What % of users are still playing the game daily? [closed] - data-science

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I am going to share a question that I was asked in a data science interview. I failed the interview as I couldn't answer the question and still now I don't have any idea how to solve it.
Below a data table is given. It's about number of users of a mobile game.
Users Assigned = Newly added users on a day.
Active users = Total users active on a day.
The question is- What % of users are still playing the game daily?
Options are
Almost 5%
Almost 10% to 15%.
And I was ask to show the step by step processes.
It was my first-ever interview in life, so I was nervous and couldn't solve within given time. I hope someone will answer me here and will explain it clearly.

On day 0 you have 4051 users, all of which are active.
On day 1 you have 4095 added users meaning 4051+4095, of which 5522 are active.
Given that registration seems to indicate activity, we have to exclude those that registered today, meaning
Day 1 active users = (5522-4095) / (4051+4095) = 0.1751780015 => 18%
Continue this until day 6 when you have 6820 active with a total playerbase of 4051+4095+3868+3921+4010+4070+4001
Day 6 = (6820-4001) / (4051+4095+3868+3921+4010+4070+4001) = 0.1006210737 =>10%

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I was recently asked the following question in an interview.
"How would you design a system to keep track of a million items at xyz.com ?
The xyz.com could update the prices maybe 2-3 times a day or once per month, so no guarentee on frequency.
Your system should show accurate prices for >95% of items at any given point of time and aim for 99%.
Also scale for 1billion items etc..
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I asnwered along the lines of creating a distributed system app that would categorize items by priority (based on historical price fluctuations and 80/20 % rule etc) and do API calls more frequently for these.
But I was not allowed to use API calls.
I suggested scraping html content. (But the website can block my ip for such high load)
I basically want to know the resources that would help me anwering these type of questions. Prefer full length courses (Distributed systems ?) or books rather than quick-fix blogs.

What do these questions mean and how do I approach them? [closed]

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I am currently making documentations in regards to my finished product, however I do not understand what the question wants by asking for:
Qualitative assessment of performance
Quantitative assessment of performance
A qualitative assessment of performance is a assessment which doesn't use specific measurements but compares the performance with the expectation or needs of the user. So something like:
The performance of the import is low, but acceptable for the intended use.
reaction of the application to user input most cases so fast, that no waiting time is perceived.
A quantitative assessment is based on measurements:
The import processes 1 million records per hour
98% of all user interactions are processed withing 0.2 seconds
Also more detailed information like standard deviations or plotting a measure with regards to some variable, would be a quantitative assessment.
Note that both assessments are important. The quantitative is great for comparisons, for example if you want to compare the performance of two versions of an application.
The qualitative is what really matters. In the end it often doesn't matter how many millions or records you process per ms. The question is: Is the user satisfied, and in most cases the user doesn't base their feelings on some measurement, but on ... well ... their feelings.

Max number of apps in Apple App Store account? [closed]

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Is there a limit to the number of iOS apps that can be in a single iTunes Connect account? I have heard that there's a limit of 100 but can't find any documentation to back this up and I imagine that there are lots of companies that need to manage more than 100 apps.
No, I've never seen a limit to the number of apps you can have in your account, and I've seen way over 100. That being said, iTunes Connect isn't easy to work with at the best of times, and it gets increasingly clumsy as the number of apps grows – don't expect a pleasant experience managing them all!
Sadly, this management problem extends to Xcode as well – expect lots of provisioning profiles and archives cluttering things up if you're not careful.

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I didn't realise there is a limit on the maximum number allowed in all versions of Excel (15 digits long max).
I've made an error by manually entering loads of values only to discover that I lose the accuracy after the first 15 digits which are replaced by zeroes in affect. It was nearly a 3 hour piece of work which it looks like I will have to repeat unless anyone know a way to help me.
Since then I've saved and exited my spreadsheet. Later on a customer came back to me to say that that the numbers I gave them are inaccurate as they only only go up to 15 digits for accuracy.
I then researched this on the net to find that I should have formatted the column as Text before copying in the number that is more than 15 characters.
Does anyone know if there is any way to get the numbers back or is will I have generate my spreadsheet all over again?
There is no way to get the numbers back. You will have to generate your spreadsheet again.

Historical Depth Data MtGox with higher granularity [closed]

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I was doing some research and a need arized to get mtgox historic depth data, their api was not giving a lot of good info, it gives around ~6k bids and asks and most of them in last 3-4 months, while all of the dataset starts around 2010. I was looking for bid ask data with higher granularity, preferably for more currencies than just btc to usd.
Any help would be really appreciated.
You can access MtGox's full historical trade data via Google BigQuery.
See here for more information:
https://bitcointalk.org/index.php?topic=218980.0
I haven't seen anywhere that you could get the full order book history though. That would be an absolutely massive data set if it existed, so I doubt if anyone has such a thing available.
There is currently a new software developed to download all historical data from various exchanges and currencies. The release date expected is October 2013.
More details here: https://bitcointalk.org/index.php?topic=282154.0
The latest source for MtGox's data feed is: https://en.bitcoin.it/wiki/MtGox/API/Pubnub
And PubNub's Bitcoin Exchange Solution Kit based on the above: http://rtbitcoin.co/