2010 · Q6
What is the sum of the digits of the least number which, when divided by 52, leaves 33 as remainder; when divided by 78, leaves 59 and when divided by 117, leaves 98 as remainder?
Elementary MathematicsNumber System
- A17
- B18
- C19
- D21
Explanation
Each remainder is 19 short of the divisor, so N=LCM(52,78,117)-19=468-19=449; digit sum=17.