Practice questions
88551 published questions with worked solutions.
- The number of chiral carbons present in sucrose is _________ .
- For a dimerization reaction, 2A(g) → A_2(g) at 298 K, U = – 20kJ mol ^ -1 , S = – 30J K ^ -1 mol ^ -1 , then the G will be...
- For a reaction; X + Y 2Z, 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react. At...
- The volume, in mL, of 0.02 M K_2Cr_2O_7 solution required to react with 0.288 g of ferrous oxalate in acidic medium is_______....
- Considering that _0>P, the magnetic moment (in BM) of [ Ru(H_2O)_6 ]^ 2+ would be________ .
- If the system of linear equations x+y+3z=0 x+3y+k^2z=0 3x+y+3z=0 has a non-zero solution (x, y, z) for some k ∈ R, then x+ ( y z...
- If and are the roots of the equation, 7x^2-3x-2=0, then the value of 1- ^2 + 1- ^2 is equal to :
- If the sum of the first 20 terms of the series (7^ 1/2 )x+ (7^ 1/3 )x+ (7^ 1/4 )x+ is 460, then x is equal to :
- _ x 0 x(e^ ( 1+x^2+x^4 -1)/x -1) 1+x^2+x^4 -1
- If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms...
- The derivative of ^ -1 ( 1+x^2 -1 x ) with respect to ^ -1 ( 2x 1-x^2 1-2x^2 ) at x = 1 2 is :
- The area (in sq. units) of the region A = (x, y) ; (x – 1) [x] ≤ y ≤ 2 x , 0 ≤ x ≤ 2 , where [t] denotes the greatest integer...
- If the length of the chord of the circle, x^2+y^2=r^2 (r > 0) along the line, y – 2x = 3 is r, then r^2 is equal to :
- If x = 1 is a critical point of the function f(x)=(3x^2+ax-2-a)e^x, then :
- If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the...
- If ,d 5+7 -2 ^2 =A _e|B( )|+C, where C is a constant of integration, then A can be :
- If the line y = mx + c is a common tangent to the hyperbola x^2 100 - y^2 64 =1 and the circle x^2+y^2=36, then which one of the...
- There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions,...
- If for some R, the lines L_1: x+1 2 = y-2 -1 = z-1 1 and L_2: x+2 = y+1 5- = z+1 1 are coplanar, then the line L_2 passes through...
- Let y = y(x) be the solution of the differential equation x dy dx +2y x= 2x, x (0, 2 ). If y( /3) = 0, then y( /4) is equal to :