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x is between Note: Figure not drawn to scale

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x is between Note: Figure not drawn to scale  [#permalink]

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New post 18 Oct 2018, 01:56
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (00:54) correct 32% (01:17) wrong based on 50 sessions

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Intern
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x is between Note: Figure not drawn to scale  [#permalink]

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New post Updated on: 18 Oct 2018, 03:01
x=5√2=7.07... therefore x is between 7 and 8

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Originally posted by garyster on 18 Oct 2018, 02:02.
Last edited by garyster on 18 Oct 2018, 03:01, edited 1 time in total.
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Re: x is between Note: Figure not drawn to scale  [#permalink]

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New post 18 Oct 2018, 02:05
Bunuel wrote:
Image
x is between

Note: Figure not drawn to scale


A. 4 and 5
B. 5 and 6
C. 6 and 7
D. 7 and 8
E. 8 and 9

Attachment:
GMAT_PS_Magoosh_200.png


Since it is right angle triangle

4*15 = 10 + x^2

\(x = 5\sqrt{2}\)

Hence B
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x is between Note: Figure not drawn to scale  [#permalink]

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New post 18 Oct 2018, 02:56
1
The triangle is right , so:

\(x^2\) + \(\sqrt{10}^2\) = \((2\sqrt{15})^2\)
--> \(x^2\) = 50
--> x = \(\sqrt{50}\)

We have\(\sqrt{49}\) < \(\sqrt{50}\) < \(\sqrt{64}\)
--> 7<x<8

Hence, Choice D is the answer
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x is between Note: Figure not drawn to scale   [#permalink] 18 Oct 2018, 02:56
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