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If x is a positive integer, what is the least common

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If x is a positive integer, what is the least common [#permalink] New post 09 Mar 2009, 20:12
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If x is a positive integer, what is the least common multiple of x, 6 and 9?

(1) The least common multiple of x and 6 is 30.
(2) The least common multiple of x and 9 is 45.
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Re: DS - Number Properties [#permalink] New post 10 Mar 2009, 02:57
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GMAT TIGER wrote:
1) The least common multiple of x and 6 is 30: x could be 5, 10, 15 or 30. nsf.

LCM(5,6,9)=90; LCM(10,6,9)=90; LCM(15,6,9)=90; LCM(30,6,9)=90;
Sufficient
GMAT TIGER wrote:
2) The least common mutiple of x and 9 is 45: x is 5, 15, or 45. nsf.

the same. Sufficient

Hey, guys, is it rule? LCM(a,b,c)=LCM(LCM(a,b),c) ?

If yes, we can use it:
1) LCM(x,6,9) = LCM(30,9)=90
2) LCM(x,6,9) = LCM(45,6)=90

D

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Re: DS - Number Properties [#permalink] New post 10 Mar 2009, 10:11
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walker wrote:
GMAT TIGER wrote:
1) The least common multiple of x and 6 is 30: x could be 5, 10, 15 or 30. nsf.

LCM(5,6,9)=90; LCM(10,6,9)=90; LCM(15,6,9)=90; LCM(30,6,9)=90;
Sufficient
GMAT TIGER wrote:
2) The least common mutiple of x and 9 is 45: x is 5, 15, or 45. nsf.

the same. Sufficient

Hey, guys, is it rule? LCM(a,b,c)=LCM(LCM(a,b),c) ?

If yes, we can use it:
1) LCM(x,6,9) = LCM(30,9)=90
2) LCM(x,6,9) = LCM(45,6)=90

D


Exactly Walker, this is the short cut rule. LCM(a,b,c)=LCM(LCM(a,b),c).

From stmt1, it LCM of 2 numbers(x,6) is given as 30. So LCM 3 numbers is LCM(30,9). Sufficient.

From stmt2, again same explanation as stmt1.

Initially I tried to find what is x from stmt 1 and then find the LCM of 3 numbers. THis is time consuming when the ans can be picked in less than 30 sec. :)

I raised this question, since I wanted to know in how ways can people solve the question.

As GMAT TIGER did, trying to find the x value rather than finding the LCM.

No offense, just analysing where all there are possibilities that things can go wrong and that we should be cautious.
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Re: DS - Number Properties [#permalink] New post 09 Mar 2009, 21:07
mrsmarthi wrote:
If X is an integer, what is the Least Common Multiple of x, 6 and 9.

1) The least common multiple of x and 6 is 30
2) The least common mutiple of x and 9 is 45.

I know the question is simple, but wanted to see in how many ways can this be answered(ofcourse correctly).

DS is about logical solving. :) Lets get the ball rolling.


1. I guess I did it recently.

1) The least common multiple of x and 6 is 30: x could be 5, 10, 15 or 30. nsf.
2) The least common mutiple of x and 9 is 45: x is 5, 15, or 45. nsf.

togather x = 5 and 15 suffff....

C.

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Re: DS - Number Properties [#permalink] New post 09 Mar 2009, 21:31
GMAT TIGER

Hum......Do you want to give another try? :wink:
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Re: DS - Number Properties [#permalink] New post 10 Mar 2009, 04:22
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Re: DS - Number Properties [#permalink] New post 14 Mar 2009, 05:52
Thanks to mrsmarthi and walker.....

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Re: If X is an integer, what is the Least Common Multiple of x,6 [#permalink] New post 28 Sep 2012, 11:11
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mrsmarthi wrote:
If X is an integer, what is the Least Common Multiple of x,6 and 9.

1) The least common multiple of x and 6 is 30
2) The least common mutiple of x and 9 is 45.

I know the question is simple, but wanted to see in how many ways can this be answered(ofcourse correctly).

DS is about logical solving. :) Lets get the ball rolling.


1) the LCM of x and 6 is 30. That means you need to find the LCM of 30 and 9 --> sufficient

2) LCM of x and 9 is 45 . you need to find out the LCM of 45 and 9 . - > sufficient .

Answer D

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Re: If x is a positive integer, what is the least common [#permalink] New post 09 Nov 2013, 03:57
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Re: If x is a positive integer, what is the least common   [#permalink] 09 Nov 2013, 03:57
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