NIMCET 2021 Question Paper with solutions

Question : 78 of 120

Marks: +1, -0

Choose the correct option for the remainder when

X=1 !+2 !+3 !+.........

+100 !

is divided by 24

Solution:

We have to find the remainder when

1 !+2 !+3 !+......+100 !

is divided by 24 .

{1 !+2 !+3 !+4 !+\....}/{24}

={1}/{24}+{2}/{24}+{6}/{24}+1+5 \.....

={9}/{24}=9

is remainder

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