Free Practice Question
PS · Problem Solving
655-705
Divisibility/Multiples/Factors
When three distinct positive digits X, Y, and Z are arranged in every possible order (XYZ, XZY, YXZ, etc.), which of the following numbers is NOT a divisor of the total sum of all the resulting three-digit integers?
Answer Choices
Correct answer marked belowA
2
B
3
C
6
11
Correct
E
37
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Explanation
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Official Explanation
Official
When the three distinct positive digits X, Y, and Z are arranged in all possible sequences (XYZ, XZY, YXZ, etc.), the total sum of all the resulting three-digit integers can be calculated. The six permutations are: XYZ, XZY, YXZ, YZX,…
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What it tests
Your understanding of divisibility rules, least common multiples, and greatest common factors.
Common trap
Forgetting that 1 is not prime and that every integer divides 0.
Details
Difficulty
655-705
Type
PS
Category