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Director
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A positive whole number has factors of 4 and 6. The number M [#permalink]
 12 Dec 2012, 08:50
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Question Stats:
52% (01:28) correct
47% (00:40) wrong based on 61 sessions
A positive whole number has factors of 4 and 6. The number MUST be divisible by: I. 12 II. 24 III. 48 A.I only B.II Only C.III Only D.II and III Only E. I,II and III
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Director
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 981
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.2
WE: Engineering (Transportation)
Followers: 15
Kudos [?]:
105
[0], given: 58
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
12 Dec 2012, 08:55
Let the number be n.
Since 4 and 6 are factors of n so the numbers which are common to 4 and 6 must be the possible answers i.e
a. 4*3 =12; 6*2 =12
b. 4*6 =24 ; 6*4 =24
c. 4* 12 =48 ; 6*8 =48
So why is not E correct option
Am i missing something.......
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
12 Dec 2012, 08:56
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GMAT Club team member
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
12 Dec 2012, 09:00
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Director
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 981
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.2
WE: Engineering (Transportation)
Followers: 15
Kudos [?]:
105
[0], given: 58
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
12 Dec 2012, 09:16
Bunuel wrote: Archit143 wrote: Let the number be n.
Since 4 and 6 are factors of n so the numbers which are common to 4 and 6 must be the possible answers i.e
a. 4*3 =12; 6*2 =12
b. 4*6 =24 ; 6*4 =24
c. 4* 12 =48 ; 6*8 =48
So why is not E correct option
Am i missing something....... The question is "The number MUST be divisible by..." not "the number COULD be divisible by..." The least value of that number is 12, and if it IS 12, then it is NOT divisible by either 24 or 48. Hope it's clear. hi Bunuel thanks for explanation ... i have another doubt If we consider LCM of 4 and 6 its 12 and hence the answer is A. So should we stop stop there itself or continue finding other numbers i.e. the next number is 24 and it is divisible by both 12 and 24 than the answer will be D. If we consider 48 han asnwer is E. My doubt is where we stop solving and say this is the answer..hope i m clear with doubt.........
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GMAT Club team member
Joined: 02 Sep 2009
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
13 Dec 2012, 04:08
Archit143 wrote: Bunuel wrote: Archit143 wrote: Let the number be n.
Since 4 and 6 are factors of n so the numbers which are common to 4 and 6 must be the possible answers i.e
a. 4*3 =12; 6*2 =12
b. 4*6 =24 ; 6*4 =24
c. 4* 12 =48 ; 6*8 =48
So why is not E correct option
Am i missing something....... The question is "The number MUST be divisible by..." not "the number COULD be divisible by..." The least value of that number is 12, and if it IS 12, then it is NOT divisible by either 24 or 48. Hope it's clear. hi Bunuel thanks for explanation ... i have another doubt If we consider LCM of 4 and 6 its 12 and hence the answer is A. So should we stop stop there itself or continue finding other numbers i.e. the next number is 24 and it is divisible by both 12 and 24 than the answer will be D. If we consider 48 han asnwer is E. My doubt is where we stop solving and say this is the answer..hope i m clear with doubt......... Must be divisible means that we should consider the least value of the number. You say that n could be 12. Now, if n=12 is it divisible by 24 or 48? No. So, must n be divisible by 24 or 48? No. But in any case n will be divisible by 12, no matter whether n is 12, 24, 48, or any other multiple of both 4 and 6. Therefore n must be divisible by 12 but not by 24 or 48. Check other must/could be true questions here: search.php?search_id=tag&tag_id=193
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Senior Manager
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
20 May 2013, 06:04
Tricky question so the number is LCM of 4 and 6 which is 12
so option 1 12/12 = 1 divisible
option 2 12/24 = no not divisble
option 3 12/48 = no not divisible
I only
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Re: A positive whole number has factors of 4 and 6. The number M [#permalink]
06 Jun 2013, 06:34
Archit143 wrote: A positive whole number has factors of 4 and 6. The number MUST be divisible by:
I. 12
II. 24
III. 48
A.I only
B.II Only
C.III Only
D.II and III Only
E. I,II and III If N = positive whole number, and C = some non-important interger, then we know, N = 2 * 2 * 3 * C From this, we definitely know N is divisible by 12, but we are not sure about the rest. If C equals to 1, then N cannot be divisible by 24. But if C is 2 or 4, then N can be divided by 24 or 28, respectively. So uncertain. Thus, answer is A.
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Re: A positive whole number has factors of 4 and 6. The number M
[#permalink]
06 Jun 2013, 06:34
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