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\(A =\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\)
The integers from list \(A\) are used to form two distinct sets \(P\) and \(Q\) each consisting of distinct integers only. If all the integers from list \(A\) are used at least once and none of the integers are used more than twice, how many integers from list \(A\) are used more than once?
1) The numbers of integers in sets \(P\) and \(Q\) are, respectively, \(2\) and \(3\) less than the number of integers in list \(A.\)
2) The difference between the sum of the integers in sets \(P\) and \(Q\) and the sum of the integers in list \(A\) is \(15.\)
Answer: A
Source: e-GMAT
The integers from list \(A\) are used to form two distinct sets \(P\) and \(Q\) each consisting of distinct integers only. If all the integers from list \(A\) are used at least once and none of the integers are used more than twice, how many integers from list \(A\) are used more than once?
1) The numbers of integers in sets \(P\) and \(Q\) are, respectively, \(2\) and \(3\) less than the number of integers in list \(A.\)
2) The difference between the sum of the integers in sets \(P\) and \(Q\) and the sum of the integers in list \(A\) is \(15.\)
Answer: A
Source: e-GMAT
