Question

A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

Pls send its explanation and tricks ...

Answer 1

let number be x.

x=3q+1 -----1

q=2p+1 -----2

eq 2 is possible only if q is odd,

so put q=1, 3,5,.....2n-1

if q=3

x=10

if 6 divides 10 ,it will leave reaminder as 4

if q=5

x=16

again remainder will be 4.

Answer 2

Answer:

let x=16

16/3 quotient is 5 remainder is 1

5/2 reminder 1

16/6 reminder is 4 so 4 is our option