Question

A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively. When this number is successively divided by 5 and 4 the respective remainders will be

Answer 1

Answer:

2 and 3

Step-by-step explanation:

Let that number be X then

4   |   X    

5   |   Y   ⇒ 1 when X divided by 4, remainder is 1 means 4Y+1=X

         1   ⇒ 4 when Y divided by 5, 4 is the remainder implies 5*1+4=Y=9

X=4*9+1=37

5  |   37

   4  |  7 ⇒2

          1  ⇒ 3