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.

Note by Samarpit Swain
4 years, 7 months ago

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.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 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"
MathAppears 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} $\boxed{123}$

Sort by:

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!

- 4 years, 7 months ago

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

- 4 years, 7 months ago

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

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

- 4 years, 7 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.

- 4 years, 6 months ago

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

- 4 years, 6 months ago

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

- 4 years, 6 months ago

Achchaa call me oonce about tomorrow.

- 4 years, 6 months ago

Okay!

- 4 years, 6 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:)

- 4 years, 6 months ago

- 4 years, 6 months ago

No probs bro!

- 4 years, 6 months ago

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

- 4 years, 6 months ago

Do you guys mind sharing your B'days with me ?

Mine's on 20th October .

- 4 years, 6 months ago

9.1.1999!

- 4 years, 6 months ago

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

- 4 years, 6 months ago

4th November '98. Swain Sir's is the 9th of January.

- 4 years, 6 months ago

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 .

- 4 years, 6 months ago

Is she also on Brilliant?

- 4 years, 6 months ago

No .

- 4 years, 6 months ago

So you'll be celebrating your next birthday in IIT Bomnay?:)

- 4 years, 6 months ago

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 .

- 4 years, 6 months ago

Which branch would you choose in college ?

- 4 years, 6 months ago

CS

- 4 years, 6 months ago

My only objective is to stay here at home...

- 4 years, 6 months ago

Any special reason other than your love for your parents ? :)

- 4 years, 6 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.

- 4 years, 6 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.

- 4 years, 6 months ago

can u create a new set for jee advanced also

- 4 years, 5 months ago

Sure, I will be working on it soon.

- 4 years, 5 months 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.

- 4 years, 5 months ago

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

- 4 years, 5 months 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...

- 4 years, 5 months ago

Actually, after our disastrous blunder....

- 4 years, 5 months ago

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

- 4 years, 4 months ago

Yeah thanks! I have done it.

- 4 years, 4 months ago

-_-

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

- 4 years, 4 months 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?

- 4 years, 3 months ago

great.....some questions are really difficult

- 4 years, 3 months ago

Just one like.

- 4 years, 1 month ago