Question

if a number m is divided by 5 leaves a remainder 2 . while anothr number n is divided by 5 gives remainder 4 . then the remainder when (m+n) is divided by 5 is

Answer 1

m/5 =2

m=2×5

m=10

n/5=4

n=4×5

n=20

m+n/5

10+20/5

30/5

6

Therefore the remainder will be 6

Answer 2

m|2(mod5)
5|m-2
n|4(mod5)
5|n-4
5|(m+n)-6
hence,reqd. remainder =6