Synopsis IAS

Answer

Solution

UPSC Prelims

Mathematics

Theme:

Number System / संख्या पद्धति

Q37 2020, Number System

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

• 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

Q 37. 2020, Number System