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Must or Could be True Questions, Number Properties, Remainders

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by swerve » Fri Oct 25, 2024 5:58 am

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The integer \(P\) is greater than \(7.\) If the integer \(P\) leaves a remainder of \(4\) when divided by \(9,\) all of the following must be true EXCEPT

A. The number that is \(4\) less than \(P\) is a multiple of \(9\)
B. The number that is \(5\) more than \(P\) is a multiple of \(9\)
C. The number that is \(2\) more than P is a multiple of \(3\)
D. When divided by \(3,\,P\) will leave a remainder of \(1\)
E. When divided by \(2,\,P\) will leave a remainder of \(1\)

The OA is E
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