Question

How many numbers can be formed using the digits 1, 2, 3 without repetition that are divisible by 4?

• A. 1
• B. 23
• C. 4
• D. 24

Answer 1

The correct option is C

4

Given numbers are 1, 2, and 3.
For the formed number to be divisible by 4 the last two digits of the number should be divisible by 4.
Number of single digit numbers formed using these digits that are divisible 4 is 0.
Number of two digits numbers formed using the given digits that are divisible by 4 is 2 (12, 32).
Number of three digits numbers formed using the given digits that are divisible by 4 is 2 (132,312)

Total number of numbers that can be formed using the given digits that are divisible by 4 is 4.