# HCF LCM MCQ Questions Answers – Quantitative Aptitude

## HCF LCM Quantitative Aptitude – MCQ Questions Answers

1) How many numbers between 400 and 500 are exactly divisible by 12,15 and 20 ?

a) One

b) Two

c) Three

c) None of these

Option – b)

2) The sum of two numbers is 216 and their HFC is 27. The number are

a) 27,189

b) 154,162

c) 108,108

d) 81,189

Option – a)

3) Find the largest number which divides 62,132 and 237 to leave the same remainder in each case.

a) 21

b) 30

c) 35

d) 40

Option – c)

4) The sum number of two numbers is 528 and their HCF is 33. The number of pairs of such numbers satisfying the above condition is

a) 6

b) 12

c) 8

d) 4

Option – d)

5)What is the least number by which 2352 is to be multiplied to make it a perfect square.

a) 6

b) 4

c) 3

d) 8

Option – c)

6) Find the greatest possible length of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length.

a) 8

b) 49

c) 7

d) 63

Option – a)

7) Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

a) 10244

b) 10296

c) 10368

d) 10291

Option – c)

8) The number between 200 and 300, which when divided by 6,8 or 9 leaves remainder 8 in each case, are

a) 216,288

b) 224,296

c) 210,240

d) 224,288

Option – b)

9) Find the greatest number which can divide 284,698 and 1618 leaving the same remainder 8 in each case.

a) 23

b) 46

c) 25

d) 29

Option – b)

10) The product of two numbers is 12960 and their HCF is 36. How many pairs of such numbers can be formed?

a) 3

b) 4

c) 5

d) 2

Option – d)

11) The LCM of 5,8,12,20 will not be a multiple of

a) 3

b) 9

c) 8

d) 5

Option – b)

12) In the above question, find how many times they will ring together during the next 12 min?

a) 9

b) 10

c) 11

d) None of these

Option – b)

13) GDC is (x2 – 4) and (x2 +x – 6) is

a) (x + 2)

b) (x – 2)

c) (x2 – 2)

d) (x2 + 2)

Option -b)

14) The HCF of two numbers is 21 and their sum is 105. The LCM of the numbers is

a) 189 or 147

b) 126 or 84

c) 84 or 145

d) 126 or 145

Option – b)

15) Find the largest number of four digit exactly divisible by 12,15,18 and 27.

a) 9720

b) 9937

c) 9999

d) 9921