Question

An integer when divided by 6 gives remainder 4 .The resulting quotient when divided by 7 gives remainder 6 .The resulting quotient is then divided by 6 giving quotient 1 and a remainder 3 .What will be the final remainder if the order of the divisions is reversed​

Answer 1

Answer:

418

Remainder = 3

Step-by-step explanation:

Let say Integer = P

P = 6Q + 4

Q = 7R + 6

R = 6 * 1  + 3

=> R = 9

Q = 7*9 + 6

=> Q = 69

P = 6*69 + 4

=> P = 414 + 4

=> P = 418

Integer = 418

418/6 = 69* 6 + 4

69/7 = 9* 7 + 6

9/6  = 1 * 6 + 3

Remainder = 3