Question

When a number is divided by 457 the remainder is 38 and if the same number is divided by 17, then remiander will be

Answer 1

Answer:

remainder = 4

Step-by-step explanation:

Correct question is

When a number is divided by 459 the remainder is 38 and if the same number is divided by 17, then remiander will be

Let say number = N

N = 459x + 38

where x is an integer

=> N =  17 * 27x  +  34 + 4

=>N =  17 * 27x  +  17*2 + 4

=> N = 17*(27x + 2) + 4

27x + 2 will also be an integer

hence remainder = 4

we take question as 457 only then multiple answer possible

number 495  

495 = 457 * 1 + 38

495 = 17 * 29  + 2

952 = 457*2 + 38

952 = 17 * 56  ( No remainder)