List of top Questions asked in KCET

Consider the following statements :
Statement 1 : If y = log₁₀x + log_ex then \(\frac{dy}{dx}=\frac{\log_{10}e}{x}+\frac{1}{x}\)
Statement 2 : \(\frac{d}{dx}(\log_{10}x)=\frac{\log x}{\log 10}\ \text{and}\ \frac{d}{dx}(\log_ex)=\frac{\log x}{\log e}\)

A colourless, neutral, paramagnetic oxide of Nitrogen ‘P’ on oxidation gives reddish brown gas Q. Q on cooling gives colourless gas R. R on reaction with P gives blue solid S. Identify P, Q, R, S respectively

XeF₆ on partial hydrolysis gives a compound X, which has square pyramidal geometry ‘X’ is

The correct order of boiling point in the following compounds is

Which of the following property is true for the given sequence NH₃ > PH₃ > AsH₃ > SbH₃ > BiH₃ ?

Which of the following compound on heating gives N₂O ?

For constant a, \(\frac{d}{dx}\)(x^x + x^a+ a^x + a^a) is

If y = (cosx²)², then \(\frac{dy}{dx}\) is equal to

At x = 1, the function f(x) = \(\left\{ \begin{aligned}     & x^3-1\ \ \ \ \ \ 1<x<\infin \\     & x-1\ \ \ \ \ -\infin<x≤1 \\      \end{aligned} \right.\) is

If x³ - 2x² - 9x + 18 = 0 and A = \(\begin{vmatrix}     1 & 2 & 3 \\     4 & x & 6 \\     7 & 8 & 9 \\ \end{vmatrix}\) then the maximum value of A is

If f(x) = \(\begin{vmatrix}     cosx & 1 & 0 \\     0 & 2cosx & 3 \\     0 & 1 & 2cosx \\ \end{vmatrix}\) then \(\lim\limits_{x\rightarrow\pi} f(x)=\)

If A and B are invertible matrices then which of the following is not correct ?

Zeta potential is

If A and B are matrices of order 3 and |A| = 5, |B| = 3 then |3AB| is

Which of the following is an incorrect statement ?

A colloidal solution is subjected to an electric field than colloidal particles more towards anode. The amount of electrolytes of BaCl₂, AlCl₃ and NaCl required to coagulate the given colloid is in the order

Let M be 2 × 2 symmetric matrix with integer entries, then M is invertible if

Arrange benzene, n-hexane and ethyne in decreasing order of their acidic behaviour

If \(A=\begin{bmatrix}     1 & -2 & 1 \\     2 & 1 & 3 \\ \end{bmatrix}\ B=\begin{bmatrix}     2 & 1 \\     3 & 2 \\     1 & 1 \\ \end{bmatrix}\) then (AB)' is equal to

Higher order (>3) reactions are rare due to

The correct IUPAC name of

The rate of a gaseous reaction is given by the expression k[A][B]². If the volume of vessel is reduced to one half of the initial volume, the reaction rate as compared to original rate is

If the rate constant for a first order reaction is k, the time(t) required for the completion of 99% of the reaction is given by

The third ionisation enthalpy is highest in

For a reaction A + 2B → Products, when concentration of B alone is increased half life remains the same. If concentration of A alone is doubled, rate remains the same. The unit of rate constant for the reaction is