A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?
Choose the correct choice from the following choices.
A) 199
B) 200
C) 28
D) 12
E) 25
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= 
<gadget id="calculator">9997 - 7654</gadget>
<output>2_343</output>
2343   9997 - 8506= 
<gadget id="calculator">9997 - 8506</gadget>
<output>1_491</output>
1491   8506 - 7654= 
<gadget id="calculator">8506 - 7654</gadget>
<output>852</output>
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   199nswer is 199
<result>A</result>
A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?