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.

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

Tardigrade Admin · Accepted Answer

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.

Q. 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.

Both A and R are correct; $R$ is the correct explanation of $A$

Both $A$ and $R$ are correct; $R$ is not the correct explanation of $A$

$A$ is correct; $R$ is incorrect

$R$ is correct; $A$ is incorrect

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.

Q. 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.

Both A and R are correct; R is the correct explanation of A

Both A and R are correct; R is not the correct explanation of A

A is correct; R is incorrect

R is correct; A is incorrect