Q1. How many numbers from 11 to 70 are there which are exactly divisible by 7 but not by 3?
A Nine
B Five
C Seven
D Six Correct
Explanation
The multiples of 7 from 11 to 70 are 14, 21, 28, 35, 42, 49, 56, 63 and 70, so there are nine such numbers at first. Now remove the numbers that are also divisible by 3. Those are 21, 42 and 63. The remaining numbers are 14, 28, 35, 49, 56 and 70, making six numbers. Therefore nine is the count before removing multiples of 3, while five and seven do not match the filtered list.