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This question is from the kaplan subject test.
Question:
If N is any positive integer, how many consecutive
integers following N are need to insure that at least
one of the integers is divisible by another positive
integer m?
A. m - 1
B. m
C. m + 1
D. 2m
E. m2
Ans/Explanation:
A
One out of every m consecutive integers is divisible by the integer m. The wording of this question is difficult, so you might have thought the question was asking you to count N itself to get the correct answer.
But it was not, so m − 1 consecutive integers after N plus N itself are required in order to ensure that one
of these integers, including N, is a multiple of m.
i don't understand the question nor the explanation
can someone please explain?
Question:
If N is any positive integer, how many consecutive
integers following N are need to insure that at least
one of the integers is divisible by another positive
integer m?
A. m - 1
B. m
C. m + 1
D. 2m
E. m2
Ans/Explanation:
A
One out of every m consecutive integers is divisible by the integer m. The wording of this question is difficult, so you might have thought the question was asking you to count N itself to get the correct answer.
But it was not, so m − 1 consecutive integers after N plus N itself are required in order to ensure that one
of these integers, including N, is a multiple of m.
i don't understand the question nor the explanation
can someone please explain?