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

Answer: (D)

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


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (E)


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

Answer: (A)


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

Answer: (B)

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


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

Answer: (D)


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

Answer: (B)


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

Answer: (B)

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


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

Answer: (E)

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


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

Answer: (D)

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


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

Answer: (C)


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


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

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

Answer: (A)

639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.


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

Answer: (B)

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


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

Answer: (D)

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


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

Answer: (E)


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

Answer: (A)

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


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

Answer: (D)

Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13


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

Answer: (B)

T of the employees’ new bonus is the increase Hence


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

Answer: (B)

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


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

Answer: (B)

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


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

Answer: (B)

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


Question:
If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
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:
Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 208.
Options:
(A) 15
(B) 37
(C) 55
(D) 26
(E) 73

Answer: (D)

Using the elimination method the option that fits this description is 26
6-2 = 4 (unit's digit that exceeds its ten's digit by 3)
26*8 = 208 (the product of the given number and the sum of its digits is equal to 175)


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

Answer: (D)

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


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

Answer: (E)

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


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

Answer: (A)

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


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

Answer: (C)


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

Answer: (A)

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


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (B)


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

Answer: (C)


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

Answer: (C)


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

Answer: (A)

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


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

Answer: (E)

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


Question:
Of the 50 electronics components that a factory must
manufacture, 70 percent would be most e¢ ciently manufactured
by Machine A and the remaining 30 percent would be most
e¢ ciently manufactured by Machine B, though either machine
could manufacture any of the 50 components. If 36 percent of
the components were manufactured by Machine A and the
remainder were manufactured by Machine B, what is the
highest possible number of components that were
manufactured by the machine that would manufacture them
the most efficiently?
Options:
(A) 30
(B) 31
(C) 32
(D) 33
(E) 34

Answer: (D)

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


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

Answer: (A)

Cost price of article = 48$
% of overhead cost = 25
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 25 = 50%


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

Answer: (D)

Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11


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

Answer: (A)

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


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

Answer: (B)

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


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

Answer: (B)

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


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (D)

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


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (E)

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


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

Answer: (E)

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


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (D)

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


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

Answer: (C)

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


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

Answer: (B)


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

Answer: (D)

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


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

Answer: (D)

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


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

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

Answer: (D)


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

Answer: (A)


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

Answer: (A)

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


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

Answer: (B)

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


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

Answer: (B)

{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 65 - {Both correctly} + 5
{Both correctly} = 55.


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

Answer: (B)

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


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

Answer: (E)


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (A)


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

Answer: (D)


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

Answer: (D)


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

Answer: (C)


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

Answer: (C)

Use simultaneous equations / By combination
4x = 5y + 4
5x = 6y + 6
Multiply (1) by 6
Multiply (2) by -5
Get rid of y, and x = 6
Then 5x = 30


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

Answer: (B)

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


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

Answer: (A)

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


Question:
What is the median from the below series
90, 92, 93, 88, 95, 88, 97, 87, and 98
Options:
(A) 85
(B) 89
(C) 92
(D) 98
(E) 100

Answer: (C)

Ordering the data from least to greatest, we get:
87, 88, 88, 90, 92, 93, 95, 96, 98
The median score is 92.


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

Answer: (D)

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


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

Answer: (C)


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

Answer: (C)


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (A)

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


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

Answer: (A)


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

Answer: (D)

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


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

Answer: (C)

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


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

Answer: (E)


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

Answer: (C)


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (B)


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

Answer: (A)

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


Question:
The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 30
(E) 42

Answer: (D)


Question:
A can do a piece of work in 6 hours; B and C together can do it in 4 hours, which A and C together can do it in 3 hours. How long will B alone take to do it?
Options:
(A) 8hours
(B) 6hours
(C) 14hours
(D) 12hours
(E) 5hours

Answer: (D)

A's 1 hour work = 1/6;
(B + C)'s 1 hour work = 1/4;
(A + C)'s 1 hour work = 1/3
(A + B + C)'s 1 hour work = (1/4 + 1/6) = 5/12
B's 1 hour work = (5/12 - 1/3) = 1/12
B alone will take 12 hours to do the work.


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) 33 7/3%
(D) 32 1/3%
(E) 23 1/3%

Answer: (B)


Question:
A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph

Answer: (A)


Question:
If a man can cover 8 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 108
(B) 180
(C) 107
(D) 168
(E) 122

Answer: (A)

8 m/s = 8 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 8 * 18/5 * 15/4 km = 108 km.


Question:
A train 490 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 28 sec
(D) 20 sec
(E) 25 sec

Answer: (C)


Question:
A man rows his boat 72 km downstream and 30 km upstream, taking 3 hours each time. Find the speed of the stream?
Options:
(A) 6 kmph
(B) 5 kmph
(C) 2 kmph
(D) 8 kmph
(E) 7 kmph

Answer: (E)

Speed downstream = d/t = 72/(3) = 24 kmph
Speed upstream = d/t = 30/(3) = 10 kmph
The speed of the stream = (24 - 10)/2 = 7 kmph


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

Answer: (C)


Question:
There are 47 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63

Answer: (E)


Question:
Find 96 ×× 98
Options:
(A) 92/8
(B) 92/12
(C) 92/13
(D) 92/10
(E) 92/11

Answer: (A)

Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So


Question:
A certain league has two divisions. The respective divisions had 11 and 13 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)  41
(B)  42
(C)  45
(D)  47
(E)  49

Answer: (D)

Overall, there can be 47 minuses. Tus, it is


Question:
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Options:
(A) 75
(B) 45
(C) 23
(D) 28
(E) 96

Answer: (A)


Question:
John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase?
Options:
(A) 16.12%
(B) 16.66%
(C) 30%
(D) 17.66%
(E) 18.1%

Answer: (C)


Question:
The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 78
(D) 25
(E) 23

Answer: (C)


Question:
In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Options:
(A) 230
(B) 240
(C) 260
(D) 280
(E) 360

Answer: (E)

Number of ways = 61/21 6X5X4X3X2X1 - 360


Question:
What is the maximum number of pieces of birthday cake of size 3” by 3” that can be cut from a cake 21” by 21”?
Options:
(A) 5
(B) 7
(C) 49
(D) 20
(E) 25

Answer: (C)

The prompt is essentially asking for the maximum number of 3x3 squares that can be cut from a larger 21 by 21 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 7 'pieces' each, we have (7)(7) = 49 total smaller squares (at maximum).


Question:
During a sale, the price of a pair of shoes is marked down 14% 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) 16%
(E) 90%

Answer: (D)

Assume the price = 100
Price during sale = 86
Price after sale = 100
Percent increase = 14/86*100 = 16% approx.


Question:
10 men and 15 women together can complete a work in 8 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) 600 days

Answer: (E)

1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/8
15 women's 1 day work = (1/8 - 10/100) = 1/40
1 woman's 1 day work = 1/600
1 woman alone can complete the work in 600 days.


Question:
Find the least number must be subtracted from 378461 so that remaining no.is divisible by 13?
Options:
(A) 4
(B) 5
(C) 7
(D) 6
(E) 8

Answer: (B)

On dividing 378461 by 13 we get the remainder 5, so 5 should be subtracted


Question:
Grace has 18 jellybeans in her pocket. She has 10 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15

Answer: (E)

The worst scenario is when she takes 10 red and 4 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.


Question:
Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?
Options:
(A) 9
(B) 10
(C) 13
(D) 16
(E) 18

Answer: (B)

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.


Question:
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Options:
(A) 49 sec
(B) 50 sec
(C) 48 sec
(D) 43 sec
(E) 32 sec

Answer: (C)


Question:
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
Options:
(A) 5/12
(B) 4/13
(C) 5/17
(D) 3/12
(E) 8/9

Answer: (A)

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


Question:
The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?
Options:
(A) 59
(B) 64
(C) 61
(D) 72
(E) 65

Answer: (E)

The total of five numbers = 5X41 = 205
The total of first 2 and last 2 numbers is = 2 X 32+2 X 38 = 140
So, the middle number is (205 - 140 ) = 65


Question:
There are 3 teams each with 5 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) 75
(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 25 possibilities (5*5) since each team has 5 players. So there are a total of 75 possibilities (25*3).


Question:
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
Options:
(A) 2266
(B) 7767
(C) 2522
(D) 1677
(E) 2671

Answer: (C)


Question:
A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
(A) 8%
(B) 26%
(C) 45%
(D) 52%
(E) 56%

Answer: (B)

(10/108)/(5/20) = 20/27 = 74% it means that 10/108 represents only 74%. Therefore a decrease of 26%.


Question:
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 14

Answer: (E)

3150*y = A^2
3 * 1050 * y = A^2
3*5*210*y = A^2
3*5*7*3*2*5*y = A^2
2*3^2*5^2*7*y = A^2
Concept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7
Hence 14 ;


Question:
A man took loan from a bank at the rate of 13% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Options:
(A) Rs. 1846
(B) Rs. 18846
(C) Rs. 13846
(D) Rs. 2000
(E) Rs. 14846

Answer: (C)


Question:
Which of the following numbers is divisible by 4?
Options:
(A) 27767
(B) 10224
(C) 26778
(D) 26679
(E) 26711

Answer: (B)

10224. This is the only option with last two digits divisible by 4


Question:
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 122456
(B) 145778
(C) 456678
(D) 235467
(E) 220030

Answer: (E)


Question:
What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 64√5
(B) 64√9
(C) 64√4
(D) 36√3
(E) 64√2

Answer: (D)

Area of an equilateral triangle = √3/4 S2
If S = 12, Area of triangle = √3/4 * 12 * 12 = 36√3 cm2;


Question:
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 4 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 60 gallons
(B) 100 gallons
(C) 120 gallons
(D) 160 gallons
(E) 130 gallons

Answer: (D)

Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 4 gallons
Volume of whole = 4 * 40 = 160 gallons.


Question:
The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) 22 kmph
(B) 40 kmph
(C) 78 kmph
(D) 50 kmph
(E) 23 kmph

Answer: (D)

Speed downstream = 70 + 20 = 90 kmph
Speed upstream = 70 - 20 = 50 kmph


Question:
Steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 88 mph
(C) 60 mph
(D) 64 mph
(E) 66.67 mph

Answer: (B)

Average Speed = Total distance/ Total time = (40 * 5 + 80 * 3)/(5 + 3) = 440/5 = 88


Question:
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) (2x + 3y) 2
(B) (2y – x) 2 + y(16x + 5y)
(C) 4x(x + 2y)  + y(4x + 9y)
(D) (2x + 2y) 2 + y(4x + 5y)
(E) (2x – y) 2 + 8y(2x + y)

Answer: (B)


Question:
If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Options:
(A) 820 acres
(B) 660 acres
(C) 620 acres
(D) 720 acres
(E) 920 acres

Answer: (B)


Question:
A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?
Options:
(A) P and A are cousins
(B) P is the maternsl uncle of A
(C) Q is the maternal grandfather of A
(D) C and P are sisters
(E) none

Answer: (B)


Question:
A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?
Options:
(A) 5/12
(B) 4/5
(C) 5/4
(D) 5/3
(E) 12/5

Answer: (A)

Let Corn profit = 3x
Wheat profit = x
Truffle Profit = 4/5 * 3x = 12/5 * x
Wheat Profit / Truffle Profit = x / [12/5 * x] = 5/12


Question:
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 1680
(B) 1800
(C) 2000
(D) 2100
(E) 2300

Answer: (A)


Question:
Which of these numbers is different from the others?
Options:
(A) 678
(B) 690
(C) 696
(D) 702
(E) 708

Answer: (D)

All of the numbers are multiples of 6. 702 is the only number that is also a multiple of 9.


Question:
The average of 10 numbers is calculated as 15. 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) 22
(B) 88
(C) 16
(D) 83
(E) 82

Answer: (C)


Question:
What is the units digit of the expression 14^7−20^4?
Options:
(A)  8
(B)  3
(C)  4
(D)  6
(E)  0

Answer: (A)

I think answer on this one should be A too. Since we know that 14^7>20^4, as Will said one should always check if the number is positive.


Question:
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Options:
(A) 6 hours
(B) 8 hours
(C) 3 hours
(D) 9 hours
(E) 1 hours

Answer: (C)

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


Question:
A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train.
Options:
(A) 150 meter
(B) 100 meter
(C) 105 meter
(D) 120 meter
(E) 130 meter

Answer: (A)

Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
(25) * 6 = 150 meter


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) 200
(C) 279
(D) 992
(E) 208

Answer: (D)


Question:
3 candidates in an election and received 6136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 46%
(B) 49%
(C) 57%
(D) 59%
(E) 61%

Answer: (A)


Question:
If x and y are unique prime integers, which of the following must be even?
Options:
(A) x−y
(B) x−2y
(C) 2x−2y
(D) 2x−y
(E) xy^2

Answer: (C)

Any number multiplied by 2 has to be an even number


Question:
What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?
Options:
(A) 0%
(B) 20% increase
(C) 36% decrease
(D) 1% decrease
(E) Insufficient data

Answer: (C)


Question:
In what time will a railway train 70 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) 7 sec
(E) 1 sec

Answer: (D)


Question:
A train 210 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) 12 sec
(E) 25 sec

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) 288
(B) 2778
(C) 279
(D) 450
(E) 278

Answer: (D)


Question:
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22
(B) 71
(C) 54
(D) 77
(E) 99

Answer: (C)


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 cm
(B) 15 cm
(C) 30 cm
(D) 40 cm
(E) 45 cm

Answer: (A)


Question:
There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. How many blue balls were there in the beginning?
Options:
(A) 12.
(B) 9.
(C) 8.
(D) 7.
(E) 6.

Answer: (C)


Question:
Find the average of all the numbers between 6 and 34 which are divisible by 5.
Options:
(A) 22
(B) 20
(C) 288
(D) 277
(E) 21

Answer: (B)


Question:
There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?
Options:
(A)  1
(B)  2
(C)  46
(D)  50
(E)  97

Answer: (B)

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


Question:
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 23
(B) 27
(C) 28
(D) 29
(E) 31

Answer: (B)

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


Question:
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Options:
(A) 5/16
(B) 5/12
(C) 5/19
(D) 5/17
(E) 5/15

Answer: (B)

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


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) 28
(B) 27
(C) 15
(D) 19
(E) 12

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:
X can finish a work in 21 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) 3
(B) 5
(C) 7
(D) 8
(E) 9

Answer: (C)

Work done by X in 1 day = 1/21
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) / (1/21) = 7


Question:
Find the largest 2 digit number which is exactly divisible by 88?
Options:
(A) 88
(B) 89
(C) 99
(D) 54
(E) 90

Answer: (A)

Largest 2 digit number is 99
After doing 99 ÷ 88 we get remainder 11
Hence largest 2 digit number exactly divisible by 88 = 99 - 11 = 88


Question:
Grace has 20 jellybeans in her pocket. She has 12 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 17

Answer: (E)

The worst scenario is when she takes 12 red and 4 green, total of 16 jellybeans, and still doesn't have 3 distinct colors. But the next draw (17th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.


Question:
Find the probability that the number drawn is a factor of 50.
Options:
(A) 1/25
(B) 1/50
(C) 3/25
(D) 3/50
(E) 7/50

Answer: (D)

The factors of 50 are 1, 2, 5, 10, 25, 50
Therefore, required probability = 6/100 = 3/50.


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

Answer: (A)


Question:
There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 7!*1!
(B) 7!*2!
(C) 6!*2!
(D) 8!*2!
(E) 6!*2!

Answer: (B)


Question:
How much more would Rs.30000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 725
(C) 992
(D) 837
(E) 723

Answer: (E)


Question:
It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now?
Options:
(A) 7:30
(B) 7:00
(C) 8:00
(D) 1:28
(E) 2:40

Answer: (A)

If it's 7:00 and 30 minutes pass buy, it will be 7:30


Question:
A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 77
(C) 66
(D) 55
(E) 10

Answer: (E)


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

Answer: (A)


Question:
John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 225 miles.
(D) 265 miles.
(E) 275 miles.

Answer: (C)

The total distance D traveled by John is given by
D = 45 * 2 + 3 * 45 = 225 miles.


Question:
A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 287
(B) 699
(C) 677
(D) 168
(E) 100

Answer: (E)

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


Question:
If the average (arithmetic mean) of the four numbers K, 3K + 3, 3K – 4 and 5K + 1 is 60, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  20
(D)  23
(E)  25 3/10

Answer: (C)


Question:
3 candidates in an election and received 4136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 50%
(D) 59%
(E) 61%

Answer: (C)


Question:
The average age of a class of 40 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 56 Years
(C) 32 Years
(D) 34 Years
(E) 49 Years

Answer: (B)

Total age of students is 40X15 = 600 Years
Total age inclusive of teacher = 41X (15+1) = 656
So, Teacher's age is 656-600 = 56 Yrs
There is a shortcut for these type of problems
Teacher's age is 15+(41X1) = 56 Years


Question:
A small company employs 3 men and 4 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
Options:
(A)  1/14
(B)  1/7
(C)  20/70
(D)  18/70
(E)  1/2

Answer: (D)

Total ways to choose 4 employees from 8 employees = 8C4
Two women = 4C2
Two Men = 3C2
P = (5C2 * 3C2)/8C2 = 18/70 hence


Question:
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 53 ounces of this substance?
Options:
(A) 27
(B) 36
(C) 42
(D) 22
(E) 147

Answer: (D)

112 ounces of a substance has a volume of 48 cubic inches
53 ounces of a substance has a volume of (48/112)*53 = 22 cubic inches


Question:
A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 12/28
(B) 48/19
(C) 16/48
(D) 18/48
(E) 12/64

Answer: (B)

One day work of A and B = 1/2
One day work of B and C = 1/6
One day work of C and A = 1/8
2(A + B + C) = 1/2 + 1/6 + 1/8
2(A + B + C) = 19/24
(A + B + C) = 19/48
Number of days required = 48/19 days.


Question:
How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ?
Options:
(A) 3
(B) 1
(C) 4
(D) 0
(E) 2

Answer: (D)

A number ending with 7 can never be a perfect square.


Question:
In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
(A) 1/2
(B) 2/3
(C) 3/5
(D) 3/7
(E) 4/9

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

Answer: (C)

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


Question:
A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Options:
(A) 7 days
(B) 8 days
(C) 3 days
(D) 9 days
(E) 2 days

Answer: (B)


Question:
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
(A) 9
(B) 8
(C) 7
(D) 5
(E) 3

Answer: (A)


Question:
A Train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.
Options:
(A) 60 kmph
(B) 75 kmph
(C) 80 kmph
(D) 85 kmph
(E) 72 kmph

Answer: (E)

In 12s the train crosses the pole and in 27 sec the train crosses one more stationary train
In 15 sec the train travels a distance of 300 mtrs
Speed = 300/15 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph


Question:
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 83. How many points altogether did the team score?
Options:
(A) 662
(B) 672
(C) 654
(D) 642
(E) 721

Answer: (C)


Question:
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 65 sec
(B) 16 sec
(C) 87 sec
(D) 99 sec
(E) 96 sec

Answer: (B)


Question:
A owner of a mart earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, he earns an income of:
Options:
(A) 18
(B) 21
(C) 22
(D) 20
(E) 30

Answer: (A)

2nd day he earns = 2(2 – 1)
3rd day he earns = 2(3 – 1)
On 10th day he earns 2(10 -1) = 18 rupees


Question:
The average of first 13 natural numbers is?
Options:
(A) 5.2
(B) 5.5
(C) 7
(D) 9
(E) 10

Answer: (C)

Sum of 13 natural no. = 182/2 = 91
Average = 91/13 = 7


Question:
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) 40% of 160 + 1⁄3 of 240
(B) 120% of 1200
(C) 38 × 12 – 39 × 8
(D) 1648 – 938 – 566
(E) 6 1⁄2 of 140 – 2.5 × 306.4

Answer: (B)

Others are equal to 144 whereas (b) equals 1440.


Question:
What is the Mode of the following data set S- {1,2,6,9,6,6,10}
Options:
(A) 9
(B) 6
(C) 10
(D) 1
(E) 2

Answer: (B)

Mode of a set is the data point that is repeated the most number of times. In the set given, 6 is repeated.


Question:
A family pays $800 per year for an insurance plan that pays 70 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) $1,400
(D) $1,800
(E) $2,200

Answer: (C)

Upfront payment for insurance plan = 800$
Family needs to pay 30 % of first 1000 $ in expense = 300$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 300 = 1100 $
Total amount paid by insurance plan for first 1000 $ = 800 $
Total amount paid by family will equal amount paid by plan when medical expense = 1400 $
(Since insurance plan will pay 100% of amount that exceeds 1100$ )


Question:
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 18 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 30 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.

Answer: (A)

The ratio is 2:3 = gym:ride, so (18)(3/2) = 27 minutes at the gym, and 27 + 18 = 45 minutes exercise, so (2/3)(45) = 30 minutes yog


Question:
A motorcyclist goes from Bombay to Pune, a distance of 160 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) 2:5
(C) 1:4
(D) 1:1
(E) 1:6

Answer: (B)


Question:
If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 10
(B) 25
(C) 50
(D) 75
(E) 100

Answer: (A)

First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 10 positive even integers minus the sum of first 10 positive odd integers will be 10.


Question:
Select Odd number:
6, 9, 15, 21, 24, 28, 30
Options:
(A) 20
(B) 21
(C) 24
(D) 28
(E) 30

Answer: (D)

Each of the numbers except 28, is a multiple of 3.


Question:
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
Options:
(A) 15
(B) 66
(C) 88
(D) 1
(E) 12

Answer: (A)


Question:
If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 85, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  31
(D)  23
(E)  25 3/10

Answer: (C)


Question:
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 30
(B) 35
(C) 40
(D) 47
(E) 50

Answer: (C)

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


Question:
A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Options:
(A) 7
(B) 8
(C) 9
(D) 24
(E) 23

Answer: (D)

To construct 2 lines, three points can be selected out of 4 in 4 x 3 x 2 = 24 ways. Now, if third line goes from the third-point to the first point, a triangle is formed, and if it goes to the fourth point, a triangle is not formed. So, there are 24 ways to form a triangle and 24 ways of avoiding triangle.


Question:
In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?
Options:
(A) 17/25
(B) 18/49
(C) 23/30
(D) 23/36
(E) 29/36

Answer: (C)

Girls = 3/5, boys are 2/5
Absentees are (2/9)*(3/5) + (1/4)*(2/5) = 7/30
Present Students are 23/30


Question:
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Options:
(A) 150
(B) 78
(C) 268
(D) 268
(E) 298

Answer: (A)


Question:
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 4
(D) 5
(E) 6

Answer: (B)

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


Question:
The area of a triangle is with base 10m and height 5m?
Options:
(A) 11
(B) 25
(C) 787
(D) 122
(E) 12

Answer: (B)


Question:
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 56 ounces of this substance?
Options:
(A) 27
(B) 36
(C) 42
(D) 24
(E) 147

Answer: (D)

112 ounces of a substance has a volume of 48 cubic inches
56 ounces of a substance has a volume of (48/112)*56 = 24 cubic inches


Question:
If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  22
(D)  23
(E)  25 3/10

Answer: (A)


Question:
If X is the sum of first 40 positive even integers and Y is the sum of first 40 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 0
(B) 25
(C) 40
(D) 75
(E) 100

Answer: (C)

First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 40 positive even integers minus the sum of first 40 positive odd integers will be 40.


Question:
In how many different ways can the letters of the word "BICYCLE" be rearrangement?
Options:
(A) 5040
(B) 5045
(C) 5140
(D) 5010
(E) 5020

Answer: (A)

Option 'A'
The total number of arrangements is
7P7 = 7! = 5040


Question:
An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720

Answer: (C)


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, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
Options:
(A) 12
(B) 19
(C) 72
(D) 180
(E) 720

Answer: (C)


Question:
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 67%
(C) 57%
(D) 69%
(E) 70%

Answer: (C)


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

Answer: (B)

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


Question:
The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 280
(B) 290
(C) 342
(D) 250
(E) 253

Answer: (C)


Question:
A man sells two articles for Rs.3600 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss?
Options:
(A) 16% loss
(B) 400
(C) 4000
(D) 324
(E) 8% LOSS

Answer: (A)


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

Answer: (A)

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


Question:
Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15

Answer: (E)

The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.


Question:
Find the average of the first 21 natural numbers?
Options:
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12

Answer: (D)

Average of the first 'n' natural numbers = (n + 1)/2
We get (21+ 1)/2 = 11


Question:
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2354
(B) 2644
(C) 2645
(D) 4577
(E) 5184

Answer: (E)


Question:
Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Options:
(A) 2x2 – 3xy + y2
(B) (2x + y) (x – y)
(C) (x – y) 2 + x(x – y)
(D) (2x – y) 2 – x(2x – y)
(E) (2x – y) 2 – 2x2 + xy

Answer: (B)

Other parts are equal to
2x2 + y2 – 3xy.


Question:
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 9261
(B) 1261
(C) 9621
(D) 9162
(E) 5000

Answer: (A)


Question:
Simple interest on a certain sum is 16 over 25 of the sum. Find the rate per cent and time, if both are equal.
Options:
(A) 8% and 8 years
(B) 6% and 6 years
(C) 10% and 10 years
(D) 12 % and 12 years
(E) None of these

Answer: (A)


Question:
if deepak has 5 pants and 3 shirts how many combinations can deepak make?
Options:
(A) 10
(B) 9
(C) 15
(D) 20
(E) 25

Answer: (C)

If deepak can only choose one of each, there are 5*3 = 15 possible combinations.


Question:
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:8
(C) 1:1
(D) 1:6
(E) 1:3

Answer: (A)


Question:
Calculate the circumference of a circular field whose radius is 10 centimeters.
Options:
(A) 20 π cm
(B) 19 π cm
(C) 28 π cm
(D) 25 π cm
(E) 30 π cm

Answer: (A)

Circumference C is given by
C = 2πr = 2π*10 = 20 π cm


Question:
80 370 ? 1550 2440 3530
Options:
(A) 900
(B) 840
(C) 750
(D) 860
(E) 960

Answer: (D)


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) 35, 25 kmph
(B) 80, 40 kmph
(C) 40, 60 kmph
(D) 50, 55 kmph
(E) 50, 65 kmph

Answer: (B)

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


Question:
The average mark obtained by 22 candidates in an examination is 47. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 44
(C) 49
(D) 68
(E) 76

Answer: (B)

It is clear that 22 x 47 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 44


Question:
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 6, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Options:
(A) 27
(B) 22
(C) 24
(D) 26
(E) 30

Answer: (A)

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


Question:
If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 878
(D) 168
(E) 122

Answer: (B)

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


Question:
If 10 crates have 96 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 40
(D) 20
(E) 0

Answer: (C)

Each crate requires 4 apples and totally there are 10 crates so required apples = 10 * 4 = 40


Question:
In his room, Dumbo has three trousers. One of them is black, the second is blue, and the third is brown. In his room, he also has four shirts. One of them is black and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?
Options:
(A) 1/12
(B) 1/6
(C) 1/2
(D) 1/4
(E) 1/3

Answer: (C)

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


Question:
Find the average of the first 23 natural numbers?
Options:
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12

Answer: (E)

Average of the first 'n' natural numbers = (n + 1)/2
We get (23 + 1)/2 = 12


Question:
a contract was signed to complete a job in 30 days. after how many days can 5 men leave then so that the job can be completed in 35 days
Options:
(A) 30 days.
(B) 35 days.
(C) 45 days.
(D) 55 days.
(E) 65 days.

Answer: (B)

If no of men used initially is x, then after (35-x) days 5 men can leave so that the job can be completed in 35 days.


Question:
Jerry covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
(A) 29 Kmph
(B) 15 Kmph
(C) 23 Kmph
(D) 22 Kmph
(E) 19 Kmph

Answer: (B)

Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distance of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph


Question:
What is the units digit of the expression 14^7−17^4?
Options:
(A)  0
(B)  3
(C)  4
(D)  8
(E)  6

Answer: (D)

I think answer on this one should be D too. Since we know that 14^7>17^4, as Will said one should always check if the number is positive.


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

Answer: (D)


Question:
In Sam's hanger there are 22 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.

Answer: (C)

Total boxes = 22
Filled with toys = 16
Filled with appliance = 6
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 6 - 3 = 3


Question:
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 277
(D) 200
(E) 191

Answer: (D)

Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m


Question:
Find the odd man out
4, 9,16, 36, 64, 144
Options:
(A) 144
(B) 16
(C) 9
(D) 36
(E) 4

Answer: (C)

9 is square of 3 which is odd number where as all others are squares of even numbers.


Question:
3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 140kg then find the average weight of all the 7 rounds?
Options:
(A) 98.5 kgs
(B) 80 kgs
(C) 76.5 kgs
(D) 67.5 kgs
(E) 58.2 kgs

Answer: (B)


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

Answer: (D)

Total boxes = 23
Filled with toys = 16
Filled with appliance = 7
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 7 - 3 = 4


Question:
Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?
.
Options:
(A) 25
(B) 27.5
(C) 28
(D) 30
(E) 32

Answer: (C)

3 hours at a speed of 20 miles per hour gives us Distance = 20*3 = 60 miles
6 hours at a speed of 30 miles per hour gives us Distance = 30*6 = 180 miles
1 more hour at 40 miles per hour gives us Distance = 40*1 = 40 miles
Total Distance = 60+180+40 = 280 miles
Total Time = 3+6+1 = 10 Hours
Average Speed = 280 / 10 = 28 Miles per hour


Question:
A train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 545
(C) 39
(D) 40
(E) 09

Answer: (C)


Question:
Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Options:
(A) 3/140
(B) 1/280
(C) 3/280
(D) 3/35
(E) 68/280

Answer: (E)


Question:
A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 277
(D) 258
(E) 100

Answer: (E)

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


Question:
3 candidates in an election & received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidategot in that election?
Options:
(A) 50%
(B) 52%
(C) 57%
(D) 60%
(E) 65%

Answer: (C)


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) 80,70 kmph
(B) 87,40 kmph
(C) 80,40 kmph
(D) 70,40 kmph
(E) 80,44 kmph

Answer: (C)

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


Question:
In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
Options:
(A) 1/2
(B) 2/3
(C) 3/5
(D) 4/7
(E) 4/9

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:
Two trains are moving at 60 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) 5 sec
(B) 6 sec
(C) 7 sec
(D) 8 sec
(E) 9 sec

Answer: (C)


Question:
At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 5/3%
(C) 3 1/9%
(D) 3 1/5%
(E) 3 1/7%

Answer: (A)


Question:
Find the least number must be subtracted from 531742 so that remaining no.is divisible by 3?
Options:
(A) 4
(B) 5
(C) 1
(D) 2
(E) 3

Answer: (C)

On dividing 531742 by 3 we get the remainder 1, so 1 should be subtracted


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) 10
(B) 20
(C) 30
(D) 40
(E) 50

Answer: (B)


Question:
A football field is 7200 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 450
(B) 600
(C) 750
(D) 2400
(E) 3200

Answer: (B)

Answer A) 9600 yards need 1200 lbs
1 Yard will need 1200/7200 = 1/6 lbs
3600 Yards will need 1/6* 3600 Yards = 600lbs


Question:
Find the odd man out
1, 3, 7, 11, 15, 18, 21
Options:
(A) 3
(B) 7
(C) 18
(D) 21
(E) 1

Answer: (C)

The 18 is the only even number in the series.


Question:
A owes B Rs.50. He agrees to pay B over a number of consecutive days on a Monday, paying single note or Rs.10 or Rs.20 on each day. In how many different ways can A repay B.
Options:
(A) 2
(B) 8
(C) 9
(D) 6
(E) 5

Answer: (B)

He can pay by all 10 rupee notes = 1 way
3 Ten rupee + 1 twenty rupee = 4!3!×1!4!3!×1! = 4 ways
1 Ten rupee + 2 twenty rupee notes = 3!2!×1!3!2!×1! = 3 ways
Total ways = 1 + 4 + 3 = 8


Question:
There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63

Answer: (D)


Question:
A train 250 m long, running with a speed of 50 km/hr will pass a tree in?
Options:
(A) 18sec
(B) 20sec
(C) 25sec
(D) 30sec
(E) 1min

Answer: (A)


Question:
Which one of the following is not a prime number?
Options:
(A) 31
(B) 61
(C) 71
(D) 91
(E) 101

Answer: (D)

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


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) 66
(C) 28
(D) 41
(E) 61

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:
A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Options:
(A) 6
(B) 2
(C) 3
(D) 4
(E) 98

Answer: (B)

Work done by A in 2 days = 2/5
Remaining work = 3/5
Work done by both A and B in one day = 1/5 + 1/10 = 3/10
Remaining work = 3/5 * 10/3 = 2 day


Question:
Find a a prime number from the options below.
Options:
(A) 58
(B) 59
(C) 60
(D) 62
(E) 64

Answer: (B)


Question:
How many ways can six girls be selected from a group of ten girls?
Options:
(A) ⁶C₄
(B) ¹⁰C₄
(C) 4C₄
(D) ¹⁰P₄
(E) ¹⁰P₅

Answer: (B)

Six members can be selected from ten members in
¹⁰C₆ = ¹⁰C₄ ways


Question:
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 857.48 = 743.095 + ?
Options:
(A) 870
(B) 790
(C) 580
(D) 770
(E) 890

Answer: (C)


Question:
A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 32 sec
(D) 49 sec
(E) 60 sec

Answer: (C)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 260 + 140 = 400 m
Required time = 400 * 2/25 = 32 se


Question:
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Options:
(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
(B) Ram = Rs.2500, Shyam = Rs.500, Mohan = Rs.250
(C) Ram = Rs.1200, Shyam = Rs.1300, Mohan = Rs.750
(D) Ram = Rs.3500, Shyam = Rs.500, Mohan = Rs.250
(E) None

Answer: (A)


Question:
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 10000
(B) 28869
(C) 10002
(D) 18089
(E) 10004

Answer: (A)


Question:
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2356
(B) 3465
(C) 4232
(D) 4225
(E) 5184

Answer: (E)


Question:
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 88
(E) 12

Answer: (A)


Question:
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
Options:
(A) 1
(B) 6
(C) 7
(D) 5
(E) 43

Answer: (B)

A's 1 day work = 1/10; B's 1 day work = 1/15
(A + B)'s 1 day work = (1/10 + 1/15) = 1/6
So, both together will finish the work in 6 days.


Question:
In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
Options:
(A) 48
(B) 24
(C) 120
(D) 60
(E) None of these

Answer: (A)


Question:
If the two hands in a clock are 3 minutes divisions apart,then the angle between them is
Options:
(A) 3°
(B) 18°
(C) 24°
(D) 60°
(E) None of these

Answer: (B)

In a clock, each minute makes 6°
∴ 3 minutes will make 6 × 3 = 18°


Question:
Calculate the circumference of a circular field whose radius is 7 centimeters.
Options:
(A) 11 π cm
(B) 15 π cm
(C) 1 π cm
(D) 4 π cm
(E) 14 π cm

Answer: (E)

Circumference C is given by
C = 2πr = 2π*7 = 14 π cm


Question:
If the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is?
Options:
(A) 16
(B) 127
(C) 12
(D) 18
(E) 150

Answer: (E)

Percentage of profit = 30/20 * 100 = 150%


Question:
A certain league has three divisions. The respective divisions had 10, 12 and 15 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)  70
(B)  72
(C)  73
(D)  78
(E)  80

Answer: (C)

Overall, there can be 73 minuses. Tus, it is


Question:
A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 50
(B) 75
(C) 100
(D) 120
(E) 25

Answer: (A)

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


Question:
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
(B) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.759
(C) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.758
(D) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.752
(E) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.122

Answer: (A)


Question:
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 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) 300

Answer: (E)


Question:
In how many different ways can the letters of the word "CLAIM" be rearrangement?
Options:
(A) 100
(B) 120
(C) 130
(D) 143
(E) 145

Answer: (B)

The total number of arrangements is
5P5 = 5! = 120


Question:
A wheel rotates 20 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 120 metre
(C) 220 metre
(D) 1200 metre
(E) 420 metre

Answer: (E)

Number of times wheel moves in 1 hour = 20 * 60 = 1200
:. Distance moves = (1200*35) cms = 42000 cms
In metres = 420 metr


Question:
What number comes next in the following series? 4, 13, 40, 121, 364, x
Options:
(A) 1093
(B) 1100
(C) 1301
(D) 1400
(E) 1713

Answer: (A)


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

Answer: (E)

Any number multiplied by 2 has to be an even number henc


Question:
By how much is 70% of 120 greater than 35% of 200.
Options:
(A) 15
(B) 14
(C) 13
(D) 16
(E) 17

Answer: (B)


Question:
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 200 m
(C) 324 m
(D) Cannot be determined
(E) None of these

Answer: (B)

Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m


Question:
Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?
Options:
(A) 6.3
(B) 5.3
(C) 6.2
(D) 6.1
(E) 4.3

Answer: (A)

This is a simple multiplication series. Each number is 3 times greater than the previous number.


Question:
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Options:
(A) 624
(B) 702
(C) 756
(D) 812
(E) 832

Answer: (C)

Total men are 7
Total women are 6 so we select 5 peoples in both and at least 3 are men
7c3*6c2+7c4*6c1+7c5*6c0 then we get the 756


Question:
Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b)
(C) a(a + 3b)  + 2b(a + 3b)
(D) (3a + b) (a + 2b)
(E) a(a + 2b)  + 3b(a + 2b)

Answer: (D)

The other parts are equal to a2 + 5ab + 6b2.


Question:
A certain league has two divisions. The respective divisions had 7 and 9 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)  30
(B)  31
(C)  34
(D)  36
(E)  38

Answer: (B)

Overall, there can be 31 minuses. Tus, it is


Question:
What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation?
Options:
(A) 2599980
(B) 235500
(C) 923580
(D) 765432
(E) 765434

Answer: (A)


Question:
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% 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) 15%
(E) 10%

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 50 - {both} + 40
{both} = 15%.


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

Answer: (D)

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


Question:
Two pipes can fill a tank in 30 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
Options:
(A) 5 Hours
(B) 7 Hours
(C) 8 Hours
(D) 9 Hours
(E) 15 Hours

Answer: (E)

In 1 hour it fill 1/30 + 1/12 - 1/20 = 1/15
So fill tank fill up in 15 Hours


Question:
Steve traveled the first 2 hours of his journey at 40 mph and the last 2 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 56.67 mph
(C) 60 mph
(D) 64 mph
(E) 66.67 mph

Answer: (C)

Average Speed = Total distance/ Total time = (40 * 2 + 80 * 2)/(2 + 2) = 240/4 = 60


Question:
In what time will a railway train 120 m long moving at the rate of 70 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: (D)


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

Answer: (C)

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


Question:
The edge of a cube is 5a cm. Find its surface?
Options:
(A) 24a8
(B) 150a2
(C) 24a1
(D) 24a2
(E) 24a7

Answer: (B)


Question:
The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 720, then the other is:
Options:
(A) 8
(B) 10
(C) 12
(D) 4
(E) 6

Answer: (C)


Question:
If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 5 strokes ?
Options:
(A) 31/32
(B) 7/8
(C) 1/4
(D) 1/8
(E) 1/16

Answer: (A)

Left After 1st stroke = 1/2
Left After 2nd stroke = 1/2 * 1/2 = 1/4
Left After 3rd stroke = 1/2 * 1/4 = 1/8
Left After 4th stroke = 1/2 * 1/8 = 1/16
Left After 5th stroke = 1/2 * 1/16 = 1/32
So removed = 1- 1/32 = 31/32


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

Answer: (E)

The total distance D traveled by John is given by
D = 55 * 2 + 3 * 55 = 275 miles.


Question:
How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 229
(B) 87
(C) 26
(D) 12
(E) 667

Answer: (D)


Question:
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Options:
(A) 12000
(B) 6000
(C) 8000
(D) 10000
(E) None of these

Answer: (A)


Question:
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?
Options:
(A) 20
(B) 22
(C) 24
(D) 1
(E) 30

Answer: (D)

Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1.


Question:
A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Options:
(A) 665
(B) 625
(C) 630
(D) 645
(E) 628

Answer: (A)


Question:
A man purchased 3 blankets @ Rs.200 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) 100
(B) 200
(C) 300
(D) 400
(E) 500

Answer: (C)


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 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 140
(B) 146
(C) 152
(D) 162
(E) 170

Answer: (B)

Number of newborns that can die in first month = 1/10 * 200 = 20
Survived = 180
Number of newborns that can die in second month = 1/10 * 180 = 18
Survived = 162
Number of newborns that can die in third month = 1/10 * 162 = 16
Survived = 146


Question:
A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?
Options:
(A) 4
(B) 9
(C) 2
(D) 11
(E) None

Answer: (A)

1/7 + 1/14 + 1/28 = 7/28 = 1/4
All three can finish the work in 4 days


Question:
If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Options:
(A) Rs. 60, Rs. 90, Rs. 389
(B) Rs. 60, Rs. 90, Rs. 360
(C) Rs. 60, Rs. 90, Rs. 368
(D) Rs. 60, Rs. 90, Rs. 329
(E) Rs. 60, Rs. 30, Rs. 329

Answer: (B)


Question:
What is the greatest positive integer x such that 2^x is a factor of 8^10?
Options:
(A) 5
(B) 9
(C) 10
(D) 20
(E) 30

Answer: (E)


Question:
30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14

Answer: (C)

Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (510 – 150) = 360
∴ Average price of a pen = 360⁄60 = 12


Question:
What is the sum of all the prime numbers greater than 10 but less than 40?
Options:
(A) 190
(B) 189
(C) 180
(D) 199
(E) 1981

Answer: (C)

Required sum = (11 +13 + 17 + 19 + 23+ 29 + 31 + 37) = 180
Note: 1 is not a prime number


Question:
There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated?
Options:
(A) 20
(B) 30
(C) 40
(D) 50
(E) 10

Answer: (D)

In the beginning it is 99 pounds water and 1 pound other stuff. At the end the 1 pound other stuff is 2 percent so the total weight is 50 pounds. 50 pounds - 1 pound other stuff = 49 pounds water. So 99 pounds - 49 pounds = 50 pounds water lost.


Question:
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 18
(D) 25
(E) 23

Answer: (B)


Question:
A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?
Options:
(A) 1 hours
(B) 2 hours
(C) 3 hours
(D) 4 hours
(E) 5 hours

Answer: (B)

In 30 minutes the man would have droven 20 miles, when his wife starts. Now both are driving in the same direction. So speed of wife related to man is 10(50-40) miles/hr. So wife will cover 20 miles in 2 hours to meet the man.


Question:
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 4

Answer: (A)


Question:
How much 70% of 100 is greater than 60% of 80?
Options:
(A) 18
(B) 99
(C) 22
(D) 26
(E) 71

Answer: (C)