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# There is a sequence An for a positive integer n such that when An is d

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Manager
Joined: 17 May 2017
Posts: 130
Schools: ESSEC '20
GPA: 3
There is a sequence An for a positive integer n such that when An is d  [#permalink]

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04 Jul 2017, 02:50
1
00:00

Difficulty:

25% (medium)

Question Stats:

88% (02:04) correct 12% (03:01) wrong based on 61 sessions

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There is a sequence An for a positive integer n such that when An is divided by An-1 the remainder is An-2. If A2=7, A1=0, which of the following can be the value of A4?

A. 48
B. 50
C. 52
D. 56
E. 58
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9129
Location: Pune, India
There is a sequence An for a positive integer n such that when An is d  [#permalink]

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04 Jul 2017, 04:04
4
1
haardiksharma wrote:
There is a sequence An for a positive integer n such that when An is divided by An-1 the remainder is An-2. If A2=7, A1=0, which of the following can be the value of A4?

A. 48
B. 50
C. 52
D. 56
E. 58

The sequence would be like this:

Rem, Divisor, Dividend.............
.............Rem, Divisor, Dividend............
..........................Rem, Divisor, Dividend.............

A1, A2, A3, A4, A5 ...
0, 7, ....

A3 must a number such that when divided by 7, it leaves remainder 0 i.e. A3 is divisible by 7.
A4 must be such a number that when divided by a multiple of 7 gives a remainder 7. So A4 itself must be a multiple of 7 too.

Only (D) is a multiple of 7.
_________________
Karishma
Veritas Prep GMAT Instructor

There is a sequence An for a positive integer n such that when An is d   [#permalink] 04 Jul 2017, 04:04
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