Junior Online Mathematics Contest

\[ \large \color{red}{Junior}\quad \color{blue}{Online} \quad \color{green}{Mathematics} \quad \color{red}{Contest} \]

Hello every $\quad \displaystyle \dfrac{4}{7 \zeta(3)}\int_{0}^{\infty}{\ln^2{( \tanh(x))} dx}$

We are hosting the JOMC Season 1. It is a great contest. The prelims have begun and will last upto 18th Feb 2016. Go here.

Procedure :-

You have to clear the Pre-JOMC to get into the JOMC.
There will be a google form linked on the website. I linking it here as well.Here you will be required to fill in the answers to the Pre-JOMC Questions(which are very easy).
For the Pre-JOMC Questions there is the contest file linked on the website. I'll link it here as well.
If you have submitted a wrong answer then email your details along with the correct answer to the question and their solutions(in any format PDF,Image etc) to [email protected]
Result will be declared on the site on 19th Feb. Those selected will be emailed the contest file. Rest details of the main Contest will be told on 19th Feb.
Any Doubt/Problem/Queries/Suggestions should be emailed to [email protected] or leave a comment below

Note: - I am improving the graphics over time. If someone is interested to help in it. Please leave a comment below or contact [email protected]

P.S : - In Q2 the dot means multiplication not decimal.

Markdown

Appears as

*italics* or _italics_

italics

**bold** or __bold__

bold


- bulleted
- list

bulleted
list


1. numbered
2. list

numbered
list

Note: you must add a full line of space before and after lists for them to show up correctly

paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)

example link

> This is a quote

This is a quote

    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"

# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"

Math

Appears as

Remember to wrap math in $ ... $ or \[ ... \] to ensure proper formatting.

2 \times 3

2 \times 3

2^{34}

2^{34}

a_{i-1}

a_{i-1}

\frac{2}{3}

\frac{2}{3}

\sqrt{2}

\sqrt{2}

\sum_{i=1}^3

\sum_{i=1}^3

\sin \theta

\sin \theta

\boxed{123}

\boxed{123}

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

The questions are tough !

Sahil Bansal - 5 years, 4 months ago

Sorry bro I was not able to help in website building (am buzy bcoz of boards and stuff.....)

BTW the website is not opening in chrome.

Harsh Shrivastava - 5 years, 4 months ago

It is opening in my chrome.

Rajdeep Dhingra - 5 years, 4 months ago

Ummm The second question is asking for the last 3 digits of the minimum integer value or decimal ?

Aditya Narayan Sharma - 5 years, 4 months ago

@Aditya Narayan Sharma – integer

Rajdeep Dhingra - 5 years, 3 months ago

@Rajdeep Dhingra – Ya but the results ?

Aditya Narayan Sharma - 5 years, 3 months ago

@Aditya Narayan Sharma – Mailed to those selected.

@Rajdeep Dhingra – @Rajdeep Dhingra Should we submit solitions to all the five problems together? Also in problem 4 I think it should be lattice plane instead of any plane. In problem 3 should we prove that their exists arc AB=CD=EF or the line segment AB=CD=EF?

A Former Brilliant Member - 5 years, 3 months ago

@A Former Brilliant Member – @Sharky Kesa Please answer.

Give your solutions in any manner. All 5 need not be given together.

@Rajdeep Dhingra – I didnt Got The Results @Rajdeep Dhingra

Kaustubh Miglani - 5 years, 2 months ago

@Aditya Narayan Sharma – Answer is an Integer.

@Rajdeep Dhingra – When will the results be out ?

@Rajdeep Dhingra – Will the results of the final event declared here or mailed? And if possible to say I want to know thepossible dates

Aditya Narayan Sharma - 5 years, 2 months ago

@Aditya Narayan Sharma – Since people had exams , the last date of submission has been extended to 2nd April. Result will be declared on the website on about 3rd April.

Rajdeep Dhingra - 5 years, 2 months ago

Now that the rèsults are out can you please post the solutions because although l solved the question I don't think mine was the best method.

Chaitnya Shrivastava - 5 years, 3 months ago

@Chaitnya Shrivastava – I am a little busy. I'll surely post it as soon as I get time.

@Rajdeep Dhingra – Okay whenever you're free ☺

Shit! I'm 10 days late

Surya Sharma - 5 years, 3 months ago

If you submit it I will allow you. The main event last tills 25th March.

Thank you brother/sir!!!(whichever you like)

@Surya Sharma – You are older than me. You can call me by name.

@Rajdeep Dhingra – I'm 15 :):)

@Rajdeep Dhingra – Hey we both are dipsites...I'm from DPS R.K. Puram

@Surya Sharma – Your class ? I turned 15 this 21st Feb.

@Rajdeep Dhingra – I'm in grade 10. I turned 15 in September last year

@Surya Sharma – I am in 9th.

@Rajdeep Dhingra – Ok nice.....class 9 maths is all geometry

@Surya Sharma – Yup.

@Rajdeep Dhingra – I hate geometry and I love algebra. Brilliant surely has great questions

@Rajdeep Dhingra When will the physics contest start ?

CH Nikhil - 5 years, 3 months ago

I have exams on so unable to make problems. I'll do it soon. Till that time see this and this. Also remind me on 21st March to make it.

Pls Make The Contest.I am eager to Participate @Rajdeep Dhingra

@Kaustubh Miglani – Ok. Lemme see.

@Rajdeep Dhingra – Will the results be out tomorrow ?

When will be the results out ? And where will be they published?

Sayandeep Ghosh - 5 years, 2 months ago

When will the results declared

Shivam Jadhav - 5 years, 2 months ago

I am really really busy. As I get some time off my hands I'll do it.

I think the results were to be declared in may when you might be free. So its may, will the results be out this month ? @Rajdeep Dhingra

Aditya Narayan Sharma - 5 years, 1 month ago

@Aditya Narayan Sharma – He is injso camp so most probably he would not be able to declare results.

Harsh Shrivastava - 5 years, 1 month ago

@Harsh Shrivastava – Oh thanks for the info. So they would be declared after he returns maybe.

@Aditya Narayan Sharma – 24th

Rajdeep Dhingra - 5 years, 1 month ago

I can help in you in the Physics Competition, if any is gonna be organised.

Swapnil Das - 4 years, 10 months ago

I'll see. Maybe in December

Rajdeep Dhingra - 4 years, 10 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$