If y is greater than 110 percent of x, is y greater than 75? : GMAT Data Sufficiency (DS)
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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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If y is greater than 110 percent of x, is y greater than 75?

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

I think OA is incorrect, please your thoughts.

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

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Last edited by Bunuel on 17 Sep 2013, 07:52, edited 1 time in total.
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Re: Inequalities question [#permalink]

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New post 11 Sep 2010, 07:41
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metallicafan wrote:
I think OA is incorrect, please your thoughts.

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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Re: Inequalities question [#permalink]

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New post 11 Sep 2010, 07:45
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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

So answer is def (E)
OA is wrong
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Re: Inequalities question [#permalink]

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New post 11 Sep 2010, 07:47
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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Re: Inequalities question [#permalink]

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New post 11 Sep 2010, 07:52
Yes, I also think the answer is E.

Thanks for the confirmation guys. Kudos for you!
I woke up happy today :-D
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Re: Inequalities question [#permalink]

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metallicafan wrote:
I think OA is incorrect, please your thoughts.

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.

Answer: A.
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Re: Inequalities question [#permalink]

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New post 14 Sep 2010, 20:05
Bunuel wrote:
metallicafan wrote:
I think OA is incorrect, please your thoughts.

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.

Answer: A.



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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Re: Inequalities question [#permalink]

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New post 14 Sep 2010, 20:17
BalakumaranP wrote:
Bunuel wrote:
metallicafan wrote:
I think OA is incorrect, please your thoughts.

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.

Answer: A.



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..


Please read my post.

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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Re: Inequalities question [#permalink]

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New post 16 Sep 2010, 10:00
E it is. A is an obviously wrong answer. Source?
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Re: Inequalities question [#permalink]

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New post 16 Sep 2010, 19:05
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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New post 28 Feb 2011, 01:37
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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New post 28 Feb 2011, 01:45
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, 02:04, edited 1 time in total.
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Re: If y is greater ... [#permalink]

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

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New post 17 Sep 2013, 07:43
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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New post 17 Sep 2013, 07:52
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!


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

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Re: If y is greater than 110 percent of x, is y greater than 75?   [#permalink] 18 Sep 2015, 08:01
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