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  • Let S = {x | x is a positive multiple of 3 less than 100} P = {x | x is a prime number less than 20}. Then n(S) + n(P) is 34    (B) 31    (C) 33    (D) 30

Let S = {x | x is a positive multiple of 3 less than 100} P = {x | x is a prime number less than 20}. Then n(S) + n(P) is
(A) 34    (B) 41    (C) 33    (D) 30
 

Answers (1)

The answer is the option (b).

Given that: S={x| x is a positive multiple of 3 < 100}
S = {3, 6, 9, 12, 15, 18 …..99} 
n(S) = 33 
T = { x| x is a prime number < 20} 
T = {2, 3, 5, 7, 11, 13, 17, 19} 
n(T) = 8
So, n(S) + n(T) = 33+8 =41
Hence, (b) is correct.
 

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