HCF LCM MCQ Questions Answers – Quantitative Aptitude

HCF LCM Quantitative Aptitude – MCQ Questions Answers

The concepts of Highest Common Factor (HCF) and Lowest Common Multiple (LCM) are fundamental to mathematics and find applications in various fields. These concepts are essential for problem-solving and understanding the relationships between numbers. In this article, we will delve into multiple-choice questions (MCQs) related to HCF and LCM, providing clear explanations and answers to help you master these concepts.


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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer
Option – d)