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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, 07:36
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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 I think OA is incorrect, please your thoughts.
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Last edited by Bunuel on 12 Jan 2018, 07:24, edited 2 times in total.
Edited the question.



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Re: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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
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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]
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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: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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16 Sep 2010, 10:00
E it is. A is an obviously wrong answer. Source?



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Re: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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. yx=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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Re: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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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 than 110 percent of x, is y greater than 75? [#permalink]
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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 than 110 percent of x, is y greater than 75? [#permalink]
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28 Feb 2011, 01:59



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Re: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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17 Sep 2013, 07:43
If y is greater than 110% of x, is y greater than 75?
1.) x > 75
2.) yx = 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 = 10y. 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.?
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Re: If y is greater than 110 percent of x, is y greater than 75? [#permalink]
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