Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-48

The product of two numbers is 2028 and their HCF is 13. The number of such pairs is [SSC (CGL) 2011]

A) 1

B) 2

C) 3

D) 4

Correct Answer: B

Solution :

Let the numbers be 13a and 13b. where a and b are coprime

\[\therefore \] LCM of 13a and 13b = 13ab

product of numbers \[=HCF\times LCM\]

\[\Rightarrow \,\,2028=13\times 13ab\]

\[\Rightarrow \,\,ab=\frac{2028}{13\times 13}=12\]

Pairs satisfying the condition = (1,12) and (3,4)

\[\therefore \] Number of pairs is 2