Value of x for which x, (x+1), (x+3) are all prime numbers is

Correct option is B

Given
x, (x+1), and (x+3) are all prime numbers.

Formula Used
A prime number is a natural number greater than 1 that has only two divisors: 1 and itself.

Solution
Let us check the given options.

If x = 0, the numbers are 0, 1, 3 (0 and 1 are not prime).

If x = 1, the numbers are 1, 2, 4 (1 and 4 are not prime).

If x = 2, the numbers are 2, 3, 5 (All three are prime numbers).

If x = 3, the numbers are 3, 4, 6 (4 and 6 are not prime).

Thus, x = 2 is the only value that satisfies the condition.

So the correct answer is (b)