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# The value of (2^5*3^2*5^2)^1/2 is between which of the follo

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Manager
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 89
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
The value of (2^5*3^2*5^2)^1/2 is between which of the follo  [#permalink]

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Updated on: 11 Oct 2013, 02:04
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5% (low)

Question Stats:

84% (01:01) correct 16% (01:05) wrong based on 229 sessions

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The value of $$\sqrt{2^5 * 3^2 * 5^2}$$ is between which of the following pairs of numbers?

A. 0 and 100
B. 100 and 200
C. 200 and 300
D. 300 and 400
E. 400 and 500

Originally posted by tonebeeze on 11 Mar 2011, 10:49.
Last edited by Bunuel on 11 Oct 2013, 02:04, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 14 Feb 2011
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11 Mar 2011, 11:25
1
tonebeeze wrote:
The value of $$\sqrt{2^5 * 3^2 * 5^2}$$ is between which of the following pairs of numbers?

a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500

$$\sqrt{2^5 * 3^2 * 5^2}$$ = $$\sqrt{2^4*2 * 3^2 * 5^2}$$

This reduces to $$2^2*3*5* \sqrt{2}$$ = 60*1.414 $$\approx$$ 96 so answer should be A
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11 Mar 2011, 12:31
beyondgmatscore wrote:
tonebeeze wrote:
The value of $$\sqrt{2^5 * 3^2 * 5^2}$$ is between which of the following pairs of numbers?

a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500

$$\sqrt{2^5 * 3^2 * 5^2}$$ = $$\sqrt{2^4*2 * 3^2 * 5^2}$$

This reduces to $$2^2*3*5* \sqrt{2}$$ = 60*1.414 $$\approx$$ 96 so answer should be A

Agree!!! Just the 60*1.4 < 60*1.5 = 60*3/2 = 90.
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Re: The value of (2^5*3^2*5^2)^1/2 is between which of the follo  [#permalink]

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12 Nov 2014, 23:48
$$\sqrt{2^5 * 3^2 * 5^2} = \sqrt{2} * 4 * 3 * 5 = 1.414 * 60$$

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Re: The value of (2^5*3^2*5^2)^1/2 is between which of the follo  [#permalink]

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15 Jul 2019, 06:27
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Re: The value of (2^5*3^2*5^2)^1/2 is between which of the follo   [#permalink] 15 Jul 2019, 06:27