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Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?

Correct answer: C. 24

  • A. 12
  • B. 18
  • C. 24
  • D. 32Everyday Science Quiz

Explanation

A divisor giving the same remainder to all three numbers must divide their pairwise differences. The differences are 73 - 25 = 48 and 97 - 73 = 24, so their greatest common divisor is 24. The likely mistake is option a, 12, which also works but is not the greatest number.

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