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In the fraction x/y, where x and y are positive integers

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In the fraction x/y, where x and y are positive integers [#permalink] New post 07 Sep 2010, 12:29
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In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1
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Re: Least common denominator [#permalink] New post 07 Sep 2010, 12:41
Expert's post
metallicafan wrote:
In the fraction x/y , where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3is 6.
(2) x = 1


In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6 (the least common denominator of \frac{x}{2} and \frac{1}{3} is 6 and the least common denominator of \frac{x}{6} and \frac{1}{3} is also 6). Not sufficient.

(2) x=1 --> no info about y. Not sufficient.

(1)+(2) y still can be 2 or 6. Not sufficient.

Answer: E.
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GMAT PREP LCM [#permalink] New post 26 Jan 2011, 07:27
In the fraction x/y , where x and y are positive integers, what is the value of y?
1) The least common denominator of x/y and 1/3 is 6
2) X =1
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Re: GMAT PREP LCM [#permalink] New post 26 Jan 2011, 07:36
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QR DS 119. The fraction [#permalink] New post 23 Feb 2011, 20:10
In the fraction x/y, where x and y are positive integers, what is the value of y?
(1) The least common denominator of x/y and 1/3 is 6
(2) x=1
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Re: QR DS 119. The fraction [#permalink] New post 24 Feb 2011, 00:20
From 1) y can be 2 or 6 ,so Insufficient.
From 2) nothing can be inferred about y, so insufficient.

Combining (1) and (2), sill nothing can be said conclusively about y, so the answer is E.
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Re: Least common denominator [#permalink] New post 20 Sep 2012, 06:10
Bunuel wrote:
metallicafan wrote:
In the fraction x/y , where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3is 6.
(2) x = 1


In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6 (the least common denominator of \frac{x}{2} and \frac{1}{3} is 6 and the least common denominator of \frac{x}{6} and \frac{1}{3} is also 6). Not sufficient.

(2) x=1 --> no info about y. Not sufficient.

(1)+(2) y still can be 2 or 6. Not sufficient.

Answer: E.



Hi Bunuel,

This time i am not able to understand the explanation given by you.
Assuming x=1 & y can be either 2 or 6, I want to know how come the LCM of (1/2 , 1/3) & (1/6, 1/3) can be 6. As per me the LCM has to be 1 & 1/3 respectively.

Kindly enlighten me.
Waiting for reply
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Re: Least common denominator [#permalink] New post 20 Sep 2012, 06:47
Expert's post
fameatop wrote:
Bunuel wrote:
metallicafan wrote:
In the fraction x/y , where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3is 6.
(2) x = 1


In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6 (the least common denominator of \frac{x}{2} and \frac{1}{3} is 6 and the least common denominator of \frac{x}{6} and \frac{1}{3} is also 6). Not sufficient.

(2) x=1 --> no info about y. Not sufficient.

(1)+(2) y still can be 2 or 6. Not sufficient.

Answer: E.



Hi Bunuel,

This time i am not able to understand the explanation given by you.
Assuming x=1 & y can be either 2 or 6, I want to know how come the LCM of (1/2 , 1/3) & (1/6, 1/3) can be 6. As per me the LCM has to be 1 & 1/3 respectively.

Kindly enlighten me.
Waiting for reply


We are told that "The least common denominator of x/y and 1/3 is 6" not LCM of 1/2 and 1/3.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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

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Re: Least common denominator [#permalink] New post 20 Sep 2012, 07:38
Hi Bunuel,
Ok, Forget the question. Can you tell me what is the LCM of (1/2 , 1/3) & (1/6, 1/3) or how to calculate the LCM of two fractions.
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Re: Least common denominator [#permalink] New post 20 Sep 2012, 07:43
Expert's post
fameatop wrote:
Hi Bunuel,
Ok, Forget the question. Can you tell me what is the LCM of (1/2 , 1/3) & (1/6, 1/3) or how to calculate the LCM of two fractions.


The least common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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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Re: Least common denominator   [#permalink] 20 Sep 2012, 07:43
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