(C) 45 sec\n(D) 48 sec\n(E) 50 sec

Answer: (B)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 750 m\nRequired time = 750 * 2/25 = 40 sec


Question: he population of a city is 140,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 1797787\n(B) 1597723\n(C) 159776\n(D) 159728\n(E) 157304

Answer: (E)


Question: The average marks of a Suresh in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest?\nOptions:\n(A) 55\n(B) 60\n(C) 62\n(D) 52\n(E) Cannot be determined

Answer: (B)

Total marks of 10 papers = 80 x 10 = 800\nTotal marks of 8 papers = 81 x 8 = 648\nTotal marks of two papers = (800 - 648) = 152\nIf highest total is 92, then the lowest total is\n(152 - 92) = 60.


Question: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 60 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 3/5\n(C) 3/20\n(D) 1/5\n(E) 1/10

Answer: (C)


Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 20 as remainder. Find the no. is?\nOptions:\n(A) 122456\n(B) 220020\n(C) 220022\n(D) 235467\n(E) 220026

Answer: (B)


Question: If x is an odd integer, which of the following is an odd integer?\nOptions:\n(A) 2x\n(B) 3x-1\n(C) 5x+6\n(D) x+x^2\n(E) 6x-6

Answer: (C)


Question: A racng car travels k kilometres in n hours. How many miles will it travel in x hours at the same rate?\nOptions:\n(A) knx\n(B) k⁄n\n(C) kn⁄x\n(D) kx\n(E) kx⁄n

Answer: (E)

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


Question: The average of first six prime numbers greater than 65 is?\nOptions:\n(A) 55\n(B) 77\n(C) 56\n(D) 67\n(E) 98

Answer: (B)


Question: A man rows his boat 105 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 5 kmph\n(B) 7 kmph\n(C) 12 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (C)

Speed downstream = d/t = 105/(2 1/2) = 42 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (42 - 18)/2 = 12 kmph


Question: There are 10 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) 675\n(D) 180\n(E) 200

Answer: (C)

Number of ways of selecting 2 fiction books = 10C2\nNumber of ways of selecting 2 non fiction books = 6C2\n10C2 * 6C2 = 45 * 15 = 675


Question: 3 workers transfer a tool weighing 120kg in 12 seconds. How many men are required to transfer it in 9 seconds?\nOptions:\n(A) 4\n(B) 5\n(C) 6\n(D) 7\n(E) 8

Answer: (A)


Question: An seller earns an income of Re 3 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 15th day of business, he earns an income of:\nOptions:\n(A) 19\n(B) 22\n(C) 25\n(D) 20\n(E) 36

Answer: (E)

2nd day he earns = 3(2 – 3)\n3rd day he earns = 3(3 – 3)\nOn 15th day he earns 3(15 -3) = 36 rupees


Question: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina\nOptions:\n(A) 5/56\n(B) 9/56\n(C) 15/56\n(D) 35/120\n(E) 25/56

Answer: (D)

Number of ways of selecting 4 people out of 9 people = 9C4\nIn the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Nina = 7\nNumber of ways to form a 4 member team that includes George and excludes Nina = 7C3\nProbability = 7C3/9C4 = 35/120


Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?\nOptions:\n(A) 3/4\n(B) 7/8\n(C) 1/4\n(D) 1/8\n(E) 1/16

Answer: (A)

Left After 1st stroke = 1/2\nLeft After 2nd stroke = 1/2 * 1/2 = 1/4\nSo removed = 1- 1/4 = 3/4


Question: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?\nOptions:\n(A) 2\n(B) 4\n(C) 5\n(D) 7\n(E) 3

Answer: (E)

Speed = 18 * 5/18 = 5 m/sec\nTime taken = 900/5 = 180 sec ie. 3 mins.


Question: Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers.\nSam: I don't know what the numbers are Pete.\nPete: I knew you didn't know the numbers... But neither do I.\nSam: In that case, I do know the numbers.1\nWhat are the numbers?\nOptions:\n(A) 1-2\n(B) 1-3\n(C) 2-4\n(D) 3-4\n(E) 2-3

Answer: (D)

Since Sam knows the sum of the numbers (x + y) he would only know the answer immediately if the sum was 4 (2 + 2) or 5 (3 + 2). Then when Pete (who knows x*y) knew that Sam didn't know the answer the product must have several numbers that add up to the sum (7 = 3 + 4, 7 = 5 + 2). When Pete doesn't know the answer at this point we know the product must have more than one pair of viable factors (12 = 3 * 4, 12 = 6 * 2). At this point Sam knows the numbers are 3 and 4 because they are the only numbers that meet these criteria.


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) 128\n(B) 150\n(C) 887\n(D) 279\n(E) 771

Answer: (B)


Question: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.\nOptions:\n(A) 3\n(B) 2\n(C) 1\n(D) 4\n(E) 5

Answer: (B)

Rule of Subtraction: P(A) = 1 - P(A')\nRule of Multiplication: P(A ∩ B) = P(A) P(B)\nThe probability that the pitcher throws a strike at least once in 2 guesses is 1- (3/5)^2 = 1 - 9/25 = 16/25 > 50%.


Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 410 m long?\nOptions:\n(A) 33 Seconds\n(B) 22 Seconds\n(C) 41 Seconds\n(D) 24 Seconds\n(E) 29 Seconds

Answer: (A)

Distance travelled = 140 + 410m = 550m\nSpeed = 60 * 5/8 = 50/3m\nTime = 550 * 3/50 = 33 Seconds


Question: An businessman earns an income of Re 2 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:\nOptions:\n(A) 21\n(B) 22\n(C) 36\n(D) 20\n(E) 30

Answer: (C)

2nd day he earns = 2(2 – 2)\n3rd day he earns = 2(3 – 2)\nOn 20th day he earns 2(20 -2) = 36 rupees


Question: For a particular American football game, the probability of a team's quarterback throwing a completed pass on each throw is 3/10. What is the least number of times that the quarterback should throw the ball that will increase the probability of getting a completed pass at least once to more than 50%.\nOptions:\n(A) 10\n(B) 5\n(C) 2\n(D) 3\n(E) 1

Answer: (C)

Rule of Subtraction: P(A) = 1 - P(A')\nRule of Multiplication: P(A ∩ B) = P(A) P(B)\nThe probability that the quarterback throws a completed pass at least once in 2 throws is 1- (7/10)^2 = 1 - 49/100 = 51/100 > 50%


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2134\n(B) 2245\n(C) 3450\n(D) 4500\n(E) 5184

Answer: (E)


Question: How much more would Rs.10000 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) 241\n(B) 725\n(C) 992\n(D) 837\n(E) 923

Answer: (A)


Question: There are 20 balls in a box: 11 balls are green, 6 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a green ball is selected at random from the box?\nOptions:\n(A) 1/13\n(B) 10/18\n(C) 3/13\n(D) 5/13\n(E) 6/13

Answer: (B)

If 1 green and 1 blue ball are taken from the box, then there are 10 green, 5 blue and 3 white balls, a total of 18 balls. If one ball is selected at random, the probability that it is green is given by 10 / 18


Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have\nOptions:\n(A)  4\n(B)  6\n(C)  9\n(D)  10\n(E)  12

Answer: (A)

To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides


Question: The average of five results is 46 and that of the first four is 45. The fifth result is?\nOptions:\n(A) 29\n(B) 27\n(C) 29\n(D) 50\n(E) 81

Answer: (D)


Question: Jade has 4 flavors of ice cream in his parlor. How many options are there for James to pick a one-flavor, two-flavor, three-flavor or four-flavor order?\nOptions:\n(A) 15\n(B) 13\n(C) 14\n(D) 17\n(E) 18

Answer: (A)


Question: If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\nOptions:\n(A) 288\n(B) 162\n(C) 145\n(D) 135\n(E) 130

Answer: (D)

10 m/s = 10 * 18/5 kmph\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\nDistance = speed * time = 10 * 18/5 * 15/4 km = 135 km.


Question: Find the average of the series : 312, 162, 132, 147 and 122?\nOptions:\n(A) 170\n(B) 175\n(C) 180\n(D) 185\n(E) 195

Answer: (B)


Question: What percent is 70 of 280?\nOptions:\n(A) 12 %\n(B) 25 %\n(C) 26 %\n(D) 27 %\n(E) 28 %

Answer: (B)


Question: A train 250 m long running at 72 kmph crosses a platform in 15 sec. What is the length of the platform?\nOptions:\n(A) 50m\n(B) 200m\n(C) 250m\n(D) 270m\n(E) 300 m

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) 5 kmph\n(B) 7 kmph\n(C) 9 kmph\n(D) 8 kmph\n(E) 1 kmph

Answer: (C)

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: A 120 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 229\n(B) 108\n(C) 278\n(D) 72\n(E) 112

Answer: (D)


Question: Sixteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of three members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?\nOptions:\n(A) 120\n(B) 126\n(C) 252\n(D) 560\n(E) 1260

Answer: (D)


Question: Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the number's sum will be 13?\nOptions:\n(A) 3/14\n(B) 2/7\n(C) 1/3\n(D) 1/42\n(E) 12/21

Answer: (D)

Both Dice addition result is 13 = (6+7)\nProbability that the number on first die is 6 = 1/6\nProbability that the number on Second die is 7 = 1/7\nProbability that Both Dice addition result is 13 = 1/6 * 1/7 = 1/42


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\n(B) 150\n(C) 277\n(D) 258\n(E) 191

Answer: (A)

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


Question: There are 6 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) 225\n(D) 180\n(E) 200

Answer: (C)

Number of ways of selecting 2 fiction books = 6C2\nNumber of ways of selecting 2 non fiction books = 6C2\n6C2 * 6C2 = 15 * 15 = 225


Question: In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 6\n(E) 8

Answer: (B)

7f/30 tells us that f is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.


Question: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\nOptions:\n(A) 29\n(B) 78\n(C) 30\n(D) 28\n(E) 12

Answer: (C)


Question: At a meeting of the 8 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 8 Chiefs of Staff be seated around a circular table?\nOptions:\n(A) 120\n(B) 480\n(C) 960\n(D) 2520\n(E) 5080

Answer: (E)

Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (5080), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect?


Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?\nOptions:\n(A) 277\n(B) 810\n(C) 888\n(D) 166\n(E) 199

Answer: (C)


Question: Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\nOptions:\n(A) 387\n(B) 736\n(C) 300\n(D) 345\n(E) 635

Answer: (C)


Question: A no.when divided by 225 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 2\n(B) 7\n(C) 9\n(D) 11\n(E) 13

Answer: (E)


Question: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 7851\n(B) 8902\n(C) 9944\n(D) 9578\n(E) 9734

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: The average of first 10 odd numbers is?\nOptions:\n(A) 11\n(B) 10\n(C) 99\n(D) 77\n(E) 65

Answer: (B)

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


Question: A class consists of 100 students, 25 of them are girls and 75 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) 1/50\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: 40/100 = 2/5\nThree are independent;probability of rich and fair complexioned girl is:\n(1/4) ×(1/5) × (2/5) = 1/50


Question: A train 250 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?\nOptions:\n(A) 150m\n(B) 200m\n(C) 250m\n(D) 270m\n(E) 300 m

Answer: (C)


Question: a piece of ribbon 4 yard long is used to make bows requiring 15 inches of ribbon for each.What is the maximum number of bows that can be made.\nOptions:\n(A) 9\n(B) 8\n(C) 7\n(D) 6\n(E) 5

Answer: (A)

1 yard = 36 Inch\n4 yard = 36*4 = 144 inch\n15 inch req. for 1 bow\nMax. no. of bows possible = 144/15 = 9 bows and 9 inch ribbon left.


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together i\nOptions:\n(A) 1/6\n(B) 1/0\n(C) 1/5\n(D) 1/2\n(E) 1/1

Answer: (C)

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


Question: Find the odd man out 3, 5, 7, 12, 13, 17, 19\nOptions:\n(A) 3\n(B) 5\n(C) 7\n(D) 12\n(E) 13

Answer: (D)

12 is an even number while the others are od


Question: In case O 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) P and Q\n(E) T and U

Answer: (D)


Question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 228\n(B) 144\n(C) 1266\n(D) 188\n(E) 211

Answer: (B)


Question: If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) f(x) \n(B) 1/-f(x) \n(C) -2/-f(x) \n(D) -3/-f(x) \n(E) -f(x)

Answer: (E)

If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x)


Question: How much more would Rs.40000 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) 964\n(D) 837\n(E) 923

Answer: (C)


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) 26\n(B) 27\n(C) 29\n(D) 32\n(E) 36

Answer: (B)

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


Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length?\nOptions:\n(A) 18.9 sec\n(B) 88.9 sec\n(C) 22.9 sec\n(D) 30.00 sec\n(E) 72.0 sec

Answer: (D)


Question: If P(A) = 8/15, P(B) = 4/15, and P(A âˆª B) = 16/15 Find P(B|A)\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/2\n(D) 2\n(E) 4/7

Answer: (D)


Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\nOptions:\n(A) 22 1/2 %\n(B) 22%\n(C) 21 %\n(D) 30%\n(E) 40 %

Answer: (A)


Question: If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y?\nPlease try to explain your answers\nOptions:\n(A) 0\n(B) 20\n(C) 50\n(D) 75\n(E) 100

Answer: (B)

First even minus first odd = 2-1 = 1;\nThe sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;\nThe sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;\nWe can see the patterns here, so the sum of first 20 positive even integers minus the sum of first 20 positive odd integers will be 20.


Question: Mice can multiply very fast. Adult mice can give birth once every month, and baby mice grow into adult mice in just two months after they are born. If you would buy a baby mouse just after it was born, how many mice would you have in 10 months?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5

Answer: (A)

One. You cannot have more mice if you start with one!


Question: The average age of a family of 6 members is 24 years.If the age of the youngest member is 8 years,what was the average age of the family at the birth of the youngest member?\nOptions:\n(A) 15\n(B) 16\n(C) 21\n(D) 12\n(E) 19

Answer: (B)

Present age of total members = 6 X 24 = 144\n8 yrs back their ages were = 6 x 8 = 48\nAges at the birth of youngest member = 144 - 48 = 96\nTherefore, avg age at the birth of youngest member = 96/6 = 16.


Question: List K consists of 10 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 11\n(E) 4

Answer: (E)

Answer = E = 4\nIf least = -4, then largest = 5\nRange = 5 - 1 = 4


Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train?\nOptions:\n(A) 150\n(B) 872\n(C) 250\n(D) 288\n(E) 212

Answer: (C)

Speed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 15 = 250 meter


Question: Scotty B is helping his brother Jimmy B with math patterns. Jimmy's paper has 12, 24, 36, 48, and a blank space.\nWhat number should Jimmy B put in the blank space?\nOptions:\n(A) 50\n(B) 58\n(C) 60\n(D) 62\n(E) 96

Answer: (C)

C) 60- because the pattern is adding 12 each time.


Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2567\n(B) 3589\n(C) 3789\n(D) 4890\n(E) 5184

Answer: (E)


Question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 11/15 Find P(A|B)\nOptions:\n(A) 11/4\n(B) 2/3\n(C) 3/2\n(D) 4/5\n(E) 4/7

Answer: (A)


Question: 25 children are going to a picnic. What is the smallest number of cakes that must be brought to the picnic so that each child receives the same number of cakes?\nOptions:\n(A) 35\n(B) 40\n(C) 15\n(D) 75\n(E) 9

Answer: (D)

The number of children going to the picnic are 25\nThe answer will be D because only 75 is divisible by 25


Question: One man selling a lottery there are 10 prizes and 25 no prizes. if a lottery is drawn randomly, What is the probability of getting a prize?\nOptions:\n(A) 1/5\n(B) 2/7\n(C) 2/9\n(D) 3/11\n(E) 4/11

Answer: (B)


Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 2700, then his salary per month in rupees is:\nOptions:\n(A) 4000\n(B) 6000\n(C) 18000\n(D) 10000\n(E) None of these

Answer: (C)


Question: Which one of the following is a prime number?\nOptions:\n(A) 45\n(B) 90\n(C) 81\n(D) 29\n(E) 91

Answer: (D)

73 is divisible by 1 and itself So, it is a prime number.


Question: How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?\nOptions:\n(A) 120\n(B) 150\n(C) 160\n(D) 180\n(E) 200

Answer: (C)

8:12 = 2:3\nIf 240 lrs of the 2nd variety taken then the 1st variety should be taken as 160 lr


Question: The length of each side of an equilateral triangle having an area of 4√3 cm2 is?\nOptions:\n(A) 1/8\n(B) 1/9\n(C) 1/5\n(D) 1/23\n(E) 1/2

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: A and B complete a work in 9 days. A alone can do it in 18 days. If both together can do the work in how many days?\nOptions:\n(A) 6 days\n(B) 8 days\n(C) 5 days\n(D) 7 days\n(E) 15 days

Answer: (A)


Question: Count the two-digit whole numbers which yield a remainder of 5 when divided by 10 and also yield a remainder of 0 when divided by 3?\nOptions:\n(A) Two\n(B) Five\n(C) Three\n(D) One\n(E) Six

Answer: (C)

Answer = C) Three\nTwo digit Numbers giving remainder 5 when divided by 10 = 15, 25, 35, 45, 55, 65, 75, 85, 95\nThe numbers giving remainder 0 when divided by 3 = 15, 45, 75 = 3


Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 47%\n(C) 57%\n(D) 60%\n(E) 62%

Answer: (C)


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) 22 sec\n(C) 27 sec\n(D) 17 sec\n(E) 37 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: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?\nOptions:\n(A) 1000\n(B) 992\n(C) 772\n(D) 552\n(E) 312

Answer: (A)


Question: In what time a sum of money double itself at 8% per annum simple interest?\nOptions:\n(A) 33 1/8%\n(B) 33 1/3%\n(C) 83 1/3%\n(D) 33 4/3%\n(E) 12 1/2%

Answer: (E)


Question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/9\n(B) q/5\n(C) q/6\n(D) q/7\n(E) q/8

Answer: (A)

Profit = q\nProfit to company founder = 2q/3\nProfit to other partners = q/3\nNumber of other partners = 3\nProfit to each partner = (q/3)/3 = q/9


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

Answer: (C)

The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m\nNo. of days required to paint 36 m cloth by 6 men = 36/ 6 × 2 = 3 day.


Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is\nOptions:\n(A) 1/9\n(B) 1/7\n(C) 1/5\n(D) 1/6\n(E) 1/3

Answer: (C)

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


Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 210 m long?\nOptions:\n(A) 34 Seconds\n(B) 22 Seconds\n(C) 21 Seconds\n(D) 24 Seconds\n(E) 29 Seconds

Answer: (C)

Distance travelled = 140 + 210m = 350m\nSpeed = 60 * 5/8 = 50/3m\nTime = 350 * 3/50 = 21 Seconds


Question: If N is the least positive integer that is divisible by every integer from 3 to 10 inclusive, then N/7 is =\nOptions:\n(A)  360\n(B)  720\n(C)  2520\n(D)  3960\n(E)  6720

Answer: (A)

The integer should be divisible by: 3, 4, 5, 6, 7, 8, 9 and 10, that is 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, N/7 is (7 * 5 * 3^2 * 2^3)/7 = 5*9*8 = 360.


Question: A 360 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\nOptions:\n(A) 229\n(B) 108\n(C) 278\n(D) 216\n(E) 112

Answer: (D)


Question: A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15?\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14

Answer: (B)


Question: A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\nOptions:\n(A) 32\n(B) 56\n(C) 29\n(D) 27\n(E) 21

Answer: (B)


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

Answer: (B)


Question: Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/280\n(C) 3/280\n(D) 4/56\n(E) 77/280

Answer: (E)


Question: A 600 meter long train crosses a signal post in 50 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\nOptions:\n(A) 4 min\n(B) 2 min\n(C) 8 min\n(D) 9 min\n(E) 5 min

Answer: (E)


Question: How much is 80% of 40 is greater than 4/5 of 25?\nOptions:\n(A) 29\n(B) 776\n(C) 66\n(D) 12\n(E) 99

Answer: (D)


Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 30 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 60 minutes\n(D) 27 minutes\n(E) 11 minutes

Answer: (C)


Question: Which of the following is not divisible by 4?\nOptions:\n(A) 10236\n(B) 21792\n(C) 47816\n(D) 91232\n(E) 72034

Answer: (E)

Divisibility rule of 4: Last two digits of the number should be divisible by 4\nOption A: 10236, last two digits = 36. Divisible by 4\nOption B: 21792, last two digits = 92. Divisible by 4\nOption C: 47816, last two digits = 16. Divisible by 4\nOption D: 91232, last two digits = 32. Divisible by 4\nOption E: 72034, last two digits = 34. Not divisible by 4. Hence 72034 is not divisible by 4


Question: If 2^4, 3^3, and 13^3 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) 198\n(B) 288\n(C) 363\n(D) 396\n(E) 468

Answer: (E)

I will go with E (pending elements to match is 2^2*3^2*13^1 = 468


Question: What percent is 120 of 70?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 171 3/7 %

Answer: (E)


Question: Find the smallest number which should be multiplied with 520 to make it a perfect square.\nOptions:\n(A) 30\n(B) 120\n(C) 55\n(D) 35\n(E) None of these

Answer: (E)

520 = 26 * 20 = 2 * 13 * 22 * 5 = 23 * 13 * 5\nRequired smallest number = 2 * 13 * 5 = 130\n130 is the smallest number which should be multiplied with 520 to make it a perfect squar


Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 170 m and 100 m respectively. The time they will take to pass each other completely is?\nOptions:\n(A) 3 sec\n(B) 8 sec\n(C) 9 sec\n(D) 5 sec\n(E) 7 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) 356\n(B) 278\n(C) 127\n(D) 279\n(E) 150

Answer: (E)

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


Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:\nOptions:\n(A) 15\n(B) 18\n(C) 20\n(D) 22\n(E) 24

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) 2\n(B) 5\n(C) 8\n(D) 9\n(E) 10

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: An enterprising businessman earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 20th day of business, he earns an income of:\nOptions:\n(A) Rs 219\n(B) Rs 220\n(C) Rs 20²\n(D) Rs 20\n(E) Rs 30

Answer: (A)

2nd day he earns = 2 = 2(2 – 1)\n3rd day he earns = 2(3 – 1)\nOn 20th day he earns 2(20 -1) = 219 rupees


Question: A train running at the speed of 50 km/hr crosses a pole in 18 seconds. Find the length of the train.\nOptions:\n(A) 150\n(B) 188\n(C) 250\n(D) 288\n(E) 300

Answer: (C)

Speed = 50*(5/18) m/sec = 125/9 m/sec\nLength of Train (Distance) = Speed * Time\n(125/9) * 18 = 250 meter


Question: Find a a prime number the options below.\nOptions:\n(A) 78\n(B) 80\n(C) 81\n(D) 82\n(E) 83

Answer: (E)


Question: What should come in place of the question mark (?) in the following equation?\n9568 – 6548 – 1024 = ?\nOptions:\n(A) 2086\n(B) 1996\n(C) 2293\n(D) 1896\n(E) None of these

Answer: (B)


Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of B?\nOptions:\n(A) 2880\n(B) 3000\n(C) 3018\n(D) 3019\n(E) 3012

Answer: (A)


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) 3\n(D) 5\n(E) 6

Answer: (B)

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


Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?\nOptions:\n(A) 9\n(B) 8\n(C) 5\n(D) 5\n(E) 4

Answer: (A)


Question: A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??\nOptions:\n(A) 30 years\n(B) 40 years\n(C) 45 years\n(D) 50 years\n(E) 60 years

Answer: (C)

If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years.


Question: The average of first 15 natural numbers is?\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11

Answer: (B)


Question: How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.\nOptions:\n(A) 1875\n(B) 2000\n(C) 2375\n(D) 2500\n(E) 3875

Answer: (C)

Number of combo with 4 as first digit + Number of combos with 4 as second digit = 1*4*5*5*5 + 3*5*5*5 = 2375


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) 19 1/7 min\n(B) 15 1/7 min\n(C) 17 1/7 min\n(D) 7 1/7 min\n(E) 7 2/7 min

Answer: (C)


Question: There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\nOptions:\n(A) 39\n(B) 40\n(C) 51\n(D) 58\n(E) 63

Answer: (B)


Question: An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\nOptions:\n(A) 104/105\n(B) 119/120\n(C) 139/140\n(D) 9/10\n(E) 14/15

Answer: (B)

The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\nThe probability that she misses all shots = (prob that she misses from 30 yards)*(prob that she misses from 40 yards)*(prob that she misses from 50 yards)\nProb that she misses from 30 yards = 1 - 5/6 = 1/6; Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4\nThus the probability that she misses all shots = (1/6)*(1/5)*(1/4) = 1/120\nThus the probability that she makes at least one shot = 1 - (1/120) = 119/120


Question: Which one of the following is the least number of four digits divisible by 71?\nOptions:\n(A) 1006\n(B) 1065\n(C) 1094\n(D) 1056\n(E) 1057

Answer: (B)


Question: How many positive integers less than 60 have a reminder 01 when divided by 4?\nOptions:\n(A) 13\n(B) 14\n(C) 15\n(D) 16\n(E) 17

Answer: (C)

1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers.


Question: Find 96 ×× 98\nOptions:\n(A) 93/198\n(B) 93/12\n(C) 93/13\n(D) 93/10\n(E) 93/8

Answer: (E)

Here both numbers are less than 100. So they are deficient of - 4 and - 1 compared with 100. So


Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 6\n(E) 7

Answer: (A)

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


Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 2\n(B) 7\n(C) 9\n(D) 11\n(E) 15

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 1/6 sec\n(B) 7 3/2 sec\n(C) 7 1/7 sec\n(D) 7 1/2 sec\n(E) 3 3/2 sec

Answer: (D)


Question: Fill in the blank with the correct number in this number series: 5, 15, 7, 12, __, 9, 11,... ?\nOptions:\n(A) 6\n(B) 9\n(C) 8\n(D) 7\n(E) 5

Answer: (B)

In this simple alternating subtraction and addition series; The first series begins with 5 and adds 2; the second begins with 15 and subtracts 3, and so on.


Question: Anmol can eat 27 pastries in a hour.\nAakriti can eat 2 pastries in 10 minutes.\nDivya can eat 7 pastries in 20 minutes.\nHow long will it take them to eat a 300 pastries ?\nOptions:\n(A) 2 hours.\n(B) 1 hours.\n(C) 5 hours.\n(D) 4 hours.\n(E) 3 hours.

Answer: (C)

In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 300 pastries would take 300 ÷ 60 = 5 hours.


Question: The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?\nOptions:\n(A) Rs.17\n(B) Rs.76\n(C) Rs.15\n(D) Rs.72\n(E) Rs.71

Answer: (C)

Total members in the group = 7\nAverage amount = Rs. 20\nTotal amount with them = 7 * 20 = Rs. 140\nOne number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90\nThe average amount with them = 90/6 = Rs. 15.


Question: Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?\nOptions:\n(A) 5 7/3 days\n(B) 7 1/3days\n(C) 5 1/9 days\n(D) 5 7/3 days\n(E) 4 7/9 days

Answer: (B)


Question: An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?\nOptions:\n(A) 6/13\n(B) 5/26\n(C) 6/26\n(D) 9/26\n(E) 10/27

Answer: (B)

Option(B) is correct\nP(Both are red), 6C2/13C2 = 5/26


Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 349\n(B) 349\n(C) 342\n(D) 346\n(E) 344

Answer: (C)


Question: Using all the letters of the word "THURSDAY", how many different words can be formed?\nOptions:\n(A) 7\n(B) 8!\n(C) 9\n(D) 3\n(E) 1

Answer: (B)

Total number of letters = 8\nUsing these letters the number of 8 letters words formed is ⁸P₈ = 8!.


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) 54 sec\n(B) 65 sec\n(C) 25 sec\n(D) 45 sec\n(E) 24 sec

Answer: (C)


Question: A shipment of 8 TV sets contains 5 black and white sets and 3 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) 25/28\n(E) 13/28

Answer: (D)


Question: John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 18%\n(D) 21%\n(E) 40%

Answer: (E)


Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?\nOptions:\n(A) 17/91\n(B) 33/91\n(C) 51/91\n(D) 65/91\n(E) None of these

Answer: (B)

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91


Question: If x<0, y<0, and |x| > |y|, which of the following must be true?\nOptions:\n(A) x > y\n(B) y^2 > x^2\n(C) x^3 > y^2\n(D) x < y\n(E) x < –y

Answer: (D)

Correct Answer: (E)\nLet’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus x < y is the same statement as |x| > |y|, and (D) must be true.


Question: What should come in place of the question mark (?) in the following equation?\n90000 + 5010 = 87050 + ?\nOptions:\n(A) 7960\n(B) 7554\n(C) 8465\n(D) 4578\n(E) 4689

Answer: (A)


Question: A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?\nOptions:\n(A) 4 metre\n(B) 12 metre\n(C) 240 metre\n(D) 2400 metre\n(E) 130 metre

Answer: (C)

Number of times wheel moves in 1 hour = 20 * 60 = 1200\n:. Distance moves = (1200*20) cms = 24000 cms\nIn metres = 240 metre


Question: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?\nOptions:\n(A) 23\n(B) 30\n(C) 42\n(D) 60\n(E) 126

Answer: (D)

Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3\nOut of 3 forwards we have to select 2 -> selection means we use C -> so 3C2\nTotal ways = 6C3 x 3C2 = 60


Question: John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?\nOptions:\n(A) 16%\n(B) 16.66%\n(C) 17.9%\n(D) 18.12%\n(E) 100%

Answer: (E)


Question: X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 3\n(B) 5\n(C) 6\n(D) 8\n(E) 9

Answer: (D)

Work done by X in 1 day = 1/20\nWork done by Y in 1 day = 1/15\nWork done by Y in 9 days = 9/15 = 3/5\nRemaining work = 1 – 3/5 = 2/5\nNumber of days in which X can finish the remaining work = (2/5) / (1/20) = 8


Question: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.\nOptions:\n(A) 150 m\n(B) 50 m\n(C) 75 m\n(D) 135 m\n(E) 60 m

Answer: (B)

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


Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 114 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?\nOptions:\n(A) 27\n(B) 26\n(C) 42\n(D) 64\n(E) 147

Answer: (B)

112 ounces of a substance has a volume of 48 cubic inches\n63 ounces of a substance has a volume of (48/114)*63 = 26 cubic inches


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) 2 kmph.\n(B) 4 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: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer.\nOptions:\n(A) (x + 2y) (3x + 2y) \n(B) (x + 2y) 2 + 2x(x + 2y) \n(C) (3x + 2y) 2 – 2x(3x + 2y) \n(D) 3x(x + 2y)  + 2y(x + 2y) \n(E) x(3x + 2y)  – 2y(3x – 2y)

Answer: (E)


Question: Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?\nOptions:\n(A) 8\n(B) 14\n(C) 43\n(D) 44\n(E) 9

Answer: (B)

Answer: Option B\nThis is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2.


Question: Which of the following is equal to the average (arithmetic mean) of (x+5)^2 and (x-5)^2?\nOptions:\n(A) x^2\n(B) x^2+2\n(C) x^2 +30\n(D) x^2+20\n(E) x^2+25

Answer: (E)


Question: A cricket bat is sold for $850, making a profit of $245. The profit percentage would be\nOptions:\n(A) 24%\n(B) 25%\n(C) 30%\n(D) 36%\n(E) 40%

Answer: (E)


Question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2 days\n(C) 4 4/5 days\n(D) 3 days\n(E) 9 days

Answer: (C)

Work done by A in 2 days = 2/10 = 1/5\nRemaining work = 4/5\nWork done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6\nRemaining work = 4/5 * 6/1 = 24/5 = 4 4/5 days.


Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?\nOptions:\n(A) 277\n(B) 266\n(C) 300\n(D) 767\n(E) 211

Answer: (C)


Question: The average of first 10 even numbers is?\nOptions:\n(A) 18\n(B) 16\n(C) 15\n(D) 11\n(E) 19

Answer: (D)

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


Question: The average of seven numbers is 4. The average of first three numbers is 2 and the average of last three numbers is 6. What is the middle number?\nOptions:\n(A) 3\n(B) 4\n(C) 6\n(D) 7\n(E) 8

Answer: (B)

The total of seven numbers = 7X4 = 28\nThe total of first 3 and last 3 numbers is = 3 X 2+3 X 6 = 24\nSo, the middle number is (28 - 24 ) = 4


Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?\nOptions:\n(A) 297\n(B) 268\n(C) 300\n(D) 179\n(E) 172

Answer: (C)


Question: A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 3 kmph\n(E) 1 kmph

Answer: (D)

Speed downstream = d/t = 75/(5) = 15 kmph\nSpeed upstream = d/t = 45/(5) = 9 kmph\nThe speed of the stream = (15 - 9)/2 = 3 kmph


Question: The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/48\n(C) 1/98\n(D) 3/350\n(E) 1/68

Answer: (D)


Question: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?\nOptions:\n(A) 2568\n(B) 3468\n(C) 4500\n(D) 4876\n(E) 5184

Answer: (E)


Question: What is the next number of the following sequence.\n8, 8, 6, 2,.... ?\nOptions:\n(A) -4\n(B) -5\n(C) -6\n(D) -7\n(E) -8

Answer: (A)


Question: What is the least value of integer N such that N! is divisible by 888 ?\nOptions:\n(A) 13\n(B) 88\n(C) 31\n(D) 37\n(E) D)  888

Answer: (D)

888 = 8*111 = 3*8*37\nHence 888 is a multiple of 37 and we need at least one 37 in N!\nTherefore least value of N! is 37!, which will contain all of 3, 8, and 37.


Question: The number N is 5,H48, where H represents the hundred's digit. If N is divisible by 11, what is the value of H\nOptions:\n(A) 1\n(B) 7\n(C) 6\n(D) 5\n(E) 2

Answer: (A)

If the number is divisible by 11, then the alternate digits' sum must be divisible by 11 or difference is 0. Only 1 yields such a number.


Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 50%\n(C) 57%\n(D) 60%\n(E) 65%

Answer: (C)


Question: List K consists of 10 consecutive integers. If -3 is the least integer in list K, what is the range of the positive integers in list K?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 11\n(E) 12

Answer: (A)

Answer = A = 5\nIf least = -3, then largest = 6\nRange = 6- 1 = 5


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

Answer: (B)


Question: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?\nOptions:\n(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750\n(B) Ram = Rs.7500, Shyam = Rs.1000, Mohan = Rs.750\n(C) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.250\n(D) Ram = Rs.1500, Shyam = Rs.1080, Mohan = Rs.750\n(E) Ram = Rs.1500, Shyam = Rs.1002, Mohan = Rs.750

Answer: (A)


Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 3\n(B) 6\n(C) 9\n(D) 10\n(E) 12

Answer: (C)


Question: Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined?\nOptions:\n(A) 66th\n(B) 70th\n(C) 74th\n(D) 82nd\n(E) 85th

Answer: (A)


Question: In case R 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) T and S\n(E) T and U

Answer: (D)


Question: John left home and drove at the rate of 50 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?\nOptions:\n(A) 235 miles.\n(B) 245 miles.\n(C) 255 miles.\n(D) 265 miles.\n(E) 275 miles.

Answer: (D)

The total distance D traveled by John is given by\nD = 50 * 2 + 3 * 55 = 265 miles.


Question: BCB, DED, FGF, HIH, ___\nOptions:\n(A) KOP\n(B) QLM\n(C) JKJ\n(D) PSQ\n(E) IOP

Answer: (C)

This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter.


Question: How many numbers between 10 - 99 yield a reminder of 8 when divided by 10 and also yield a remainder of 2 when divided by 8?\nOptions:\n(A) One\n(B) Three\n(C) Two\n(D) Five\n(E) Four

Answer: (B)

Answer = B) Three\nNumbers between 10 - 99 giving remainder 8 when divided by 10 = 18, 28, 38, 48, 58, 68, 78, 88, 98\nThe above Numbers giving remainder 2 when divided by 8 = 18, 58, 98 = 3


Question: What approximate value should come in place of the question mark (?) in the following equation’?\n3 3⁄5 of 157.85 + 39% of 1847 = ? – 447.30\nOptions:\n(A) 1200\n(B) 1500\n(C) 1600\n(D) 1800\n(E) 2100

Answer: (D)


Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.\nOptions:\n(A) 2205\n(B) 3387\n(C) 2882\n(D) 2997\n(E) 1278

Answer: (A)


Question: The average of first six prime numbers greater than 3 is?\nOptions:\n(A) 16\n(B) 10\n(C) 12\n(D) 19\n(E) 17.8

Answer: (C)


Question: Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?\nOptions:\n(A) 5 7/9 days\n(B) 6 7/9 days\n(C) 5 1/9 days\n(D) 5 7/2 days\n(E) 4 7/9 days

Answer: (A)


Question: In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?\nOptions:\n(A) 1 kg\n(B) 200 gms\n(C) 800 gms\n(D) 1.8 kg\n(E) None of these

Answer: (A)

In 1 kg mixture quantity of iron = 200 gm\nLet x gm sand should be added, then\n10% of (1000 + x) = 200\n\ x = 1000 gm = 1 kg


Question: The speed of a boat in upstream is 80 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) 90, 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 = (80+100)/2 = 90 kmph. Speed of the stream = (100-80)/2 = 10 kmph


Question: If x is an even integer and y is an odd integer, which of the following is an even integer?\nOptions:\n(A) x+y\n(B) x+2y\n(C) 3x+y\n(D) x+y^2\n(E) x+y+2

Answer: (B)

Plug in an even integer for x; in this case 2\nPlug in an odd integer for y; in this case 1\n2+1 = 3 Odd\n2+(2*1) = 4 Even\n(3*2)+1 = 6 + 1 = 7 Odd\n2+(1^2) = 2 + 1 = 3 Odd\n2+1+2 = 5 Odd


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

Answer: (A)


Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?\nOptions:\n(A) 1/9\n(B) 1/7\n(C) 1/6\n(D) 1/2\n(E) 1/1

Answer: (C)

A's one day's work = 1/30\nB's one day's work = 1/45\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\nThe part of the work completed in 3 days = 3 (1/18) = 1/6.


Question: 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) 30%\n(B) 59%\n(C) 57%\n(D) 64%\n(E) 69%

Answer: (C)


Question: In a school of 650 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) 163\n(C) 153\n(D) 143\n(E) 117

Answer: (E)


Question: In an office, 10 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)  16\n(B)  64\n(C)  50\n(D)  144\n(E)  160

Answer: (A)


Question: John makes $50 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?\nOptions:\n(A) 15%\n(B) 16.66%\n(C) 50%\n(D) 19%\n(E) 21%

Answer: (C)


Question: What is the sum of all the prime numbers greater than 50 but less than 70?\nOptions:\n(A) 249\n(B) 248\n(C) 246\n(D) 240\n(E) 241

Answer: (D)

Required sum = (53 + 59 + 61 + 67 ) = 240\nNote: 1 is not a prime number


Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\nOptions:\n(A) 39\n(B) 37\n(C) 342\n(D) 288\n(E) 261

Answer: (C)


Question: In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?\nOptions:\n(A) 5 sec\n(B) 4 sec\n(C) 3 sec\n(D) 6 sec\n(E) 1 sec

Answer: (A)


Question: The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 122\n(B) 156\n(C) 118\n(D) 125\n(E) 123

Answer: (A)


Question: 10 men and 15 women together can complete a work in 7 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\nOptions:\n(A) 127 days\n(B) 667 days\n(C) 177 days\n(D) 187 days\n(E) 350 days

Answer: (E)

1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/7\n15 women's 1 day work = (1/7 - 10/100) = 3/70\n1 woman's 1 day work = 1/350\n1 woman alone can complete the work in 350 days.


Question: What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?\nOptions:\n(A) Rs. 25800\n(B) Rs. 15600\n(C) Rs. 21600\n(D) Rs. 24800\n(E) Rs. 25600

Answer: (E)


Question: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 90\n(B) 100\n(C) 110\n(D) 180\n(E) 200

Answer: (A)

Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90


Question: How many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 28 sec\n(B) 29 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec

Answer: (B)


Question: What is the units digit of the expression 14^7−16^4?\nOptions:\n(A)  0\n(B)  3\n(C)  8\n(D)  6\n(E)  4

Answer: (C)

I think answer on this one should be C too. Since we know that 14^7>16^4, as Will said one should always check if the number is positive.


Question: A train 510 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) 52\n(C) 26\n(D) 21\n(E) 14

Answer: (B)

Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 510 + 140 = 650 m\nRequired time = 650 * 2/25 = 52 sec


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

Answer: (A)


Question: Which among the following is the greatest?\nOptions:\n(A) 2^3^2\n(B) 2^2^3\n(C) 3^2^3\n(D) 3^3^3\n(E) 5^3^3

Answer: (D)


Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?\nOptions:\n(A) 2528\n(B) 2526\n(C) 2522\n(D) 2722\n(E) 2426

Answer: (C)


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 100. How much did he have with him in the beginning?\nOptions:\n(A) Rs 200\n(B) Rs 250\n(C) Rs 300\n(D) Rs 450\n(E) Rs 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 = 100 = 250


Question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 48%\n(C) 57%\n(D) 59%\n(E) 61%

Answer: (B)


Question: If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?\nPlease try to explain your answers\nOptions:\n(A) 0\n(B) 25\n(C) 50\n(D) 75\n(E) 100

Answer: (E)

First even minus first odd = 2-1 = 1;\nThe sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;\nThe sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;\nWe can see the patterns here, so the sum of first 100 positive even integers minus the sum of first 100 positive odd integers will be 100.


Question: Eight friends go to watch a movie but only 5 tickets were available. In how many different ways can 5 people sit and watch the movie?\nOptions:\n(A) 8C5\n(B) 8*7*6*5*4\n(C) 5!\n(D) 8!/5!\n(E) 8*5

Answer: (B)

Choosing 5 out of 8, when order matters P58, or choosing 5 out of 8, without order and then arranging: C58∗5!


Question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\nOptions:\n(A) 1\n(B) 3\n(C) 5\n(D) 8\n(E) 9

Answer: (A)

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


Question: If the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is?\nOptions:\n(A) 16\n(B) 127\n(C) 12\n(D) 18\n(E) 100

Answer: (E)

Percentage of profit = 25/25 * 100 = 100%


Question: A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible\nOptions:\n(A)  3\n(B)  6\n(C)  4\n(D)  8\n(E)  10

Answer: (B)

Mother has a fixed place and father, so there are 3! ways to arrange the children, hence


Question: Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is four miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\nOptions:\n(A) 6\n(B) 7\n(C) 8\n(D) 10\n(E) 11

Answer: (A)

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


Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 121 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50

Answer: (E)

No of people from 10 - 11 is x\nNo of people from 11 - 12 is 11x/10\nNo of people from 12 to 1 is (6/5)(11x/10)\nGiven that 11x/10 + (6/5)(11x/10) = 121x / 50 = 121\nThen x = 50


Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?\nOptions:\n(A) 92/37\n(B) 33/91\n(C) 71/28\n(D) 91/42\n(E) 91/33

Answer: (B)

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = Â¹Â²Câ‚„/Â¹âµCâ‚„ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91


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) 25\n(B) 27\n(C) 29\n(D) 32\n(E) 34

Answer: (B)

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 boy needs to deliver three different newspaper to three different house. The problem is that he doesn't know which newspaper belong to which house. Find the probability that the boy only got one house with the wrong newspaper.\nOptions:\n(A) 0\n(B) 1/3\n(C) 2/3\n(D) 4/27\n(E) 1/27

Answer: (A)

This one is a trick question. There are three house and three different newspapers. If he only got one wrong delivery, it means that he got the other two house correct. This is not possible because there are only three newspaper. If there are two correct delivery made the remaining one must also be correct. So the possibility of getting o my one of the delivery made wrong is impossible ore 0


Question: The average of first 14 even numbers is?\nOptions:\n(A) 19\n(B) 18\n(C) 16\n(D) 11\n(E) 15

Answer: (E)

Sum of 14 even numbers = 14 * 15 = 210\nAverage = 210/14 = 15


Question: A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:\nOptions:\n(A) 12\n(B) 10\n(C) 14\n(D) 25\n(E) 15

Answer: (E)

Dividend Rs 20 = (9/100*20) = 9/5\n12 is an income on Rs 100\nRs 9/5 is an income Rs (100/12*9/5) = Rs 15


Question: The average of eight results is 37 and that of the first seven is 40. The eighth result is?\nOptions:\n(A) 25\n(B) 30\n(C) 12\n(D) 37\n(E) 16

Answer: (E)


Question: There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.\n(i) Ladu not eaten on monday\n(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.\n(iii) Peda is eaten the day following the day of eating Jilebi\n(iv) If Ladu eaten on tuesday, kaju should be eaten on monday\nbased on above, peda can be eaten on any day except\nOptions:\n(A) monday\n(B) tuesday\n(C) tuWesday\n(D) wednesday\n(E) friday

Answer: (A)

From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday.


Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\nOptions:\n(A) 3\n(B) 5\n(C) 6\n(D) 9\n(E) 8

Answer: (A)

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


Question: How many positive integers less than 50 have a reminder 01 when divided by 4?\nOptions:\n(A) 13\n(B) 14\n(C) 15\n(D) 16\n(E) 17

Answer: (A)

1 also gives the remainder of 1 when divided by 4. So, there are total of 13 numbers.


Question: In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?\nOptions:\n(A) 70\n(B) 50\n(C) 40\n(D) 20\n(E) 30

Answer: (E)


Question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 180/63 days\n(B) 160/13 days\n(C) 180/13 days\n(D) 680/13 days\n(E) 180/63 days

Answer: (C)

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


Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?\nOptions:\n(A) 190 metres\n(B) 160 metres\n(C) 180 metres\n(D) 120 metres\n(E) 200 metres

Answer: (E)

Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s\nTime taken to cross, t = 18 s\nDistance Covered, d = vt = (400/36)× 18 = 200 m\nDistance covered is equal to the length of the train = 200 m


Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\nOptions:\n(A) 2999\n(B) 3000\n(C) 2777\n(D) 2999\n(E) 17212

Answer: (B)


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 6 days?\nOptions:\n(A) 2/5\n(B) 1/6\n(C) 1/3\n(D) 1/9\n(E) 2/6

Answer: (C)

A's one day's work = 1/30\nB's one day's work = 1/45\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\nThe part of the work completed in 6 days = 6 (1/18) = 1/3.


Question: The distance between West-Town to East-Town is 14 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 5 kilometers per minute and the second bird, leaving from East-Town, at a speed of 2 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?\nOptions:\n(A) 3.\n(B) 7.\n(C) 10.\n(D) 12.\n(E) 15.

Answer: (C)

Time taken by the birds to meet = 14/(5+ 2) = 2 mins\nDistance traveled by the bird traveling from West-Town = 5 * 2 = 10


Question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 420 feet in circumference.After how many minutes are the three of them together again?\nOptions:\n(A) 5 mins\n(B) 10 mins\n(C) 15 mins\n(D) 3 mins\n(E) 7 mins

Answer: (E)

The time they take will be what the 1st friend takes to complete one circumference as he is the slowest and that is the point all 3 of them will be together at the end of 7 mins.


Question: A train 180 m long running at 70 kmph crosses a platform in 20 sec. What is the length of the platform?\nOptions:\n(A) 208\n(B) 277\n(C) 350\n(D) 881\n(E) 271

Answer: (A)


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 10 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 41 min.\n(C) 17 min.\n(D) 23 min.\n(E) 25 min.

Answer: (C)

The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga.


Question: Which one of the following is not a prime number?\nOptions:\n(A) 51\n(B) 61\n(C) 71\n(D) 82\n(E) 91

Answer: (E)

91 is divisible by 7. So, it is not a prime number.