Question

on dividing a certain number by 5,7 and 8 successively, the remainders are 2, 3 and 4, respectively. what would be the reminder if the order of the devision is reversed?​

Answer 1

Answer:

Here, the concept is of successive division

i.e. the no is first divided by 5 and it leaves remainder 2 and quotient is let x,

therefore we have ---------------------- (1)

and then the quotient x is divided by 7 and the remainder is 3

so, we have x in the form of

and then the quotient y is divided by 8 and the remainder is 4

so, we have x in the form of

putting this value of x and y in (1) above, we get

when this number will be divided by 8, we will get remainder = 5 and quotient = 35 z + 19

when this quotient will be divided by 7, we will get remainder = 5 and quotient = 5 z + 2

when this quotient will be divided by 5, we will get remainder = 2

Answer choice D

Kudos, if you like the explanation