Practice questions
88551 published questions with worked solutions.
- Electricity is passed through an acidic solution of Cu^ 2+ till all the Cu^ 2+ was exhausted, leading to the deposition of 300 mg...
- Consider two Group IV metal ions X^ 2+ and Y^ 2+ . A solution containing 0.01 M X^ 2+ and 0.01 M Y^ 2+ is saturated with H_2S....
- The hydrogen spectrum consists of several spectral lines in Lyman series (L_1, L_2, L_3 ; L_1 has lowest energy among Lyman...
- X and Y are the number of electrons involved, respectively during the oxidation of I^- to I_2 and S^ 2- to S by acidified...
- Let the length of the latus rectum of an ellipse x^2 a^2 + y^2 b^2 =1, (a>b), be 30 . If its eccentricity is the maximum value of...
- Let _1, _2, _3, _4 be an A.P. of four terms such that each term of the A.P. and its common difference are integers. If _1+ _2+...
- ( 1 3 + 4 7 )+ ( 1 3^2 + 1 3 4 7 + 4^2 7^2 )+ ( 1 3^3 + 1 3^2 4 7 + 1 3 4^2 7^2 + 4^3 7^3 )+ upto infinite terms is equal to -
- Let P=[p_ ij ] and Q=[q_ ij ] be two square matrices of order 3 such that q_ ij = 2^ (i+j-1) p_ ij and (Q) = 2^ 10 . Then the...
- The letters of the word "UDAYPUR" are written in all possible ways with or without meaning and these words are arranged as in a...
- The largest value of n, for which 40^n divides 60!, is
- The sum of all values of , for which the shortest distance between the lines x+1 = y-2 -1 = z-4 - and x = y-1 2 = z-1 2 is 2 , is
- Let f( ) denote the area of the region in the first quadrant bounded by x=0, x=1, y^2=x and y = | x - 5|-|1- x|+ x^2. Then...
- If the domain of the function f(x) = ^ -1 ( 1 x^2-2x-2 ), is (- , ] [ , ] [ , ), then + + + is equal to
- Let X = x N : 1 x 19 and for some a,b R , Y = ax+b: x X . If the mean and variance of the elements of Y are 30 and 750,...
- Consider the following three statements for the function f: (0, ) R defined by f(x) = | _e x|-|x-1|: (I) f is differentiable for...
- Let y=y(x) be a differentiable function in the interval (0, ) such that y(1)=2. and _ t x ( t^2y(x)-x^2y(t) x-t ) = 3 for each...
- Let f be a function such that 3f(x)+2f ( m 19x )=5x, x 0, where m= _ i=1 ^ 9 (i)^2. Then f(5)-f(2) is equal to
- The smallest positive integral value of a, for which all the roots of x^4-ax^2+9=0 are real and distinct, is equal to
- Let a = 2 i -5 j +5 k and b = i - j +3 k . If c is a vector such that 2( a c )+3( b c )= 0 and ( a - b ) c =-97, then | c k |^2...
- Let (h,k) lie on the circle C: x^2+y^2=4 and the point (2h+1, 3k+2) lie on an ellipse with eccentricity e. Then the value of 5...