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Question

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


Options:
A .  1,2
B .  2,3
C .  3,2
D .  4,1
Answer: Option B

`:.`  y = (5 x 1 + 4) = 9

`x` = (4 x y + 1) =(4 x 9 + 1) 37

Now 37 when divided successively by 5 and 4, we get

Respective remainders are 2 and 3




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