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N is an integer such that N > 1.
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02 Dec 2018, 05:33
02 Dec 2018, 05:33
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Question Stats:
91% (00:31) correct
8% (00:51) wrong based on 134 sessions
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N is an integer such that \(N > 1\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\((N+1)^2 -1\) |
\(N^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Re: N is an integer such that N > 1.
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04 Dec 2018, 06:01
04 Dec 2018, 06:01
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Carcass wrote:
N is an integer such that \(N > 1\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\((N+1)^2 -1\) |
\(N^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Explanation::
Qty A = \((N+1)^2 -1 = N^2 + 2N + 1 - 1 = N^2 + 2N\)
Therefore
\(N^2 + 2N > N^2\)
Hence Option A
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Re: N is an integer such that N > 1.
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04 Dec 2018, 10:01
04 Dec 2018, 10:01
3
Carcass wrote:
N is an integer such that \(N > 1\).
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\((N+1)^2 -1\) |
\(N^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
We can solve this question using matching operations
Given:
Quantity A: (N + 1)² - 1
Quantity B: N²
Expand and simplify Quantity A to get:
Quantity A: N² + 2N
Quantity B: N²
Subtract N² from both quantities to get:
Quantity A: 2N
Quantity B: 0
Divide both quantities b 2 to get:
Quantity A: N
Quantity B: 0
Since we're told that N > 1, we know that N must be POSITIVE.
So, we have:
Quantity A: some POSITIVE number
Quantity B: 0
Answer: A
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