Multiple choice

A number of three digits which gives the same remainder when it divides 2272 and 875 is

  1. 245

  2. 125

  3. 127

  4. 335

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number that gives the same remainder when dividing both 2272 and 875 must be a factor of their difference. 2272 - 875 = 1397. The only option that divides 1397 is 127 (1397 ÷ 127 = 11). This uses the remainder theorem: if a and b leave the same remainder when divided by n, then n divides (a-b).