How many positive integers less than 100 have a remainder of 2 when divided by 13?

[GMATprofessional21]

How many positive integers less than 100 have a remainder of 2 when divided by 13?

A 6
B 7
C 8
D 9
E 10

The possible numbers that fulfill this criteria are 2, 15, 28,41,54,67,80,93. This is 8 numbers, so the answer is C

[Scott@TargetTestPrep]

How many positive integers less than 100 have a remainder of 2 when divided by 13?

A 6
B 7
C 8
D 9
E 10

Solution:

The first positive integer that has a remainder of 2 when divided by 13 is 2. The greatest positive integer less than 100 that has a remainder of 2 when divided by 13 is 93.

So, the total number of numbers that have a remainder of 2 when divided by 13 is (93 - 2)/13 + 1 = 7 + 1 = 8.

Answer: C