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Hello! I gave my NSEC 0n 24th Nov. I m getting around 170 out of 240. i mfrom WB. Do i have a chance of getting selected for INcho.....???? ...
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1) ∫√secx ...
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1) Find the last 3 digits of 9999... ...
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Please visit this link:: http://www.artofproblemsolving.com/Forum/search.php ...
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Find the minimum Value of cot1 x cot2 x cot3 x ...... cot44. ...
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Given: f(x) =ax2+bx+c g(x)= px2+qx+r such that f(1)=g(1), f(2)=g(2) and f(3)-g(3) = 2 . Find f(4)-g(4). The q is easy but i want a shorter method... ...
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What are the products formed when 1-2 dimethylbenzene reacts with O3 in presence of CH3Cl and Zn dust??? ...
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If the roots of the equation : x4-8x3+bx2 + cx +16= 0 are positive then the root of the equation 2bx +c =0 is ???? ...
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1) tan3x +cos (2.5x) 2) cos(cosx) + cos(sinx) ...
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1) 2 players A and B play a series of 2n games. Each game can result in either a win or a loss for A. Find the total no. of ways in which A can win the series of these games. (All the games are to be played) Ans: 22n-1 - 1/2. ...
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Find nc0 + nc3 + nc6 + nc9.....................nterms ...
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GIVEN: The Largest number of ways in which 6 persons each throwing a single dice once make a sum of 17 is n. Then find [n/1000] where [.] is the Greatest integer function.. ...
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In triangle ABC if cotA =(x3+x3+x)1/2 , cotB = (x+x-1+1)1/2 and cotC=(x-3+x-2+x-1)1/2 then find the magnitude of angle C. ...
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*Image* Which of the following isomeric hydrocarbons is most acidic? ...
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1) 2 nos. x and y are chosen at random(without replacement) from amongst 1,2,3,...3n.Find the probability that x3+y3 is divisible by 3. ...
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1) 7 digits from the nos.1,2,3,...9. are written in a random order. Find the probability that this 7 digit no. is divisible by 9. ...
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Find the sum of n terms: 1+2(1-a) +3(1-a)(1-2a)..........k(1-a)(1-2a)...{1-(k-1)a} ...
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1) Find the remainder when (103+93)752 is divided by (12)3. ...
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202 x 20002 x 200000002 x 20000...(13 zeroes)...2x 2... (31 zeroes)...2. Find the sum of the digits of the product thus formed. ...
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The 4th power of the common difference of an A.P. with integer entries is added to the product of any 4 consecutive terms of it. Prove that the resulting sum is the square of an integer. ...
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1) The length of the bases of a triangle are of integral length. If the length of the two of the 3 alititudes are 4 and 12 cm respectively then find the length of the 3rd one. a) 4 b) 5 c) 6 d) 7 ...
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The eq x3+ax2y+bxy2+y3 represents 3 straight lines. if 2 of them r perpendicular then find the eqn of the 3rd line.. ...
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Find the no. of real solutions of 2x4+1402-y4 =0 ...
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There is a rectangle with m vertical lines and n horizontal lines (taking the edges too). Find the no.of ways in which a pencil can travel from the North-West to the South-East corner going through the shortest possible dista ...
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In how many ways can a dice be coloured with 6 different colours? Means all the 6 faces should have 6 different colours. there are no other conditions.. ...
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There r exactly 2 points on the ellipse x2/a2 =+ y2/b2 =1.whose distance from the centre of the ellipse is same and equal to (1/√2 ) x (√(a2+2b2). Find the eccentricity of the elipse. ...
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An elipse of major axis 20√3 and minor axis 20 slides along the co-ordinate axes and always remains confined in the 1st quadrant. The locus of the centre of the ellipse describes the arc of a circle. Find the length of this ...
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1) From a point P , Tangents are drawn are drawn to the ellipse x2/a2 + y2/b2 =1. If the chord of contact touches the ellipse x2/c2 + y2/d2 =1 tHEN FIND THE LOCUS OF P. ...
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If a triangle is formed by any 3 tangents of the parabola y2= 4ax, two of whose vertices lie on the parabola x2=4by, then find the locus of the 3rd vertex. ...
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http://cheentaganitkendra.blogspot.in/2012/02/indian-national-math-olympiad-2012.html ...
