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# if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros?

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Retired Moderator
Joined: 05 Jul 2006
Posts: 1731
if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros?  [#permalink]

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11 Jan 2017, 03:12
1
00:00

Difficulty:

35% (medium)

Question Stats:

67% (00:54) correct 33% (00:58) wrong based on 66 sessions

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if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros are at the end of N?

1) 5
2) 7
3) 6
4) 10
5) 15

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re: if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros?  [#permalink]

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11 Jan 2017, 03:21
1
1
yezz wrote:
if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros are at the end of N?

1) 5
2) 7
3) 6
4) 10
5) 11

There is no correct answer there. The power of 2 in the product is less then the power of 5, thus the power of two will be limiting the number of zeros at the end. The power of 2 there is 2^5*(2^2)^5 = 2^15.

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Retired Moderator
Joined: 05 Jul 2006
Posts: 1731
Re: if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros?  [#permalink]

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11 Jan 2017, 03:24
1
Bunuel wrote:
yezz wrote:
if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros are at the end of N?

1) 5
2) 7
3) 6
4) 10
5) 11

There is no correct answer there. The power of 2 in the product is less then the power of 5, thus the power of two will be limiting the number of zeros at the end. The power of 2 there is 2^5*(2^2)^5 = 2^15.

Many thanks corrected.
Intern
Joined: 26 Sep 2017
Posts: 14
Re: if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros?  [#permalink]

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31 Oct 2017, 07:50
Bunuel wrote:
yezz wrote:
if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros are at the end of N?

1) 5
2) 7
3) 6
4) 10
5) 11

There is no correct answer there. The power of 2 in the product is less then the power of 5, thus the power of two will be limiting the number of zeros at the end. The power of 2 there is 2^5*(2^2)^5 = 2^15.

I'm sorry Bunuel, but I didn't understand your approach. Are there any other solutions?
Thanks

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: if N = 5^5 * 10^5 * 15^5 * 20^5*25^5 , how many trailing zeros? &nbs [#permalink] 31 Oct 2017, 07:50
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