BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Papercut parts

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1132
Joined: Mon Jul 20, 2009 3:38 am
Location: India
Thanked: 64 times
Followed by:6 members
GMAT Score:760

Papercut parts

by harsh.champ » Sun Feb 07, 2010 11:45 am
I cut a piece of paper in four equal parts. Now, I cut exactly one out of these four parts into four equal parts. Now, again if I keep on repeating the same process for infinite number of times, then which of the following can be the number of parts of paper at any instant of time?

(A)2048
(B)2049
(C)2050
(D)2051
(E)2052

The correct answer is C.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Sun Feb 07, 2010 11:57 am
harsh.champ wrote:I cut a piece of paper in four equal parts. Now, I cut exactly one out of these four parts into four equal parts. Now, again if I keep on repeating the same process for infinite number of times, then which of the following can be the number of parts of paper at any instant of time?

(A)2048
(B)2049
(C)2050
(D)2051
(E)2052

The correct answer is C.
in first cut no. of parts = 4 = 3x1 +1
in 2nd cut no. of parts = 3+4 = 3x2 +1
in 3rd cut no. of parts = 3+3+4 = 3x3 +1


similarly in nth cut no. of parts = 3n+1

solving for any of 2048,2049, 2050 , 2051 or 2052
2049 = 3n+1 --> n=2048/3=682.66
--> n=2050
The correct answer is C.[/quote]
Last edited by shashank.ism on Sun Feb 07, 2010 2:17 pm, edited 2 times in total.
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Sun Feb 07, 2010 12:33 pm
harsh.champ wrote:I cut a piece of paper in four equal parts. Now, I cut exactly one out of these four parts into four equal parts. Now, again if I keep on repeating the same process for infinite number of times, then which of the following can be the number of parts of paper at any instant of time?

(A)2048
(B)2049
(C)2050
(D)2051
(E)2052

The correct answer is C.
after the first cut the no of parts 4
after the second cut num of pieces = 3+4
after the third cut num of pieces = 3+3+4

After nth cut no of pieces = 3n+1
Inthe given numbers only 2050 can be expressed 2050 hence C
Always borrow money from a pessimist, he doesn't expect to be paid back.
Top
Post new topic Post Reply
• Page 1 of 1