Question

A number divided by 13 leaves a remainder 1 and if the quotient obtained is divided by 5,we get a remainder of 3.what will be the remainder if the number is divided by 65 ?

Answer 1

If the quotient, thus obtained ,
is divided by 5 ,

we get a remainder of 3 = 5+3 = 8

A number divided by 13 leaves a remainder 1 is = 13 x 8 + 1
                                                                                = 104 +1
                                                                                = 105

Remainder of the number when divided by 65 = 105 - 65
                                                                               = 40

Hope This Helps :)

Answer 2

Answer: The number is divided by 65

Step-by-step explanation:

If the quotient, thus obtained , is divided by 5 , we get a remainder of 3 = 5+3 = 8

A number divided by 13 leaves a remainder 1 is = 13 x 8 + 1 = 104 +1 = 105

Remainder of the number when divided by 65 = 105 - 65 = 40

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