If `S = {x:x` is a positive multiple of `3` less than `100}` and `P = {x : x` is a prime number less than `20`}. Then, `n(S) + n(P)` is equal to

Options

A. 34
B. 31
C. 33
D. 41

Answer

D

Explanation

`:' S = {|x|` x is a positive multiple of 3 less than `100`}
`:. n(S) = 33`
and `P={x|x` is a prime number less than `20`}
`:. n(P) = 8`
`n(S) + n(P) = 33 + 8 = 41`