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number system

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Source: — Problem Solving |

by Uva@90 » Tue Oct 15, 2013 3:04 am
vipulgoyal wrote:number of trailing zeros are in 100! + 200! ??
24
Hi Vipulgoyal,
I think this link will help a bit.
https://puzzles.nigelcoldwell.co.uk/nineteen.htm

Regards,
Uva.
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by theCodeToGMAT » Tue Oct 15, 2013 3:20 am

To find:
Number of trailing Zeros

100/5 = 20
20/5 = 4
So, 24 zeros in 100!

200/5 = 40
40/5 = 8
8/5 = 1
So, 49 zeros in 200!

Since, after addition the number of trialing zeros will be those of the smaller number
Hence, 24

For example:
1000 + 1000000 = 1001000 --> Number of trailing zeros eqivalent to those of smaller number
R A H U L
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by ceilidh.erickson » Tue Oct 15, 2013 4:52 pm
This question does not use GMAT-like language. The term "trailing zeros" is not used on the GMAT. Just a general warning - don't study from sources that are not similar to the real GMAT! If they don't use GMAT-like language, then they might not be testing GMAT-like concepts.

Please always name yours sources when posting questions.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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