Question

The integers 49966 and 52231 when divided by a three digit number ‘n’ give
the same remainder. What is the value of n?
1. 367
2. 453
3. 462
4. 298

Answer 1

Answer:

453

Step-by-step explanation:

To answer this question we will try all the options.

1) 367

49966 ÷ 367 = 136 and a remainder of 54.

52231 ÷ 367 = 142 and a remainder of 117

2) 453

49966 ÷ 453 = 110 and a remainder of 136

52231 ÷ 453 = 115 and a remainder of 136

We see that when we divide the two by 453 we get a remainder of 136 in both.

The answer is therefore 453.