Question

How many positive integers less than 100 have a remainder of 3

when divided by 7?
a) 18
b) 13 c) 14 d) 12
​

Answer 1

13

Explanation:

We can write the following inequality to find the answer:

7x + 3 < 100 (where x is our answer and x is an integer)

7x < 97

x < 13.86

The largest integer value of x that satisfies this inequality is x = 13 so we know that our answer will be 13.