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What is the largest power of 3 contained in 200!

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What is the largest power of 3 contained in 200! [#permalink] New post 24 Oct 2010, 10:29
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Question Stats:

84% (01:42) correct 16% (00:58) wrong based on 128 sessions
What is the largest power of 3 contained in 200!

A. 88
B. 48
C. 66
D. 97
E. 39

If you think this question is really a challenge for you and you appreciate this kind of question then consider giving me some KUDOS......
[Reveal] Spoiler: OA

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Last edited by Bunuel on 09 Jul 2013, 07:53, edited 2 times in total.
Renamed the topic and edited the question.
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Re: Can you take this challenge - 700+ quant [#permalink] New post 24 Oct 2010, 10:36
vyassaptarashi wrote:
Try this 700+ level question

Q. What is the largest power of 3 contained in 200!

A. 88
B. 48
C. 66
D. 97
E. 39

Send me the replies people. I will provide you the official answer and method soon.


If you think this question is really a challenge for you and you appreciate this kind of question then consider giving me some KUDOS......



Answer = \frac{200}{3} + \frac{200}{3^2} + \frac{200}{3^3} + \frac{200}{3^4}
= 66+ 22 + 7 + 2 = 97

D
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Re: Can you take this challenge - 700+ quant [#permalink] New post 24 Oct 2010, 10:37
Expert's post
vyassaptarashi wrote:
Try this 700+ level question

Q. What is the largest power of 3 contained in 200!

A. 88
B. 48
C. 66
D. 97
E. 39

Send me the replies people. I will provide you the official answer and method soon.




If you think this question is really a challenge for you and you appreciate this kind of question then consider giving me some KUDOS......


Check this: everything-about-factorials-on-the-gmat-85592.html

So for this problem:

\frac{200}{3}+\frac{200}{3^2}+\frac{200}{3^3}+\frac{200}{3^4}=66+22+7+2=97.

Answer: D.

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Hope it helps.
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Re: Can you take this challenge - 700+ quant [#permalink] New post 24 Jul 2013, 13:18
How did you know to stop at 200/3^4 and what is the theory behind this. I have been trying all of the questions you have on the put on here, but I guess i do not understand the theory behind this. Could you elaborate?

Thanks,
AK
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Re: Can you take this challenge - 700+ quant [#permalink] New post 24 Jul 2013, 13:20
Expert's post
anujkhatiwada wrote:
How did you know to stop at 200/3^4 and what is the theory behind this. I have been trying all of the questions you have on the put on here, but I guess i do not understand the theory behind this. Could you elaborate?

Thanks,
AK


Link to theory was provided above: Check this: everything-about-factorials-on-the-gmat-85592.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: What is the largest power of 3 contained in 200! [#permalink] New post 13 Aug 2014, 11:59
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Re: What is the largest power of 3 contained in 200!   [#permalink] 13 Aug 2014, 11:59
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