Multiple choice

Directions: This data sufficiency problem consists of a question and two statements labeled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. If the average score of three students, Alice, Ben, and Chris, in a mathematics test is 75, what could be the score of Chris? (1) The total score obtained by all three is 225. (2) The average score of Alice and Ben is 80.

  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 average of three students is 75, so the sum is 225. Statement (1) just confirms the sum, which is already known from the average, so it is not sufficient to find an individual score. Statement (2) gives the average of Alice and Ben as 80, so their sum is 160. Subtracting this from the total sum of 225 gives Chris's score as 65, which is sufficient.

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