Question

The LCM and HCF of two rational numbers are equal, then the numbers must be
(a) prime
(b) co-prime
(c) composite
(d) equal

Answer 1

SOLUTION :  

The correct option is (d) : EQUAL

Let the two numbers be a and b  

(a) Let a and b are prime numbers.

HCF (a,b) = 1

LCM(a,b) = ab

(b) Let a and b are co prime numbers.

HCF (a,b) = 1

LCM(a,b) = ab

(c) Let a and b are composite numbers.

HCF (a,b) = 1 or any other highest common numbers  

LCM(a,b) = ab

(d) Let a and b are equal numbers and a = b = x

HCF (a,b) = x

LCM(a,b) = x

Hence, the correct option is (d) : equal

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

d is your answer ......