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# What is the value of x?

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Manager
Joined: 03 Mar 2018
Posts: 182
What is the value of x?  [#permalink]

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15 Mar 2018, 08:28
1
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Difficulty:

25% (medium)

Question Stats:

81% (01:10) correct 19% (01:12) wrong based on 33 sessions

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What is the value of x?
Attachment:

Capture1.JPG [ 21.87 KiB | Viewed 317 times ]

(A) 1
(B) 4/3
(C) 3/2
(D) 5/4
(E) 5/2

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Joined: 02 Aug 2009
Posts: 6967
Re: What is the value of x?  [#permalink]

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15 Mar 2018, 08:43
itisSheldon wrote:
What is the value of x?
Attachment:
Capture1.JPG

(A) 1
(B) 4/3
(C) 3/2
(D) 5/4
(E) 5/2

It is 30-60-90 triangle...
corresponding sides ratio is $$1:\sqrt{3}:2$$...
$$\frac{opposite 30}{opposite 90} = \frac{1}{2} = \frac{x+1}{4x-3}$$..
$$4x-3=2x+2........2x=5.....x=\frac{5}{2}$$

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: What is the value of x? &nbs [#permalink] 15 Mar 2018, 08:43
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