NDA2023MathematicsBasics of MathematicsActual
If 1!+3!+5!+7!+ +199 ! is divided by 24 , what is the remainder?
Options
- A3
- B6
- C7
- D9
Correct answer
C. 7
Step-by-step solution
aligned & Since, 1!+3!+5!+7!+ +199! 24 & = 1+6+5 24+7 6 5 24+ +199 ! 24 & = 1+6 24 + 24 k 24 = 7 24 + k ( Where k Z )=7 aligned