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M06-29

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M06-29 [#permalink]

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New post 16 Sep 2014, 00:28
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71% (00:51) correct 29% (01:28) wrong based on 111 sessions

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New post 16 Sep 2014, 00:28
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Official Solution:


Since \(x\) and \(y\) are integers then \(xy\) will be even if at least one of the multiple is even. From \(x=\frac{y}{5}+2\) we have that \(y=5x-10\)

(1) \(5x - 10\) is even. Since \(y=5x-10\) then \(y=5x-10=\text{even}\). Sufficient.

(2) \(\frac{y}{x}\) is even. Given: \(\frac{y}{x}=\text{even}\), so \(y=x*\text{even}=\text{even}\). Sufficient.


Answer: D
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Re: M06-29 [#permalink]

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New post 16 Dec 2016, 04:12
Bunuel wrote:
Official Solution:


Since \(x\) and \(y\) are integers then \(xy\) will be even if at least one of the multiple is even. From \(x=\frac{y}{5}+2\) we have that \(y=5x-10\)

(1) \(5x - 10\) is even. Since \(y=5x-10\) then \(y=5x-10=\text{even}\). Sufficient.

(2) \(\frac{y}{x}\) is even. Given: \(\frac{y}{x}=\text{even}\), so \(y=x*\text{even}=\text{even}\). Sufficient.


Answer: D


Hi Bunuel,

What happens if x is 0?

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New post 16 Dec 2016, 04:20
uvemdesalinas wrote:
Bunuel wrote:
Official Solution:


Since \(x\) and \(y\) are integers then \(xy\) will be even if at least one of the multiple is even. From \(x=\frac{y}{5}+2\) we have that \(y=5x-10\)

(1) \(5x - 10\) is even. Since \(y=5x-10\) then \(y=5x-10=\text{even}\). Sufficient.

(2) \(\frac{y}{x}\) is even. Given: \(\frac{y}{x}=\text{even}\), so \(y=x*\text{even}=\text{even}\). Sufficient.


Answer: D


Hi Bunuel,

What happens if x is 0?


For which statement? For the second statement x cannot be 0 because in this case y/x would be undefined not even.
_________________

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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.


What are GMAT Club Tests?
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Re: M06-29 [#permalink]

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New post 16 Dec 2016, 06:51
Bunuel wrote:
uvemdesalinas wrote:
Bunuel wrote:
Official Solution:


Since \(x\) and \(y\) are integers then \(xy\) will be even if at least one of the multiple is even. From \(x=\frac{y}{5}+2\) we have that \(y=5x-10\)

(1) \(5x - 10\) is even. Since \(y=5x-10\) then \(y=5x-10=\text{even}\). Sufficient.

(2) \(\frac{y}{x}\) is even. Given: \(\frac{y}{x}=\text{even}\), so \(y=x*\text{even}=\text{even}\). Sufficient.


Answer: D


Hi Bunuel,

What happens if x is 0?


For which statement? For the second statement x cannot be 0 because in this case y/x would be undefined not even.


For the first one. Y would be even (Y=-10) but X*Y=0

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Re: M06-29 [#permalink]

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New post 16 Dec 2016, 12:29

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Re M06-29 [#permalink]

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New post 02 Oct 2017, 10:29
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. Hi Team,
In the first statement the answer shows sufficient.
But in case x is Zero then xy will be zero, which is not even.
Hence, how can statement 1 be sufficient?
Please explain

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Re: M06-29 [#permalink]

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New post 02 Oct 2017, 10:51
Psahota wrote:
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. Hi Team,
In the first statement the answer shows sufficient.
But in case x is Zero then xy will be zero, which is not even.
Hence, how can statement 1 be sufficient?
Please explain


ZERO:

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

You should brush-up fundamentals before practising questions:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128459 [0], given: 12173

Re: M06-29   [#permalink] 02 Oct 2017, 10:51
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