Let S be the set of integers x such that
(i) 100 < x < 200
(ii) x is odd
(iii) x is divisible by 3 but not by 7
How many elements does S contain?
Explanation:
100 ≤ x ≤ 200 and x is odd multiple of 3 which is not divisible by 21.
Number of x those are odd multiples of 3 = 16
Number of x those are odd multiples of 21 = 3
∴ Number of elements in S = 16 − 3 = 13
Hence, option (d).
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