NDA2023MathematicsBasics of MathematicsActual
Consider the following statements: 1. (25)!+1 is divisible by 26 2. (6)! +1 is divisible by 7 Which of the above statement is/are correct?
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
B. 2 only
Step-by-step solution
1. 25!+1 for any n 2, n! is even (divisible by 2 ) 25!+1 is odd hence can't be divided by 2 . 25!+1 also can not be divided by 26 as 26=13 2 2. 6!+1=720+1=721 . Clearly 721 is divisible by 7 . 2 only is correct.