question_answer

The LCM and the HCF of the numbers 28 and 42 are in the ratio

A) 6 : 1     

B) 2 : 3  

C) 3 : 2                             

D) 7 : 2

Correct Answer: A

Solution :

LCM of 28 and 42

\[\therefore \]LCM \[=2\times 2\times 7\times 3=84\]

HCF of 28 and 42

By Division Method,

\[\therefore \]HCF = 14

Now, ratio \[=\frac{\text{LCM}}{\text{HCF}}=\frac{84}{14}=\frac{6}{1}=6:1\]