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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 16458

GRE 1: Q160 V160

x>=0 [#permalink]

17 Sep 2018, 20:38

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00:00

Question Stats:

96% (00:12) correct

3% (00:03) wrong

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This question is part of GREPrepClub - The Questions Vault Project

\(x \geq 0\)

Quantity A	Quantity B
\(x^{10}\)	\(x^{100}\)

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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pranab223

Joined: 20 Apr 2016

Posts: 1306

WE:Engineering (Energy and Utilities)

Re: x>=0 [#permalink]

17 Sep 2018, 21:42

Carcass wrote:

\(x \geq 0\)

Quantity A	Quantity B
\(x^{10}\)	\(x^{100}\)

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.

Here

\(x \geq 0\)

if x = 0 , then QTY A = QTY B

if x = 2, then QTY A < QTY B

Hence option is D
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GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 4544

x>=0 [#permalink]

09 Jun 2019, 15:35

Expert Reply

Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project

\(x \geq 0\)

Quantity A	Quantity B
\(x^{10}\)	\(x^{100}\)

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.

Let's test some values

case i: x = 1
We get:
QUANTITY A: \(x^{10}=1^{10}=1\)
QUANTITY B: \(x^{100}=1^{100}=1\)
In this case, the two quantities are equal

case i: x = 2
We get:
QUANTITY A: \(x^{10}=2^{10}\)
QUANTITY B: \(x^{100}=2^{100}\)
In this case, Quantity B is greater

Answer: D

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