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530,493^(1/2) is between

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530,493^(1/2) is between [#permalink]

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New post 30 May 2016, 13:31
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (00:28) correct 17% (00:30) wrong based on 213 sessions

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GMAT 1: 720 Q50 V38
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Re: 530,493^(1/2) is between [#permalink]

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New post 30 May 2016, 13:38
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530493 is greater than 49,0000 (700^2) and smaller than 64,0000 (800^2)

700 < √530493 < 800. Only option satisfying this condition is 600 < √530493 < 800.

Thus C.
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Re: 530,493^(1/2) is between [#permalink]

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New post 11 Oct 2017, 13:31
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Bunuel wrote:
\(\sqrt{530,493}\) is between

(A) 300 and 600
(B) 200 and 400
(C) 600 and 800
(D) 100 and 300
(E) 800 and 1000


The answer choices range from 100 to 1000, so let's start somewhere in the middle.
How about 600
600² = 360,000, which means \(\sqrt{360,00} = 600\)

We want \(\sqrt{530,493}\), so let's try a value that's GREATER than 600
How about 800
800² = 640,000, which means \(\sqrt{640,00} = 800\)

Since \(\sqrt{530,493}\) is BETWEEN \(\sqrt{360,00}\) and \(\sqrt{640,00}\), we know that the correct answer must be BETWEEN 600 and 800

Answer:

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Re: 530,493^(1/2) is between [#permalink]

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New post 16 Oct 2017, 16:54
1
Bunuel wrote:
\(\sqrt{530,493}\) is between

(A) 300 and 600
(B) 200 and 400
(C) 600 and 800
(D) 100 and 300
(E) 800 and 1000


Let’s square each answer choice:

A)

90,000 and 360,000

We see that 530,493 does not fall within the above range.

B)

40,000 and 160,000

We see that 530,493 does not fall within the above range.

C)

360,000 and 640,000

We see that 530,493 DOES fall within the above range.

Answer: C
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Re: 530,493^(1/2) is between   [#permalink] 16 Oct 2017, 16:54
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