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Solution


Q.

Assertion (A): HCF(306, 657) = 9, and LCM(306, 657) = 22338.

Reason (R): If a and b are two positive integers and HCF(a, b) = 9, then LCM(a, b) = (a + b)/2.
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.

(3)

We have, HCF(306, 657) = 9
⇒ LCM(306, 657) = (306 × 657) / 9 = 22338.