If X represents the smallest prime number multiplied by 4 and added to the least common multiple of 5 and 10; Y represents the smallest odd prime number multiplied by 5 and added to the 2nd smallest odd prime, then which of the following is true?

Correct option is D

Given:

Smallest prime number = 2

LCM of 5 and 10 = 10

Smallest odd prime number = 3

2nd smallest odd prime number = 5

Solution:

For $$X$$:​

Multiply the smallest prime number by 4:

2 ×4 = 8

Add the LCM of 5 and 10:

8 + 10 = 18 Therefore, X = 18

For Y:

Multiply the smallest odd prime number by 5:

3 ×5 = 15

Add the 2nd smallest odd prime number: 15 + 5 = 20 Therefore, Y = 20

Difference between Y and X is  (20 - 18) =2

Thus the correct answer is (D)