Assertion (A): There exists a unique rational number whose additi… - Vidyadip

MCQ

Assertion (A): There exists a unique rational number whose additive inverse and multiplicative inverse do not exist.
Reason (R) : The additive inverse of 1 is -1 and its multiplicative inverse is 1 .

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
✓
Assertion (A) is false but Reason (R) is true.

✓

Answer

Correct option: D.

Assertion (A) is false but Reason (R) is true.

(D) Assertion (A) is false but Reason (R) is true.
0 is a unique rational number whose multiplicative inverse does not exist. But every rational number including 0 has an additive inverse. So, A is false.

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