When positive integers A, B , C are divided by 5, the

Question

When positive integers A, B , C are divided by 5, the remainders are the same. What is the sum of the remainders

A + B = C 
A, B , C are even numbers

gmatnub · Answer

E

a,b,c = 2,2,4 OR 2,4,6
the remainders are different

a,b,c = 2,2,4 OR 8,8,16
the remainders are the same

zeenie · Answer

How about 5,10,15?
All remainders 0, and a+b=c
I would go with A
Sum of remainders =0

rohit929 · Answer

Hi i think this is not that easy

let A=5ka+r , B=5kb+r , C=5kc+r as the remainders are same

to find r+r+r=3r

stat 1: A + B = C 
5ka+r+5kb+r=5kc+r

(r/5)=kc-(ka+kb) as ka,kb,kc are integers kc-(ka+kb) has to be a integer
(r/5) has to be a integer 
r can take only values 0,1,2,3,4 as its a remainder when number is divided by 5
r=0
so sum =0+0+0=0
suff

Stat:2 
A, B , C are even numbers
so last digits of these numbers can be 0,2,4,6,8

check 2,12,22 remainder =2 sum=2+2+2=6
check 4,14,24 remainder =4 sum=4+4+4=12
so no definite ans 
insuff

ans A

zeenie · Answer

This wasnt easy.
I figured that if the remainders are 1,2,3,4 
a+b will never be equal to c
The only case where it happens is when Remainder=0.
I made it look easy :-D

When positive integers A, B , C are divided by 5, the

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