question_answer

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

A) 4, 1

B)  3, 2   

C)  2, 3

D)  1, 2

Correct Answer: C

Solution :

The least number X in this case will be determined as follows \[Y=5\times 1+4=9\] \[X=4\times Y+1=4\times 9+1=37\] Now, Hence, the respective remainders are 2, 3.