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# If y is greater than 110 percent of x, is y greater than 75?

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If y is greater than 110 percent of x, is y greater than 75? [#permalink]

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11 Sep 2010, 08:36
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If y is greater than 110 percent of x, is y greater than 75?

(1) x > 75
(2) y - x = 10

My arguments are in the next post.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 17 Sep 2013, 08:52, edited 1 time in total.
Edited the question.
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11 Sep 2010, 08:41
1
KUDOS
metallicafan wrote:

If y is greater than 110 percent of x, is y greater than 75?
(1)$$x<75$$
(2) $$y - x = 10$$

My arguments are in the next post.

if
y > 1.1x is y>75 ?

a. x<75
so lets try x =1 which means y >1.1 which doesnt mean y > 75
no x = 74. 1.1* 74 = 81ish so y >75 -INSUFFF
b. y= 10+x we dont know x so no go INSUFF

C.
so y = 10+1 = 11 which means y<75.
y = 10 + 74 = 84 which means y>75 so INSUFF

E?
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11 Sep 2010, 08:45
1
KUDOS
A) Not suff x=74, x=2
B) Not suff x=50, x=90
A+B) Not suff x=74,y=84 & x=50,y=60

OA is wrong
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11 Sep 2010, 08:47
For example, in the case of clue Nº 1 we can have two possible scenarios in which y is greater than 75 or less than 75.

Scenario 1: y> 75
For example, x = 70 and y = 78
The 110% of x is 77. So, we are Ok with the original condition (y > 110% of x).

Scenario 2: y<75
For example, x = 10 and y = 12
The 110% of y is 11. Also, we are ok with the original condition.

As you can see, only with clue nº 1, we cannot verify if y > 75.

That's why I think OA is wrong.
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11 Sep 2010, 08:52
Yes, I also think the answer is E.

Thanks for the confirmation guys. Kudos for you!
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11 Sep 2010, 09:06
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Expert's post
metallicafan wrote:

If y is greater than 110 percent of x, is y greater than 75?
(1) $$x<75$$
(2) $$y - x = 10$$

My arguments are in the next post.

For A to be an answer statement (1) should be $$x>75$$ (and I think this is the case as I've seen this question before).

Then we would have: $$y>1.1x$$. Question: is $$y>75$$? Or is $$x\geq{\frac{75}{1.1}}$$

(1) $$x>75$$. Sufficient.

(2) $$y - x = 10$$. Not sufficient as shown above.

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14 Sep 2010, 21:05
Bunuel wrote:
metallicafan wrote:

If y is greater than 110 percent of x, is y greater than 75?
(1) $$x<75$$
(2) $$y - x = 10$$

My arguments are in the next post.

For A to be an answer statement (1) should be $$x>75$$ (and I think this is the case as I've seen this question before).

Then we would have: $$y>1.1x$$. Question: is $$y>75$$? Or is $$x\geq{\frac{75}{1.1}}$$

(1) $$x>75$$. Sufficient.

(2) $$y - x = 10$$. Not sufficient as shown above.

Hi,

The option is x<75 not x>75..

If x <75, x can be x<75/1.1 or 75/1.1 <x<75

So IMO, (1) is insufficient..
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14 Sep 2010, 21:17
BalakumaranP wrote:
Bunuel wrote:
metallicafan wrote:

If y is greater than 110 percent of x, is y greater than 75?
(1) $$x<75$$
(2) $$y - x = 10$$

My arguments are in the next post.

For A to be an answer statement (1) should be $$x>75$$ (and I think this is the case as I've seen this question before).

Then we would have: $$y>1.1x$$. Question: is $$y>75$$? Or is $$x\geq{\frac{75}{1.1}}$$

(1) $$x>75$$. Sufficient.

(2) $$y - x = 10$$. Not sufficient as shown above.

Hi,

The option is x<75 not x>75..

If x <75, x can be x<75/1.1 or 75/1.1 <x<75

So IMO, (1) is insufficient..

OA was given to be A and I said: "(A) to be an answer statement (1) should be $$x>75$$, (and I think this is the case as I've seen this question before)".
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16 Sep 2010, 11:00
E it is. A is an obviously wrong answer. Source?
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16 Sep 2010, 20:05
It's E. I did the math out. Follow me with this one. Remember that the question stem simply says that y is GREATER than 110% of x (it's doesn't say how much greater than 110%)

1. x<75 - Insufficient. No matter what X is we don't know how much over 110% it is
2. y-x=10
y=x+10
If y is 120% of x ===> y= x+10=1.2x===>10=.2x===>x=50===>y=60, thus 60<75 (No)
If y is 111% of x ===> y= x+10=1.11x==>10=.11x==>x=90.9090...==>y=100.9090>75 (Yes)
Statement 2 is Insufficient
Now let's take S1 and S2 together:
If x=74, y=84 and is 113% of x and is greater than 75
If x=50, y=60 and is 120% of x and is less than 75
Statements 1 and 2 together are Insufficient
E
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If y is greater ... [#permalink]

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28 Feb 2011, 02:37
If y is greater than 110 percent of x, is y greater than 75?
1) x>75
2) y - x = 10

Why (2) is not sufficient?
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Re: If y is greater ... [#permalink]

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28 Feb 2011, 02:45
We are given that y > 1.1x, we need to find if y>75

From 1, x > 75, so y > 82.5 and hence y>75, sufficient
From 2 Y = x+10 or x + 10 > 1.1x or 10 > 0.1x or 100 > x, so x is less than 100.
Now for x =10, y = 20 and it is less than 75, whereas for x = 80, y = 90 and it is greater than 75, so insufficient. Answer A

Last edited by beyondgmatscore on 28 Feb 2011, 03:04, edited 1 time in total.
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Re: If y is greater ... [#permalink]

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28 Feb 2011, 02:59
Merging similar topics.
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If y is greater than 110% of x, is y greater than 75? [#permalink]

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17 Sep 2013, 08:43
If y is greater than 110% of x, is y greater than 75?

1.) x > 75

2.) y-x = 10

So I think my issue is in substitution, which may be a more general problem. But here is how I tackled this problem.

1.) y > 1.1x so if you plug in x > 75 you will get that 1.1(75) > 75 so 1.) is sufficient.

2.) arrange so -x = 10-y.
Divide by - and get x = -10 + y.
substitute x into y > 1.1x and get y > 1.1(-10+y)
y > -11 + 1.1y
-.1y > -11
y < 110

Does that mean Y could be less or more than 75 as long as it is less than 110, so it is insufficient. Is that substitution even legal?

A.?

Thanks!
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Re: If y is greater than 110% of x, is y greater than 75? [#permalink]

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17 Sep 2013, 08:52
TheLostOne wrote:
If y is greater than 110% of x, is y greater than 75?

1.) x > 75

2.) y-x = 10

So I think my issue is in substitution, which may be a more general problem. But here is how I tackled this problem.

1.) y > 1.1x so if you plug in x > 75 you will get that 1.1(75) > 75 so 1.) is sufficient.

2.) arrange so -x = 10-y.
Divide by - and get x = -10 + y.
substitute x into y > 1.1x and get y > 1.1(-10+y)
y > -11 + 1.1y
-.1y > -11
y < 110

Does that mean Y could be less or more than 75 as long as it is less than 110, so it is insufficient. Is that substitution even legal?

A.?

Thanks!

Merging similar topics. Please refer to the solutions above.
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Re: If y is greater than 110 percent of x, is y greater than 75? [#permalink]

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18 Sep 2015, 09:01
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Re: If y is greater than 110 percent of x, is y greater than 75?   [#permalink] 18 Sep 2015, 09:01
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