functions g(g(g(g(g(x))))) = 19

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pappueshwar: Master | Next Rank: 500 Posts; Posts: 234; Joined: Fri Oct 01, 2010 7:28 pmFollowed by: 4 members; Location: chennai; Thanked: 5 times

by pappueshwar » Sun Feb 05, 2012 1:00 am

hi all,
request if any one can give an easier solution to understand the below probelm

The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation?

choices:
A) 1
B) 5
C) 7
D) 8
E) 11

[Moderator Edit: Moving the post to GMAT Math -> Problem Solving]

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Source: Beat The GMAT — Problem Solving | Sun Feb 05, 2012 1:00 am

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Mike@Magoosh: GMAT Instructor; Posts: 768; Joined: Wed Dec 28, 2011 4:18 pmFollowed by: 140 members; Location: Berkeley, CA; Thanked: 387 times

by Mike@Magoosh » Sun Feb 05, 2012 11:51 am

Hi, there.

You can see my full solution to this question at

https://www.beatthegmat.com/function-pro ... 02358.html

Please let me know if you have any questions.

Mike

Magoosh GMAT Instructor
https://gmat.magoosh.com/

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Mon Feb 06, 2012 5:45 am

Hey Eshwar,

You can see my solution here -> https://www.beatthegmat.com/functions-t102958.html.

Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Feb 06, 2012 7:31 am

pappueshwar wrote:hi all,
request if any one can give an easier solution to understand the below probelm

The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5. Given that g(g(g(g(g(x))))) = 19, how many possible values for x would satisfy this equation?

choices:
A) 1
B) 5
C) 7
D) 8
E) 11

[Moderator Edit: Moving the post to GMAT Math -> Problem Solving]

The correct answer is D.

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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