Let S = {x : x is a positive multiple of 3 less than 100},
Question:

Let S = {x : x is a positive multiple of 3 less than 100}, P = {x : x is a prime less than 20}. Then, n(S) + n(P) is

(a) 34

(b) 31

(c) 33

(d) 30

Solution:

Let S = {x : x is a positive multiple of 3 less than 100}

P = {x : x is prime less than 20}

Here S = {3, 6, 9, 12, ……..99}

n(S) = 33 and  P = {2, 3, 5, 7, 11, 13, 17, 19} 

n(P) = 8

⇒ n(S) + n(P) = 33 + 8 = 41

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