Multiple choice

Directions: The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the exact average of n, 35, 39, 42, p and w? I. n is six more than w. II. w is four less than p.

  1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. The data in statement I alone or in statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II are not sufficient to answer the question.

  5. The data in both the statements I and II together are necessary to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The average of n, 35, 39, 42, p, and w is (n + 35 + 39 + 42 + p + w) / 6. The statements provide relationships between n, w, and p (n = w + 6 and w = p - 4), but they do not provide the actual values for any of the variables. Therefore, the sum cannot be determined.

AI explanation

To find the exact average of n, 35, 39, 42, p, and w, you need the sum of these six variables, which means you must determine the individual values of n, p, and w. Statement I provides a relative relationship between n and w, and statement II provides a relative relationship between w and p. However, neither statement provides an actual numerical value for any of the variables to anchor the equations. Therefore, even when combined, the data in both statements are not sufficient to answer the question.

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