# Olympiad Math (December 7 – December 14, 2013)

**Day of the Week**

*Today is Saturday, December 07, 2013. What day of the week days from now will fall?*

Comment your answer below. Note: I am the only one who can see your comments. You are only allowed to comment your answer once. Comments will be revealed next week December 14,2013(Philippines Time). You can also send your answer to techiemathteacher@gmail.com. Please don’t forget to include the name of your school.Names of those who commented the correct answer will be posted in this page immediately after the answer has been reviewed. Happy Solving!

Correct answer were submitted by:

1. John Rey Jimenez. Negros Occidental High Schol

2. Arsh Singh. yourmathguru.com

3. Jomari Tan. DLSU

4. John Michael Maninang.UST

5. Raymond John Diaz. (School Please)

6. Jeffry Robles. University of the Philippines – Diliman

7. Roger Tseng

8. Marlon Chris Malicsi. UST

9. Muthu Krishnan .Kle College. Bengaluru

10.** **Kim Arvin P. Leocadio. Bicol University

11. Ana Quiros. DLSU.

12. Sidhhart Dwevide. IIT Bombay.

13. Quant Master. unknown. (comment your name and school pls)

14. Carl Joshua Quines, Valenzuela City Science HS

15. Carlo Jay Vizcarra. Pamantasan ng Lungsod ng Maynila

16. John Ryan Regalario (comment your school)

17. Mark C. Angeles from Unversity of Southeastern Philippines (USeP) Tagum City Campus

### Dan

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John Michael Maninang

UST

Friday

Friday

Friday.Because 13 is equal to -1 modulo 7, so 13^2013 is equal to(-1)^2013=-1. One day before Saturday would be Friday.

friday

FRIDAY

Answer: Friday.

Friday

13 = -1 (mod 7)

So, 13^2013 = -1 (mod 7) = 6 (mod 7)

So, it was Saturday after (13^2013 – 6) days from now.

Hence after 13^2013 days, it will be Friday.

FRIDAY

Friday. Carl Joshua Quines, Valenzuela City Science HS

Friday

Pamantasan ng Lungsod ng Maynila

Friday

friday

Saturday

I’m Mark C. Angeles from Unversity of Southeastern Philippines (USeP) Tagum City Campus

My answer is Friday.

The correct answer is Friday. The simplest approach is Siddharth Dwivedi’s solution.

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