Latest Elitmus Aptitude Question SOLUTION: Find the probability that the sum of n numbers is divisible by n ,,assuming n is very large no. a)1 b) 1/2 c) 3/4 d) None of these e)Can't be determined.

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(#M40156327) ELITMUS Numerical Ability question Keep an EYE

Find the probability that the sum of n numbers is divisible by n ,,assuming n is very large no.

a)1 b) 1/2 c) 3/4 d) None of these e)Can't be determined.

Asked In Elitmus Aakash (8 years ago)

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Mallikarjuna Reddy  (8 years ago)

sum of n numbers is n(n+1)/2
case 1)when n is odd take 3
Sum is 3*4/3 it is divisible by 3
we can conclude that n=odd sum of n numbers is divisible by n
case2) when n is even take 4
Sum is 4*5/2=>10 10/4 rem is 2 so not divisible
we can conclude that n=even sum of n numbers is not divisible by n
Total of total 2 cases 1 case is possible
So probability=possible/total=1/2
Ans--1/2

Is this solution Helpfull? Yes (43) | No (2)  

yogesh kumbhat  (7 years ago)

n*(n+1)/2 is always divisible by n for this (n+1)/2 must be integer so n should be odd that's why answer is 1/2.

Is this solution Helpfull? Yes (6) | No (2)  

Madhusudhana  (8 years ago)

n*(n+1)/2 is always divisible by n
so probability is one
answer a

Is this solution Helpfull? Yes (5) | No (17)  

Wali Nusker  (6 years ago)

This is a bit confusing for me.
It is not mentioned "Sum of first n natural numbers" or "consecutive numbers".
If the n numbers are randomly selected then the solution can't be determined.
If n is consecutive probability is 0.5.

Is this solution Helpfull? Yes (1) | No   

rajat bhawsar  (6 years ago)

n(n+1)/2 , which is always divisible by n
so, the prob. will be always 1

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