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The leftmost tick mark is 1, and successive tick marks shown on the

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The leftmost tick mark is 1, and successive tick marks shown on the [#permalink]

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New post 10 Oct 2017, 00:47
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38% (01:42) correct 62% (01:21) wrong based on 42 sessions

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The leftmost tick mark is 1, and successive tick marks shown on the number line above are equally spaced. If x and y are the numbers designating the end points of intervals as shown, what is the value of x?

(1) x + y = 5
(2) x = y/5


[Reveal] Spoiler:
Attachment:
image005.gif
image005.gif [ 949 Bytes | Viewed 413 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 132870 [0], given: 12389

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Re: The leftmost tick mark is 1, and successive tick marks shown on the [#permalink]

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New post 10 Oct 2017, 04:38
Bunuel wrote:
Image
The leftmost tick mark is 1, and successive tick marks shown on the number line above are equally spaced. If x and y are the numbers designating the end points of intervals as shown, what is the value of x?

(1) x + y = 5
(2) x = y/5


[Reveal] Spoiler:
Attachment:
image005.gif


Question: What is the value of x = ?

Statement 1: x + y = 5

As we can see that ever gap has the value = x-1

value of y = 1+ 5 gaps = 1 + 5*(x-1)

so x+y = x+1 + 5*(x-1) = 5

SUFFICIENT


Statement 2: x = y/5

value of y = 1+ 5 gaps = 1 + 5*(x-1) = 5x


SUFFICIENT


Answer: Option D
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Re: The leftmost tick mark is 1, and successive tick marks shown on the [#permalink]

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New post 13 Oct 2017, 22:38
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X=1gap and y=5gaps

St1: x+y=5
So, 6 gaps=5
Hence, each gap=x=5/6
Sufficient.

St2:x=y/5
No real numbers given.
Just the ratio of x/y=1/5
Insufficient.

Hence, Ans A

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Re: The leftmost tick mark is 1, and successive tick marks shown on the [#permalink]

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New post 28 Oct 2017, 10:45
Statement 1: x+y=5
From question stem, we know that the leftmost tick is 1 and intervals are equal in size. There are 5 equal intervals from 1 to y, so:

(y-1) / 5 = x-1

Simplifying the above equation gives 5x-y=4 so we have two simultaneous equations: x+y=5 and 5x-y=4 that can be solved to find x. Sufficient

Statement 2: x = y/5 can be simplified to 5x-y=0. Again, we know that the leftmost tick is 1 and intervals are equal in size. There are 5 equal intervals from 1 to y, so:

(y-1) / 5 = x-1

Simplifying the above equation gives 5x-y=4. Now we have two equations 5x-y=0 and 5x-y=4 that can't be solved for x. Insufficient

Answer: A

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Re: The leftmost tick mark is 1, and successive tick marks shown on the   [#permalink] 28 Oct 2017, 10:45
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