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# If x and y are positive numbers, is y/x<6/11?

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Senior SC Moderator
Joined: 14 Nov 2016
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If x and y are positive numbers, is y/x<6/11? [#permalink]

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09 Mar 2017, 22:28
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Difficulty:

65% (hard)

Question Stats:

48% (02:37) correct 52% (01:08) wrong based on 79 sessions

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If x and y are positive numbers, is $$\frac{y}{x}<\frac{6}{11}$$  ?

1)  $$\frac{y}{x}< 0.545$$

2)  $$\frac{x}{y}< 1.834$$

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Joined: 05 Jan 2017
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Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

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10 Mar 2017, 02:30
6/11 is 0.54545454
ST 1: y/x<0.545<0.54545454 or 6/11. ANSWER

St 2: x/y<1.834
or y/x>1/1.834
or y/x > 0.545256
0.545256<0.54545454. therefore it can be less than or greater than 6/11. INSUFFICIENT

Option A
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Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

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18 Mar 2017, 11:03
ziyuen wrote:
If x and y are positive numbers, is $$\frac{y}{x}<\frac{6}{11}$$  ?

1)  $$\frac{y}{x}< 0.545$$

2)  $$\frac{x}{y}< 1.834$$

Hi Bunuel,

1000/1834 > 1000/2000 i.e. 1000/1835 is greater than 0.50 but how could we do the approximation faster that 1000/1834 is exactly 0.54525 and not 0.55?

OR this question just demand to actually do the division without calculator?
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Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

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18 Mar 2017, 17:25
ziyuen wrote:
If x and y are positive numbers, is $$\frac{y}{x}<\frac{6}{11}$$  ?

1)  $$\frac{y}{x}< 0.545$$

2)  $$\frac{x}{y}< 1.834$$

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Since $$x > 0$$ and $$y > 0$$, $$t = \frac{y}{x} > 0$$. Even though this question uses variables $$x$$ and $$y$$, it is about t only.
The question asks if $$t < 6/11$$.
Here, we have 1 variable, $$t$$.
Hence the answer D is most likely.

The conditions can be changed as following.

1) $$t < 0.545$$
2) $$1/t < 1.834$$
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Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

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20 Apr 2017, 07:33
MathRevolution wrote:
ziyuen wrote:
If x and y are positive numbers, is $$\frac{y}{x}<\frac{6}{11}$$  ?

1)  $$\frac{y}{x}< 0.545$$

2)  $$\frac{x}{y}< 1.834$$

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Since $$x > 0$$ and $$y > 0$$, $$t = \frac{y}{x} > 0$$. Even though this question uses variables $$x$$ and $$y$$, it is about t only.
The question asks if $$t < 6/11$$.
Here, we have 1 variable, $$t$$.
Hence the answer D is most likely.

The conditions can be changed as following.

1) $$t < 0.545$$
2) $$1/t < 1.834$$

If you know that 1/t<2 and you are asked if it is below 1.9, then you have to make some calcs.
In this case with the 2nd case:
you are asked if y/x<6/11 given that x/y<1.834. or is x/y<1.8333333 (made calculations) given x/y<1.834. We can find 1.83333<x/y=1.8339<1.834 therefore insufficient and the answer is A.
Manager
Joined: 25 Apr 2016
Posts: 57
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

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20 Apr 2017, 07:44
for statement 2nd the question stem could be taken as x/y> 11/6=1.833, which is less than 1.834.Gives a unique answer indeed ; statement 1st is obviously sufficient-> D
Intern
Joined: 15 Jun 2013
Posts: 47
Schools: Ivey '19 (I)
GMAT 1: 690 Q49 V35
GPA: 3.82
Re: If x and y are positive numbers, is y/x<6/11? [#permalink]

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20 Apr 2017, 08:13
attari92 wrote:
for statement 2nd the question stem could be taken as x/y> 11/6=1.833, which is less than 1.834.Gives a unique answer indeed ; statement 1st is obviously sufficient-> D

Thanks!
Forgot to change "<" to ">" when moved from y/x to x/y!
Re: If x and y are positive numbers, is y/x<6/11?   [#permalink] 20 Apr 2017, 08:13
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