Question

Assertion (A) If $R$ is the set of real numbers and $Q$ is the set of rational numbers, then $R-Q$ is the set of integers.
Reason (R) The set of real numbers consists of set of rational numbers and set of irrational numbers.

• A. Both A and R are correct; $R$ is the correct explanation of $A$
• B. Both $A$ and $R$ are correct; $R$ is not the correct explanation of $A$
• C. $A$ is correct; $R$ is incorrect
• D. $R$ is correct; $A$ is incorrect

Answer 1

Answer: (D)

Since, set of real numbers consists of all rational and irrational numbers. Therefore, $R-Q$ is the set of irrational numbers.
Hence, $A$ is incorrect and $R$ is correct.