ISEE Word Problems Question 167: Answer and Explanation

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Question: 167

3. If n is a positive integer, then the product of 14n and 15n is NOT necessarily divisible by which of the following?

  • A. 5
  • B. 10
  • C. 12
  • D. 21

Correct Answer: C

Explanation:

The answer is C

Break 14 and 15 into factors, using pairs. The factors of 14 are 1, 14, 2, and 7. The factors of 15 are 1, 15, 3, and 5. Check each answer to determine whether it can be divided by the product of any two factors. 12 does not work because there is no factor of 4 to multiply by 3 (one of the factors of 15).

The n is not necessary to the solution. However, if the n is distracting, you can plug in. If you plug in an even number for n, all four answer choices will work. If you plug in an odd number for n, 12 will not go into your product in choice (C).

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