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The remainder when ... .^5 x= .^. 5^5 (24 times 5 ) is divided by 24 is _______ . ...

*Image* consider the point P at a distance R/2 from centre. When we write angular momentum on the point, the expression is: Iω+mvcm(r/2) so when we substitute ω, do we make it equal to vcm/R or vcm/2R v/2R is considering th ...

Number of S-S bond in H2SnO6 is? ...

Let f : A-->B be an onto function where A={1,2,3,4} B = {x,y,z} also f(!) = x Let M be total such functions then find value of M/2 ...

Let f(x) = lim (n--->∞) cosx/[1+(tan-1x)n] Then the value of ∫[0--->∞] f(x)dx is equal to (A) cos(tan1) (B) sin(tan1) (C) tan(tan1) (D) None ...

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The number of pairs of (x,y) satisfying the equation sinx+siny=sin(x+y) and lxl+lyl=1 is ? ...

Q1 Which hydride ha no reaction with water a)NH3 b)CH4 c)PH3 d)NaH Q2 which one is highly flammable in nature a)NaBH4 b)LiAlH4 c)B2H6 d)CH4 Q3 which undergoes spontaneous combustion with exposure to air a)PH3 b)P2H4 c)N2H4 d) ...

First look this might seem an olympiad problem that may scare some of you... but try this problem to get an insight on how to solve such problems... x+y+z = w 1/x + 1/y + 1/z = 1/w Solve for x, y and z... (Not that you have t ...

√(1+1/12+1/22) + √(1+1/22+1/32) +....√(1+1/20072+1/20082) ...

These are few sums on probability from Chinese Olympiad.. 1. If a stick is broken in two at random,what is the average length of the smaller piece ?? 2. A railroad numbers its locomotives in order, 1,2,....N. One day you see ...

A sequence is defined as a1 = a2 = 1 and an = an-1 + an-2 for all n ≥ 3 then { an } is an increasing sequence TRUE / FALSE ...

If a,b,c be the three consecutive coefficients in the expansion of a power of (1+x), prove that the index of the power is 2ac + b(a+c)/b2 - ac ...

A point source S of light is emitting power P.A sphere of radius r is situated at distance R from source S (R>>>r),has mass M ans specific heat capacity C. Find the time in which temperature of sphere rises by θ°C ...

Can u experts upload a few full-length tests (IIT-JEE pattern) in pdf format here? I'd like to make them downloadable, bcoz taking online tests does not really give u the JEE-experience...... It'd be gr8 if u guys can manage ...

Kaysons is India’s first educational portal offering completely video-interactive- resources and video solutions for preparation of IIT-JEE and other engineering entrance exams. They provide video-interactive-learning sessi ...

let f(x) , x ε [0,∞) be a non negative continuous function. If f '(x) cosx ≤ f(x) sinx for all x≥0 then value of f(2π) is- a)0 b)1 c)Πd)none ...

Assume that impure copper contains only iron,silver and gold as impurities.after passsage of 140 amp, for 482.5 sec, the mass of the anode decreased by 22.260 grams and the cathode increased its mass by 22.011 grams.Estimate ...

P(x) be a polynomial of degree at the most 5 which leaves the reaminders -1 and 1 upon division by (x-1)3 and (x+1)3 1)....find the no of real roots of p(X)=0 2)....the max value of y=P''(x) can be obtained at x 3).....the su ...

An acidic solution of Cu2+ salt containing 0.4 g of Cu2+ is electrolyzed untill all copper is deposited. The electrolysis is continued seven more times with the colume of the solution kept at 100ml and the current at 1.2 amp. ...

Q1 which hydride doesnt react with water ? Q2a)NH3 b)PH3 c)B2H6 d)AsH3 Q2 what happens t oacidic strength when OH group is strongly attached to SiO2 derivatives ? Q3 Compare basicity :(SiH3)3N and (CH3)3N Q4 general forumula ...

A perfectly elastic ball is thrown from the foot of a plane inclined at an angle θ to the horizon . If after striking the plane at a distance ' l ' from the point of projection it rebounds and retraces its former path , find ...

if (1+2x+2x2)n=a0+a1x+a2x2+........a2n2n then prove that : ar=nC0.2nCr + nC1.2n-2Cr-2 +nC2.2n-4Cr-4+..................... ...

Which d-orbital participates in sp3d hybridisation ?? ...

TWO THIN LIGHT RODS AB(mass M,lenmgth L)AND CD(mass 2M,length 2L)ARE CONNECTED TO MAKE A T AS SHOWN IN FIGURE.THE ASSEMBLY IS KEPT VERTICAL ON A FRICTIONLESS HORIZONTAL SURFACE AND IS RESTRAINED TO FALL SIDEWISE .WHAT IS THE ...

183 + 73 + 3.18.7.25/36 + 6.243.2 + 15.81.4 + 20.27.8 + 15.9.16 + 6.3.32 + 64 Find the value of the expression. ...

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A point charge Q is placed at x=k on the x-axis, k>1. There's a conducting sphere at the origin, of radius 1 unit. Find the field at the origin due to induced charges. ...

Q.1) If 3 tan^-^1 [1/(2+\sqrt{3})] - tan^-^1(1/x) = tan^-^1(1/3) , then x equals : a) 1 b) 2 c)3 d) √3 here , [] doesn't mean greatest integer function. Q,2) How can polarisation of acrolein be expressed ? acrolein : CH2=CH ...

Statement 1 : Frictional forces are conservative forces. Statement 2 : Potential energy cannot be associated with fricionless forces. I'm not much sure with my ans........ ...