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gmatislikegolf
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n and p are integers. If n^{2}+p+5=2n^{2}+n-1, which of the following 15 Jan 2025, 07:24
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B
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35% (medium)

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77% (02:05) correct 23% (02:09) wrong based on 121 sessions

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n and p are integers. If \(n^{2}+p+5=2n^{2}+n-1\), which of the following must be true?

a) p is a prime number

b) p is an even number

c) p is an odd number

d) p is a square of an integer
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B
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Krunaal
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n and p are integers. If n^{2}+p+5=2n^{2}+n-1, which of the following 15 Jan 2025, 12:29
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\(n^{2}+p+5=2n^{2}+n-1\)
\(p=n^{2}+n-6\)
\(p=n*(n+1)-6\)

Since, n is an integer, n*(n+1) must be an even integer.

p= Even integer - 6
Even integer - Even integer = Even integer

p = Even integer

Answer B.



notme05
hey, can someone explain why B?
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notme05
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n and p are integers. If n^{2}+p+5=2n^{2}+n-1, which of the following 15 Jan 2025, 09:27
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hey, can someone explain why B?
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nishantswaft
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n and p are integers. If n^{2}+p+5=2n^{2}+n-1, which of the following 19 Jan 2025, 21:50
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n and p are integers,
\(n^2 + p + 5=2n^2 + n - 1\)
\(p =n^2 + n - 6\)

Let, n=even so p= Even + Even - Even always even;
When n= odd p = odd+ odd- Even always even

Hence, the correct answer is B
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