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The highest power of 3 that divide 100! is

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Joined: 02 Sep 2009
Posts: 53004
The highest power of 3 that divide 100! is  [#permalink]

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New post 29 Jan 2019, 22:43
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

50% (01:24) correct 50% (01:13) wrong based on 38 sessions

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Joined: 09 Mar 2018
Posts: 1000
Location: India
The highest power of 3 that divide 100! is  [#permalink]

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New post Updated on: 30 Jan 2019, 08:06
Bunuel wrote:
The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43


IMO B

Tested using this
https://gmatclub.com/forum/everything-a ... 85592.html

100/3 + 100/9 + 100/27 + 100/81

48

Posted from my mobile device
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If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.


Originally posted by KanishkM on 29 Jan 2019, 22:48.
Last edited by KanishkM on 30 Jan 2019, 08:06, edited 1 time in total.
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Joined: 18 Aug 2017
Posts: 1846
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: The highest power of 3 that divide 100! is  [#permalink]

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New post 30 Jan 2019, 01:05
1
Bunuel wrote:
The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43


100!/3+ 100!/9+100!/27+100!/81

33+11+3+1
48
IMO B
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Joined: 18 Aug 2017
Posts: 1846
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: The highest power of 3 that divide 100! is  [#permalink]

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New post 30 Jan 2019, 01:06
1
KanishkM wrote:
Bunuel wrote:
The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43


IMO C

Tested using this
https://gmatclub.com/forum/everything-a ... 85592.html

100/3 + 100/9 + 100/27 + 100/81

47

Posted from my mobile device

KanishkM
answer would be 48 not 47; please check.
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If you liked my solution then please give Kudos. Kudos encourage active discussions.

GMAT Club Bot
Re: The highest power of 3 that divide 100! is   [#permalink] 30 Jan 2019, 01:06
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