Multiple choice

Find the greatest number such that when 76, 151 and 226 are divided by it the remainders are all alike?

  1. 25

  2. 50

  3. 75

  4. 76

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If remainders are equal, the differences between numbers must be divisible by the divisor. Differences: 151-76=75, 226-151=75, 226-76=150. The HCF of these differences is 75. Checking: 76÷75 leaves remainder 1, 151÷75 leaves remainder 1, 226÷75 leaves remainder 1. All remainders equal.

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