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West bengal RMO results are out http://www.isical.ac.in/~rmo/RMO2011Results.pdfhttp://www.isical.ac.in/~rmo/RMO2011Results.pdf ...
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Does kx depend on both temp. and pressure. (Here x denotes mole fraction) ...
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http://www.iapt.org.in/index.php?option=com_content&task=view&id=27&Itemid=53 see the official solutions ...
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*Image* The figure shows a block in the influence of a force 500N. Friction working is 100N. The net force causes a displacement of 3m of the body.Find the work done against friction. ...
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Find all functions p:\mathbb{Z}\Rightarrow\mathbb{Z} such that p(x^2+1)=p(x)^2+1 . ...
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\lfloor\dfrac{r+19}{100}\rfloor+\lfloor\dfrac{r+20}{100}\rfloor+....+\lfloor\dfrac{r+91}{100}\rfloor=546 Find \lfloor r \rfloor ...
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You have bought n chocolates from a shop. Now the shopkeeper offers that if you return the wrappers, then for every 3 wrappers, he will give you 1 more chocolate. And you can continue this exchange offer until you run out of ...
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A natural number is called "nice" if it is the product of its distinct proper divisors. Find the sum of first 10 nice numbers. ...
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*Image* Let a ΔABC with <BAC=60°. Bisectors of angles <ABC and <ACB be BE and CF respectively. Let BE and CF intersect at I(Incentre). So, we get <BIC=90°+1/2(<BAC) =120° So, <BIC=2<BAC. Therefore I i ...
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The no. of ways of selecting n things out of 3n things of which n are of one kind and alike and n are of 2nd kind and rest are unlike is: ...
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Find \int x^xdx ...
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A hammer weighing 2.5 kg is moving with a speed of 1m/s strikes the head of the nail driving it 10 cm into the wall. The acceleration during impact and the impulse imparted to the wall will be respectively.......... ...
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This is a pdf about the experience at the IMO 2002. But, I have not written it. Its long but i hope some of you may like it. As I also liked it. go to the link http://www.scribd.com/doc/63719814 thank you. ...
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sin^3x+sin^2x+sinx=1 ...
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find the minimum of (sin2x+3sinxcosx+5cos2x) ...
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(From Brahmagupta, 7th century A.D.) A girl was carrying a basket of eggs, and a man driving a horse hit the basket and broke all the eggs. Wishing to pay for the damage, he asked the girl how many eggs there were. The girl s ...
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how can we prove gcd(n,n+1)=1 ...
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*Image* ...
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→ → → → when A * B (A cross product B)= |A||B|sinθn(unit vector) the direction of the unit vector is taken like this *Image* then my problem is,why the direction of the unit vector is not taken in this direction? *Im ...
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is 2.222...........= 10*(0.2222........) because 2.2222.... contains some infinite digits and 0.222.... contains another infinite digits also so, some infinite value = another infinite value ...
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*Image* *Image* ...
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is there a formula for finding out the no. of squares in a square??????? for example a chessboard.................... ...
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*Image* in this sum HA, EB, FC, GD bisects the angles DAB,ABC, BCA, CDA respectively. P.T. EFGH is a rectangle. I could prove it. But i cant prove Efgh will/won't be a square. ...
