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If y is greater than 110 percent of x, is y greater than 75
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17 Jan 2014, 02:29
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73% (01:35) correct 27% (01:49) wrong based on 1064 sessions
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The Official Guide For GMAT® Quantitative Review, 2ND EditionIf y is greater than 110 percent of x, is y greater than 75 ? (1) x > 75 (2) y x = 10 Data Sufficiency Question: 42 Category: Arithmetic; Algebra Percents; Inequalities Page: 156 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
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Re: If y is greater than 110 percent of x, is y greater than 75
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17 Jan 2014, 22:48
If y is greater than 110 percent of x, is y greater than 75 ? (1 ) x > 75 (2) y x = 10 SOl:We need to find whether y>75 and we know y>1.1x St 1: Clearly sufficient cause if x>75 and y>1.1*75. B,C and E ruled out St 2: y= 10+x and also y>1.1x so 10+x>1.1x > 100>x....So can can take any value and therefore Y can have any value Ans A
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Re: If y is greater than 110 percent of x, is y greater than 75
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17 Jan 2014, 02:30
SOLUTIONIf y is greater than 110 percent of x, is y greater than 75 ?Given: \(y>1.1x\). 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: If y is greater than 110 percent of x, is y greater than 75
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17 Jan 2014, 11:53
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf y is greater than 110 percent of x, is y greater than 75 ? (1 ) x > 75 (2) y x = 10 y > 1.1 * x Statement 1) x > 75 as y > 1.1 * 75, definitely we can say y > 75. Sufficient Statement 2) y  x = 10 => y = 10 + x . As we don't know the value of x, we cannot determine if y > 75. Not Sufficient. Hence Option A)
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Re: If y is greater than 110 percent of x, is y greater than 75
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23 May 2014, 10:55
If y is greater than 110 percent of x, is y greater than 75 ? 1. x > 75 2. y x = 10 Ans: 1: Clearly sufficient 2: y= 10+x => x=y10 and also y>1.1x so y>1.1(y10) > 110>y. Thus not sufficient. A it is!
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Re: If y is greater than 110 percent of x, is y greater than 75
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23 May 2014, 11:03
If y is greater than 110 percent of x, is y greater than 75 ?
1. x > 75 2. y x = 10
1. Is sufficient enough to declare that y>75
2. Insufficient
Hence, I go with option A.



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Re: If y is greater than 110 percent of x, is y greater than 75
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23 May 2014, 11:47
If y is greater than 110 percent of x, is y greater than 75 ? Looking at options (1). x> 75As y >1.1 x > y >75. Sufficient(2). y x =10 As y >1.1 x > x = y/1.1  d where d >0 So, (2) > y  y/1.1 + d = y/11 + d = 10 > y = 110  11d So, y > 75 will depend on the value of d; Not sufficientPress kudos if it helped. Kudos is the best form of appreciation Kindly check the post with the poll and revert with your replies 10straightlinesnotwoofwhichareparallelandnothree171525.html



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If y is greater than 110 percent of x, is y greater than 75
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07 Dec 2014, 11:20
[youtube][/youtube]This question always leave me wondering. What we know from the test of the problem: y > 1.1x
1) x > 75 and y > 75*1.1 So y > 82.5 and the statement is sufficient.
2) y  x = 10 and, since we are interested in the limiting case, y = 1.1*x So 1.1x  x = 10, x = 100 and y = 110, leading to y > 110.
Why the reasoning behind the second point is wrong according to the GMAT Quant Review?
Only now I saw why.



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If y is greater than 110 percent of x, is y greater than 75 ?
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07 Jun 2015, 04:30
Y>1.1X, Is Y > 75?
1. X>75 Put x=75, Y>82.5, definitely y is greater than 75
Sufficient
2. YX= 10 X=Y10 Y>1.1(Y10) Y>1.1Y  11 0.1Y<11 Y<110 Not Sufficient



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Re: If y is greater than 110 percent of x, is y greater than 75
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30 Aug 2017, 20:34
Bunuel wrote: SOLUTION
If y is greater than 110 percent of x, is y greater than 75 ?
Given: \(y>1.1x\). 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 Bunuel, Can you pls point out the flaw in my reasoning. Given that y>1.1x As a limiting case, suppose y=1.1x So, if yx=10 0.1x=10 x=100 y>1.1x > y>110 Isn't it suff??



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If y is greater than 110 percent of x, is y greater than 75
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20 Jul 2018, 13:30
srikanth9502 wrote: Bunuel wrote: SOLUTION
If y is greater than 110 percent of x, is y greater than 75 ?
Given: \(y>1.1x\). 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 Bunuel, Can you pls point out the flaw in my reasoning. Given that y>1.1x As a limiting case, suppose y=1.1x So, if yx=10 0.1x=10 x=100 y>1.1x > y>110 Isn't it suff?? Can someone please explain? Why is y>110 incorrect?



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Re: If y is greater than 110 percent of x, is y greater than 75
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15 Feb 2019, 18:23
Bunuel wrote: SOLUTION
If y is greater than 110 percent of x, is y greater than 75 ?
Given: \(y>1.1x\). 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 Bunuel! Is it ok to say that 110>y and because of that, B is no sufficient? Thank you in advance!



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If y is greater than 110 percent of x, is y greater than 75
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18 Aug 2019, 07:13
srikanth9502 wrote: Bunuel wrote: SOLUTION
If y is greater than 110 percent of x, is y greater than 75 ?
Given: \(y>1.1x\). 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 Bunuel, Can you pls point out the flaw in my reasoning. Given that y>1.1x As a limiting case, suppose y=1.1x So, if yx=10 0.1x=10 x=100 y>1.1x > y>110 Isn't it suff?? Hi srikanth9502 , Xin Cho We have given y>1.1x It means y can be 1.2x, 1.3x and so on... Now as a limiting case i.e. y=1.1x you already got y>110 . But what about other cases i.e. when y=1.2x, 1.3x, 1.4x Now if you will check for all values you will see the value of x keep on decreasing and so on for y. Hence it(y>75) is not true in every case. That's why B is insufficient. Hope it helps Let me know for anything else.



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Re: If y is greater than 110 percent of x, is y greater than 75
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18 Aug 2019, 08:12
Aha, I missed this. Thank you for the explanation a12bansal.




Re: If y is greater than 110 percent of x, is y greater than 75
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