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12 Apr 2022, 02:45
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D
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Difficulty:
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Question Stats:
88% (01:14) correct
12%
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wrong
based on 41
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If n is an even integer and k is an odd integer, which of the following CANNOT be an integer?
(A) n/k
(B) n/(k + 1)
(C) (n − 1)/k
(D) k/n
(E) (n + 2)/(k − 1)
(A) n/k
(B) n/(k + 1)
(C) (n − 1)/k
(D) k/n
(E) (n + 2)/(k − 1)
12 Apr 2022, 07:58
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Bunuel
If n is an even integer and k is an odd integer, which of the following CANNOT be an integer?
(A) n/k
(B) n/(k + 1)
(C) (n − 1)/k
(D) k/n
(E) (n + 2)/(k − 1)
(A) n/k
(B) n/(k + 1)
(C) (n − 1)/k
(D) k/n
(E) (n + 2)/(k − 1)
Put
N=2
K=1
(D )will not result in integer
Ans D
18 Apr 2022, 08:15
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This question can be solved if we understand the basics of division of odds and evens.
\(\frac{Even }{ Odd}\) = Even
\(\frac{Even }{ Even}\) = Even
\(\frac{Odd }{ Odd}\) = Odd
\(\frac{Odd }{ Even}\) = always a fraction.
It is also important to note that odds and evens are defined for integers and therefore, those options that give us either of these can be eliminated.
Answer options A, B , C and E all follow one of the first three rules of division of odds and evens. Only answer option D satisifies the fourth rule and therefore, CANNOT be an integer.
The correct answer option is D.
Of course, you can verify each option by taking a few simple values for n and k: for example n = 6 and k = 2 can help you eliminate almost all the wrong answer options; but remembering and applying the rules just makes it faster in this case.
\(\frac{Even }{ Odd}\) = Even
\(\frac{Even }{ Even}\) = Even
\(\frac{Odd }{ Odd}\) = Odd
\(\frac{Odd }{ Even}\) = always a fraction.
It is also important to note that odds and evens are defined for integers and therefore, those options that give us either of these can be eliminated.
Answer options A, B , C and E all follow one of the first three rules of division of odds and evens. Only answer option D satisifies the fourth rule and therefore, CANNOT be an integer.
The correct answer option is D.
Of course, you can verify each option by taking a few simple values for n and k: for example n = 6 and k = 2 can help you eliminate almost all the wrong answer options; but remembering and applying the rules just makes it faster in this case.
