Multiple choice

Directions: The question below consists of a question and two statements, labeled (1) and (2), in which certain data is given. Decide whether the data given in the statements is sufficient for answering the question. Using the data provided in the statements and knowledge of mathematics and everyday facts, mark the following: What is the average marks of the students in an examination? 1. 70 percent of the students score an average of 60, and the other 30 percent score an average of 85. 2. Each student in the examination scored at least 45, but nobody scored over 95.

  1. If statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question

  2. If statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question

  3. If both statements (1) and (2) together are sufficient to answer the question, but neither statement alone is sufficient

  4. If each statement alone is sufficient to answer the question

  5. If statements (1) and (2) together are not sufficient to answer the question and an additional data, that is specific to the problem, is needed
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement (1) provides the weighted average: (0.7 * 60) + (0.3 * 85) = 42 + 25.5 = 67.5. This is sufficient. Statement (2) provides bounds but not the distribution, so it is insufficient.

AI explanation

Statement 1 provides the weighted average directly: (0.70 * 60) + (0.30 * 85) = 42 + 25.5 = 67.5. Statement 2 gives a range of scores but no actual values, so it cannot provide an average. Statement 1 alone is sufficient, while statement 2 is not.

Keep practicing — related questions