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

Answer: (A)

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


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

Answer: (C)


Question:
In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
(A) 360
(B) 1720
(C) 2880
(D) 5040
(E) 10080

Answer: (A)

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


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

Answer: (D)

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


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

Answer: (E)

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


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 52 - {both} + 40
{both} = 17%.


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

Answer: (D)

Cost price of article = 48$
% of overhead cost = 15
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 15 = 40%


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

Answer: (B)

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


Question:
An equity analyst needs to select 3 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 7, in how many ways can she choose and rank her top 3 picks?
Options:
(A) 21
(B) 35
(C) 210
(D) 420
(E) 840

Answer: (C)

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


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

Answer: (D)

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


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (A)

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


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

Answer: (D)

P1 takes 12 hrs
Rate for P2P3 together = 1/25 + 1/30 = 11/150
Therefore they take 150/11
Ratio = 150/11 =


Question:
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/9 sec

Answer: (D)


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

Answer: (B)


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (B)


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

Answer: (E)


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

Answer: (A)

The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.


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

Answer: (C)

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


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

Answer: (D)

The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses every shot = (prob that she misses from 50 yards)*(prob that she misses from 60 yards)*(prob that she misses from 70 yards)
Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5
Thus the probability that she misses all shots = (1/4)*(1/3)*(2/5) = 1/30
Thus the probability that she makes at least one shot = 1 - (1/30) = 29/30


Question:
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/5
(B) 1/1
(C) 1/6
(D) 1/3
(E) 1/7

Answer: (C)

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


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

Answer: (C)


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

Answer: (E)

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


Question:
Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Options:
(A) 11
(B) 12
(C) 99
(D) 75
(E) 72

Answer: (B)


Question:
During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Options:
(A) 9%
(B) 10%
(C) 11%
(D) 15%
(E) 90%

Answer: (D)

Assume the price = 100
Price during sale = 87
Price after sale = 100
Percent increase = 13/87*100 = 15% approx.


Question:
How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 120
(D) 600
(E) 720

Answer: (C)

Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
Fourth letter can be filled in 3 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 3 ways x 1 ways = 120


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

Answer: (E)


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (D)

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


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

Answer: (B)

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


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

Answer: (D)


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

Answer: (E)

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


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

Answer: (D)

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


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


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

Answer: (A)

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


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

Answer: (B)


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

Answer: (E)


Question:
A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 189/13 days
(B) 188/13 days
(C) 180/13 days
(D) 180/17 days
(E) 280/13 days

Answer: (C)

One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days.


Question:
A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph

Answer: (B)

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


Question:
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 229
(B) 108
(C) 278
(D) 126
(E) 112

Answer: (B)


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

Answer: (D)

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


Question:
The length of a rectangle is increased by 15% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 1299
(C) 1000
(D) 10000
(E) 9200

Answer: (E)


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

Answer: (B)


Question:
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 277
(C) 299
(D) 662
(E) 181

Answer: (A)

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


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

Answer: (B)

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


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

Answer: (D)


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

Answer: (E)


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

Answer: (A)


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

Answer: (A)

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


Question:
The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Options:
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9

Answer: (D)

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


Question:
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 20
(B) 99
(C) 88
(D) 77
(E) 66

Answer: (B)


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

Answer: (E)

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


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

Answer: (C)


Question:
Find the odd man out
253, 136, 352, 324, 631, 244
Options:
(A) 324
(B) 136
(C) 352
(D) 631
(E) 531

Answer: (A)

The sum all three digits comes to 10 except 324


Question:
In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 5 sec
(D) 6 sec
(E) 7 sec

Answer: (B)


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

Answer: (C)

Sudhir Arvind Gauri
Finally 24 24 24
Before Gauri’s transaction 12 12 48
Before Arvind’s transaction 6 42 24
Before Sudhir’ s transaction 39 21 12


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

Answer: (D)


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

Answer: (E)

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


Question:
In a race with 30 runners where 4 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 8^8 ways
(B) 8^9 ways
(C) 6^4 ways
(D) 8^7 ways
(E) 8^6 ways

Answer: (C)

6 people can be prized with 4 distinct prizes in 6^4 ways


Question:
A certain league has three divisions. The respective divisions had 8, 10, and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A)  51
(B)  52
(C)  54
(D)  56
(E)  57

Answer: (E)

Overall, there can be 57 minuses. Tus, it is


Question:
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 20
(C) 88
(D) 77
(E) 14

Answer: (B)


Question:
Divide Rs.32000 in the ratio 3:7?
Options:
(A) 12000, 20000
(B) 9600, 22400
(C) 12000, 20007
(D) 12000, 20006
(E) 12000, 20001

Answer: (B)


Question:
A deer runs k miles in n hours. How many miles will it run in x hours at the same rate?
Options:
(A) knx
(B) k⁄n
(C) kx⁄2n
(D) kx⁄n
(E) kn⁄x

Answer: (D)

Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x = kx/n


Question:
The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
Options:
(A) 40%
(B) 8%
(C) 25%
(D) 16.66%
(E) 9%

Answer: (B)

Original cost before weight adjustment: X
Cost after 90% weight adjustment: 9/10 X
20% profit on 9/10X: (120/100)(9/10)(X) or 108X/100
Mark up on original cost of X: (108X/100)/X-1 = 8/100


Question:
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:
Options:
(A) 553681
(B) 555181
(C) 555681
(D) 556581
(E) 556881

Answer: (C)

987 = 3 x 7 x 47
So, the required number must be divisible by each one of 3, 7, 47
553681->(Sum of digits = 28, not divisible by 3)
555181->(Sum of digits = 25, not divisible by 3)
555681 is divisible by 3, 7, 47


Question:
A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?
Options:
(A) 287 sec
(B) 89 sec
(C) 48 sec
(D) 16 sec
(E) 17 sec

Answer: (B)


Question:
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 300
(E) 150

Answer: (D)

Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 300 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.12350. Find the share of A?
Options:
(A) 3002
(B) 3000
(C) 3018
(D) 4000
(E) 5000

Answer: (E)


Question:
A lady starts from P towards Q and realizes that at a point R, if he walks 50 km further he will be at a point S, which is as far away from R as it is from Q. What is the distance between P and Q if the distance between P and R is half the distance from R to Q?( Assume that P, Q, R and S are all on the same straight line)
Options:
(A) 150 km
(B) 200 km
(C) 250 km
(D) 125 km
(E) 155 km

Answer: (A)

P___50_____ R ___50_____S____50 ___Q
The above figure gives the locations of P, R, S &Q in relation to each other.


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

Answer: (C)

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


Question:
If L is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then L/2 is =
Options:
(A)  5040
(B)  2520
(C)  1890
(D)  1260
(E)  630

Answer: (D)

The integer should be divisible by: 2, 3, 4, 5, 6, 7, 8 and 9, that is 2, 3, 2^2, 5, 2*3, 7, 2^3 and 3^2. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, L/2 is (7 * 5 * 3^2 * 2^3)/2 = 7*5*9*4 = 1260.


Question:
A wheel rotates 20 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 360 metre
(B) 12 metre
(C) 320 metre
(D) 1200 metre
(E) 260 metre

Answer: (A)

Number of times wheel moves in 1 hour = 20 * 30 = 1200
:. Distance moves = (1200*30) cms = 36000 cms
In metres = 360 metre


Question:
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 9 3/9
(B) 9 3/7
(C) 9 3/8
(D) 9 3/2
(E) 9 3/1

Answer: (C)


Question:
An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible?
Options:
(A) 12
(B) 460
(C) 60
(D) 450
(E) 720

Answer: (D)


Question:
Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?
Options:
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8

Answer: (D)

On dividing 724946 by 10 we get the remainder 6, so 6 should be subtracted


Question:
Calculate the value of n from the below equation: n^3âˆ’10n+20=44
Options:
(A) 1
(B) 5
(C) 3
(D) 2
(E) 4

Answer: (E)

Use elimination method to find the correct option. you find that of all the options when 4 is the correct value for n


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%?
Options:
(A) 2808
(B) 2829
(C) 2800
(D) 2829
(E) 2821

Answer: (C)


Question:
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% 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 20% less than the number there from 10 a.m. to 11 a.m. If 92 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.?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50

Answer: (E)

No of people from 10 - 11 is x
No of people from 11 - 12 is 4x/5
No of people from 12 to 1 is (13/10)(4x/5)
Given that 4x/5 + (13/10)(4x/5) = 92x/50 = 92
Then x = 50


Question:
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 7800
(E) 1268

Answer: (D)


Question:
The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?
Options:
(A) 20
(B) 22
(C) 25
(D) 18
(E) 24

Answer: (D)

The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 16+3 X 20 = 108
So, the middle number is (126 - 108 ) = 18


Question:
A pipe can fill a cistern in 14 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 28
(D) 13
(E) 12

Answer: (C)


Question:
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 3000, then his salary per month in rupees is:
Options:
(A) 20000
(B) 6000
(C) 8000
(D) 10000
(E) None of these

Answer: (A)


Question:
A family pays $900 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,200
(C) $1,300
(D) $1,800
(E) $2,200

Answer: (C)

Upfront payment for insurance plan = 900$
Family needs to pay 20 % of first 1000 $ in expense = 200$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 900 + 200 = 1100 $
Total amount paid by insurance plan for first 1000 $ = 900 $
Total amount paid by family will equal amount paid by plan when medical expense = 1300 $
(Since insurance plan will pay 100% of amount that exceeds 1100$ )


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 600 kms and City A and City C is 360 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 20/9

Answer: (E)

Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 360 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 360/4 = 90 km/hour
Ratio of average speed of Eddy to Freddy = 200/90 = 20/9


Question:
How many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 65 sec
(C) 25 sec
(D) 45 sec
(E) 27 sec

Answer: (E)


Question:
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 99 Θ (33 Θ 17)) ?
Options:
(A) 10
(B) 8
(C) 6
(D) 4
(E) 2

Answer: (D)

(( 90 Θ 33 ) Θ 17 )
The remainder of 90 divided by 33 is 24;
The remainder of 24 divided by 17 is 7;
( 99 Θ (33 Θ 17))
The remainder of 33 divided by 17 is 16;
7 - 3 = 4.


Question:
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?
Options:
(A) 2345
(B) 4500
(C) 5000
(D) 6000
(E) 7000

Answer: (A)


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. 91 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches

Answer: (A)

A 90 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 90 matches were played.


Question:
How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26

Answer: (C)


Question:
An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks?
Options:
(A) 210
(B) 350
(C) 110
(D) 120
(E) 840

Answer: (D)

Number of ways of ch0osing 4 stocks = 5C4
Number of ways of ranking the chosen stocks = 4!
Hence total ways of chosing and ranking = 5C4 * 4! = 120


Question:
A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 17
(B) 16
(C) 70
(D) 14
(E) 12

Answer: (D)


Question:
If there are 4 seats and two students, in how many ways can they be seated?
Options:
(A) 12
(B) 6
(C) 8
(D) 16
(E) 10

Answer: (A)

No. of ways of choosing 2 chairs out of 4 chairs on which two students will sit = 4C2 = 6
No. of ways of 2 people sitting on selected chairs = 2!
Total ways of making 2 people sit on 2 of 4 chairs = 4C2*2! = 6*2 = 12


Question:
A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 49 sec
(E) 60 sec

Answer: (C)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 410 + 140 = 550 m
Required time = 550 * 2/25 = 44 se


Question:
In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181

Answer: (B)

Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89


Question:
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 43
(B) 30
(C) 35
(D) 45
(E) 50

Answer: (A)

Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.


Question:
In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
Options:
(A) 22
(B) 20
(C) 25
(D) 30
(E) 35

Answer: (A)


Question:
How should be added in order to make 2345672 this number is divisible by 9?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9

Answer: (C)

Sum of the numbers 2345672 is 29 which is not multiple of 9
Add 7 which makes the sum 36 which is multiple of 9
So digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9)


Question:
In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec

Answer: (C)


Question:
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 8436
(E) 1268

Answer: (D)


Question:
The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?
Options:
(A) 47
(B) 45
(C) 25
(D) 37
(E) 44

Answer: (B)

The total of thirteen numbers = 13X9 = 117
The total of first 6 and last 6 numbers is = 6 X 5+6 X 7 = 72
So, the middle number is (117 - 72 ) = 45


Question:
8, 27, 64, 100, 125, 216, 343
Options:
(A) 40
(B) 100
(C) 290
(D) 102
(E) 293

Answer: (B)

The pattern is 23, 33, 43, 53, 63, 73. But, 100 is not a perfect cube.


Question:
10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Options:
(A) 1/8
(B) 1/2
(C) 1/5
(D) 1/5
(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!
Required probability = 1/5


Question:
If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  21
(D)  23
(E)  25 3/10

Answer: (C)


Question:
The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 45/2
(C) s. 16.6
(D) s. 26
(E) s. 25/2

Answer: (B)

Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 50. So, the amount with remaining 6 people = 210 - 75 = Rs. 135
The average amount with them = 135/6 = Rs. 45/2


Question:
Which one of the following is a prime number?
Options:
(A) 55
(B) 2
(C) 74
(D) 25
(E) 21

Answer: (B)

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


Question:
A boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
Options:
(A) 1 kmph
(B) 2 kmph
(C) 3 kmph
(D) 2.5 kmph
(E) 3.5 kmph

Answer: (A)

Rate upstream = (1/20 *60) = 3 kmph
Rate dowm stream = 1/12 * 60 = 5 kmph
Rate of the current = ½ (5-3) = 1 kmph


Question:
Find the odd man out
253, 136, 352, 323, 631, 244
Options:
(A) 323
(B) 136
(C) 352
(D) 631
(E) 531

Answer: (A)

The sum all three digits comes to 10 except 323


Question:
At a meeting of the 5 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 5 Chiefs of Staff be seated around a circular table?
Options:
(A) 120
(B) 480
(C) 960
(D) 2520
(E) 5040

Answer: (D)

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 D (2520), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect?


Question:
What is the least number should be added to 1056, so the sum of the number is completely divisible by 25?
Options:
(A) 19
(B) 20
(C) 32
(D) 41
(E) 53

Answer: (A)

(1056 / 25) gives remainder 6
19 + 6 = 23, So we need to add 19


Question:
If six persons sit in a row, then the probability that three particular persons are always together is
Options:
(A) 1/20
(B) 3/10
(C) 1/5
(D) 4/5
(E) 2/5

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:
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 511
(B) 546
(C) 552
(D) 562
(E) 570

Answer: (A)

Number of newborns that can die in first month = 1/10 * 700 = 70
Survived = 630
Number of newborns that can die in second month = 1/10 * 630 = 63
Survived = 567
Number of newborns that can die in third month = 1/10 * 567 = 56
Survived = 511


Question:
If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 360
(E) 484

Answer: (D)

I will go with D (pending elements to match is 2^2*3^2*10^1 = 360


Question:
How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 12
(B) 27
(C) 18
(D) 12
(E) 81

Answer: (D)


Question:
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 87
(B) 15
(C) 17
(D) 19
(E) 16

Answer: (D)

Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).


Question:
A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.
Options:
(A) 36kmph
(B) 42kmph
(C) 48kmph
(D) 52kmph
(E) 64kmph

Answer: (A)

In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train
In 30 sec the train travels a distance of 300 mtrs
Speed = 300/30 = 10 m/s = 10 * 18/5 = 36 kmph


Question:
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 80,30 kmph
(B) 80,20 kmph
(C) 80,10 kmph
(D) 80,40 kmph
(E) 80,90 kmph

Answer: (D)

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


Question:
A 125 meter long train crosses a man standing on the platform in 5 sec. What is the speed of the train?
Options:
(A) 229
(B) 108
(C) 278
(D) 126
(E) 90

Answer: (E)


Question:
A marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?
Options:
(A) 1/68
(B) 60/68
(C) 13/68
(D) 13/48
(E) 1/48

Answer: (A)

It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 1
Probability of choosing 2nd card of the same type: 5/17
Probability of choosing 3rd card of the same type: 4/16
Probability of choosing 4th marble of the same type: 3/15
Multiply and you get 1/68


Question:
If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these

Answer: (D)

Here, l = 8 and m = 16
Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number


Question:
A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?
Options:
(A) 1/3
(B) 1/6
(C) 1/27
(D) 1/243
(E) 1/486

Answer: (D)

For each digit there are six possibilities. Two of them (3 and 6) are divisible by three, so there is a one in three chance for each digit, and since the digits are independent of each other, overall probability is 1 / 3^5 or


Question:
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 29 Years
(B) 32 Years
(C) 37 Years
(D) 49 Years
(E) 50 Years

Answer: (D)

Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years


Question:
A train which has 390 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Options:
(A) 26 sec
(B) 39 sec
(C) 36 sec
(D) 29 sec
(E) 30 sec

Answer: (B)

Time taken to cross a moving person = length of train/ relative speed
Time taken = 390/((45-9) (5/18) = 390/ 36*(5/18) = 390/10 = 39 sec


Question:
100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160

Answer: (C)

Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150.


Question:
How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 22
(B) 77
(C) 15
(D) 12
(E) 88

Answer: (D)


Question:
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 120 gallons
(B) 200 gallons
(C) 170 gallons
(D) 180 gallons
(E) 250 gallons

Answer: (A)

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


Question:
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails?
Options:
(A) 1/8
(B) 1/4
(C) 1/16
(D) 1/32
(E) 1/2

Answer: (C)

Must be twice on heads and twice on tails
1/2*1/2*1/2*1/2 = 1/16


Question:
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Options:
(A) 3388
(B) 2778
(C) 2522
(D) 2988
(E) 2771

Answer: (C)


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?
Options:
(A) 180/15
(B) 180/10
(C) 180/13
(D) 180/15
(E) 180/11

Answer: (C)

One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days.


Question:
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options:
(A) 180
(B) 345
(C) 234
(D) 488
(E) 234

Answer: (A)

Angle traced by the hour hand in 6 hours = (360)/12x 6º = 180º.


Question:
If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
Options:
(A) 50
(B) 60
(C) 55
(D) 70
(E) None of these

Answer: (A)

Let the bill be x. Then
90% of x = 45
⇒ x = 45×100/90 = 50


Question:
Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?
Options:
(A) 24(2)  – 12(2)  + 112 ÷ 14
(B) 17 × 12 + 59 × 4
(C) 15 × 28 + 20
(D) 27 × 16 + 56 ÷ 8
(E) 185 × 6 ÷ 2 – 23 × 5

Answer: (D)


Question:
In what time will a railway train 65 m long moving at the rate of 32 kmph pass a telegraph post on its way?
Options:
(A) 3 sec
(B) 4 sec
(C) 5 sec
(D) 6 sec
(E) 7 sec

Answer: (E)


Question:
If 100!/30^n is an integer, which of the following is the greatest possible value of n?
Options:
(A) 28
(B) 24
(C) 20
(D) 15
(E) 10

Answer: (B)

30^n = 2^n * 3^n * 5^n
100! has 97 2's, 48 3's and 24 5's
Since each of 2, 3 and 5 is required to form 30 and there are only 24 5's there can only be 24 30's in 100!


Question:
At 15:00 there were 22 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 32

Answer: (E)

Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 32


Question:
The average age of applicants for a new job is 30, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 16
(C) 17
(D) 18
(E) 34

Answer: (C)

Minimum age = Average - 1 Standard deviation = 30 - 8 = 22
Maximum age = average + 1 Standard deviation = 30+ 8 = 38
Maximum number of different ages of the applicants = 38 - 22 + 1 = 17


Question:
How much is 65% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 66
(D) 12
(E) 6

Answer: (E)


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?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec

Answer: (D)


Question:
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 250
(D) 168
(E) 150

Answer: (C)

Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 250 m


Question:
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 240 m long?
Options:
(A) 40 sec
(B) 42 sec
(C) 45 sec
(D) 48 sec
(E) 50 sec

Answer: (D)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 240 = 600 m
Required time = 600 * 2/25 = 48 sec


Question:
For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ?
Options:
(A)  $1
(B)  $2
(C)  $3
(D)  $4
(E)  $5

Answer: (B)

Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 250$ shipment: 3+3 = 6$. Thus, for two such orders = 12$
The difference = 2$.


Question:
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) Rs.1261
(B) Rs.9261
(C) Rs.9621
(D) Rs.9162
(E) Rs.9164

Answer: (B)


Question:
The speed of a boat in still water is 30kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph

Answer: (B)

Speed downstream = 30+ 20 = 50 kmph
Speed upstream = 30 - 20 = 10 kmph


Question:
A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 8
(E) 3

Answer: (E)

Speed downstream = d/t = 78/(4) = 20 kmph
Speed upstream = d/t = 56/(4) = 14 kmph
The speed of the stream = (20 - 14)/2 = 3 kmph


Question:
Which of the following is not a leap year ?
Options:
(A) 700
(B) 800
(C) 900
(D) 1000
(E) 1200

Answer: (A)


Question:
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 300
(D) 258
(E) 191

Answer: (C)

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


Question:
If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these

Answer: (D)

Here, l = 7 and m = 14
Therefore, first number = l/m x 100% of second number = 7/14 x 100% of second number = 50% of second number


Question:
A car finishes a journey in five hours at the speed of 100 km/hr. If the same distance is to be covered in two hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 150 km/hr
(D) 16 km/hr
(E) None of these

Answer: (C)

Distance covered by the car = 100 × 5 = 500 km
\ Speed = 500⁄2 = 250 km/hr
\ Speed gain = 250 – 100 = 150 km/hr


Question:
In digging a hole 10 m * 10 m * 100 m the volumes of the sand extracted will be?
Options:
(A) 100 cu.m
(B) 1000 cu.m
(C) 10000 cu.m
(D) 2000 cu.m
(E) 4000 cu.m

Answer: (C)


Question:
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Options:
(A) 81000
(B) 22887
(C) 26877
(D) 26771
(E) 17121

Answer: (A)


Question:
How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 28 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec

Answer: (A)


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?
Options:
(A) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 8/2 sec
(D) 7 1/9 sec
(E) 7 2/2 sec

Answer: (D)


Question:
The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Answer: (E)


Question:
A Train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long. Find the speed of the train.
Options:
(A) 68 kmph
(B) 70 kmph
(C) 72 kmph
(D) 60 kmph
(E) 50 kmph

Answer: (C)

In 10s the train crosses the pole and in 35 sec the train crosses one more stationary train
In 25 sec the train travels a distance of 500 mtrs
Speed = 500/25 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph


Question:
In a school of 850 boys, 44% of Muslims, 14% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 627
(C) C) 153
(D) D) 721
(E) E) 272

Answer: (E)


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

Answer: (B)


Question:
Lisa's grade was 75th percentile of the 40 grades for her class. Of the 50 grades from another class, 8 were higher than Lisa's, and the rest were lower. If no other grade was the same as Lisa's grade, then Lisa's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 62nd
(B) 74th
(C) 80th
(D) 87th
(E) 92nd

Answer: (C)


Question:
If six persons sit in a row, then the probability that three particular persons are always together is ?
Options:
(A) 1/3
(B) 1/9
(C) 1/5
(D) 1/7
(E) 1/1

Answer: (C)

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


Question:
he population of a city is 120,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 137787
(B) 134832
(C) 139776
(D) 139728
(E) 139718

Answer: (B)


Question:
In a school of 300 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 54
(B) 63
(C) 70
(D) 42
(E) 31

Answer: (A)


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?
Options:
(A) 288
(B) 277
(C) 209
(D) 992
(E) 612

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?
Options:
(A) 150
(B) 872
(C) 287
(D) 288
(E) 212

Answer: (A)

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


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 3 times, and no one scored below 400 or over 700. If the individual ranges of the three people's scores in those 3 practice tests were 40, 70 and 100, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Options:
(A) 70
(B) 80
(C) 100
(D) 140
(E) 200

Answer: (E)

According to the information in the question the maximum range would be between 400 and 700(300). The minimum range would be the greatest range for any one individual, which is listed in the problem as 100. So the difference between these would be 300-100 or 200.


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?
Options:
(A) 22
(B) 27
(C) 15
(D) 77
(E) 16

Answer: (C)

Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 50. So, the amount with remaining 6 people = 140 - 50 = Rs. 90
The average amount with them = 90/6 = Rs. 15.


Question:
A pharmaceutical company received $5 million in royalties on the first $40 million in sales of and then $9 million in royalties on the next $210million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $40 million in sales to the next $210 million in sales?
Options:
(A) 8%
(B) 15%
(C) 45%
(D) 52%
(E) 66%

Answer: (E)

(9/210)/(5/40) = 12/35 = 34% it means that 9/210 represents only 34%. Therefore a decrease of 66%.


Question:
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Options:
(A) 16
(B) 18
(C) 20
(D) 24
(E) 30

Answer: (C)

Distance between Maxwell's and Brad's home = 50 km
Maxwell's speed = 4 km/h
Brad's speed = 6 km/h
Relative speed of approach = 10 km/h
Time = 50/ 10 = 5 hours
Distance traveled by Maxwell when they meet in the middle = 4*5 = 20 km


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

Answer: (C)

{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 80 - {Both correctly} + 5
{Both correctly} = 70.


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?
Options:
(A) 40
(B) 87
(C) 26
(D) 21
(E) 14

Answer: (A)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec


Question:
Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

Answer: (A)


Question:
Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 1/2
(B) 1/5
(C) 1/3
(D) 1/4
(E) 1/6

Answer: (D)

Part filled by (A + B + C) in 3 minutes = 3(1/20 + 1/20 + 1/30) = 6/15
Part filled by C in 3 minutes = 3/30
Required ratio = 3/30 * 15/6 = 1/4


Question:
Scott's average (arithmetic mean) golf score on his first four rounds was 58.What score does he need on his fifth round to drop his average score by 2 points?
Options:
(A) 48
(B) 72
(C) 78
(D) 88
(E) 312

Answer: (A)

Average score for first 4 rounds = 58
Average score after 5 rounds = 56
Score Scott needs on his 5th round to drop average score by 2 points = 58 - (2*5) = 48


Question:
If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?
Options:
(A) (x + y) /z
(B) (y + z) /x
(C) yz/x
(D) (2y + 3z) /x
(E) (xy + z) /y

Answer: (A)

As per the question, let x = 2, y = 6, and z = 12. Plugging these into the answer choices, only A does not yield an integer.


Question:
The length of a rectangle is increased by 25% and its breadth is decreased by 15%. What is the effect on its area?
Options:
(A) 1288
(B) 1299
(C) 10625
(D) 10000
(E) 2887

Answer: (C)


Question:
Look at this series: 53, 53, 46, 46, 39, 39, ... What number should come next?
Options:
(A) A) 12
(B) B) 14
(C) C) 27
(D) D) 32
(E) E) 86

Answer: (D)

In this series, each number is repeated, then 7 is subtracted to arrive at the next number.


Question:
What is the are of an equilateral triangle of side 20 cm?
Options:
(A) 64√5
(B) 64√9
(C) 64√4
(D) 64√3
(E) 100√3

Answer: (E)

Area of an equilateral triangle = √3/4 S2
If S = 20, Area of triangle = √3/4 * 20 * 20 = 100√3 cm2;


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.145. Find the unknown rate of two towels?
Options:
(A) A) 400
(B) B) 450
(C) C) 500
(D) D) 550
(E) E) 600

Answer: (A)


Question:
In how many different ways can the letters of the word "FAME" be rearrangement?
Options:
(A) 26
(B) 24
(C) 28
(D) 12
(E) 30

Answer: (B)

Option 'B'
The total number of arrangements is
4P4 = 4! = 24


Question:
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 3.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 7
(E) 9

Answer: (C)


Question:
Find the odd man out
445, 221, 109, 46, 25, 11, 4
Options:
(A) 221
(B) 109
(C) 46
(D) 25
(E) 21

Answer: (C)


Question:
How much is 40% of 60 is greater than 4/5 of 25?
Options:
(A) 2
(B) 5
(C) 12
(D) 8
(E) 4

Answer: (E)


Question:
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 5
(B) 4
(C) 6
(D) 7
(E) 8

Answer: (C)

Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6


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 2 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?
Options:
(A) 30
(B) 20
(C) 18
(D) 22
(E) 6

Answer: (C)


Question:
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Options:
(A) 20
(B) 22
(C) 25
(D) 24
(E) 26

Answer: (B)

This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.


Question:
There are 4 magazines lying on a table; 2 are fashion magazines and the other 2 are sports magzines. If 1 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
Options:
(A) 1
(B) 1/2
(C) 1/4
(D) 1/6
(E) 1/8

Answer: (B)


Question:
Express 30 mps in kmph?
Options:
(A) 122
(B) 108
(C) 110
(D) 150
(E) 100

Answer: (B)


Question:
If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/9
(B) 1/3
(C) 1/5
(D) 1/1
(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:
Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 8765
(B) 8907
(C) 9944
(D) 9954
(E) 9990

Answer: (C)

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


Question:
Which oif the following is a prime number?
Options:
(A) 45
(B) 39
(C) 27
(D) 33
(E) 31

Answer: (E)

Clearly, 31 is a prime number. So choice E is correct.


Question:
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, x
Options:
(A) 29
(B) 31
(C) 23
(D) 35
(E) 38

Answer: (E)

The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 35 + 3 = 38.


Question:
The average of Suresh’s marks in English and History is 55. His average of marks in English and Science is 65. What is the difference between the marks which he obtained in History and Science?
Options:
(A) 40
(B) 60
(C) 20
(D) Data inadequate
(E) None of the above

Answer: (C)


Question:
The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 170, 10 kmph
(B) 35, 27 kmph
(C) 50, 60 kmph
(D) 115, 15 kmph
(E) 45, 65 kmph

Answer: (D)

Speed of the boat in still water = (100+130)/2 = 115 kmph. Speed of the stream = (100-130)/2 = 15 kmph


Question:
A train 140 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 11 sec
(E) 8 sec

Answer: (E)


Question:
A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?
Options:
(A) 105
(B) 67
(C) 80
(D) 60
(E) 100

Answer: (B)

Final number = Initial number + 12%(original number) = 60 + 12%(60) = 60 + 7 = 67


Question:
A train 495 m long is running at a speed of 63 km/hr. In what time will it pass a bridge 240 m long?
Options:
(A) 39
(B) 40
(C) 41
(D) 42
(E) 43

Answer: (D)

Speed = 63 * 5/18 = 35/2 m/sec
Total distance covered = 495 +240 = 735 m
Required time = 700 * 2/35 = 42 sec


Question:
The measure of the side of a square is doubled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 2x
(B) 4x
(C) 9x
(D) 12x
(E) 27x

Answer: (A)

Original perimeter = x
Hence original side = x/4
New side = 2x/4
New perimeter = 4*2x/4 = 2x


Question:
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
Options:
(A) 9
(B) 11
(C) 15
(D) 5
(E) 20

Answer: (A)


Question:
If the given two numbers are respectively 5% and 25% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these

Answer: (A)

Here, l = 5 and m = 25
Therefore, first number = l/m x 100% of second number = 5/25 x 100% of second number = 20% of second number


Question:
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 287
(B) 270
(C) 276
(D) 129
(E) 211

Answer: (B)


Question:
If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)?
Options:
(A) 2/3
(B) 3/5
(C) 2/7
(D) 3/7
(E) 4/9

Answer: (A)


Question:
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.2 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 162 sec
(D) 244 sec
(E) 2 mins 44 sec

Answer: (C)


Question:
A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?
Options:
(A) 8%
(B) 15%
(C) 25%
(D) 52%
(E) 56%

Answer: (C)

(9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.


Question:
100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Options:
(A) 75
(B) 70
(C) 85
(D) 90
(E) 95

Answer: (B)

Answer = B
Please refer diagram below
90 - 20 = 70


Question:
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 18
(B) 16
(C) 17
(D) 19
(E) 13

Answer: (D)

Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).


Question:
In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
Options:
(A) 1.
(B) 15
(C) 17
(D) 20
(E) 23

Answer: (E)

Total Vehicles = 56
Buses = 18
Private Cars = 38
Total red vehicles = 32
Total red buses = 17
Total Red cars = 15
Total cars that are not red = 38 - 15 = 23


Question:
There are 9 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 540
(D) 180
(E) 200

Answer: (C)

Number of ways of selecting 2 fiction books = 9C2
Number of ways of selecting 2 non fiction books = 6C2
9C2 * 6C2 = 36 * 15 = 540


Question:
he speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 25 kmph
(B) 15 kmph
(C) 17 kmph
(D) 95 kmph
(E) 14 kmph

Answer: (B)


Question:
There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 36
(B) 45
(C) 50
(D) 55
(E) 60

Answer: (A)

8C3 [Select any four] - 6C3 [Select all hard backs] = 36.


Question:
A motorcyclist goes from Bombay to Pune, a distance of 224 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 4:7
(D) 1:1
(E) 1:8

Answer: (C)


Question:
A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1

Answer: (E)

Equation: 1/r = 1/(r + 2) + 2/3
Plug options into the equation:
E fits: 1/1 = 1/(1 + 2) + 2/3


Question:
189. The inside dimensions of a rectangular wooden box
are 2 inches by 4 inches by 6 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
(A)  2
(B)  4
(C)  5
(D)  6
(E)  8

Answer: (A)

Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 6x4 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 4, so the radius will be 2.


Question:
The length of a rectangle is increased by 35% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10800
(B) 1299
(C) 1000
(D) 10000
(E) 2887

Answer: (A)


Question:
If x is an odd integer, which of the following is an even integer?
Options:
(A) 2x-x
(B) x+1
(C) 2x+3
(D) x^3
(E) 3x+2x

Answer: (B)


Question:
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  144/17
(E)  11/4

Answer: (D)

P1 takes 12 hrs
Rate for P2P3 together = 1/16 + 1/18 = 17/144
Therefore they take 144/17
Ratio = 144/17 =


Question:
A no. x when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 1
(B) 4
(C) 9
(D) 11
(E) 13

Answer: (C)


Question:
A no.when divided by 242 gives a remainder 100, what remainder will be obtainedby dividingthe same no.18?
Options:
(A) 15
(B) 16
(C) 17
(D) 18
(E) 19

Answer: (E)


Question:
The average age of a family of 6 members is 22 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Options:
(A) 15
(B) 18
(C) 21
(D) 12
(E) 19

Answer: (A)

Present age of total members = 6 X 22 = 132
7 yrs back their ages were = 6 x 7 = 42
Ages at the birth of youngest member = 132 - 42 = 90
Therefore, avg age at the birth of youngest member = 90/6 = 15.


Question:
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?
Options:
(A) 34 Seconds
(B) 18 Seconds
(C) 41 Seconds
(D) 24 Seconds
(E) 29 Seconds

Answer: (B)

Distance travelled = 140 + 160m = 300m
Speed = 60 * 5/8 = 50/3m
Time = 300 * 3/50 = 18 Seconds


Question:
On 8th Feb, 1995 it was Wednesday. The day of the week on 8th Feb, 1994 was
Options:
(A) wednesday
(B) Tuesday
(C) Thursday
(D) Friday
(E) None

Answer: (B)

1994 being an ordinary year, it has 1 odd day. So, the day on 8th Feb, 1995 is one day beyond the day on 8th Feb, 1994. But, 8th Feb, 1995 was Wednesday. 8th Feb, 1994 was Tuesday.


Question:
110 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 165

Answer: (E)

Final number = Initial number + 50%(original number) = 110 + 50%(110) = 110 + 55 = 165.


Question:
The smallest number which when subtracted from the sum of squares of 11 and 13 gives a perfect square is
Options:
(A) 1
(B) 4
(C) 5
(D) 9
(E) 8

Answer: (A)


Question:
A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 17 sec
(D) 88 sec
(E) 20 sec

Answer: (E)


Question:
Divide Rs.32000 in the ratio 3:9?
Options:
(A) 12000, 20000
(B) 12000, 200098
(C) 12000, 20007
(D) 12000, 20006
(E) 8000, 24000

Answer: (E)


Question:
Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 13 km/hr downstream and 10 km/hr upstream.
Options:
(A) 3 kmph
(B) 9 kmph
(C) 4 kmph
(D) 8 kmph
(E) 6 kmph

Answer: (B)

Speed in still water = (13 + 5)1/2 kmph = 9 kmph.


Question:
How many Numbers can be formed with digits 2,4,6,8 without repetition?
Options:
(A) 124
(B) 256
(C) 64
(D) 84
(E) 94

Answer: (C)

Number of one digit numbers = 4
Number of two digit numbers = 4 P 2 = 12
Number of Three digit numbers = 4 P 3 = 24
Number of four digit numbers = 4 P 4 = 24
So, total = 24 + 24 + 12 + 4 = 64


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

Answer: (D)


Question:
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2234
(B) 3245
(C) 3456
(D) 4567
(E) 5184

Answer: (E)


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

Answer: (D)


Question:
Five coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^4
(B) 2^10
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10

Answer: (A)

Fix the third coin as H. The remaining 4 coins have 2^4 outcomes.


Question:
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 5 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 85 miles

Answer: (E)

Answer = E. 85 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 5 miles, so effective difference = 90 - 5 = 85 miles


Question:
A motorcyclist goes from Bombay to Delhi, a distance of 200 kms at an average of 50 kmph speed. Another man starts from Bombay by car 2 Â½ hours after the first, and reaches Delhi Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:7
(C) 1:9
(D) 1:4
(E) 1:1

Answer: (D)


Question:
The average of first six prime numbers greater than 20 is?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 34

Answer: (E)


Question:
A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 225 meter
(B) 200 meter
(C) 250 meter
(D) 210 meter
(E) 230 meter

Answer: (A)

Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
(25) * 9 = 225 meter


Question:
A family with 1 mother, 1 father, and 2 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?
Options:
(A)  2
(B)  4
(C)  6
(D)  8
(E)  10

Answer: (A)

Mother has a fixed place and father, so there are 2! ways to arrange the children, hence


Question:
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720

Answer: (E)


Question:
A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
Options:
(A) 6 days
(B) 7 days
(C) 5 days
(D) 3 days
(E) 2 days

Answer: (A)

One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days.


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?
Options:
(A) 186
(B) 188
(C) 810
(D) 167
(E) 861

Answer: (C)


Question:
If a and b are unique prime integers, which of the following must be odd?
Options:
(A) a−b
(B) 2a+2b
(C) 2a−2b
(D) 2a / 2b
(E) ab^2

Answer: (A)

Any number multiplied by 2 has to be an even number. hence


Question:
In filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be?
Options:
(A) 100 cu.m
(B) 1000 cu.m
(C) 10000 cu.m
(D) 100000 cu.m
(E) 10000000 cu.m

Answer: (C)


Question:
In a division sum, the remainder is 8 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Options:
(A) 200
(B) 251
(C) 250
(D) 262
(E) 254

Answer: (B)

Diver = (8*3)+3 = 27
3* Quotient = 27
Quotient = 9
Dividend = (Divisor * Quotient) + Remainder
Dividend = (27 * 9) + 8 = 251


Question:
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?
Options:
(A) 69.
(B) 71
(C) 73
(D) 75
(E) 76

Answer: (C)

Graduates got job = 32
Graduates continued to second degree = 45
Graduates got job and continued to second degree = 13
Graduates didn't get job and didn't continue to second degree = 9
Job No Job Total
Second Degree 13 32 45
No Second Degree 19 9 28
Total 32 41 X
Therefore X = 73


Question:
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 127 days
(B) 667 days
(C) 177 days
(D) 187 days
(E) 225 days

Answer: (E)

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


Question:
The area of a triangle is with base 18m and height 6m?
Options:
(A) 88 m2
(B) 10 m2
(C) 66 m2
(D) 54 m2
(E) 31 m2

Answer: (D)


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 30 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 7 hours. Harvesting machine K harvested how many acres of wheat per hour?
Options:
(A)  7
(B)  8
(C)  12
(D)  3
(E)  15

Answer: (D)

Rate of H = 7 acres/hr
Remaining land to be harvested = 100 - 30 = 70
Rate of H and K = 70/7 = 10 acres/hr
Rate of K = 10 - 7 = 3


Question:
How much is 80% of 45 is greater than 4/5 of 25?
Options:
(A) 15
(B) 57
(C) 16
(D) 16
(E) 73

Answer: (C)


Question:
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 310 m long?
Options:
(A) 34 Seconds
(B) 22 Seconds
(C) 41 Seconds
(D) 24 Seconds
(E) 27 Seconds

Answer: (E)

27 Seconds
Distance travelled = 140 + 310m = 450m
Speed = 60 * 5/8 = 50/3m
Time = 450 * 3/50 = 27 Seconds


Question:
One fourth of one third of two fifth of a number is 15. What will be the 40% of that number is?
Options:
(A) 120
(B) 130
(C) 150
(D) 180
(E) 250

Answer: (D)


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?
Options:
(A) 278
(B) 277
(C) 278
(D) 450
(E) 272

Answer: (D)


Question:
The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Options:
(A) 277
(B) 665
(C) 662
(D) 552
(E) 281

Answer: (B)


Question:
A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days?
Options:
(A) 5 days
(B) 8 days
(C) 6 days
(D) 3.15 days
(E) 2.75 days

Answer: (A)


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

Answer: (C)

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


Question:
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
(A) 6
(B) 3
(C) 4
(D) 9
(E) 2

Answer: (B)


Question:
Solve:-
555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 1110

Answer: (E)


Question:
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 145 m
(C) 240 m
(D) 135 m
(E) 250 m

Answer: (E)

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


Question:
Solve below question 4x + 1 = 37
Options:
(A) -8
(B) -9
(C) -5
(D) 9
(E) 1

Answer: (D)

1. Subtract 1 from both sides: 4x + 1 - 1 = 37 - 1 2. Simplify both sides: 4x = 36 3. Divide both sides by 4: 4. Simplify both sides: x = 9


Question:
A light has a rating of 110 watts, it is replaced with a new light that has 30% higher wattage. How many watts does the new light have?
Options:
(A) 143
(B) 145
(C) 156
(D) 134
(E) 100

Answer: (A)

Final number = Initial number + 30%(original number) = 110 + 30%(110) = 110 + 33 = 143.


Question:
An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 60
(C) 80
(D) 90
(E) 100

Answer: (B)

He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 6 ways
Hence one chair and one table can be arranged in 10 x 6 ways = 60 ways


Question:
A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?
Options:
(A) (5y-1) /(755-y)
(B) 5/(755+y)
(C) 5y/(755+y) -1
(D) 5y/(755+y)
(E) 5y

Answer: (B)

The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y).


Question:
5,9,17,29,49,__
Options:
(A) 79
(B) 80
(C) 81
(D) 82
(E) 83

Answer: (D)


Question:
What is the Mode of the following data set R- {1,2,7,9,6,6,7,7}
Options:
(A) 1
(B) 2
(C) 7
(D) 6
(E) 9

Answer: (C)

Mode of a set is the data point that is repeated the most number of times. In the set given, 7 is repeated.


Question:
An design manager has 10patterns of chairs & 9patterns of tables. In how many ways can he make a pair of table & chair?
Options:
(A) 20
(B) 40
(C) 80
(D) 90
(E) 100

Answer: (D)

He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 9 ways
Hence one chair and one table can be arranged in 10 x 9 ways = 90 ways


Question:
In a school of 850 boys, 46% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 136
(B) B) 627
(C) C) 153
(D) D) 721
(E) E) 159

Answer: (A)


Question:
A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 4 1/5 days
(E) 9 days

Answer: (D)

Work done by A in 3 days = 3/10
Remaining work = 7/10
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 7/10 * 6/1 = 21/5 = 4 1/5 days.


Question:
Find the wrong number below mentioned series
17, 600,6000,550,750
Options:
(A) 600
(B) 6000
(C) 17
(D) 550
(E) 750

Answer: (C)

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


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

Answer: (A)


Question:
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 33
(B) 77
(C) 48
(D) 99
(E) 22

Answer: (C)


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

Answer: (E)

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


Question:
Find the least number must be subtracted from 964807 so that remaining no.is divisible by 8?
Options:
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3

Answer: (A)

On dividing 964807 by 15 we get the remainder 7, so 7 should be subtracted


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?
Options:
(A) 40
(B) 99
(C) 77
(D) 66
(E) 32

Answer: (A)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec


Question:
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2450
(B) 2560
(C) 2650
(D) 3500
(E) 5184

Answer: (E)


Question:
What approximate value should come in place of the question mark (?) in the following equation?
16√524 + 1492 - 250.0521?
Options:
(A) 1600
(B) 1800
(C) 1900
(D) 2400
(E) 1400

Answer: (A)


Question:
Of the following two sentences, which one is against common sense?
Options:
- Sentence A: "He poured orange juice on his cereal."
- Sentence B: "He poured milk on his cereal."

Answer: Sentence A

Orange juice does not taste good on cereal.


Question:
Which of the following two sentences does not make sense?
Options:
- Sentence A: "He drinks apple."
- Sentence B: "He drinks milk."

Answer: Sentence A

An apple is a whole food and unable to be drunk without being juiced.


Question:
One of the following sentences is nonsensical. Which one is it?
Options:
- Sentence A: "A walk-in closet is larger than a normal closet."
- Sentence B: "A normal closet is larger than a walk-in closet."

Answer: Sentence B

A person cannot walk into a normal closet because it is smaller than a walk-in closet.


Question:
Which of these sentences doesn't make sense?
Options:
- Sentence A: "A GIRL WON THE RACE WITH HER FRIEND"
- Sentence B: "A GIRL WON THE RACE WITH HORSE"

Answer: Sentence B


Question:
Choose the sentence that goes against common sense.
Options:
- Sentence A: "Mark drank a notebook."
- Sentence B: "Mark drank water."

Answer: Sentence A

A notebook is a solid and by definition a person can only drink a liquid.


Question:
Pick which sentence is not logical.
Options:
- Sentence A: "He went to the police station to withdraw cash."
- Sentence B: "He went to the bank to withdraw cash."

Answer: Sentence A

Police station is a place to file criminal complaints.


Question:
Of the below sentences, which one does *not* make sense?
Options:
- Sentence A: "The caterpillar eats the rose bud"
- Sentence B: "Roses buds  eat caterpillars"

Answer: Sentence B

Rose buds are plants and can't eat animals.


Question:
Which of the following sentences is nonsensical?
Options:
- Sentence A: "Lisa played jazz music for Moses of the Old Testament yesterday."
- Sentence B: "Lisa played jazz music for the President of the USA yesterday."

Answer: Sentence A

Moses has been dead for a long time and could not have heard a concert yesterday.


Question:
Of the following two sentences, which one is against common sense?
Options:
- Sentence A: "My brother placed the car inside the box."
- Sentence B: "My brother placed the nuclear reactor inside the box."

Answer: Sentence B

Nuclear reactor is way too big to be placed in a box.


Question:
Which of the following two sentences does not make sense?
Options:
- Sentence A: "She took the chair for a walk"
- Sentence B: "She took the dog for a walk"

Answer: Sentence A

Chair is not use for walk. It is create uncomfortable situation.


Question:
One of the following sentences is nonsensical. Which one is it?
Options:
- Sentence A: "I cook fish very well"
- Sentence B: "I cook football very well"

Answer: Sentence B

Footballs are not food, and therefore are not cooked.


Question:
Which of these sentences doesn't make sense?
Options:
- Sentence A: "a dog is taken to a veterinarian after getting sick"
- Sentence B: "a dog is taken to a pool after getting sick"

Answer: Sentence B

A pool doesn't have medicine to fix the dog.


Question:
Choose the sentence that goes against common sense.
Options:
- Sentence A: "She rode her bike to the moon."
- Sentence B: "She rode her bike to the store."

Answer: Sentence A

The store is a reasonable place to ride one's bike, and we cannot ride our bike to outer space or the moon.


Question:
Pick which sentence is not logical.
Options:
- Sentence A: "A mobile phone shut down"
- Sentence B: "A boy shuts down"

Answer: Sentence B

Humans don't usually shut down, shut down is typically used to describe technology.


Question:
Of the below sentences, which one does *not* make sense?
Options:
- Sentence A: "He planted cucumber seeds in the couch."
- Sentence B: "He planted cucumber seeds in the garden."

Answer: Sentence A

Cucumbers need the conditions of a garden to grow instead of a couch.


Question:
Which of the following sentences is nonsensical?
Options:
- Sentence A: "I read stars"
- Sentence B: "Stars read me"

Answer: Sentence B

People read the stars and not the other way around.


Question:
Of the following two sentences, which one is against common sense?
Options:
- Sentence A: "A boy turns off the door"
- Sentence B: "A boy turns off the light"

Answer: Sentence A

A door is never on so can't be turned off.


Question:
Which of the following two sentences does not make sense?
Options:
- Sentence A: "He read a very long window King Tut."
- Sentence B: "He read a  book about King Tut."

Answer: Sentence A

Books have pages and words to read, while windows do not and serve a different purpose.


Question:
One of the following sentences is nonsensical. Which one is it?
Options:
- Sentence A: "He lost his phone at the park."
- Sentence B: "He lost his phone in the mouth of a griffin."

Answer: Sentence B

A griffin is a mythical creature that does not exist.


Question:
Which of these sentences doesn't make sense?
Options:
- Sentence A: "he kept a juice bottle into the fridge"
- Sentence B: "he kept a chair inside the fridge"

Answer: Sentence B


Question:
Choose the sentence that goes against common sense.
Options:
- Sentence A: "I read a tiger"
- Sentence B: "I read a book"

Answer: Sentence A

Tiger is not a book or any sentence, It is living thing.


Question:
Pick which sentence is not logical.
Options:
- Sentence A: "She drove to the grocery store."
- Sentence B: "She parachuted into the grocery store from a plane."

Answer: Sentence B

If you jumped from a plane to get groceries, you would have no way to get them home.


Question:
Of the below sentences, which one does *not* make sense?
Options:
- Sentence A: "The fish swam in the desert."
- Sentence B: "The fish swam in the ocean."

Answer: Sentence A

A desert has no water, so a fish could not swim there.


Question:
Which of the following sentences is nonsensical?
Options:
- Sentence A: "Jane saw a giraffe at the zoo."
- Sentence B: "Jane saw a giraffe in her purse."

Answer: Sentence B

A purse is too small for a giraffe to be in.


Question:
Of the following two sentences, which one is against common sense?
Options:
- Sentence A: "We use a clock to know the time"
- Sentence B: "We use book to know the time"

Answer: Sentence B

A book does not have the ability to show what time it is.


Question:
Which of the following two sentences does not make sense?
Options:
- Sentence A: "I run in the air"
- Sentence B: "I run in the ground"

Answer: Sentence A


Question:
One of the following sentences is nonsensical. Which one is it?
Options:
- Sentence A: "Jake ate artificial mango"
- Sentence B: "Jack ate mango"

Answer: Sentence A

Artificial mango isn't real food so it's not edible.


Question:
Which of these sentences doesn't make sense?
Options:
- Sentence A: "Baby is taking toys"
- Sentence B: "Baby is taking dictionary"

Answer: Sentence B

Dictionaries are heavy books that a baby cannot lift or take.


Question:
Choose the sentence that goes against common sense.
Options:
- Sentence A: "the school was open for summer"
- Sentence B: "the school was open for fall"

Answer: Sentence A

Schools are closed in the summer for break.


Question:
Pick which sentence is not logical.
Options:
- Sentence A: "The chocolate cried"
- Sentence B: "The chocolate melted"

Answer: Sentence A

Chocolate is an inanimate, non human thing and cannot cry.


Question:
Of the below sentences, which one does *not* make sense?
Options:
- Sentence A: "There are commercials in the middle of a television program"
- Sentence B: "There are barbecues in the middle of a television program"

Answer: Sentence B

Barbecues cannot be placed in a tv show.


Question:
Which of the following sentences is nonsensical?
Options:
- Sentence A: "He was tired and so he went to get into his car."
- Sentence B: "He was tired and so he went to get into his bed."

Answer: Sentence A


Question:
Of the following two sentences, which one is against common sense?
Options:
- Sentence A: "You sometimes puke after getting drunk"
- Sentence B: "You never puke after getting drunk"

Answer: Sentence B

Alcohol when consumed in high amounts can cause nausea and for many people this inducing vomiting.


Question:
Which of the following two sentences does not make sense?
Options:
- Sentence A: "You can use a jellyfish to hold checks."
- Sentence B: "You can use a checkbook holder to hold checks."

Answer: Sentence A

A jellyfish is a sea creature not intended to hold anything.


Question:
One of the following sentences is nonsensical. Which one is it?
Options:
- Sentence A: "Lawyers are people who play characters in television or theatre"
- Sentence B: "Actors are people who play characters in television or theatre"

Answer: Sentence A

Lawyers defend or prosecute people charge with crimes.


Question:
Which of these sentences doesn't make sense?
Options:
- Sentence A: "A giraffe drove a car"
- Sentence B: "A man drove a car."

Answer: Sentence A

Giraffes cannot drive or even fit inside a car.


Question:
Choose the sentence that goes against common sense.
Options:
- Sentence A: "My daughter always takes bath in a kitchen sink and avoids bath tub"
- Sentence B: "My daughter always takes bath in a shower and avoids bath tub"

Answer: Sentence A

The kitchen sink is smaller and harder to get into than the bathtub.


Question:
Pick which sentence is not logical.
Options:
- Sentence A: "Rotten food usually smells nasty."
- Sentence B: "Rotten food smells nice."

Answer: Sentence B

Rotten food is decomposing and producing toxic smelly gasses.