Multiple choice

Let x be the greatest number which divides 955, 1027, 1075, the remainder in each case is the same. Which of the following is not a factor if x?

  1. 4

  2. 6

  3. 16

  4. 8

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

The number that divides all three with the same remainder is the HCF of the differences between the numbers. Differences: 1027 - 955 = 72, 1075 - 1027 = 48, 1075 - 955 = 120. HCF of 72, 48, 120 = 24. So x = 24. Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Among the options, 16 is NOT a factor of 24. This question tests the concept of common remainder.