Correct answer: {2}
Explanation:
A prime number is a number that has only two distinct positive divisors: 1 and itself.
An even number is a number that is divisible by 2.
2 is the only number that is both even and prime because:
- It is divisible only by 1 and 2
- It is even
Hence, the only even prime number is 2, and the set is {2}.
Directions: In the Question, a statement of Assertion
(A) is followed by a statement of Reason (R).
Choose the correct option from the following:
Assertion (A): For two odd prime numbers \(x\) and \(y\), \((x + y)\), \(\text{LCM}(2x,\ 4y) = 4xy\)
Reason (R):} \(\text{LCM}(x, y)\) is a multiple of \(\text{HCF}(x, y)\)