Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer - $What is accurate average of (n), 35, 39, 42, (p) and (w)? (I) (n) is six more than (w). (II) (w) is four less than (p).$

  1. statement I alone is sufficient but statement II alone is not sufficient.

  2. statement II alone is sufficient but statement I alone is not sufficient

  3. each statement alone (either I or II) is sufficient.

  4. statement I and II together are not sufficient

  5. both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We need average of n, 35, 39, 42, p, w = (n + 35 + 39 + 42 + p + w)/6 = (n + p + w + 116)/6. Statement I: n = w + 6. Statement II: w = p - 4. Even with both statements, we have 3 unknowns (n, p, w) with only 2 equations. We cannot find n + p + w uniquely, so average cannot be determined. Both statements together are insufficient.

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