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M04-13

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M04-13  [#permalink]

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New post 16 Sep 2014, 00:22
1
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (00:56) correct 31% (00:51) wrong based on 172 sessions

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Re M04-13  [#permalink]

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New post 16 Sep 2014, 00:22
Official Solution:


(1) \(x=\frac{a}{b}\) and \(b\) is odd. \(x\) can be odd as well as even, consider: \(x=a=b=1\) and \(x=a=2\) and \(b=1\). Not sufficient.

(2) \(x=\frac{a}{b}\) and \(a\) is odd. Cross-multiply: \(bx=a=\text{odd}\). Now, in order for the product of two integers \(b\) and \(x\) to be odd, both integers must be odd. So, the answer to the question whether \(x\) is even is NO. Sufficient.


Answer: B
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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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Re: M04-13  [#permalink]

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New post 13 Jul 2015, 12:51
Hi Bunuel,
I have a question ,
so can we take a and b as same value?
for this type of question , if they have not mentioned explicitly, we can take same value?
My thinking was as question says a and b are positive integers, i thought they should be of different values.

Thank you !!


Bunuel wrote:
Official Solution:


(1) \(x=\frac{a}{b}\) and \(b\) is odd. \(x\) can be odd as well as even, consider: \(x=a=b=1\) and \(x=a=2\) and \(b=1\). Not sufficient.

(2) \(x=\frac{a}{b}\) and \(a\) is odd. Cross-multiply: \(bx=a=\text{odd}\). Now, in order for the product of two integers \(b\) and \(x\) to be odd, both integers must be odd. So, the answer to the question whether \(x\) is even is NO. Sufficient.


Answer: B

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Re: M04-13  [#permalink]

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New post 14 Jul 2015, 00:43
sunita123 wrote:
Hi Bunuel,
I have a question ,
so can we take a and b as same value?
for this type of question , if they have not mentioned explicitly, we can take same value?
My thinking was as question says a and b are positive integers, i thought they should be of different values.

Thank you !!


Bunuel wrote:
Official Solution:


(1) \(x=\frac{a}{b}\) and \(b\) is odd. \(x\) can be odd as well as even, consider: \(x=a=b=1\) and \(x=a=2\) and \(b=1\). Not sufficient.

(2) \(x=\frac{a}{b}\) and \(a\) is odd. Cross-multiply: \(bx=a=\text{odd}\). Now, in order for the product of two integers \(b\) and \(x\) to be odd, both integers must be odd. So, the answer to the question whether \(x\) is even is NO. Sufficient.


Answer: B


It's the other way around: unless it is explicitly stated otherwise, different variables CAN represent the same number.
_________________

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

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M04-13  [#permalink]

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New post 22 May 2017, 02:58
I used the following approach

S1: \(x = \frac{a}{b}\) and \(b\) is odd.

This means, b is a factor of a. This also means

\(x = \frac{(n) * b}{b}\). Here n = some positive integer. =>
\(x = n\). if n is even, x is even.
If n is odd, x is odd. Two different answer for x. Insufficient.

S2: \(x = \frac{a}{b}\) and \(a\) is odd.

By same reasoning, this means, b is a factor of a.

\(x = \frac{(n) * b}{b}\). Here n = some positive integer. =>
\(x = n\).
However, n cannot be odd even since a is odd. Hence, x = odd. Sufficient

Final Answer : B

Not sure if I am able to clearly convey what I intend to say. :)
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Re: M04-13  [#permalink]

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New post 28 Mar 2018, 06:32
Bunuel, I just signed up for Gmat club test and the questions are amazing,I am currently scoring Q42 on a good day and Q35 on a bad one. How should I combine these questions and the OG questions. Can I use just these (how different are they from OG). I am taking the test in a month and my target score is Q45, and I study an hour and half quant every day, thanks.
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Re: M04-13  [#permalink]

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New post 28 Mar 2018, 09:24
AMARAAZUNWIE wrote:
Bunuel, I just signed up for Gmat club test and the questions are amazing,I am currently scoring Q42 on a good day and Q35 on a bad one. How should I combine these questions and the OG questions. Can I use just these (how different are they from OG). I am taking the test in a month and my target score is Q45, and I study an hour and half quant every day, thanks.


GMAT Club Tests' questions are generally significantly harder than that of OG. I'd suggest to do them only after you are comfortably solving most of the questions from OG.
_________________

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

Re: M04-13 &nbs [#permalink] 28 Mar 2018, 09:24
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