Aman verma wrote:Q : At a meeting of the Senate there were n people.As per the convention everyone has received some chocolates in the following manner . As A,B,C,D,E ...... etc have received 1,2,3,4,5....etc chocolates respectively.Before anyone has eaten a bit of chocolate, due to some urgent call , the chairman left the meeting with his chocolates . Later on the rest of the attendants collected their chocolates in a box and then redistributed all the chocolates evenly among themselves and thus everyone has received 13 chocolates .Minimum number of person who attended the meeting can be :

a) 15

b) 18

c) 24

d)32

e) 38



Ans 24

harsh.champ wrote:
1+2+3+4+......+n = total no. of chocolates = n(n+1)/2
Now,for minimum no. of persons,the chairman should be the nth person.
Hence,n(n+1)/2 -n =13(n-1)

firdaus117 wrote:

harsh.champ wrote:
1+2+3+4+......+n = total no. of chocolates = n(n+1)/2
Now,for minimum no. of persons,the chairman should be the 1st person.
Hence,n(n+1)/2 -n =13(n-1)

Hey your solution yields no result.Check it urself.You have wrongly assumed that chairman has to be n th person for minimising 'n'.
I have an easier approach to this question i.e. work through options.
1. 15 sum=120 13*14=182 Rejected
2. 18 Sum=171 13* 17=221 Rejected
3. 24 Sum=300 13*23=299 Accepted
The chairman will have 300-299=1 chocolate. :)Poor man.What's the use being a chairman if u can't have all chocolates.

the chairman should be the 1st person.
Hence,answer is n(n+1)/2 -1 =13(n-1)
which is 24 C.

harsh.champ wrote:

firdaus117 wrote:

harsh.champ wrote:
1+2+3+4+......+n = total no. of chocolates = n(n+1)/2
Now,for minimum no. of persons,the chairman should be the 1st person.
Hence,n(n+1)/2 -n =13(n-1)

Hey your solution yields no result.Check it urself.You have wrongly assumed that chairman has to be n th person for minimising 'n'.
I have an easier approach to this question i.e. work through options.
1. 15 sum=120 13*14=182 Rejected
2. 18 Sum=171 13* 17=221 Rejected
3. 24 Sum=300 13*23=299 Accepted
The chairman will have 300-299=1 chocolate. :)Poor man.What's the use being a chairman if u can't have all chocolates.

Hey firdaus,
Thanks .Great approach over here.
Actually,I took the other-way-round .
It should be

the chairman should be the 1st person.
Hence,answer is n(n+1)/2 -1 =13(n-1)
which is 24 C.

I guess now it is correct.

Aman verma wrote:Hey folks, I got no solution from anybody on the second part of the question ?

Aman verma wrote:Hey folks, I got no solution from anybody on the second part of the question ?