Aptitude

Topic: Numbers

What is the remainder left after dividing 1! + 2! + 3! +...... +.........¦ + 100! By 7?

7! onwards all terms are divisible by 7 as 7 is one of the factor. So there is no remainderleft for those terms i.e. remainder left after dividing 7! + 8! + 9! + ... + 100! is 0.The only part to be consider is= 1! + 2! + 3! + 4! + 5! + 6!= 1 + 2 + 6 + 24 + 120 + 720= 873The remainder left after dividing 873 by 7 is 5Hence, the remainder is 5

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