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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If n and k are integers whose product is 400, which of the following
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05 Nov 2021, 07:45
05 Nov 2021, 07:45
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If n and k are integers whose product is 400, which of the following statements must be true?
A. n + k > 0
B. n is not equal to k.
C. Either n or k is a multiple of 10.
D. If n is even, then k is odd.
E. If n is odd, then k is even.
A. n + k > 0
B. n is not equal to k.
C. Either n or k is a multiple of 10.
D. If n is even, then k is odd.
E. If n is odd, then k is even.
Re: If n and k are integers whose product is 400, which of the following
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08 Nov 2021, 14:08
08 Nov 2021, 14:08
Expert Reply
Given: \(nk=400\)
For the product of two integers to be even at least one integer must be even.
A. n+k>0 --> not necessarily true: \(nk=(-20)*(-20)=400\);
B. n does not equal k --> not necessarily true: \(nk=20*20=400\);
C. Either n or k is a multiple of 10 --> not necessarily true: \(nk=16*25=400\).
D. If n is even, then k is odd --> not necessarily true, \(n\) can be even and \(k\) be even too --> \(nk=20*20=400\);
E. If n is odd, then k is even --> this must be true, if one of the factors is odd (\(n\)) the second one (\(k\)) must be even for their product to be even.
Answer: E.
For the product of two integers to be even at least one integer must be even.
A. n+k>0 --> not necessarily true: \(nk=(-20)*(-20)=400\);
B. n does not equal k --> not necessarily true: \(nk=20*20=400\);
C. Either n or k is a multiple of 10 --> not necessarily true: \(nk=16*25=400\).
D. If n is even, then k is odd --> not necessarily true, \(n\) can be even and \(k\) be even too --> \(nk=20*20=400\);
E. If n is odd, then k is even --> this must be true, if one of the factors is odd (\(n\)) the second one (\(k\)) must be even for their product to be even.
Answer: E.
gmatclubot
Re: If n and k are integers whose product is 400, which of the following [#permalink]
08 Nov 2021, 14:08
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