Question

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?
(a) 16
(b) 12
(c) 11
(d) 13​

Answer 1

d) 13

The integers from 101 to 199 satisfying the given criteria are:

111, 117, 123, 129, 135, 141, 153, 159, 165, 171, 177, 183, 195.

Total such Numbers = 13