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
Options:
A . 1, 2
B . 2, 3
C . 3, 2
D . 4, 1
E . None of these
Answer: Option B 4 | x y = (5 × 1 + 4) = 9 ------------ 5 | y - 1 x = (4 × y + 1) = (4 × 9 + 1) = 37 ------------ | 1 - 4 Now, 37 when divided successively by 5 and 4, we get 5 | 37 ------------- 4 | 7 - 2 ------------- | 1 - 3 Respective remainders are 2 and 3
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