Question

A boy divided the numbers 7654, 8506 and 9997 by a certain same remainder in each case. What is the common remainder? A) 156 B) 199 D) 231 15 25 40 and 75 is C) 211​

Answer 1

Step-by-step explanation:

Option D

Explanation:

If the remainder is same in each case and remainder is not given, HCF of the differences of the numbers is the required largest number.

9997 - 7654 = 2343

9997 - 8506 = 1491

8506 - 7654 = 852

Hence, the greatest number which divides 7654, 8506 and 9997 and leaves same remainder

= HCF of 2343, 1491, 852

= 213

Now we need to find out the common remainder.

Take any of the given numbers from 7654, 8506 and 9997, say 7654

7654 ÷ 213 = 35, remainder = 199