10th Class Mathematics Real Numbers Question Bank Case Based (MCQs) - Real Numbers

If the product of two positive integers is equal to the product of their HCF and LCM is true, then the HCF (32,36) is:

A) 2

B) 4

C) 6

D) 8

Correct Answer: B

Solution :

Sol. We know that.

\[\text{One number}\times \text{Other number}=\text{LCM}\times \text{HCF}\]

\[\therefore \,\,\,\,\,\,32\times 36=LCM(32,36)\times HCF(32,36)\]

\[\Rightarrow \,\,\,\,\,32\times 36=288\times HCF(32,36)\]

\[\Rightarrow \,\,\,\,\,HCF(32,36)=\frac{32\times 36}{288}=4\]

So, option [b] is correct.