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Which one of the following could be the difference between two numbers

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Which one of the following could be the difference between two numbers  [#permalink]

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New post 17 Jun 2017, 05:59
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A
B
C
D
E

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  5% (low)

Question Stats:

89% (00:47) correct 11% (00:59) wrong based on 65 sessions

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Re: Which one of the following could be the difference between two numbers  [#permalink]

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New post 17 Jun 2017, 06:19
Two numbers divisible by 2,3 and 4 have 2^2 and 3 always.
The smallest positive number which is divided by 2,3 and 4 is 12

The difference between 12 and any other number must be a multiple of 12,
Hence 72(Option B) is the correct choice
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Re: Which one of the following could be the difference between two numbers  [#permalink]

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New post 17 Jun 2017, 07:44
Bunuel wrote:
Which one of the following could be the difference between two numbers both of which are divisible by 2, 3 and 4?

(A) 71
(B) 72
(C) 73
(D) 74
(E) 75


The numbers divisible by 2, 3 and 4 will be divisible by LCM of (2, 3, 4) = Multiple of 12
The difference of two multiples of 12 should also be a multiple of 12

hence, 72

Answer: Option B
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Re: Which one of the following could be the difference between two numbers  [#permalink]

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New post 17 Jun 2017, 07:51
Bunuel wrote:
Which one of the following could be the difference between two numbers both of which are divisible by 2, 3 and 4?

(A) 71
(B) 72
(C) 73
(D) 74
(E) 75


Least number divisible by 2, 3 and 4 is 12

Form the set of numbers - { 12 , 24 , 36 , 48......................}

Now, the difference between any 2 numbers must be a multiple of 12, check the options, only (B) is our answer
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Re: Which one of the following could be the difference between two numbers  [#permalink]

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New post 27 Sep 2018, 02:28
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which one of the following could be the difference between two numbers &nbs [#permalink] 27 Sep 2018, 02:28
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