Multiple choice

Directions: Answer the question independently. When three numbers 2616, 6951 and 9552 are divided by the same divisor 'n', the same remainder is obtained. Which of the following can be the value of 'n'?

  1. 324

  2. 578

  3. 289

  4. 136
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If n divides 2616, 6951, and 9552 with the same remainder, n must divide the differences: 6951 - 2616 = 4335, 9552 - 6951 = 2601, and 9552 - 2616 = 6936. The HCF of 4335, 2601, and 6936 is 17^2 = 289.

AI explanation

If dividing 2616, 6951, and 9552 by n leaves the same remainder r, then n must exactly divide the differences between these numbers. The differences are 4335, 2601, and 6936. The required divisor n must be a common factor of these differences, and their highest common factor is 289; since 289 is one of the options, it is the correct value.

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