Question

A number when divided successively by $4$ and $5$ leaves remainders $1$ and $4$ respectively. When it is successively divided by $5$ and $4$ then the respective remainders will be-

• A. $1,2$
• B. $2,3$
• C. $3,2$
• D. $4,1$

Answer 1

The correct option is B $2,3$

The number can also be written as $4\times (5x+4)+1,$

When divided by $5$, remainder will be $=16+1/5=2$,

Quotient will be $4x+3$, when divide by $4$, remainder is $3$