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 Command Prompt 

Welcome to Command Prompt—MathCon's very own virtual freedom wall. Submit below anything that addresses the prompt, "Did you ever have an 'ang talino ko sa math' moment?" and upvote the answers you find worthy of getting featured. The three answers with the highest number of upvotes by December 13, 11:59 pm will be featured in the MathCon FB page and will receive a 10% discount voucher brought to you by our major sponsor, Soletees!

 System Glitch 

Hello there, human! I'm Tyrone, you can call me an interpreter of the orb. I'm glad you stopped by, I believe there's something wrong with my system but my robot skills aren't enough to do self-diagnosis. I heard humans are intelligent though. Do you think you can help me demystify these problems?

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System Glitch 1

Oh no, a bug appeared in the system! 

Help Tyrone in figuring out how to first unlock the control panel. In his troubleshoot guide, instructions are written so that the passcode will still be accessible but only by some individuals. Can you help Tyrone figure it out?

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The passcode has 5 distinct digits: 
81746 - four correct, one well-placed
29640 - three correct, two well-placed
68153 - two correct, none well-placed
23589 - one correct, none well-placed. 

The passcode is also divisible by 9. 

System Glitch 1

System Glitch 1 has closed. Thank you for participating!

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System Glitch 2

Tyrone was able to enter the system and fix System_Glitch 1. However, another issue arose and another contingency measure is needed. This time, Tyrone is working with binary digits.

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The only clue given to Tyrone is that the passcode slot consists of binary numbers with no consecutive zeroes. There is a minimum of 8 slots, maximum of 15 slots. Since Tyrone is not yet optimized since the orb's last visit, what is the maximum number of passcodes can Tyrone attempt?

System Glitch 2

System Glitch 2 has closed. Thank you for participating!

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System Glitch 3

System Glitch 3

Motherboard has three children, Tyrone the Drone, Bobot the Robot, and Eli the AI. 

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Two of them like birds more than cats and one likes cats more than birds as pets. Two of them prefer the color red over blue and one prefers blue over red. Two of them want pancakes more than oats for breakfast and one wants oats more than pancakes. The child who likes cats more than birds wants pancakes more than oats for breakfast, the child who prefers red over blue likes birds more than cats, and the child who wants oats more than pancakes for breakfast prefers blue over red. 

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If Tyrone and Eli like birds more than cats as pets, does Bobot want oats more than pancakes for breakfast?

System Glitch 3 has closed. Thank you for participating!

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System Glitch 4

System Glitch 4

The quarantine has taken so long to end that even Tyrone has come to a conclusion that time is a construct. Can you help Tyrone regain a sense of time by answering this System Glitch 4? 

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The date today and the same date 5 years later has the same day. If the day after 3 days before the day after tomorrow is Wednesday, what day will it be on the same date 2 years from today?

System Glitch 4 has closed. Thank you for participating!

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