Quant Questions

1

A person bought a refrigerator worth Rs. 22,800 with 12.5% interest compounded yearly. At the end of first year he paid Rs. 8,650 and at the end of second year Rs. 9,125. How much will he have to pay at the end of third year to clear the debt?

  1. Rs. 9,990
  2. Rs. 10,000 
  3. Rs. 10,590
  4. Rs. 11,250
2

A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

  1. 6
  2. 10
  3. 12
  4. 15
3

If X is between -3 and -1, and Y is between -1 and 1, then X2 - Y2 is in between which of the following?

  1. -9 and 1
  2. -9 and -1
  3. 0 and 8
  4. 0 and 9
4

There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?

  1. 4
  2. 6
  3. 8
  4. 12
5

A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?

  1. Rs. 10
  2. Rs. 20
  3. Rs. 30
  4. Rs. 40
6

A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

  1. 12
  2. 15
  3. 16
  4. 18
7

The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD = ½ LD:

What is the ratio between the distances covered by vehicles A and B in the time interval OL?

  1. 1 : 2
  2. 2 : 3
  3. 3 : 4
  4. 1 : 1
8

How many diagonals can be drawn by joining the vertices of an octagon?

  1. 20
  2. 24
  3. 28
  4. 64
9

19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and pants. What is the number of boys wearing full uniform?

  1. 3
  2. 5
  3. 6
  4. 8
10

A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?

  1. 100
  2. 120
  3. 150
  4. 300
11

Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

  1. 6 : 5
  2. 4 : 3
  3. 6 : 1
  4. 4 : 2
12

A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?

  1. 1/2
  2. 4/7
  3. 5/9
  4. 12/13
13

A bookseller sold 'a' number of Geography textbooks at the rate of Rs. x per book, 'a + 2' number of History textbooks at the rate of Rs. (x + 2) per book and 'a - 2' number of Mathematics textbooks at the rate of Rs. (x - 2) per book. What is his total sale in Rs.?

  1. 3x + 3a
  2. 3ax + 8
  3. 9ax
  4. x3 a3
14

While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred's place is greater than the digit at ten's place, and the digit at ten's place is greater than the digit at unit's place?

  1. 61
  2. 64
  3. 85
  4. 91
15

A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is

  1. 1
  2. 2
  3. 3
  4. 4
16

There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

  1. 5
  2. 3
  3. 18
  4. 10
17

Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

  1. 75 m 60 cm
  2. 50 m 40 cm
  3. 25 m 20 cm
  4. 75 m 60 cm
18

In a fire range, four shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hit the target once in every 5, 6, 7 and 8 seconds respectively. If all of them hit the target at 9:00 am, when will they hit their target together again.

  1. 9:04 am
  2. 9:08 am
  3. 9:10 am
  4. 9:14 am
19

What is the number of integral solutions of the equations HCF(a,b) = 5 and a + b = 65?

  1. Exactly one
  2. Infinitely many
  3. Less than 65
  4. None
20

If for integer a, b and c if HCF(a,b) = 1 and HCF(a,c) = 1, then which one of the following is correct?

  1. HCF(a,bc) = a
  2. HCF(a,bc) = b
  3. HCF(a,bc) = 1
  4. None
21

What is the HCF of 8(x5 - x3 + x) and 28(x6 + 1)?

  1. (x4 + 1 - x2)
  2. 4(x4 + 1 - x2)
  3. 2(x4 + 1 - x2)
  4. None
22

The product of two numbers is 6912 and their GCD is 24. What is their LCM

  1. 296
  2. 288
  3. 286
  4. 280
23

What is the LCM of 2/3, 7/9, 14/15?

  1. 14/3
  2. 1/3
  3. 2/3
  4. 7/3
24

The sum of two positive integers is 52 and their LCM is 168. What is the ratio between the numbers?

  1. 2 : 3
  2. 5 : 4
  3. 7 : 6
  4. 7 : 8
25

The HCF of two expressions p and q is 1. What is the reciprocal of their LCM?

  1. p + q
  2. p – q
  3. pq
  4. (pq)-1
26

What is the LCM of x3 + 8, x2 + 5x + 6 and x3 + 4x2 + 4x?

  1. x (x + 2)2 (x + 3) (x2 - 2x + 4)
  2. x (x - 2)2 (x - 3) (x2 + 2x + 4)
  3. (x + 2)2 (x + 3) (x2 - 2x + 4)
  4. (x - 2)2 (x - 3) (x2 - 2x + 4)
27

A student on her first 3 tests receive an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests?

  1. N + 10 
  2. N + 4
  3. N + 5 
  4. N + 20
28

In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?

  1. 25th
  2. 26th
  3. 28th
  4. 27th
29

In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?

  1. 10 days
  2. 25 days
  3. 20 days
  4. 15 days
30

A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc. The penalty for each succeeding day being 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?

  1. Rs. 4950 
  2. Rs. 4250
  3. Rs. 650
  4. Rs. 3600
31

A sum of Rs.700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is Rs.20 less than its preceding prize, what is the least value of the prize?

  1. Rs. 30
  2. Rs. 40
  3. Rs. 60
  4. Rs. 80
32

56 - 1 is divisible by

  1. 5
  2. 13
  3. 31
  4. None of these
33

If n is any odd number greater than 1, then n(n2 - 1) is

  1. divisible by 24 always
  2. divisible by 96 always
  3. divisible by 48 always
  4. None of these
34

Let N = 553 + 173 - 723. N is divisible by

  1. both 3 and 17
  2. both 7 and 13
  3. both 3 and 13
  4. both 17 and 7
35

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

  1. 53
  2. 75
  3. 41
  4. 80
36

When 2256 is divided by 17, the remainder would be

  1. 1
  2. 14
  3. 16
  4. None of these
37

What will be remainder when (6767 + 67) is divided by 68?

  1. 67
  2. 63
  3. 66
  4. 1
38

Find the minimum integral value of n such that the division 55n/124 leaves no remainder

  1. 124
  2. 123
  3. 31
  4. 62
39

Let k be a positive integer such that k+4 is divisible by 7. Then the smallest positive integer n, greater than 2, such that k+2n is divisible by 7 equals

  1. 7
  2. 5
  3. 9
  4. 3
40

Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

  1. 0
  2. 9
  3. 6
  4. 3
41

On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5?

  1. 0
  2. 1
  3. 2
  4. 4
42

What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?

  1. 676
  2. 777
  3. 683
  4. 666
43

The remainder obtained when a prime number greater than 6 is divided by 6 is

  1. 1 or 3
  2. 1 or 5
  3. 3 or 5
  4. 4 or 5
44

The remainder when 784 is divided by 342 is

  1. 0
  2. 1
  3. 49
  4. 341
45

The smallest number which when divided by 4, 6 or 7 leaves a remainder of 2, is

  1. 86
  2. 80
  3. 62
  4. 44
46

What is the remainder when 496 is divided by 6?

  1. 0
  2. 2
  3. 3
  4. 4
47

If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of

  1. 0
  2. 1
  3. 35
  4. 69
48

Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12, and 16 is 4.

  1. 137
  2. 140
  3. 172
  4. 1361
49

What is the greatest number which exactly divides 110, 154 and 242?

50

What is the highest 3 digit number which is exactly divisible by 3, 5, 6 and 7?