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If the tick marks shown on the number line above are equally spaced an

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Bunuel
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If the tick marks shown on the number line above are equally spaced an [#permalink] If the tick marks shown on the number line above are equally spaced an   17 Sep 2017, 03:13
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42% (01:29) correct 58% (01:34) wrong based on 148 sessions
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If the tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of an interval, as shown, what is the value of x?

(1) x = (3y)/4
(2) y = 2

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TaN1213
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Re: If the tick marks shown on the number line above are equally spaced an [#permalink] If the tick marks shown on the number line above are equally spaced an   17 Sep 2017, 04:20
Bunuel wrote:

If the tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of an interval, as shown, what is the value of x?

(1) x = (3y)/4
(2) y = 2

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image003.gif

There are 8 divisions. Let the total length of these 8 equally spaced divisions be 'D'
So we have ,
D/8 = |y-x| ---> Absolute sign signifies the magnitude of the length between x & y, irrespective of their signs.
Statement1: x = (3y)/4
or y= (4x) / 3
Two variables, one equation -- Not Sufficient

Statement 2: y = 2
D/8 = (x-2)
Two variables, one equation -- Not Sufficient

Combining 1 & 2 ,
substitute to get x= (3/2) ---------> You need not waste your time here to get the value because you know that this surely will give you a definite value for x.

"C" in my opinion.
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TheNightKing
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Re: If the tick marks shown on the number line above are equally spaced an [#permalink] If the tick marks shown on the number line above are equally spaced an   17 Sep 2019, 13:06
Can someone try this example? :)

Thank you!
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colinlin1
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Re: If the tick marks shown on the number line above are equally spaced an [#permalink] If the tick marks shown on the number line above are equally spaced an   17 Sep 2019, 23:34
Not sure if the most left endpoint is equal to ZERO if so B is right.
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stne
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If the tick marks shown on the number line above are equally spaced an [#permalink] If the tick marks shown on the number line above are equally spaced an   19 Sep 2019, 10:36
TheNightKing wrote:
Can someone try this example? :)

Thank you!



Yes , why not!

Note : All spaces are equal , let each space be denoted by S then:

Statement 2 : 4S=2 then S = \(\frac{1}{2}\) so each space is \(\frac{1}{2}\) if y = 2 then x= 1.5-> Suff.
Statement 1 : We do not know the value of x or y hence we cannot find x -> Not Suff.

Ans- B

Hope it's clear.
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If the tick marks shown on the number line above are equally spaced an [#permalink]
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Bunuel
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