Question

Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 28, inclusively

A fair decision is made using this process

How many people could be in this group?

A. 3
B. 6
C. 7
D. 12

Answer 1

Option D, 7, is the right answer.

Explanation:

It is given that 28 slips of papers are numbered through 1 to 28.

Accordingly, there are 28 numbers.

For a fair decision, the number of slips with each one must be the same.

Therefore, the decision will only be fair if the number of people in the group is a factor of 28.

The factors of 28 are - 1, 2, 4, 7, 14 and 28.

In this way, 7 is the only factor of 28 among the given options.

Hence, the answer will be 7.