List of practice Questions

Which of the following on heating gives an ether as major product?
P : C$_6$H$_5$CH$_2$Br + CH$_3$ONa
Q : C$_6$H$_5$ONa + CH$_3$Br
R : (CH$_3$)$_3$C–Cl + CH$_3$ONa
S : C$_6$H$_5$CH = CHCl + CH$_3$ONa

The value of

\[\int e^{\sin x}\sin 2x\ dx\]

is

If

\[\int\frac{3x+1}{(x-1)(x-2)(x-3)}dx\]

\[= A \;log |x - 1| + B \;log |x - 2| + C\; log |x - 3| + C\]

, then the values of A, B and C are respectively.

The value of $\int\frac{1+x^4}{1+x^6}dx$ is

If the side of a cube is increased by 5%, then the surface area of a cube is increased by

The maximum value of $\frac{\log_ex}{x}$, if x > 0 is

Which of the following halide shows highest reactivity towards S_N1 reaction?

If the curves 2x = y² and 2xy = K intersect perpendicularly, then the value of K² is

Give the IUPAC name of $[Pt(NH_3)_4]$ $[PtCl_4]$ is

If y = 2xⁿ⁺¹ + $\frac{3}{x^n}$ then x²$\frac{d^2y}{dx^2}$ is

Find the number of stereoisomers exhibited by [Co(en)₂cl2]⁺ is

If (xe)^y = e^x, then $\frac{dy}{dx}$ is

If f(x) = sin^-1$(\frac{2x}{1+x^2})$, then f'$(\sqrt3)$ is

If 2^x + 2^y = 2^x+y, then $\frac{dy}{dx}$ is

$Cu_2Cl_2$ and $CuCl_2$ in aqueous medium

The right hand and left hand limit of the function
f(x) = $\left\{ \begin{aligned} & \frac{e^{1/x}-1}{e^{1/x}+1}\ \ ,\ \ \text{if x}\ne0 \\ & \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ ,\ \ \text{if x = 0} \end{aligned} \right.$ are respectively

The co-ordination number of Fe and Co in the complex ions, [F_e(C₂O₄)3]^3- and [Co(SCN)₄]^2- are respectively

How many moles of acidified K₂ Cr₂O₇ is required to liberate 6 moles of I₂ from an aqueous solution of I⁻ ?

If A is a square matrix of order 3 and |A| = 5, then |A adj.A| is

If a₁a₂a₃ …….. a₉ are in A.P. then the value of $\begin{vmatrix} a_1 & a_2 & a_3 \\ a_4 & a_5 & a_6 \\ a_7 & a_8 & a_9 \\ \end{vmatrix}$ is