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# 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
2 years, 7 months ago

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Just one like.

- 2 years, 1 month ago

great.....some questions are really difficult

- 2 years, 3 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?

- 2 years, 4 months ago

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

- 2 years, 4 months ago

-_-

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

- 2 years, 4 months ago

Comment deleted Apr 04, 2016

Haha , I'm not "back" . I had come online to help out some friends with questions . Primarily , my reason for not coming back is , ok I'll show it to you :

- 2 years, 4 months ago

@Anuj Shikarkhane

I think I might be able to beat your record of 1500 if I don't come on B'ant the next week ;)

- 2 years, 4 months ago

Ya...you are quite close

- 2 years, 4 months ago

Wow! That's a gigantic number of Notifications (can't see it clearly)!

- 2 years, 4 months ago

It's 963 btw .

- 2 years, 4 months ago

You're just a day away from a millennium!

- 2 years, 4 months ago

Haha , it'll surely cross 1000 today , unless of course Calvin sir clears out my notification as a prank ;)

- 2 years, 4 months ago

LOL!!!

- 2 years, 4 months ago

Yeah thanks! I have done it.

- 2 years, 4 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.

- 2 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.

- 2 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...

- 2 years, 5 months ago

Actually, after our disastrous blunder....

- 2 years, 5 months ago

can u create a new set for jee advanced also

- 2 years, 6 months ago

Sure, I will be working on it soon.

- 2 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.

- 2 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.

- 2 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:)

- 2 years, 6 months ago

- 2 years, 6 months ago

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

- 2 years, 6 months ago

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

Mine's on 20th October .

- 2 years, 6 months ago

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

- 2 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 .

- 2 years, 6 months ago

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

- 2 years, 6 months ago

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

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

Did you add that second part of your comment later on ?

I didn't know why you wanted to stay at home , but I just now (men's intuition lol!) that a girl likes her parents a lot , so it was just a natural guess that I made .

- 2 years, 6 months ago

No, to my knowledge, it was always there. Ok...

- 2 years, 6 months ago

Oops! Sorry , I had forgotten .

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

Are you a very kept in person ? You don't seem to be one , but I thought I should ask since you haven't posted anything about you on your profile page .

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

OK ,just add something . After all , people might want to know about you right ? Posting Level 5 questions continuously , you really are something :)

- 2 years, 6 months ago

Yes, from your comment, it's clear that April's Fool Day is just next door! I really can't think of something now. I'll try in the morning... Though strictly speaking, it is already morning.

- 2 years, 6 months ago

Yeah , Good Morning !

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

Btw , you seem to be quite active at around 4:30 - 5:30 am . Right about when Calvin sir and Peter sir are active too . So when did you notice their activity ?

- 2 years, 6 months ago

I never noticed Peter Sir's activity. I know Calvin Sir reshares problems at this time, so I just sit and wait...

- 2 years, 6 months ago

Wait ? Really ?

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

Actually he's the one responsible for stuff related to B^2 .

- 2 years, 6 months ago

OK...

- 2 years, 6 months ago

Hmm , don't know . I don't think I'll be sleeping today , I slept a lot yesterday . So for the next few hours , it's going to be just me and my Physics books . And yeah ofc , some occasional Brillianting !

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

You know , sometimes you should look up my activity . Take today for example , in the afternoon around 1 pm , I was replying to a comment by Chew Seong Cheong sir and then just as I was closing up , Deepanshu commented on his question , then I had to tease Nihar , then Rajdeep posted his OPC 3 , I disputed one of Skanda Prasad's questions , then I chatted with Omkar , then I chatted with you and your bestie !

You know I think that I am the worlds best Time Waster . Replying to comments and all just devour up my available time , but I just can't refrain from doing so due to obvious reasons .

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

Nope. Not at all . Actually I was just replying to some mails and I do this hopping from here and there ..

You can pretty much guess how it goes on .

Just send me a mail so that I could get yours , that is if you want to share it with me .

- 2 years, 6 months ago

Maintain all my communication through the account I used...

- 2 years, 6 months ago

Are you telling me or are you asking me ?

- 2 years, 6 months ago

Telling you that I use it for the mentioned purpose. Sorry, I'm very tired and omitted the rest of the sentence. Off to Dreamland now. Good night/ morning/ whatever the proper greeting would be.

- 2 years, 6 months ago

I know that you find sleep boring but if you are tired , shouldn't you go to sleep ?

What r u doing btw ? Playing games ?

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

The one that's mentioned in this note ? The one which had faced this transition from levl 5 to 3 ?

- 2 years, 6 months ago

Yeah. I used to tease him by calling him Swain Sir. And now it's just become a habit...

- 2 years, 6 months ago

Ok , does he call you ma'am ?

- 2 years, 6 months ago

Comment deleted Apr 04, 2016

Are any of your classmates here on B;ant ? other than Samarpit

- 2 years, 6 months ago

Samarpit's computer will probably hang again tomorrow. Let's shift further conversations to Feedback...

- 2 years, 6 months ago

But what difference will it make , since he has subscribed to that note too right ? But no prob :)

- 2 years, 6 months ago

I don't remember if he has...

- 2 years, 6 months ago

Ok , comment in your note .

- 2 years, 6 months ago

Forgotten that you mentioned about being lazy ! It's just that I get this statement from a lot of guys like Pranjal , Pratik , Kartik and more , so I forgotten who had said what .And as such , currently my mind is stuffed with Inorganic Chem , so Idk it's trustworthy :P

- 2 years, 6 months ago

How much time do you take (or prefer taking) for longer chapters? Also, can you suggest some topics that i should do myself, before it is taught anywhere else?

- 2 years, 6 months ago

Well , as for Maths , I suggest do everything out first so you can understand it whenever it's being taught to you .

For Physics , I really can't give you any advice since I myself have started revising it just 2 days ago and I had never paid any attention to it when it was taught . Try reading Resnick Halliday or Feynman Lectures if you find NCERT boring (yes I find it so , so I refer those 2 sources)

Chem's a great subject . Just make sure that you have read all the Inorganic Chapters once before you are actually taught , so that you will be able to comprehend it quicker that way .



#### These are my methods , I don't recommend it to you . I am just mentioning it to you . Use it at your own risk , and I am not to be blamed for it :P

- 2 years, 6 months ago

Thanks a ton!

- 2 years, 6 months ago

Yeah P block is damn long!

- 2 years, 6 months ago

Have you looked at P-Block of Class XII ?

- 2 years, 6 months ago

Yeah

- 2 years, 6 months ago

Which branch would you choose in college ?

- 2 years, 6 months ago

CS

- 2 years, 6 months ago

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

- 2 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 .

- 2 years, 6 months ago

Is she also on Brilliant?

- 2 years, 6 months ago

No .

- 2 years, 6 months ago

9.1.1999!

- 2 years, 6 months ago

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

- 2 years, 6 months ago

No probs bro!

- 2 years, 6 months ago

Achchaa call me oonce about tomorrow.

- 2 years, 6 months ago

Okay!

- 2 years, 6 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.

- 2 years, 7 months ago

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

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

There is no need of repeating the same process(of deleting the question) again. Trouble? I think it was fun! But still, i don't care about a solution you wanted to write eventually

- 2 years, 7 months ago

You're annoyed, aren't you?

- 2 years, 7 months ago

Me...Annoyed? Never:). I think it's you who is annoyed, staying up so late to write so many solutions.

- 2 years, 7 months ago

Yeah, that did annoy me a lot. I had to reply till 6! Somethings about why the best strategy would be what I wrote and so on... Also it was unfair since you have the first right to post the solution as you had taken the effort to write it yesterday. Aachchaa, I'll try my luck at the India Open today at 3:30. Do you want to come?

- 2 years, 7 months ago

I don't think so, bit engrossed in the match!

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

i'm officially in class 11, it's not possible this time.

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

I'll try, but i'm not sure...

- 2 years, 7 months ago

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

- 2 years, 7 months ago

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!

- 2 years, 7 months ago

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

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

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

Oh ok..

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

I've posted a new problem, try it, and plz suggest a good title!

- 2 years, 7 months ago

OK, just give me a while please. And would you mind if I wrote the solution? I'll edit the title. Have to go outside for 3 hours. I'll come back and do it.

- 2 years, 7 months ago

no obviously not!

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

Type it down here only, since my phone is switched off.

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

But i've mentioned that the particle P is sliding down the surface at t=0 at point A, this makes it clear that the particle was not at rest prior to its motion in the hemisphere.

- 2 years, 7 months ago

But if you consider the particle at right at the edge of hemisphere, it has no vertical component of velocity. Thus, it has to move at projectile motion and later bounce onto the hemisphere's inner circumference.

- 2 years, 7 months ago

Also, the velocity is directed towards the surface, and only the horizontal component of velocity(at t=0) is equal to that of P. It gives a hint for the second part of the question, doesn't it?

- 2 years, 7 months ago

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

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

I know , but Fin is used in some places too . I have seen it in some movies . Btw , a la fin shouldn't be used .

Looks like you didn't go to sleep :P

- 2 years, 7 months ago

Comment deleted Apr 04, 2016

Oh , ok . So what were you doing ?

- 2 years, 7 months ago

Calculus.

- 2 years, 7 months ago