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Solution


Q.

Assertion (A): The HCF of two numbers is 4 and their product is 38784. Then their LCM is 9696.

Reason (R): LCM(a, b) × HCF(a, b) = 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.

(1)

For Assertion (A): Given, HCF of two numbers = 4 and product of these numbers = 38784.
We know that HCF × LCM = Product of numbers.
⇒ LCM = 38784 ÷ 4 = 9696.