Question 16Important vocabulary: integer = positive and negative whole number plus the number 0. Examples: -2, -1, 0, 1, 2 consecutive integers = integers that are adjacent to each other on a number line. Examples: -1, 0, 1 3, 4, 5 Statement (1) alone: The fact that the sum of the three integers is 15 does not tell us anything about the integers. Here are examples that would satisfy this. Examples: 4 + 5 + 6 = 15 (Note that these are consecutive integers.) 1 + 4 + 10 = 15 (Note that these are not consecutive integers.) Hence, the answer cannot be determined from statement (1) alone. (A) and (D) must be eliminated. Statement (2) alone: If r is 1 greater than q and q is 1 greater than p, then the integers must be consecutive. In fact the integers look like this: p, q (which is p + 1), r (which is q + 1) By the way, if any of you while considering statement (2) alone proceeded on the basis that the sum of p, q and r is 15 then you were pulling the information from statement (1) down into your reading of statement (2). This is a very common mistake. Statement (2) alone allows one to determine that p, q and r are consecutive. Since, the question is answerable from (2) alone and not from (1) alone, the answer is (B).
Back to the tutorial. Go to question 17.
Copyright Notice. This tutorial has been designed for the private use |