Multiple choice

The greatest number that divides 880 and 1140 leaves the remainder 25 and 15 respectively is?

  1. 35

  2. 40

  3. 45

  4. 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When a number divides 880 and 1140 leaving remainders 25 and 15, it must divide (880-25)=855 and (1140-15)=1125 exactly. Find HCF of 855 and 1125. 855 = 5 × 171 = 5 × 9 × 19. 1125 = 5 × 225 = 5 × 9 × 25. HCF = 5 × 9 = 45. Option C is correct.

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