Multiple choice

Directions: The following problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Amelia noted the time taken by her to complete 1 mile race in 4 different attempts. The duration of time comes out to be a multiple of same number h such as 2h, 4h, 5h, h. Was the average of the 4 durations less than 6? (1) h > 3 (2) h < 2

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The durations are 2h, 4h, 5h, and h. The average is (2h+4h+5h+h)/4 = 12h/4 = 3h. We want to know if 3h < 6, which is equivalent to h < 2. Statement (1) says h > 3, which is not sufficient. Statement (2) says h < 2, which directly answers the question.

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