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  • Question
  • If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?


  • Options
  • A. n is odd
  • B. n + 1 cannot be a prime number
  • C. (n + 2) divided by 7 has remainder 2
  • D. n + 3 is divisible by 5

  • Correct Answer
  • n + 3 is divisible by 5 

    Explanation

    You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.

    From this series we can see that n does not have to be odd.

    Also n + 1 can be a prime because, for example, 12 + 1 = 13

    And (n + 2) / 7 has a remainder 2 in some cases but not all.

    Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.

  • Tags: GRE

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    • 3. 
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    • Options
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