For the JEE-nius :P

This set has been created exclusively for the JEE-MAIN exam that will be held in the month of April. My best wishes to all those who are taking the prestigious exam this year. You've truly been an inspiration to all the members of this fantastic website. i'm sure that your diligence and hard-work will not go in vain and all of you will succeed with flying colors!

P.S: These questions are not original, but adhere to the general pattern of the JEE paper. Also you may notice that these questions might get a Level 5 initially. Please don't be critical about it! I've done it just for fun:D

Do post your queries and feedback in the comments below. I'll be glad to respond to them!

Also try my other set, Best of Me

Fin.

#JEE

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

Query 1: Swain Sir, with all deference, what is the meaning of 'fin'? Also, how many marks do I get for my presentation of the question? Or will you fail me again!

User 123 - 6 years, 2 months ago

"Fin" means "The End" , in French .

A Former Brilliant Member - 6 years, 2 months ago

You shall get a BIG ROUND $0$ xD. Just kidding.!

BTW you're talking about the integral question, right?

Samarpit Swain - 6 years, 2 months ago

I'm sorry. I had to write a solution to Gambler's Luck. You can't believe the mess I got into after reposting it.The only part which I was not entirely convinced with was your reasoning. According to me, it should be what I have written. If you still wish to post your solution, please do go ahead.

User 123 - 6 years, 2 months ago

No need to be sorry:), I quite expected that.

Samarpit Swain - 6 years, 2 months ago

What are we doing for the India Open? I intend to go from tomorrow. You're in, toh?

User 123 - 6 years, 2 months ago

Achchaa call me oonce about tomorrow.

User 123 - 6 years, 2 months ago

Okay!

Samarpit Swain - 6 years, 2 months ago

Lol! Actually i am 16 right now, and Ishan's class mate! By mistake my account shows '17'. I'll be taking JEE in 2017:)

Samarpit Swain - 6 years, 2 months ago

Oh! My bad then .

A Former Brilliant Member - 6 years, 2 months ago

No probs bro!

Samarpit Swain - 6 years, 2 months ago

He's a couple of months younger to me. It's interesting how he became 'older' than me!

User 123 - 6 years, 2 months ago

@User 123 – Do you guys mind sharing your B'days with me ?

Mine's on 20th October .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – 9.1.1999!

Samarpit Swain - 6 years, 2 months ago

@Samarpit Swain – For once I thought that your B'day was a palindrome , guess I was wrong .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – 4th November '98. Swain Sir's is the 9th of January.

User 123 - 6 years, 2 months ago

@User 123 – Looks like I can't get enough of B'ant ! I am going to be online for a few more minutes !

Cool ! Even my sister has her B'day on that same date , just that she's a year younger than you guys .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – Is she also on Brilliant?

User 123 - 6 years, 2 months ago

@User 123 – No .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – So you'll be celebrating your next birthday in IIT Bomnay?:)

Samarpit Swain - 6 years, 2 months ago

@Samarpit Swain – If all goes well , then yes . But any of IITM , IITB , IITD , IITK or IITKGP will do . That IITB thing on my stauts was only coz there are friends of mine in IITB , so it's only natural I'll want to go there .

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – Which branch would you choose in college ?

Samarpit Swain - 6 years, 2 months ago

@Samarpit Swain – CS

A Former Brilliant Member - 6 years, 2 months ago

@A Former Brilliant Member – My only objective is to stay here at home...

User 123 - 6 years, 2 months ago

@User 123 – Any special reason other than your love for your parents ? :)

A Former Brilliant Member - 6 years, 2 months ago

No, it had actually come down to 140 from 330 or so, but then it rose again. Wait with patience; after some time, it will rise again. I know you're very disappointed; even I was when this had happened to my question. Keep your fingers crossed; it might rise when Sir sees your comment.

User 123 - 6 years, 2 months ago

Arre, i'm not at all dissapointed:) But what i noticed is that some of my latex coding have been modified. Therefore, it must have been done by some moderator.

Samarpit Swain - 6 years, 2 months ago

can u create a new set for jee advanced also

Shubham Patil - 6 years, 1 month ago

Sure, I will be working on it soon.

Samarpit Swain - 6 years, 1 month ago

@Samarpit Swain Nice question! Completely stumped as of now, don't know how to approach it..Aachchaa, Swain Sir, are you sure it is $(8y-4y^2-3)$ in the second equation? The signs do not seem to match with those of the other two equations. Lastly, just make it a bit neater (I was going to edit it, but then I thought you should be the one to decide). For example, remove the \textbf, and put the three equations using just the backslash and square brackets around each of them. PS. Could you reshare those two questions of mine one last time? The points have come down quite a bit.

User 123 - 6 years, 1 month ago

Done! Secondly, the equations are not completely symmetric, hence the difference. I tried to make it symmetric but it was giving faulty results.

Samarpit Swain - 6 years, 1 month ago

Thanks a lot! Aah, OK then. By the way, was just thinking about Djokovic and the other boy. Think they were the only good thing about that quiz...

User 123 - 6 years, 1 month ago

@User 123 – Actually, after our disastrous blunder....

Samarpit Swain - 6 years, 1 month ago

Aachchaa Swain Sir, I had to re-post the problem. It's the same, so just plug in the answer.

User 123 - 6 years ago

Yeah thanks! I have done it.

Samarpit Swain - 6 years ago

-_-

I think you must be called the "Re-poster" . You repost almost all of your questions :P

A Former Brilliant Member - 6 years ago

Really good question:) At first, I split it up into 3 series without checking for their convergence(and all 3 turned out to be divergent!). Finally had to use the Dominated Convergence Theorem and the Monotone Convergence Theorem. What about you?

User 123 - 5 years, 11 months ago

great.....some questions are really difficult

varnika chaturvedi - 5 years, 11 months ago

Just one like.

Nishchay Selot - 5 years, 9 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}`	$\boxed{123}$