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# A, B, C, and D are all integers, in that order. The distance between a

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Intern
Joined: 01 Jul 2017
Posts: 2
A, B, C, and D are all integers, in that order. The distance between a  [#permalink]

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01 Jul 2017, 16:53
A, B, C, and D are all integers, in that order. The distance between any two adjacent of these numbers is the same. If A= 2^4 and B = 2^8, what is the value of D?

A) 2^5
B) 2^5(8)
C) 2^5(15)
D) 2^5(23)
E) 2^16

Can someone please explain why the answer is D? I cannot seem to fully understand how D was derived from this problem.

Thanks!

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Intern
Joined: 23 Oct 2016
Posts: 10
Re: A, B, C, and D are all integers, in that order. The distance between a  [#permalink]

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01 Jul 2017, 18:45
The question says that the distance between any two numbers is same. So B-A= 2^8-2^4=256-16=240. So, C will be 256+240=496 and D will be 496+240= 736. This can also be written as 32*23 and as (2^5)*23

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Math Expert
Joined: 02 Aug 2009
Posts: 7671
A, B, C, and D are all integers, in that order. The distance between a  [#permalink]

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01 Jul 2017, 19:49
marinaesmeralda wrote:
A, B, C, and D are all integers, in that order. The distance between any two adjacent of these numbers is the same. If A= 2^4 and B = 2^8, what is the value of D?

A) 2^5
B) 2^5(8)
C) 2^5(15)
D) 2^5(23)
E) 2^16

Can someone please explain why the answer is D? I cannot seem to fully understand how D was derived from this problem.

Thanks!

Sent from my iPhone using GMAT Club Forum mobile app

Hi,
The difference between the two is $$2^8-2^4$$...
D is 3 times that amount away from A.
So $$D = 2^4+3*(2^8-2^4)=2^4*(1+3*(2^4-1))=2^4*(1+3*15)=2^4*(1+45)=2^4*46=2^4*2*23=2^5*23$$
Hence D
Hope it helps!

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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A, B, C, and D are all integers, in that order. The distance between a   [#permalink] 01 Jul 2017, 19:49
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