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Math Expert V
Joined: 02 Sep 2009
Posts: 57281
N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Difficulty:   5% (low)

Question Stats: 90% (00:49) correct 10% (01:13) wrong based on 153 sessions

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N is a positive integer. When N + 1 is divided by 5, the remainder is 4. What is the remainder when N is divided by 5?

A. 6
B. 5
C. 4
D. 3
E. 2

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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Positive integer N+1 is divided by 5 , the remainder is 4
Therefore , N+1 = 5q + 4 , where q is quotient -->N+1 can take values 4 ,9 , 14 , 19 , 24 ...
N can take values 3 , 8 , 13 , 18 , 23 ..
The remainder when N is divided by 5 is 3
Answer D
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GMAT 1: 760 Q50 V44 Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Bunuel wrote:
N is a positive integer. When N + 1 is divided by 5, the remainder is 4. What is the remainder when N is divided by 5?

A. 6
B. 5
C. 4
D. 3
E. 2

This can easily be solved by assuming values.
N+1, when divided by 5 leaves remainder 4
Assume N+1 = 9

Therefore, N = 8
N divided y 5 leaves remainder 3
Option D
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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Bunuel wrote:
N is a positive integer. When N + 1 is divided by 5, the remainder is 4. What is the remainder when N is divided by 5?

A. 6
B. 5
C. 4
D. 3
E. 2

N+1 = 5a+4

i.e. N+1 = 9, 14, 19, 24, ... etc.

i.e. N = 8, 13, 18, 23, ... etc.

When N is divided by 5 Remainder is always 3

Answer: Option D
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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Quote:
When N + 1 is divided by 5, the remainder is 4
Smallest numbet possible is 9 and the possible value of N = 8
Quote:
What is the remainder when N is divided by 5?
8/5 = Reminder 3

Hence answer is (D)

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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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1
N+1=5q+4

=> N=5q+4-1 => N=5q+3, so the answer is: the remainder is 3 when N is divided by 5.
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GRE 1: Q169 V154 Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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easiest way => take N+1=4
=> N=3
hence Remainder => 3
hence D

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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Another way:

N+1 =5a+4 ---->N=5a+3
and
N=5a+ x (x is what we looking for)
therefore: 5a+3=5a+x ---> x=3
OS -->D
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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Abhishek009 wrote:
Quote:
When N + 1 is divided by 5, the remainder is 4
Smallest numbet possible is 9 and the possible value of N = 8

Can someone correct me if wrong? Isn't the smallest possible number 4?
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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Blackbox wrote:
Abhishek009 wrote:
Quote:
When N + 1 is divided by 5, the remainder is 4
Smallest numbet possible is 9 and the possible value of N = 8

Can someone correct me if wrong? Isn't the smallest possible number 4?

Can not be 4 as with N=4, N+1 = 5 will not give you a remainder of 4 when divided by 5. But if N=8, N+1=9 will give you a remainder of 4 when divided by 5.
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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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Engr2012 wrote:
Can not be 4 as with N=4, N+1 = 5 will not give you a remainder of 4 when divided by 5. But if N=8, N+1=9 will give you a remainder of 4 when divided by 5.

Aha! That is, indeed, when it is in relation with the second part of the question (What is the remainder when N is divided by 5?). Thank you. Makes sense now.
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Re: N is a positive integer. When N + 1 is divided by 5, the remainder is  [#permalink]

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[color=#000000][color=#9e005d][/color][/color]
TeamGMATIFY wrote:
Bunuel wrote:
N is a positive integer. When N + 1 is divided by 5, the remainder is 4. What is the remainder when N is divided by 5?

A. 6
B. 5
C. 4
D. 3
E. 2

This can easily be solved by assuming values.
N+1, when divided by 5 leaves remainder 4
Assume N+1 = 9

Therefore, N = 8
N divided y 5 leaves remainder 3
Option D

nice work Re: N is a positive integer. When N + 1 is divided by 5, the remainder is   [#permalink] 09 Aug 2019, 19:42
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# N is a positive integer. When N + 1 is divided by 5, the remainder is

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