Q.

The remainder when x=1! +2! +3! +......+100! is divided by 240 is:

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a

153

b

33

c

73

d

187

answer is A.

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Detailed Solution

Forr≥6 ; r! is divisible by 240. Thus when  x  is divided by 240, the remainder is 1! +2! +3! +......5!=153
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