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a>1 and b>1
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25 Jan 2024, 02:02
25 Jan 2024, 02:02
Expert Reply
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Question Stats:
46% (01:22) correct
53% (00:52) wrong based on 43 sessions
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\(a>1\) and \(b>1\)
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 |
\(\frac{1}{a}+\frac{1}{b}\) |
\(\dfrac{1}{\frac{1}{a}+\frac{1}{b}}\) |
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.
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Free Materials for the GRE General Exam - Where to get it!!
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: a>1 and b>1
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27 Jan 2024, 00:21
27 Jan 2024, 00:21
1
The answer is D.
Quantity A can be simplified to (b + a)/ab.
Quantity B can be simplified to ab/(b + a).
Now, we do not know whether ab > b + a.
For example, if a = 2 and b = 3, then ab > b + a ; but if a = 2 and b = 2, then ab = b + a.
Note that we haven't tested non-integer values yet, but we do not need to as we have already got inconsistent answers.
Hence, the relationship cannot be determined.
Quantity A can be simplified to (b + a)/ab.
Quantity B can be simplified to ab/(b + a).
Now, we do not know whether ab > b + a.
For example, if a = 2 and b = 3, then ab > b + a ; but if a = 2 and b = 2, then ab = b + a.
Note that we haven't tested non-integer values yet, but we do not need to as we have already got inconsistent answers.
Hence, the relationship cannot be determined.
gmatclubot
Re: a>1 and b>1 [#permalink]
27 Jan 2024, 00:21
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