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The "connection" between any two positive integers a and b is the

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New post Updated on: 24 Jul 2017, 23:53
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Question Stats:

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The "connection" between any two positive integers a and b is the ratio of the smallest common multiple of a and b to the product of a and b. For instance, the smallest common multiple of 8 and 12 is 24, and the product of 8 and 12 is 96, so the connection between 8 and 12 is (24/96) = (1/4). What is the connection between 12 and 21?

a) 1/9
b) 1/7
c) 1/3
d) 4/7
e) 1/1

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Originally posted by sananoor on 24 Jul 2017, 23:29.
Last edited by sananoor on 24 Jul 2017, 23:53, edited 2 times in total.
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Re: The "connection" between any two positive integers a and b is the  [#permalink]

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New post 24 Jul 2017, 23:35
sananoor wrote:
What is the connection between 12 and 21?

a) 1/9
b) 1/7
c) 1/3
d) 4/7
e) 1/1


The meaning of "connection" should be defined here.

The "connection" between any two positive integers a and b is the ratio of the smallest common multiple of a and b to the product of a and b. For instance, the smallest common multiple of 8 and 12 is 24, and the product of 8 and 12 is 96, so the connection between 8 and 12 is (24/96) = (1/4).

Edited the question stem.
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Re: The "connection" between any two positive integers a and b is the  [#permalink]

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New post 24 Jul 2017, 23:38
Bunuel wrote:
sananoor wrote:
What is the connection between 12 and 21?

a) 1/9
b) 1/7
c) 1/3
d) 4/7
e) 1/1


The meaning of "connection" should be defined here.

The "connection" between any two positive integers a and b is the ratio of the smallest common multiple of a and b to the product of a and b. For instance, the smallest common multiple of 8 and 12 is 24, and the product of 8 and 12 is 96, so the connection between 8 and 12 is (24/96) = (1/4).

Edited the question stem.


More difficult question about "the connection": https://gmatclub.com/forum/the-connecti ... 28360.html
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Re: The "connection" between any two positive integers a and b is the  [#permalink]

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New post 24 Jul 2017, 23:55
thanks Bunuel, i was also wondering what "connection" means here...its clear now
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Re: The "connection" between any two positive integers a and b is the  [#permalink]

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New post 25 Jul 2017, 13:27
sananoor wrote:
The "connection" between any two positive integers a and b is the ratio of the smallest common multiple of a and b to the product of a and b. For instance, the smallest common multiple of 8 and 12 is 24, and the product of 8 and 12 is 96, so the connection between 8 and 12 is (24/96) = (1/4). What is the connection between 12 and 21?

a) 1/9
b) 1/7
c) 1/3
d) 4/7
e) 1/1


Connection : LCM(a,b)/(a*b)

LCM(12,21)=84

84/(21*12) = 1/3

Answer : C
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Re: The "connection" between any two positive integers a and b is the   [#permalink] 25 Jul 2017, 13:27
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