Q.

Statement (A): The sum of a rational and an irrational is an irrational.

Statement (B): The sum of two irrational numbers is always an irrational

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a

Both A and B are true

b

A is false and B is true

c

A is true and B is false

d

Both A and B are false

answer is C.

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Detailed Solution

Statement (A): Example: 2+ 3

Statement (B): Example:  4+3+133  =17

The sum of two irrational numbers is may (or) may not be an irrational 

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Statement (A): The sum of a rational and an irrational is an irrational.Statement (B): The sum of two irrational numbers is always an irrational