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# Is x < y?

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Manager
Joined: 03 Mar 2018
Posts: 215
Is x < y?  [#permalink]

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05 Mar 2018, 06:22
3
00:00

Difficulty:

55% (hard)

Question Stats:

61% (02:04) correct 39% (01:06) wrong based on 33 sessions

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Is x < y?

(1) $$\frac{1}{x}$$ < $$\frac{1}{y}$$

(2) x + y = 10

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Math Expert
Joined: 02 Aug 2009
Posts: 7212
Is x < y?  [#permalink]

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05 Mar 2018, 06:38
itisSheldon wrote:
Is x < y?

(1) $$\frac{1}{x}$$ < $$\frac{1}{y}$$

(2) x + y = 10

(1) $$\frac{1}{x}$$ < $$\frac{1}{y}$$....
a) if both x and y are POSITIVE $$\frac{1}{x}$$ < $$\frac{1}{y}.....y<x$$....
b) if x is NEGATIVE and y is POSITIVE $$\frac{1}{x}$$ < $$\frac{1}{y}.....y>x$$....
so insuff

(2) x + y = 10
nothing at all..
insuff

combined
both positive..
x = 6 and y = 4.. x>y possible

both negative .. Not possible
x negative and y positive..
x=-2 and y=12... x<y

insuff

E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Math Expert
Joined: 02 Sep 2009
Posts: 52367
Is x < y?  [#permalink]

### Show Tags

05 Mar 2018, 07:02
chetan2u wrote:
itisSheldon wrote:
Is x < y?

(1) $$\frac{1}{x}$$ < $$\frac{1}{y}$$

(2) x + y = 10

(1) $$\frac{1}{x}$$ < $$\frac{1}{y}$$....
a) if both x and y are POSITIVE$$\frac{1}{x}$$ < $$\frac{1}{y}.....y<x$$....
b) if both x and y are NEGATIVE$$\frac{1}{x}$$ < $$\frac{1}{y}.....y>x$$....
so insuff

(2) x + y = 10
nothing at all..
insuff

combined
both positive..
x = 6 and y = 4.. x>y possible

both negative .. Not possible
x negative and y positive..
x=-2 and y=12.. x<y

insuff

E

The red part is not correct.

Is x < y?

(1) $$\frac{1}{x} < \frac{1}{y}$$.

If x and y have the same sign, then y < x.
If x and y have the opposite signs (so when x is negative and y is positive, because the reverse is not possible), then y > x.

Not sufficient.

(2) x + y = 10. Clearly not sufficient.

(1)+(2) x and y could still have the same sign, for example, consider x = 6 and y = 4 (in this case y < x) as well as they could have the opposite signs, for example, x = -1 and y = 11 (in this case y > x). Not sufficient.

Answer: E.
_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7212
Re: Is x < y?  [#permalink]

### Show Tags

05 Mar 2018, 07:09
1
Bunuel wrote:
chetan2u wrote:
itisSheldon wrote:
Is x x[/m]....[/color]
so insuff

(2) x + y = 10
nothing at all..
insuff

combined
both positive..
x = 6 and y = 4.. x>y possible

both negative .. Not possible
[b]x negative and y positive..
x=-2 and y=12.. x x.

Not sufficient.

(2) x + y = 10. Clearly not sufficient.

(1)+(2) x and y could still have the same sign, for example, consider x = 6 and y = 4 (in this case y x). Not sufficient.

Answer: E.

Thanks Bunuel...
it was typo because of copy and paste of previous statement..
it meant x negative and y positive as also given in the Combined portion..

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: Is x < y? &nbs [#permalink] 05 Mar 2018, 07:09
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# Is x < y?

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