Anaira Mitch wrote:X and Y are sets of positive integers. Is the greatest integer in X greater than the greatest integer in Y ?
(1) X is a set of 5 consecutive odd integers, each less than 20.
(2) Y is a set of 3 consecutive even integers, each less than 15.
We are given that X and Y are sets of positive integers, and we need to determine whether the greatest integer in X is greater than the greatest integer in Y.
Statement One Alone:
X is a set of 5 consecutive odd integers, each less than 20.
Since we don't know anything about the integers in Y, statement one alone is not sufficient.
Statement Two Alone:
Y is a set of 3 consecutive even integers, each less than 15.
Since we don't know anything about the integers in X, statement two alone is not sufficient.
Statements One and Two Together:
Even with the two statements, we still don't have enough information to determine whether the greatest integer in X is greater than the greatest integer in Y.
For example, if the 5 consecutive odd integers in X are 11, 13, 15, 17, and 19, and the 3 consecutive even integers in Y are 10, 12, and 14, then the greatest integer in X IS greater than the greatest integer in Y.
However, if the 5 consecutive odd integers in X are 1, 3, 5, 7, and 9, and the 3 consecutive even integers in Y are 10, 12, and 14, then the greatest integer in X IS NOT greater than the greatest integer in Y. The two statements together are still not sufficient.
Answer:
E
