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If the successive tick marks shown on the number line above

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If the successive tick marks shown on the number line above  [#permalink]

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New post 13 Dec 2012, 06:19
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Question Stats:

70% (01:15) correct 30% (01:23) wrong based on 951 sessions

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

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


Attachment:
Number line.png
Number line.png [ 3.62 KiB | Viewed 21006 times ]
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If the successive tick marks shown on the number line above  [#permalink]

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New post 13 Dec 2012, 06:23
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If the successive tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of intervals as shown, what is the value of y?

x = 3 ticks.
y = 7 ticks.

(1) x = 1/2 --> x = 1/2 = 3 ticks --> 1 tick = 1/6, thus y = 7 ticks = 7/6. Sufficient.

(2) y - x = 2/3 --> the distance between x and y is 4 ticks, thus 2/3 = 4 ticks --> 1 tick = 1/6, thus y = 7 ticks = 7/6. Sufficient.

Answer: D.

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Re: If the successive tick marks shown on the number line above  [#permalink]

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New post 13 Dec 2012, 06:30
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Let one interval = a. y = 7a, x = 3a. So we are only required to find a.

1) 3a = 1/2. a can be found. Sufficient

2) 7a - 3a = 2/3. 4a = 2/3. a can be found. Sufficient.

Answer is D.
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Re: If the successive tick marks shown on the number line above  [#permalink]

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New post 04 Apr 2013, 14:37
I have a question for this type of DS problem. If one is absolutely sure that statement 1 is sufficient, during a exam under time pressure, could we plug statement one's given variable into statement 2 to test out?

For example:

Statement 1) Given x=1/2
"I'm sure that it is possible to get y if we have 0 and X=1/2 on the number line. So sufficient."

Statement 2) Given y-x=2/3
"Since I'm confident that statement one is sufficient, let's try plugging in 1/2 for x."

so:
y-x=2/3

y-(1/2)=2/3 "From here I know that we can get y" Suf.

y=7/6


Is this reasoning okay?

Can we do this
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Re: If the successive tick marks shown on the number line above  [#permalink]

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New post 29 Apr 2013, 11:18
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DelSingh wrote:
I have a question for this type of DS problem. If one is absolutely sure that statement 1 is sufficient, during a exam under time pressure, could we plug statement one's given variable into statement 2 to test out?

For example:

Statement 1) Given x=1/2
"I'm sure that it is possible to get y if we have 0 and X=1/2 on the number line. So sufficient."

Statement 2) Given y-x=2/3
"Since I'm confident that statement one is sufficient, let's try plugging in 1/2 for x."

so:
y-x=2/3

y-(1/2)=2/3 "From here I know that we can get y" Suf.

y=7/6


Is this reasoning okay?

Can we do this


For me this must be a bad idea during the exam, because in stress, minor mistakes are very common, so, for me, Such practices must be avoided.
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Re: If the successive tick marks shown on the number line above  [#permalink]

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New post 25 Aug 2018, 03:58
Walkabout wrote:
Image
If the successive tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of intervals as shown, what is the value of y?

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


Attachment:
Number line.png


This is how I solved

1) X= 1/2 means X = 0.5 on the no line
Notice there are 3 intervals between 0 and 0.5
ie 0.5/3 = 0.16 per interval as the spacing between each interval is constant

Now to find the value of y we know that the space between X and Y is 4 more intervals after X
ie 0.5 + 4*0.16 to arrive at value of Y
Therefore its sufficient

Y-X = 2/3
which means Y-X = 0.66 and the interval between X and Y has 4 intervals so each interval = 0.16 .
With this info we can calculate the intervals between 0 and Y = 7 intervals
Value of Y = 0.165 * 7 = sufficient

ANs = D
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Re: If the successive tick marks shown on the number line above  [#permalink]

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New post 12 Sep 2019, 23:37
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Re: If the successive tick marks shown on the number line above   [#permalink] 12 Sep 2019, 23:37
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