The number 2272 and 875 are divided by a 3 digit number N, giving the same remainders. The sum of the digit is :
A. 10
B. 11
C. 12
D. 13
Answer: Option A
Solution(By Examveda Team)
Let the remainder in each case be xThen, (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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Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Why should we subtract 875 from 2272?