What is the remainder when 1 2 3 hellip 100 Is divided by 5 ........

Quantitative Aptitude ( CCS) Number System

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What is the remainder when 1! + 2! + 3! + … + 100! Is divided by 5?

5040

none of these

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Explanation:

1!+2!+3!+...+100! = 1!+2!+3!+4!+ integers divisible by 5 = 
1+2+6+24+ integers divisible by 5 = 33 + integers divisible by 5. 
So when 1!+2!+3!+...+100 is divided by 5, the remainder is 
the same as when 33 is divided by 5.
      6
   5)33
     30
      3
Hence,option 2 is the correct answer.