**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

**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

**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

**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

**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

**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

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

a) 10244

b) 10296

c) 10368

d) 10291

**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

**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

**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

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

a) 3

b) 9

c) 8

d) 5

**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

**13) GDC is (x ^{2} – 4) and (x^{2} +x – 6) is**

a) (x + 2)

b) (x – 2)

c) (x^{2} – 2)

d) (x^{2} + 2)

**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

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

a) 9720

b) 9937

c) 9999

d) 9921