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a>1 and a-1=b

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Carcass
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a>1 and a-1=b [#permalink] New post   20 Apr 2021, 23:40
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\(a>1\) and \(a-1=b\)

Quantity A
Quantity B
\(b^2\)
\(a^2-1\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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KarunMendiratta
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Re: a>1 and a-1=b [#permalink] New post   21 Apr 2021, 11:12
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Carcass wrote:
\(a>1\) and \(a-1=b\)

Quantity A
Quantity B
\(b^2\)
\(a^2-1\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Col. A: \(b^2\)
Col. B: \((b + 1)^2 - 1\)

Col. A: \(b^2\)
Col. B: \(b^2 + 1 + 2b - 1\)

Subtracting \(b^2\) from both sides;

Col. A: \(0\)
Col. B: \(2b\)

Since, \(a > 1\) and \(a - 1 = b\), b has to be a positive number

Hence, option B

Another way could be to assume some values
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gmatclubot
Re: a>1 and a-1=b [#permalink]
21 Apr 2021, 11:12
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