The number 2272 and 875 are divided by a 3 digit number N, giving the same remainders. The sum of the digit is :
Options:
A . 10
B . 11
C . 12
D . 13
Answer: Option A Let the remainder in each case be x Then, (2272 - x) and (875 - x) are exactly divisible by three digit number Difference : = (2272 - x) - (875 - x) = 1397 Factor of 1397 = 11 × 127 Since, both 11 and 127 are prime number Three digit number is 127 Sum of digits = 1 + 2 + 7 = 10 Note: - In this type of questions the number which divide the given number and leaves no remainder is either difference of number or a factor of difference.
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