A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively when it is divided by 5 and 4 the respective remainders will be
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When divided by 4, the number leaves remainder 1 so the number must be of the form 5 or 9 or 13 or 17 or 21 etc. For each of these numbers, remainder will be 1 and quotient will be 1 or 2 or 3 or 4 or 5 respectively. When the quotient obtained is divided by 5, it leaves remainder 4.
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Answer:
remainders will be 2 and 3 respectively.
because ..
37 satisfied all conditions of question.
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