Latest MBA Aptitude Question SOLUTION: 1!+2!+3!...+50! Divided by 5! Remainder will be ?

1) 0
2) 33
3) 77
4) 1

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(#M40013938) MBA Numerical Ability question number systems, progressions Keep an EYE

1!+2!+3!...+50! Divided by 5! Remainder will be ?

1) 0
2) 33
3) 77
4) 1

Asked In MBA (11 years ago)

Solved Garima Read Solution (9)

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Read Solution (9) :

Garima  (11 years ago)

remainder will be same as remainder obtained when 1!+2!+3!+4! is Divided by 5!

so 1!+2!+3!+4! = 1+2+6+24 = 33
so 33 is the remainder when 1!+2!+3!...+50! Divided by 5!.

Is this solution Helpfull? Yes (21) | No (7)  

Bharti Thukral  (11 years ago)

Answer is 0.

1+2+3+4+5 = 15/5, remainder is zero.

Then after sum of next 5 numbers in the series are divisible by 5 with zero remainder.

Is this solution Helpfull? Yes (4) | No (17)  

sagar  (10 years ago)

1+2+6+24=33 ans

Is this solution Helpfull? Yes (2) | No   

Debasish Roy  (11 years ago)

For any natural number m>=5, m! is divisible by 5!. So remainder is 1!+!+3!+4!when
1!+2!+.....50! is divided by 1.

Is this solution Helpfull? Yes (1) | No (4)  

Anand  (10 years ago)

33 .. 1! +2! +3! +4! +5!(1+6+7*6....)
1!+2!+3!+4! =33 and remaining terms are cancelled by 5! .. so remainder is 33

Is this solution Helpfull? Yes (1) | No   

Vidya Sagar  (11 years ago)

Remainder is 80

Is this solution Helpfull? Yes | No (6)  

dhanasekaran  (10 years ago)

0 n(n+1)/2 to get sum of 1 to 50=1275 this ans divisible by 5 so remainder will be "0"

Is this solution Helpfull? Yes | No (5)  

sushmita sen  (10 years ago)

the ans will be 33

Is this solution Helpfull? Yes | No   

Harsha ludhani  (10 years ago)

!+2!+3!+.............+50!
1! is the smallest and 50! is the highest
now the half of 50! is 25! and if we increase 1! in 50! it will give 51!
Now 25! * 51!=1275!
So,1!+2!+3!+...........+50!=1275!
now divide 1275! with 5!=255 and 1275 is completely divisible by 5 .
Hence, (1!+2!+3!+.................+50!)/5 then the remainder will be zero because it is completely divisible by 5.

Is this solution Helpfull? Yes | No (1)  

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