Multiple choice

x is the greatest number by which, when 2460, 2633 and 2806 are divided, the remainder in each case is the same. What is the sum of digits of x?

  1. 11

  2. 1

  3. 13

  4. 9

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

If numbers leave the same remainder when divided by x, then the differences between the numbers are divisible by x. Differences: 2633-2460=173 and 2806-2633=173. Since 173 is prime, x can be 173 or its factors. Sum of digits of 173 is 1+7+3=11.