Two sets are defined as $A=\{x \mid x$ is even prime numbers less than 100$\}$ $B=\{x \mid x$ is an odd composite number less than 100$\}$ Which of the following numbers is common in both?
Assertion (A) : If A = $\{1,2,3,4,5,6\}$ and B = $\{a, b, c, d, e, f\}$, then A and B are equivalent sets. Reason (R) : Two sets A and B are said to be equivalent if every element of A is in B and every element of B is in A.
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 but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) : The set of all prime numbers less than 30 is [2, 3, 5, 7, 11, 13, 17, 19, 23, 29) Reason (R) : Every repeated element in a set is taken only once.
A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
✓
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
C
Assertion (A) is true but Reason (R) is false.
D
Assertion (A) is false but Reason (R) is true.
Answer
Correct option: B.
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).