College of Admission Tests Multan

Value Questions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 3

What is the average of a list of n consecutive integers?

(1) The smallest number in the list is 5.

(2) n = 8

  • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • EACH statement ALONE is sufficient.
  • Statements (1) and (2) TOGETHER are NOT sufficient.

  Show/Hide Explanation 

Correct Answer: C

Statement (1) tells us the smallest number, but not how many numbers are in the list. It is not sufficient. Cross off A and D.

Statement (2) tells us the value of n, so the question becomes: What is the average of a list of 8 consecutive integers? Since those integers can be large, small, or even negative, we have no way to tell what the average is. Statement (2) is not sufficient, so we can eliminate B.

Now let’s put the two statements together. If we know that 5 is the smallest number in a list of 8 consecutive numbers, then we can easily reconstruct the list and find the average. So the statements are sufficient when put together, and the answer is C.