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15 Oct 2019, 02:19
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E
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If x is a positive integer, then x(x − 1) is
A. divisible by 5 whenever x is even.
B. divisible by 9 whenever x is odd.
C. odd only when x is odd.
D. always odd.
E. always even.
A. divisible by 5 whenever x is even.
B. divisible by 9 whenever x is odd.
C. odd only when x is odd.
D. always odd.
E. always even.
15 Oct 2019, 02:24
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Bunuel
If x is a positive integer, then x(x − 1) is
A. divisible by 5 whenever x is even.
B. divisible by 9 whenever x is odd.
C. odd only when x is odd.
D. always odd.
E. always even.
A. divisible by 5 whenever x is even.
B. divisible by 9 whenever x is odd.
C. odd only when x is odd.
D. always odd.
E. always even.
x - 1 and x are consecutive integers. We are told that the integers are both positive.
Two positive integers which are consecutive will have one odd and one even integer.
Therefore, the product of these integers is always even(Option E)
15 Oct 2019, 02:24
Kudos
Bookmarks
Bunuel
If x is a positive integer, then x(x − 1) is
A. divisible by 5 whenever x is even.
B. divisible by 9 whenever x is odd.
C. odd only when x is odd.
D. always odd.
E. always even.
A. divisible by 5 whenever x is even.
B. divisible by 9 whenever x is odd.
C. odd only when x is odd.
D. always odd.
E. always even.
x is odd or even integer x(x − 1)
will always be even
IMO E
