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M31-35

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M31-35  [#permalink]

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New post 14 Jun 2015, 13:54
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:15) correct 31% (01:16) wrong based on 48 sessions

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Re M31-35  [#permalink]

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New post 14 Jun 2015, 13:54
1
Official Solution:


In which quadrant of the coordinate plane does the point \((x,y)\) lie?

(1) \(xy = 7\). This implies that \(x\) and \(y\) are either both negative or both positive, thus \((x,y)\) lies either in III quadrant or in I quadrant. Not sufficient.

(2) \(5x + 7y < -\frac{1}{2}\). Both \(x\) and \(y\) can be negative or one of them can be negative and another positive. Not sufficient.

Notice that from this statement it's NOT possible both \(x\) and \(y\) to be positive: \(5x + 7y = positive + positive = positive\), not negative number \(-\frac{1}{2}\).

(1)+(2) Since (2) rules out possibility of both \(x\) and \(y\) being positive, then from (1) we are left with negative \(x\) and \(y\): \((x,y)\) lies either in III quadrant. Sufficient.


Answer: C
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Re M31-35  [#permalink]

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New post 24 Jul 2015, 22:19
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I think this is a high-quality question and I agree with explanation. The link to the discussion in the website is broken.

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Re: M31-35  [#permalink]

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New post 25 Jul 2015, 01:11
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M31-35  [#permalink]

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New post 30 Mar 2018, 19:53
Bunuel I'm not sure that how "x and y are either both negative or both positive, lies either in III quadrant or in I quadrant., " and Both xx and yy can be negative or one of them can be negative and another positive." Please provide detailed solution.
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Re: M31-35  [#permalink]

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New post 31 Mar 2018, 00:19
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sadikabid27 wrote:
Bunuel I'm not sure that how "x and y are either both negative or both positive, lies either in III quadrant or in I quadrant., " and Both xx and yy can be negative or one of them can be negative and another positive." Please provide detailed solution.


1. Check this: https://gmatclub.com/forum/math-coordin ... 87652.html

The first quadrant consists of all points with positive x and y coordinates. The product of x and y coordinates = positive.
The third quadrant consists of all points with negative x and y coordinates. The product of x and y coordinates = positive.

2. \(5x + 7y < -\frac{1}{2}\).

Here if both x and y are positive, 5x + 7y, would have been positive, NOT negative, so both x and y cannot be negative. Which means that either both of them are negative or one of them is negative and another positive.
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Re: M31-35  [#permalink]

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New post 24 Aug 2018, 06:05
02 min 11 sec
Your time result is better
than the general system result
of 11 min 14 sec

Could you please explain the later statement. " You time result is better
than the general system result
of 11 min 14 sec" what does it mean? general systemresult? chetan2u @sayantc2k Bunuel
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Re: M31-35  [#permalink]

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New post 24 Aug 2018, 06:09
AdityaHongunti wrote:
02 min 11 sec
Your time result is better
than the general system result
of 11 min 14 sec

Could you please explain the later statement. " You time result is better
than the general system result
of 11 min 14 sec" what does it mean? general systemresult? chetan2u @sayantc2k Bunuel


Could you please post the screenshot? Thank you.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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M31-35  [#permalink]

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New post 24 Aug 2018, 06:58
Bunuel wrote:
AdityaHongunti wrote:
02 min 11 sec
Your time result is better
than the general system result
of 11 min 14 sec

Could you please explain the later statement. " You time result is better
than the general system result
of 11 min 14 sec" what does it mean? general systemresult? chetan2u @sayantc2k Bunuel


Could you please post the screenshot? Thank you.


i found this analysis in "question stats" next to "show explanation"Could you please also explain " the average time incorrect and average tme correct " because on forum the average time is different. Also the above mentioned doubt regarding the general system result . Bunuel
>> !!!

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M31-35 &nbs [#permalink] 24 Aug 2018, 06:58
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