Latest self Aptitude Question SOLUTION: 1(1!)+2(2!)+3(3!)+4(4!)+5(5!)+..........................................100(100!) if it is divided by 42 then what is the remainder?

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(#M40017948) SELF question Quant Keep an EYE

1(1!)+2(2!)+3(3!)+4(4!)+5(5!)+..........................................100(100!) if it is divided by 42 then what is the remainder?

glory agarwal (11 years ago)

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Dr.Dipin Singh  (11 years ago)

In case of

1(1!)+2(2!)+3(3!)+4(4!)+5(5!)+..........................................100(100!) , all terms after 7! are divisible by 42.
so we consider remainder for terms
1(1!)+2(2!)+3(3!)+4(4!)+5(5!)+6*(6!) only when divided by 42.
1(1!)+2(2!)+3(3!)+4(4!)+5(5!)+6*(6!)= 1+4+18+96+600+4320 = 5039 = 119 41/42

so 41 is the remainder.

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