How many integers are there between 1 and 100

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

  1. 5
  2. 11
  3. 12
  4. 13

Answer: C

Explanation

The integers between 1 and 100 which have 4 as a digit are:

4, 14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 54, 64, 74, 84 and 94

So, there are a total 19 such integers.

Out of these, the integers which are divisible by 4 are:

4, 24, 40, 44, 48, 64 and 84

So, the number of integers not divisible by 4 = 19 - 7 = 12 integers.

  • Exam Year: 2020