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If x is a positive integer, what is the least common [#permalink]
 09 Mar 2009, 21:12
Question Stats:
59% (01:24) correct
40% (00:52) wrong based on 0 sessions
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]
09 Mar 2009, 22:07
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]
09 Mar 2009, 22:31
GMAT TIGER Hum......Do you want to give another try? 
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Re: DS - Number Properties [#permalink]
10 Mar 2009, 03:57
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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]
10 Mar 2009, 05:22
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Re: DS - Number Properties [#permalink]
10 Mar 2009, 11:11
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]
14 Mar 2009, 06:52
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]
28 Sep 2012, 12:11
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 an integer, what is the Least Common Multiple of x,6
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28 Sep 2012, 12:11
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