SSAT Math Question 649: Answer and Explanation

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Question: 649

4. Damon has twice as many records as Graham, who has one-fourth as many records as Alex. If Damon has d records, then in terms of d, how many records do Alex and Graham have together?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D

Explanation:

There are variables in the choices, so Plug In here. For instance, say that Damon has 10 records, so d = 10. That means Graham has half as many records, so he has 5 records. Graham has as many records as Alex, so Alex has 4 times as many as Graham: 5 × 4 = 20, or 20 records. Together, Graham and Alex have 5 + 20 = 25 records. So, 25 is the target answer. Now, Plug In 10 for d and find which choice yields 25, your target answer. Eliminate (A) because = = 15, which is not 25. Eliminate (B) since = is even smaller than (A). Choice (C) is too large since = = 45. Choice (D) works because = = 25. Remember to try all five choices when Plugging In, so still check (E). 2(10) = 20, which does not work, so eliminate (E). The correct answer is (D).

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