Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion



Algebra

Titun's Avatar
Forum Expert
Joined: 23 Dec 2006
Post: 374
26 Dec 2006 12:17:27 IST
0 People liked this
7
864 View Post
Brain Teaser
None

There are N boxes, each containing at most r balls. If the number of boxes containing, at least 1 ball is N1, at least 2 balls is N2, at least 3 balls is N3, at least 4 balls is N4, at least 5 balls is N5 .........................& at least r balls is Nr,
 
then find out ( if possible ) the total number of balls contained in these N boxes?
                
                                          


Share this article on:

Comments (7)


New kid on the Block

Joined: 25 Dec 2006
Posts: 16
26 Dec 2006 20:09:31 IST
0 people liked this

hi i am ram kumar i think it should be

r(r+1)/2*(1-(r(r+1)/2
Titun's Avatar

Forum Expert
Joined: 23 Dec 2006
Posts: 374
26 Dec 2006 21:34:41 IST
0 people liked this

The answer is short and simple and independent of r.

Cool goIITian

Joined: 26 Dec 2006
Posts: 50
26 Dec 2006 21:47:53 IST
0 people liked this

according to me it isnt possible to find the exact number of balls.

to explain myself:
N1 may contain : 1,2,3,...N balls
N2 may contain : 2,3,...,N balls
N3 may contain : 3,4,...,N balls
NN may contain :N balls

so the number of balls may lie between
N(N+1)/2 and NN

p.s ram kumar can you please tell me how you came to your conclusion?
Das Mukerjee's Avatar

Cool goIITian

Joined: 23 Dec 2006
Posts: 50
27 Dec 2006 12:57:31 IST
0 people liked this

Hey, titun is the answer N1+N2+N3..............+Nr

Cool goIITian

Joined: 26 Dec 2006
Posts: 50
27 Dec 2006 14:07:15 IST
0 people liked this

ariyam i think N1, N2, etc are the names of the boxes

kartikAIR1's Avatar

Scorching goIITian

Joined: 2 Mar 2012
Posts: 297
20 Mar 2012 00:23:44 IST
0 people liked this

 I got this,

N1 + N2 + N3 + N4 +N5 + .......................+ Nn


Cool goIITian

Joined: 19 Mar 2012
Posts: 46
20 Mar 2012 00:32:16 IST
0 people liked this

n1 +n2+n3+n4+.....+nr......!!!



Quick Reply


Reply

Some HTML allowed.
Keep your comments above the belt or risk having them deleted.
Signup for a avatar to have your pictures show up by your comment
If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team
Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor


@ INR 1,995/-

For Quick Info

Name

Mobile No.

Find Posts by Topics

Physics.

Topics

Mathematics.

Chemistry.

Biology

Parents

Board

Fun Zone

Sponsored Ads