Latest TCS Aptitude Question SOLUTION: 1!+2!+..............+50! divided by 50 then remainder will be.

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(#M40011848) TCS question Keep an EYE

1!+2!+..............+50! divided by 50 then remainder will be.

Asked In TCS Sneha paliwal (12 years ago)

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Archana   (12 years ago)

@sneha
same when divided for 5 remainder is
remainder is (1!+2!+3!+4!)=1+2+6+24=33(ans)

Is this solution Helpfull? Yes (15) | No (3)  

BRIJESH KUMAR GUPTA  (12 years ago)

1/50(1+2+6+24+120+720+5040+40320+362880+0+0...)->10! onwards are divisible by 50
again simplifying we get1/50(1+2+6+24+20+20+40+20+80+0+0...)
adding all 1/50(213) rem=13
ANS=13

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PERACHISELVI  (12 years ago)

(1!+2!+3!+4!+5!+6!+7!+8!+9!.....)1/50 =
(1+2+6+24+120+720+5040+40320+362880)= 4091130.
the next no is 10! which is absolutely divisible by 50 and the remainder is 0
so 4091130/5 we get remainder as 30.
so ans is 30

Is this solution Helpfull? Yes (7) | No (5)  

Saurabh Pandey  (12 years ago)

13 yppp...
9!+8!+7!+6!+5!+4!+3!+2!+1=409113

divide this 6digit no. by 50 ..answer is 13..
10! and above are not counted because all of them have 10 and 5 which result in 50 .So, all are divisbl by fifty

Answer 13

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Archana   (12 years ago)

1/50(1+2+6+24+120+720+5040.....)
remainders of are=(1+2+6+24+0+0+0....) from 5! on wards the reaminder becoms zero
now adding the remainders= 1+2+6+24=33
dividing 33 by 5 we get remainder as 3
please mention the options for the question....

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lala  (12 years ago)

As in question of divide by 5…….. 1!+2!+3!+4! Reminder is sum of factorial up to 4 divided upon 5 and answer is 3 reminder……….
here 5! Is not coming in the sum for because in 5! There is term(multiple) of 5 and after 5! All next no. factorial having term(multiple) of 5
similarly when divide with 50! Up to 9! There is no nay term of 50 multiple
but from 10! There is term in expansion of 10!(10*5)i.e 50 comes so stops up to 9! Only…….so reminder is sum up to 9!/50
(1!+2!+3!+4!+5!+6!+7!+8!+9!.....)/50 =
(1+2+6+24+120+720+5040+40320+362880)= 409113.
409113/50 reminder is 13

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dkn  (12 years ago)

1!+2!+..............+50! divided by 50
reminder = 46

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lala  (12 years ago)

@a/t PERACHISELVI solution ...some correction only
(1!+2!+3!+4!+5!+6!+7!+8!+9!.....)1/50 =
(1+2+6+24+120+720+5040+40320+362880)= 4091130.
the next no is 10! which is absolutely divisible by 50 and the remainder is 0
so 409113/5 we get remainder as 13.
so ans is 13

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Sneha paliwal  (12 years ago)

plz also give ans when same divided by 5 than remainder is???????????????

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RAHUL KUMAR  (12 years ago)

@archna : you r wrong its not 5!,its 50 and i guess 720 is nt divided by 50..and likewise....is the question right

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Raja sekhar  (12 years ago)

(1!+2!+3!+4!+5!+6!+7!+8!+9!.....)1/50 =
(1+2+6+24+120+720+5040+40320+362880)= 4091130.
the next no is 10! which is absolutely divisible by 50 and the remainder is 0
finally the answer is 4091130.

Is this solution Helpfull? Yes | No (3)  

vikas  (12 years ago)

(1!+2!+3!+4!+5!+6!+7!+8!+9!.....)/50 =
(1+2+6+24+120+720+5040+40320+362880)= 4091130.
so,4091130/50=30
30*5=150,150/50=rem. is 0
the next no is 10!...20!...50! which is absolutely divisible by 50
ans rem 0

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