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Solution


Q.

Assertion (A): The HCF of two numbers is 16 and their product is 3072. Then their LCM = 162.
Reason (R): If a and b are two positive integers, then their HCF × LCM = a × b.
1 Both A and R are true, and R is the correct explanation of A.  
2 Both A and R are true, but R is not the correct explanation of A.  
3 A is true, but R is false.  
4 A is false, but R is true.  

Ans.

(4)

As we know that HCF(a, b) × LCM(a, b) = a × b.
But 16 × 162 = 2592, i.e., 2592 ≠ 3072