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Algebra

Cool goIITian

 Joined: 21 Apr 2009 Post: 70
26 Jun 2009 20:48:07 IST
0 People liked this
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A leaf is torn from a book. If sum of the numers of the remaining pages is 4581 the missing pages ar
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

A leaf is torn from a book. If sum of the numers of the remaining pages is 4581 the missing pages are?

Blazing goIITian

Joined: 4 May 2007
Posts: 697
29 Jun 2009 11:13:45 IST
0 people liked this

1 to n pages

let mth page be torn

summation 1 to n -m=4581

n(n+1)/2 - m=4581

n minimum should be 96

and m can be 4656-4581=75

(not sure regarding the method)

plzzz correct me.....

Cool goIITian

Joined: 4 Feb 2009
Posts: 74
30 Jun 2009 10:04:47 IST
1 people liked this

Notice that you cant tear off any page without tearing off da page on da oder side as well so we tear off an odd numbered page and da page on da oder side gets torn(+1) even-numbered page(-1).....

let da page be odd---2n-1,2n

even-2n,2n-1

thus sum=4n-1

by hit nd trial 4n-1=75..thus nos are 37 nd 38

Cool goIITian

Joined: 21 Apr 2009
Posts: 70
4 Jul 2009 19:30:49 IST
0 people liked this

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