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Solution


Q.

Assertion (A): 2 is a rational number.

Reason (R): The square root of all positive integers are irrationals.
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)

Clearly, 2 is a rational number but square root of all positive integers are not always irrational.
It may be rational or irrational number.
For example, √2 is an irrational number but √4 is not an irrational number because √4 = 2 which is rational.
So, Assertion (A) is true but Reason (R) is false