Popular Question Of The Day Questions

This is the biggest question n organic till date in the forum... Enjoy!! [3] *Image* Edit: ( after AgNH3 and H+) after S ... 1 eq of red P HI is added ...

Which of these is greatest .9 (0.9999999999999999999................) 1.01 (1.00000000000000.................0001) 1 ?? ...

It is given that a polynomial with rational coefficients has n real roots. One of them is 1+ 5 Prove that 1- 5 is another root! Please realise that the implication of this are very huge and very very important in guessing sec ...

This one is a question someone asked me a few days back.. I guess it is from a ISI paper... (I may be wrong!) There is a matrix which is NxN Each element is filled with either 1 or -1 with an equal probability. What is the pr ...

|y|= |sin x| Plot the graph and also find the area in the region (0, 2 π) *Backlog clearing question of the day! ...

This is another good one about complex numbers. I am not trying to get a solution. I am sure many of you can. I got this question from a user(Integrations) here. (I modified that one slightly!) I want to stress the importance ...

What was the last time I gave a maths question? An easy one.. sort of! f(x)=[x] g(x) = f -1 (x) Find the solution for f(x)=g(x) ...

I think there is a lot of confusion on limits due to a post on forum let us do the following problems... Find the following \\1) \lim_{x\rightarrow 1} (x^{n}) \\ \\2) \lim_{x\rightarrow 1^+} (x^{n}) \\ \\3) \lim_{x\rightarrow ...

Explain Searle's Method in detail I am pretty sure that a Question on this one is possible! ...

This is a old trick question.. (not brillaint if u try to solve it first hand...) what is the number of solutions of x2+4x+1 = x+3 -2 ...

Not the kind of convergence that appears in undergrad courses. So please dont be scared away. In fact if you apply your mind to this one, you may be rewarded. For every integer n \ge 0 , let S(n) = n - m^2 where m is the grea ...

This is a googley from resnick and halliday.. Those who can will do it in a flash otherwise keep thinking for the whole day and you wont get it ;) Find the maximum heap (Height) that sand can make in a circle of radius of R. ...

what is the probability that the product of two randomly chosen integers is divisible by 12? ...

Show that for any number n, there are consecutive n composites that exist... This is not an olympiad question.... It is very much from the JEE syllabus.. Just that you have to think a bit.. (hint think of n!) ...

PHEW.... finally here..... f(0)=N g(0)=0 g(n+1)=2{f(n)/2+g(n)/2} (fractional part) f(n+1) = [f(n)/2+g(n)/2] (greatest integer..) where n is integer find f(1)+f(2)+f(3)...... infinity... N is an integer :) ...

What is 00 Warning: Either dont get confused after seeing the solution or dont see the solution at all....... This might be really dangerous for your limits concept! ...

What is the number of ways to tile a 9x3 floor using 3x1 tiles ? (This requires recursion) I am explaining the question a bit more elaborately with some examples.. because you may not have understood tiling... :) The example ...

*Image* Find the center of mass. (this question is taken(as is) from a book meriam kraige which all these fiitjee and other ppl use to LIFT their quesitons from) Do not read this book. I will make sure you guys get all the qu ...

Find the area under the graph [y]=sin[x] for x ε [-100,100] ...

This is very very Interesting question and will make you think! (Hopefully) Even if you dont get the complete solution.. do post the partial ones.... An are sets for all n's (integers!) The property they follow is that th ...

Find the minimum velocity required to send the ball to the top of this infinite structure.... Keep in mind: The successive radius are half of the original ones..... there are infintely many such. The lowest loop has radius R, ...

Let x be a real number, and let e > 0. Then there exist integers p and q > 0 such that |x-p/q| < e This might seem obvious! but try to prove this.. It is not very difficult either. ...

*Image* m1=m m2=m M =4m *Edit: system was initially released from rest. All surfaces frictionless! Find the acceleration of all the three blocks and the direction of acceleration.. More interested to see the relations between ...

ex=x2+1 Solve this one rigorously. I dont want any short cuts or half attempts. Ideally this could fit into Graph of the day section.. But I thought that this is not a bad place either. ...

The other day we solved to find the no. of ways in wich a given no. can be expressed as a product of two nos!!! I wanted to know if v can hav such a generalization for expressing a no. as product of 3integers Note** It may be ...

Solve with prooof..... (Not tough again!) highest power of 3 in 100! ...

To be fair, this question is not relevant to the Syllabus of IIT JEE. It is definitely in the syllabus but it shows how things can go wrong! I will try to show that there are 3 different probabilities attached to finding the ...

*Image* RR' is a road on which Powerplant P has to be constructed. There are two villages A & B on same side of the road. Find the optimum location of poweplant P such that wiring cost i.e. PA+PB is minimum. Note: You sho ...

Take a (one-dimensional !) rod of length \ell and remove the middle one-third. Then remove the middle one-third of the remaining two pieces, then remove the middle one-third of the remaining four pieces, and so on forever. Le ...

Suppose that there is a bird inside a Large Box. The mass of the bird is m. The mass of the block without the bird is M What is the reading on a spring balance when 1) The bird is on the floor of the block 2) The bird is flyi ...