Multiple Choice Questions

The product of the LCM and HCF of two numbers is 24 The difference of the two numbers is 2 Find the ...........

Quantitative Aptitude (CGL) LCM, HCF

The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers?

8 and 6

8 and 10

2 and 4

6 and 4

LCM × HCF = 24

∴ Product of numbers = 24

Let no. be = x, y

xy = 24

and x – y = 2

Factors of xy = 24 are (4, 6) (12, 2) (8, 3) (24, 1)

⇒ Now difference between numbers be = (x – y) = 2

So, factor is (4, 6)

Hence, option 4 is the correct answer.

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