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What is the largest power of 3 contained in 200!

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Joined: 07 Oct 2010
Posts: 180
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Kudos [?]: 104 [2] , given: 10

What is the largest power of 3 contained in 200! [#permalink]  24 Oct 2010, 10:29
2
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

84% (01:50) correct 16% (01:00) wrong based on 174 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.
Current Student
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Location: Malaysia
Concentration: Technology, Entrepreneurship
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Kudos [?]: 1134 [0], given: 235

Re: Can you take this challenge - 700+ quant [#permalink]  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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Math Expert
Joined: 02 Sep 2009
Posts: 27492
Followers: 4312

Kudos [?]: 42276 [0], given: 6012

Re: Can you take this challenge - 700+ quant [#permalink]  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......

So for this problem:

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

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Hope it helps.
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Location: United States
Concentration: Social Entrepreneurship, General Management
GMAT 1: 650 Q44 V35
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Kudos [?]: 18 [0], given: 42

Re: Can you take this challenge - 700+ quant [#permalink]  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
Math Expert
Joined: 02 Sep 2009
Posts: 27492
Followers: 4312

Kudos [?]: 42276 [0], given: 6012

Re: Can you take this challenge - 700+ quant [#permalink]  24 Jul 2013, 13:20
Expert's post
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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GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4933
Followers: 297

Kudos [?]: 54 [0], given: 0

Re: What is the largest power of 3 contained in 200! [#permalink]  13 Aug 2014, 11:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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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