Multiple choice

Directions: The question given below is followed by two statements (A) and (B). You have to determine which statement(s) is/are sufficient/necessary to answer the question. Two groups of students X and Y took the same test. If the average score for group X was 68.2, then what was the average score for the combined group? (A) The average score for group Y was 73.5. (B) Group X had 20 more students than group Y.

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

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

  3. Both (A) and (B) together are sufficient, but none of them alone is sufficient.

  4. Both (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

To find the average score of the combined groups, you must know the exact number of students in each group. Statement (A) gives the average of group Y and statement (B) states the difference in the number of students, but neither provides the actual number of students in either group. Without the actual headcount, you cannot calculate the weighted average of the combined group.

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