N is a positive integer. When N + 1 is divided by 5, the remainder is

Question

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

Skywalker18 · Answer

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

TeamGMATIFY · Answer

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

GMATinsight · Answer

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

Abhishek009 · Answer

Smallest numbet possible is 9 and the possible value of N = 8 8/5 = Reminder 3
  
Hence answer is (D)

FelixM · Answer

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.

stonecold · Answer

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

stampap · Answer

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

Blackbox · Answer

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

ENGRTOMBA2018 · Answer

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.

Blackbox · Answer

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.

badal · Answer

nice work

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N is a positive integer. When N + 1 is divided by 5, the remainder is

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N is a positive integer. When N + 1 is divided by 5, the remainder is

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