# Moderate Probability Solved QuestionAptitude Discussion

 Q. A 5-digit number is formed by the digits 1,2,3,4, and 5 without repetition. What is the probability that the number formed is a multiple of 4?
 ✖ A. 1/2 ✖ B. 1/3 ✖ C. 1/4 ✔ D. 1/5

Solution:
Option(D) is correct

Total number of 5 digits number = 5! = 120.

Now to be multiply of 4, the last 2 digits of the number have to be divisible by 4. i.e. they must be 12, 24, 32 or 52.

Corresponding to each of these ways there are 3! = 6, i.e. 6 ways of filling the remaining 3 places.

The required probability

$=\dfrac{4\times 6}{120}$

$=\dfrac{1}{5}$