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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

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. 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.

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