Question:
If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =
Options:
(A)  1155
(B)  2310
(C)  4620
(D)  30030
(E)  60060

Answer: (B)

The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310.


Question:
10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Options:
(A) 1/0
(B) 1/3
(C) 1/5
(D) 1/2
(E) 1/1

Answer: (C)

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


Question:
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Options:
(A) 200
(B) 1680
(C) 240
(D) 250
(E) 260

Answer: (B)


Question:
In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Options:
(A) 22
(B) 7
(C) 8
(D) 6
(E) 51

Answer: (B)

Let the number of cows be x and the number of hens be y. Then, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.


Question:
n 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) 2
(B) 7
(C) 8
(D) 6
(E) 9

Answer: (D)


Question:
The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?
Options:
(A) 30
(B) 18
(C) 28
(D) 25
(E) 32

Answer: (C)

(Mathematics + Algebra) - (Algebra + Geometry) = 28
Mathematics - Geometry = 28


Question:
What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 64√6
(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:
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Options:
(A) 18
(B) 99
(C) 77
(D) 62
(E) 12

Answer: (A)


Question:
A boy runs 200 metres in 48 seconds. What is his speed ?
Options:
(A) 10 km/hr
(B) 15 km/hr
(C) 11 km/hr
(D) 12 km/hr
(E) 14 km/hr

Answer: (B)


Question:
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 4 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6

Answer: (D)


Question:
The average of first 12 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 13
(E) 17

Answer: (D)

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


Question:
There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Options:
(A) 700
(B) 721
(C) 702
(D) 703
(E) None of the above

Answer: (B)

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


Question:
If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is?
Options:
(A) 1:1
(B) 1:2
(C) 1:9
(D) 1:6
(E) 1:4

Answer: (A)

A square and a rhombus on the same base are equal in are


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

Answer: (B)

7e/30 tells us that e 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:
A train 160 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 24 sec
(E) 60 sec

Answer: (D)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 160 + 140 = 300 m
Required time = 300 * 2/25 = 24 sec


Question:
Express 60 mps in kmph?
Options:
(A) 200
(B) 182
(C) 216
(D) 127
(E) 400

Answer: (C)


Question:
3 candidates in an election and received 3136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 52%
(D) 59%
(E) 61%

Answer: (C)


Question:
A corporation triples its annual bonus to 50 of its employees. What percent E of the employees’ new bonus is the increase?
Options:
(A) 50%
(B) 662⁄3%
(C) 100%
(D) 200%
(E) 300%

Answer: (B)

E of the employees’ new bonus is the increase Hence


Question:
Find a a prime number from the options below.
Options:
(A) 86
(B) 87
(C) 88
(D) 89
(E) 90

Answer: (D)


Question:
If n is an integer, then the least possible value of |48 - 7n| is?
Options:
(A) 1
(B) 0
(C) 5
(D) 4
(E) 2

Answer: (A)

|48 - 7n| represents the distance between 48 and 7n on the number line. Now, the distance will be minimized when 7n, which is multiple of 7, is closest to 48. Multiple of 7 which is closest to 48 is 49 (for n = 7), so the least distance is 1: |48 - 49| = 1.


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) 450
(B) 992
(C) 276
(D) 187
(E) 161

Answer: (A)


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

Answer: (E)

Work done by A in 5 days = 5/10 = 1/2
Remaining work = 1/2
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 1/2 * 6/1 = 3 days.


Question:
The average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?
Options:
(A) 195
(B) 175
(C) 184
(D) 201
(E) 188

Answer: (A)

The total of 21 numbers = 21X25 = 525
The total of first 10 and last 10 numbers is = 10 X 14+10 X 19 = 330
So, the middle number is (525 - 330 ) = 195


Question:
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 30, and 40 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  120/7
(E)  11/4

Answer: (D)

P1 takes 12 hrs
Rate for P2P3 together = 1/30 + 1/40 = 7/120
Therefore they take 120/7
Ratio = 120/7 =


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

Answer: (D)


Question:
How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a consonant, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 120
(D) 600
(E) 200

Answer: (E)

Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)
Fourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 5 ways = 200


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) 227
(B) 269
(C) 266
(D) 298
(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:
What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x
Options:
(A) 66
(B) 68
(C) 70
(D) 72
(E) 74

Answer: (C)


Question:
In what time will a cart 50 m long cross, if its speed be 36 km/hr?
Options:
(A) 25
(B) 5
(C) 15
(D) 20
(E) 30

Answer: (B)

Speed = 36 * 5/18 = 10 m/sec
Time taken = 50/10 = 5 sec.


Question:
There are 9 person among whom 2 are 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) 4!*2!
(B) 7!*2!
(C) 6!*2!
(D) 2!*1!
(E) 5!*1!

Answer: (C)


Question:
A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?
Options:
(A) 19
(B) 15
(C) 16
(D) 17
(E) 18

Answer: (B)

Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do the job. Then, 8:5::12:x = > 8x = 5*12 = > x = 15 days.


Question:
Find the largest 7 digit number which is exactly divisible by 88?
Options:
(A) 9998765
(B) 9998907
(C) 9999944
(D) 9999954
(E) 9999968

Answer: (E)

Largest 7 digit number is 9999999
After doing 9999999 ÷ 88 we get remainder 31
Hence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968


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!
(B) 7!*2!
(C) 7!*3!
(D) 8!*1!
(E) 8!*4!

Answer: (B)


Question:
How much is 55% of 40 is greater than 4/5 of 25?
Options:
(A) 29
(B) 776
(C) 2
(D) 12
(E) 99

Answer: (C)


Question:
One copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?
Options:
(A) 10 minutes
(B) 20 minutes
(C) 25 minutes
(D) 30 minutes
(E) 35 minutes

Answer: (D)

Total work done by both machines in a minute = 20 + 10 = 30 copies
Total number of copies required = 900
Time = 900/30 = 30 mins


Question:
A 160 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 64 kmph
(C) 52 kmph
(D) 86 kmph
(E) 76 kmph

Answer: (B)


Question:
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Options:
(A) Rs.2205
(B) Rs.2200
(C) Rs.2160
(D) Rs.2040
(E) Rs.2050

Answer: (A)


Question:
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of C?
Options:
(A) 2250
(B) 3000
(C) 3018
(D) 3019
(E) 3012

Answer: (A)


Question:
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 2287
(B) 27
(C) 299
(D) 287
(E) 150

Answer: (E)

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


Question:
The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
Options:
(A) 3
(B) 8
(C) 5
(D) 6
(E) 4

Answer: (E)

If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields such a number.


Question:
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 34%
(B) 56%
(C) 57%
(D) 67%
(E) 78%

Answer: (C)


Question:
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 6 kmph
(C) 7 kmph
(D) 8 kmph
(E) 9 kmph

Answer: (D)

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


Question:
Four of the five parts numbered (a),(b),(c),(d) and (e) in the following sequence are exactly equal. Which part is not equal to the other four? The number of that part is the answer
Options:
(A) 120 × 12 – 22 × 20
(B) 10% of 5000 + 2⁄5 of 1200
(C) 80 × 40 – 20 × 110
(D) 8640 ÷ 60 + 53.5 × 16
(E) 5314 – 3029 – 1285

Answer: (B)


Question:
Find the product of the localvalue and absolutevalue of 5 in 20568?
Options:
(A) 1000
(B) 2500
(C) 1200
(D) 5000
(E) 1600

Answer: (B)

Local value of 5 = 5 x 100 = 500
Place value of 5 = 5
There fore = 5 x 500 = 2500


Question:
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 12 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?
Options:
(A) 31.25
(B) 31.5
(C) 33.75
(D) 35.0
(E) 37.5

Answer: (D)

Rate of flow of water in second hour = 12 gallons per hour
Rate of flow of water in first hour = 12/(3/2) = 8 gallons per hour
Rate of flow of water in third hour = (125/100)* 12 = (5/4) * 12 = 15 gallons per hour
Number of gallons of water that flowed through the pipe during the entire 3 hours = 12+8+15 = 35 gallons


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 82. How many points altogether did the team score?
Options:
(A) 662
(B) 672
(C) 652
(D) 646
(E) 721

Answer: (D)


Question:
The speed of a train is 90 kmph. What is the distance covered by it in 12 minutes?
Options:
(A) 15
(B) 18
(C) 77
(D) 52
(E) 42

Answer: (B)


Question:
How much more would Rs.60000 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) 1446
(E) 923

Answer: (D)


Question:
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 2277
(B) 2882
(C) 2800
(D) 2677
(E) 2211

Answer: (C)


Question:
The average of six results is 15 and that of the first five is 13. The sixth result is?
Options:
(A) 20
(B) 25
(C) 15
(D) 22
(E) 18

Answer: (B)


Question:
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 40, and 50 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
Options:
(A)  4/11
(B)  1/2
(C)  15/22
(D)  200/9
(E)  11/4

Answer: (D)

P1 takes 12 hrs
Rate for P2P3 together = 1/40 + 1/50 = 9/200
Therefore they take 200/9
Ratio = 200/9 =


Question:
What is the sum of the 1st 5 prime numbers greater than 20?
Options:
(A) 121
(B) 151
(C) 168
(D) 164
(E) 161

Answer: (E)

Required sum = (23 + 29 + 31 + 37 + 41) = 161
Note: 1 is not a prime number


Question:
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 6
(B) 5
(C) 7
(D) 8
(E) 2

Answer: (D)

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


Question:
The edge of a cube is 5a cm. Find its surface?
Options:
(A) 150a2 cm2
(B) 170a2 cm2
(C) 125a2 cm2
(D) 175a2 cm2
(E) 120a2 cm2

Answer: (A)


Question:
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Options:
(A) 12
(B) 14
(C) 27
(D) 53
(E) 86

Answer: (B)

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


Question:
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 9490
(E) 1268

Answer: (D)


Question:
If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 189km
(B) 195km
(C) 197km
(D) 200km
(E) 205km

Answer: (A)

14 m/s = 14 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 14 * 18/5 * 15/4 km = 189 km.


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) 5 days
(D) 4 days
(E) 2 days

Answer: (B)


Question:
If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 135 km
(B) 125 km
(C) 115 km
(D) 105 km
(E) 235 km

Answer: (A)

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


Question:
A car traveled from San Diego to San Francisco at an average speed of 66 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36.
(D) 42.
(E) 44.

Answer: (E)

Let the time taken be = x
One way distance = 66x
Total distance traveled = 2 * 66x = 132x
Total time taken = x + 2x = 3x
Average speed = 132x/3x = 44


Question:
A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 20 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/125
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53

Answer: (A)

The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 20/100 = 1/5
Three are independent;probability of rich and fair complexioned girl is:
(1/4) Ã—(1/5) Ã— (1/5) = 1/125


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) 3
(B) 4
(C) 5
(D) 6
(E) 7

Answer: (D)


Question:
For any numbers w and z, w#z = w^3z(8 - w^2). If both z and w#z are positive numbers, which of the following could be a value of w?
Options:
(A) 9
(B) 3
(C) 0
(D) −2
(E) −9

Answer: (E)

Since w#Z and w are positive, we need to take the value of w such that w#z or w^3z(8 - w^2) is positiv


Question:
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 39
(B) 27
(C) 30
(D) 26
(E) 29

Answer: (C)


Question:
Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?
Options:
(A) 70
(B) 71
(C) 75
(D) 78
(E) 74

Answer: (D)

There will be 2 series
1st: 72 73 74 75 76 (Increasing by 1)
2nd: 76 77 78 79 (Increasing by 1)
Final: 72 76 73 77 74 78 75


Question:
There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon.
Options:
(A) 8a/3
(B) 7a/3
(C) 5a/3
(D) a/3
(E) 11a/3

Answer: (A)

Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it
Going this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3.


Question:
Dick and Jane each saved $3,000 in 1989. In 1990 Dick saved 8 percent more than in 1989, and together he and Jane saved a total of $5,000. Approximately what percent less did Jane save in 1990 than in 1989?
Options:
(A) 8%
(B) 25%
(C) 41%
(D) 59%
(E) 70%

Answer: (C)

Dick saved = $ 3240
Jane saved = $ 1760 (jane saved $1240 less than she did the prior year)
Jane saved approximately $1240/$3000 (close to 41%) less in 1990


Question:
How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 28
(C) 26
(D) 27
(E) 23

Answer: (A)


Question:
What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 36âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2

Answer: (A)

Area of an equilateral triangle = âˆš3/4 S2
If S = 12, Area of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;


Question:
In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-
Options:
(A) 9/18
(B) 9/16
(C) 9/11
(D) 9/12
(E) 9/13

Answer: (B)

(1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 12×0+12×51612×0+12×516 = 532532
(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 12×1+12×43212×1+12×432 = 9/16


Question:
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have
Options:
(A)  4
(B)  6
(C)  9
(D)  10
(E)  5

Answer: (E)

To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and bottom, hence 4+1 = 5.


Question:
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of B?
Options:
(A) 2160
(B) 3000
(C) 3018
(D) 3019
(E) 3012

Answer: (A)


Question:
There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?
Options:
(A) 7
(B) 5
(C) 13
(D) 20
(E) 4

Answer: (B)

If you split 20 pieces of candy between 4 kids each kid will get 5 pieces of candy


Question:
In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?
Options:
(A) 3628800
(B) 3628800
(C) 3628812
(D) 3428800
(E) 3368800

Answer: (B)

Option 'B'
The total number of arrangements is
10P10 = 10! = 3628800


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

Answer: (C)


Question:
If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 3/2 %
(C) 21 3/7 %
(D) 22 1/2 %
(E) 22 1/2 %

Answer: (C)


Question:
X can finish a work in 30 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) 10
(C) 6
(D) 8
(E) 9

Answer: (B)

Work done by X in 1 day = 1/30
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) / (1/30) = 10


Question:
There are different 6 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 90
(B) 100
(C) 110
(D) 180
(E) 30

Answer: (E)

Maximum points of intersection between n different circles = n*(n - 1) = 6*5 = 30


Question:
If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?
Options:
(A) xy/z
(B) (x + y) /z
(C) xz/y
(D) (x - y) /z
(E) (x + z) /y

Answer: (E)

As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.


Question:
A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 288
(E) 271

Answer: (D)


Question:
If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/7 %
(B) 22 8/2 %
(C) 22 1/9 %
(D) 22 1/2 %
(E) 22 2/2 %

Answer: (D)


Question:
The average of first 9 odd numbers is?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9

Answer: (E)

Sum of 9 odd no. = 90
Average = 81/9 = 9


Question:
Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet?
Options:
(A) o
(B) p
(C) e
(D) r
(E) s

Answer: (A)

10th letter from your left is J
7th letter from your right is T
The mid letter between J and T is O.


Question:
A can do a job in 45 days and B can do it in 30 days. A and B working together will finish four times the amount of work in ------- days?
Options:
(A) 30days
(B) 45 days
(C) 80 days
(D) 72 1/2 days
(E) 72 days

Answer: (E)


Question:
In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue?
Options:
(A) 25/153
(B) 28/153
(C) 5/17
(D) E=4/9
(E) E=12/17

Answer: (E)


Question:
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 75 miles
(D) 120 miles
(E) 400 miles

Answer: (C)

Answer = C. 75 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 15 miles, so effective difference = 90 - 15 = 75 miles


Question:
The inverse ratio of 9: 2: 1 is?
Options:
(A) 1:9:18
(B) 2:9:18
(C) 2:7:18
(D) 2:13:18
(E) 2:9:15

Answer: (B)


Question:
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 360 pastries ?
Options:
(A) 6 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 3 hours.

Answer: (A)

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


Question:
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Options:
(A) 2 mins
(B) 3 mins
(C) 9 mins
(D) 8 mins
(E) 6 mins

Answer: (B)


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

Answer: (C)

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


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

Answer: (A)

One day work of A and B = 1/1
One day work of B and C = 1/2
One day work of C and A = 1/3
2(A + B + C) = 1/1+ 1/2 + 1/3
2(A + B + C) = 11/6
(A + B + C) = 11/12
Number of days required = 12/11 days.


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

Answer: (E)

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


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


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

Answer: (B)

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


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

Answer: (A)

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


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

Answer: (C)


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

Answer: (E)


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

Answer: (B)


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

Answer: (D)

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


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

Answer: (D)

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


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

Answer: (B)

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


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

Answer: (C)


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

Answer: (A)

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


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

Answer: (B)

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


Question:
There are 3 teams each with 3 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
(A) 50
(B) 23
(C) 27
(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 9 possibilities (3*3) since each team has 3 players. So there are a total of 27 possibilities (9*3). I hope this method is easier for you to understand.


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (A)

Original perimeter = x
Hence original side = x/4
New side = 3x/4
New perimeter = 4*3x/4 = 3x


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (B)


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

Answer: (D)

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


Question:
In an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  8
(B)  64
(C)  50
(D)  144
(E)  160

Answer: (A)


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

Answer: (E)


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

Answer: (B)

Any number multiplied by 2 has to be an even number


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

Answer: (C)

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


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

Answer: (A)

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

Answer: (B)

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


Question:
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 6
(B) 7
(C) 8
(D) 9
(E) 5

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (E)


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

Answer: (A)


Question:
There are 13person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 4!*2!
(B) 7!*2!
(C) 6!*1!
(D) 10!*2!
(E) 5!*1!

Answer: (D)


Question:
The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 19002
(B) 19028
(C) 27788
(D) 19000
(E) 27711

Answer: (D)

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


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

Answer: (E)


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

Answer: (D)


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

Answer: (A)

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


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

Answer: (E)

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


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

Answer: (C)


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

Answer: (C)

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


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

Answer: (C)


Question:
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Options:
(A) 4000
(B) 6000
(C) 8000
(D) 10000
(E) None of these

Answer: (C)


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

Answer: (A)

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


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

Answer: (B)


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

Answer: (C)

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


Question:
The average age of a family of 6 members is 34 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?
Options:
(A) 15
(B) 18
(C) 21
(D) 12
(E) 27

Answer: (E)

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


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (D)


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

Answer: (E)


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

Answer: (E)

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


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

Answer: (A)


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

Answer: (D)


Question:
In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec

Answer: (B)


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

Answer: (D)

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


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

Answer: (C)


Question:
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Options:
(A) 2205
(B) 2888
(C) 2669
(D) 2770
(E) 2771

Answer: (A)


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

Answer: (D)


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (A)

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


Question:
Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Options:
(A) 8 hrs 18 min
(B) 8 hrs 85 min
(C) 8 hrs 15 min
(D) 7 hrs 15 min
(E) 8 hrs 25 min

Answer: (C)

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


Question:
A train 360 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Options:
(A) 29
(B) 18
(C) 48
(D) 99
(E) 32

Answer: (E)


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

Answer: (D)

{Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 51 - {both} + 40
{both} = 16%.


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

Answer: (C)


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

Answer: (B)

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


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

Answer: (D)

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


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

Answer: (B)


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

Answer: (C)


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

Answer: (E)

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


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

Answer: (D)


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

Answer: (A)

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


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

Answer: (C)

Option 'C'
The total number of arrangements is
6P6 = 6! = 720


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

Answer: (B)

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


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

Answer: (A)


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

Answer: (D)

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


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

Answer: (C)

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


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

Answer: (B)


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

Answer: (A)


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

Answer: (E)


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

Answer: (E)


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

Answer: (B)

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


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

Answer: (D)

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


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

Answer: (A)


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

Answer: (C)

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


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

Answer: (C)

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


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

Answer: (D)


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

Answer: (B)


Question:
When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder Q when N is divided by 30?
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 Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.


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

Answer: (C)

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


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

Answer: (D)

Number of ounces per cylinder 8
Number of cylinders 6
Ounces needed 48
Ounces used 16


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

Answer: (D)


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

Answer: (C)


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

Answer: (A)


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

Answer: (C)

Original perimeter = x
Hence original side = x/4
New side = 7x/4
New perimeter = 4*7x/4 = 7x


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

Answer: (C)

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


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

Answer: (E)

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


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

Answer: (A)

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


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

Answer: (D)

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


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

Answer: (E)


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

Answer: (D)


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

Answer: (C)


Question:
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 356
(B) 250
(C) 127
(D) 279
(E) 150

Answer: (B)

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


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

Answer: (A)

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


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

Answer: (B)


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

Answer: (E)

Local value of 4 = 4 x 100 = 400
Place value of 4 = 4
There fore = 4 x 400 = 1600


Question:
From among the 35 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1190
(E) 1460

Answer: (D)

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


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

Answer: (A)

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


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

Answer: (D)

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


Question:
A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 77 kmph
(C) 54 kmph
(D) 72 kmph
(E) 88 kmph

Answer: (D)


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

Answer: (B)


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

Answer: (B)


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

Answer: (B)


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

Answer: (D)


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

Answer: (B)


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

Answer: (E)

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


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

Answer: (A)

Rs 1552 income = Rs 128
By investing Rs 97 income = 128/1552*97 = Rs 8
Divdend = 8%


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

Answer: (D)


Question:
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 240 pastries ?
Options:
(A) 2 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 3 hours.

Answer: (D)

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


Question:
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 30229
(B) 3000
(C) 278
(D) 274
(E) 287

Answer: (B)


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

Answer: (C)

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


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

Answer: (D)


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

Answer: (C)


Question:
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 55 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches

Answer: (A)

A 54 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 54 matches were played.


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

Answer: (B)


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

Answer: (D)

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


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

Answer: (B)

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


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

Answer: (B)

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


Question:
Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 sec
(B) 7 sec
(C) 7 2/2 sec
(D) 8 sec
(E) 9 sec

Answer: (A)


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

Answer: (A)


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

Answer: (A)

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


Question:
A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 7 kmph
(C) 9 kmph
(D) 8 kmph
(E) 10 kmph

Answer: (E)

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


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

Answer: (A)


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

Answer: (B)

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


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

Answer: (A)


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

Answer: (D)


Question:
In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
(A) 48
(B) 1720
(C) 2880
(D) 5040
(E) 10080

Answer: (A)

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


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

Answer: (C)


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

Answer: (A)

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


Question:
10 men and 15 women together can complete a work in 3 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 1 2/7 days
(B) 64 2/7 days
(C) 1 7/7 days
(D) 1 8/7 days
(E) 62 2/5 days

Answer: (B)

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


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

Answer: (E)

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


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

Answer: (C)


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

Answer: (B)


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

Answer: (D)

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


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (C)


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

Answer: (C)


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

Answer: (C)

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


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

Answer: (A)


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

Answer: (D)


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

Answer: (C)

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


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

Answer: (C)


Question:
A certain car uses 12 gallons of gasoline in traveling 300 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 5
(D) 8
(E) 10

Answer: (C)


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

Answer: (C)


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

Answer: (A)

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


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

Answer: (C)

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


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

Answer: (C)


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

Answer: (B)


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

Answer: (E)


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

Answer: (E)


Question:
A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 49 sec
(E) 28 sec

Answer: (E)

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 210 + 140 = 350 m
Required time = 350 * 2/25 = 28 sec


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

Answer: (A)

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


Question:
A family pays $800 per year for an insurance plan that pays 65 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,200
(C) $1,400
(D) $1,500
(E) $2,200

Answer: (D)

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


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

Answer: (E)


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

Answer: (A)


Question:
A family pays $850 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,250
(C) $1,400
(D) $1,800
(E) $2,200

Answer: (B)

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


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

Answer: (B)


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

Answer: (B)

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


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

Answer: (B)


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

Answer: (C)


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

Answer: (B)

31. only the perfect squares between 1 to 1k


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

Answer: (B)


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

Answer: (B)


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

Answer: (E)


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

Answer: (A)


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

Answer: (C)


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

Answer: (B)

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


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

Answer: (C)

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


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

Answer: (B)


Question:
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.1 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 156 sec
(D) 134 sec
(E) 2 mins 44 sec

Answer: (C)


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

Answer: (C)


Question:
There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 40
(B) 46
(C) 50
(D) 55
(E) 60

Answer: (B)

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


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

Answer: (D)


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

Answer: (A)

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


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

Answer: (C)

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


Question:
How many terminating zeroes W 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:
The average age of a class of 12 students is 8 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 21 Years
(D) 34 Years
(E) 49 Years

Answer: (C)

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


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

Answer: (B)


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

Answer: (D)

(1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
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 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 8 min
(C) 9 min
(D) 6 min
(E) 1 min

Answer: (A)


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

Answer: (C)

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


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

Answer: (B)

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


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

Answer: (B)

9 days ago- 2
8 days ago- 4
7 days ago- 8
6 days ago- 16
5 days ago- 32
4 days ago- 64
3 days ago- 128
2 days ago- 256
Yesterday- 512
Today- 1024


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

Answer: (B)


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

Answer: (C)


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

Answer: (A)


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

Answer: (D)


Question:
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 7 1/8
(B) 7 1/6
(C) 7 1/5
(D) 7 1/2
(E) 7 1/1

Answer: (D)


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

Answer: (C)


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

Answer: (C)


Question:
If a man can cover 16 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 216 km
(D) 1887 km
(E) 177 km

Answer: (C)

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


Question:
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Options:
(A) 225 meter
(B) 200 meter
(C) 250 meter
(D) 190 meter
(E) 180 meter

Answer: (B)

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


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

Answer: (A)


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

Answer: (B)

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


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

Answer: (D)


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

Answer: (A)


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

Answer: (D)


Question:
How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Options:
(A) 482
(B) 1205
(C) 992
(D) 837
(E) 923

Answer: (B)


Question:
How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 17 sec
(B) 21 sec
(C) 25 sec
(D) 27 sec
(E) 29 sec

Answer: (D)


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

Answer: (C)

Each of the numbers except 66 is multiple of 5.


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

Answer: (D)

Diver = (5*3)+3 = 18
3* Quotient = 18
Quotient = 6
Dividend = (Divisor * Quotient) + Remainder
Dividend = (18* 6) + 5 = 113


Question:
At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 9 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30

Answer: (C)

Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 25


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

Answer: (A)


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

Answer: (B)


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

Answer: (D)


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

Answer: (D)

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


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

Answer: (D)

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


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

Answer: (E)

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


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

Answer: (C)


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

Answer: (C)


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

Answer: (A)

Using the elimination method the option that fits this description is 27
7-2 = 5 (unit's digit that exceeds its ten's digit by 3)
27*9 = 243 (the product of the given number and the sum of its digits is equal to 175)


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

Answer: (D)


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

Answer: (A)

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


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

Answer: (C)


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

Answer: (E)


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

Answer: (B)


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

Answer: (C)


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

Answer: (A)

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


Question:
If X is the sum of first 30 positive even integers and Y is the sum of first 30 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 10
(B) 25
(C) 30
(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 30 positive even integers minus the sum of first 30 positive odd integers will be 30.


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

Answer: (D)

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


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

Answer: (E)


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

Answer: (E)

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


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

Answer: (A)

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


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

Answer: (D)

P1 takes 12 hrs
Rate for P2P3 together = 1/20 + 1/20 = 1/10
Therefore they take 10
Ratio = 10/1 =


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

Answer: (C)

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


Question:
In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
(A) 720
(B) 1720
(C) 48
(D) 5040
(E) 10080

Answer: (C)

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


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

Answer: (D)


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

Answer: (A)


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

Answer: (C)


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

Answer: (B)

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


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

Answer: (E)


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

Answer: (C)

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


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

Answer: (A)

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