A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively When it is succe...........

Quantitative Aptitude ( CCS) Number System

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

1, 2

2, 3

3, 2

4, 1

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Explanation:

N = 4(5k + 4) + 1
= N = 20k + 16 + 1
= N = 20k+ 17
Now, we need to calculate the remainders when the number is successively divided by 5 and 4
The question will be simpler if we just assume some value of 'k'
Let us put k = 1
= N = 20 + 17 = 37
= 37/5 = 7 + remainder of 2
= 7/4 = 1 + remainder of 3
So, the remainders are 2 and 3

Hence, option 2 is the correct answer.