KCET 2025

\(\text { Match List-I with List-II }\)






List-I (Types of redox reactions)

List-II (Examples)





a. Combination reaction

i.





Cl





2

(





g



)



...

In the reaction between hydrogen sulphide and acidified permanganate solution,

In the titration of potassium permanganate $\left(\mathrm{KMnO}_4\right)$ against Ferrous ammonium sulphate $(\mathrm{FAS})$ solution, dilute sulphuric acid but not nitric acid is used to maintain acidic medium, because

The group reagent $\mathrm{NH}_4 \mathrm{Cl}(\mathrm{s})$ and aqueous $\mathrm{NH}_3$ will precipitate which of the following ion?

The sodium fusion extract is boiled with concentrated nitric acid while testing for halogens. By doing so, it

Which of the following methods of expressing concentration are unitless?

Select the INCORRECT statement/s from the following:
(a) 22 books have infinite significant figures
(b) In the answer of calculation $2.5 \times 1.25$ has four significant figures,.
(c) Zero's preceding to first non-zero digit are significa...

Given below are two statements.
Statement-I : Adiabatic work done is positive when work is done on the system and internal energy of the system increases.
Statement - II : No work is done during free expansion of an ideal gas.
In the light ...

Which one of the following reactions has $\Delta \mathrm{H}=\Delta \mathrm{U}$ ?

Identify the incorrect statements among the following:
(a) All enthalpies of fusion are positive
(b) The magnitude of enthalpy change does not depend on the strength of the intermolecular interactions in the substance undergoing phase trans...

The function $f(x)=\tan x-x$

The area bounded by the curve $y=\sin \left(\frac{x}{3}\right)$, $x$ axis, the lines $x=0$ and $x=3 \pi$ is

The area of the region bounded by the curve $y=x^2$ and the line $y=16$ is

If the number of terms in the binomial expansion of $(2 \mathrm{x}+3)^{3 \mathrm{n}}$ is 22 , then the value of n is

If $Z_1$ and $Z_2$ are two non-zero complex numbers, then which of the following is not true?

The value of $\int_{-1}^1 \sin ^5 \mathrm{x} \cos ^4 \mathrm{xdx}$ is

\(\text { The value of } \int_0^{2 \pi} \sqrt{1+\sin \left(\frac{x}{2}\right)} d x \text { is }\)

$\int_0^1 \log \left(\frac{1}{x}-1\right) d x$ is

General solution of the differential equation $\frac{d y}{d x}+y \tan x=\sec x$ is

If ' $a$ ' and ' $b$ ' are the order and degree respectively of the differentiable equation. $\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+x^4=0$, then $a-b=$ $\qquad$

If $y=\frac{\cos x}{1+\sin x}$, then
(a) $\frac{d y}{d x}=\frac{-1}{1+\sin x}$
(b) $\frac{d y}{d x}=\frac{1}{1+\sin x}$
(c) $\frac{\mathrm{dy}}{\mathrm{dx}}=-\frac{1}{2} \sec ^2\left(\frac{\pi}{4}-\frac{\mathrm{x}}{2}\right)$
(d) $\frac{\ma...

If $\mathrm{y}=\mathrm{a} \sin ^3 \mathrm{t}, \mathrm{x}=\mathrm{a} \cos ^3 \mathrm{t}$, then $\frac{\mathrm{dy}}{\mathrm{dx}}$ at $\mathrm{t}=\frac{3 \pi}{4}$ is

The derivative of $\sin \mathrm{x}$ with respect to $\log \mathrm{x}$ is

The length of the latus rectum of $x^2+3 y^2=12$ is

Domain of the function $f$, given by $f(x)=\frac{1}{\sqrt{(x-2)(x-5)}}$ is

If $f(x)=\sin \left[\pi^2\right] x-\sin \left[-\pi^2\right] x$, where $[x]=$ greatest integer $\leq x$, then which of the following is not true?

Let the functions " f " and " g " be $\mathrm{f}:\left[0, \frac{\pi}{2}\right] \rightarrow \mathrm{R}$ given by $\mathrm{f}(\mathrm{x})=\sin \mathrm{x}$ and $\mathrm{g}:\left[0, \frac{\pi}{2}\right] \rightarrow \mathrm{R}$ given by $g(x)=\c...

The value of $\int \frac{\mathrm{dx}}{(\mathrm{x}+1)(\mathrm{x}+2)}$ is

$\int \frac{\mathrm{dx}}{\mathrm{x}^2\left(\mathrm{x}^4+1\right)^{3 / 4}}$ equals

\(\sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)=\)

$2 \cos ^{-1} x=\sin ^{-1}\left(2 x \sqrt{1-x^2}\right)$ is valid for all values of ' $x$ ' satisfying

$\lim _{x \rightarrow 1} \frac{x^4-\sqrt{x}}{\sqrt{x}-1}$ is

The function $f(x)=\left\{\begin{array}{ll}e^x+a x & , x<0 \\ b(x-1)^2 & , x \geq 0\end{array}\right.$ is differentiable at $x=0$. Then

$$ \text { A function } f(x)=\left\{\begin{array}{cl} \frac{e^{\frac{1}{x}}-1}{e^{\frac{1}{x}}+1}, & \text { if } x \neq 0 \\ 0, & \text { if } x=0 \end{array}\right. $$

Match the following:
In the following, $[\mathrm{x}]$ denotes the greatest integer less than or equal to x .



Column - I
Column - II


(a)


x


|


x

|


x


|


x

|
x|x|
(i)
continuo...

Consider the following statements:
Statement (I): In a LPP, the objective function is always linear.
Statement (II): Ina LPP, the linear inequalities on variables are called constraints. Which of the following is correct?

The maximum value of $\mathrm{z}=3 \mathrm{x}+4 \mathrm{y}$, subject to the constraints $\mathrm{x}+\mathrm{y} \leq 40, \mathrm{x}+2 \mathrm{y} \leq 60$ and $\mathrm{x}, \mathrm{y} \geq 0$ is

If $A$ is a square matrix such that $A^2=A$, then $(I-A)^3$ is

If $A$ and $B$ are two matrices such that $A B$ is an identity matrix and the order of matrix $B$ is $3 \times 4$, then the order of matrix $A$ is

Which of the following statements is not correct?

If a matrix $A=\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$ satisfies $A^6=k A^{\prime}$, then the value of $k$ is

If $A=\left[\begin{array}{ll}k & 2 \\ 2 & k\end{array}\right]$ and $\left|A^3\right|=125$, then the value of $k$ is

If $A$ is a square matrix satisfying the equation $A^2-5 A+7 I=0$, where $I$ is the $I$ dentity matrix and 0 is null matrix of same order, then $A^{-1}=$

If $A$ is a square matrix of order $3 \times 3, \operatorname{det} A=3$, then the value of $\operatorname{det}\left(3 A^{-1}\right)$ is

If $B=\left[\begin{array}{ll}1 & 3 \\ 1 & \alpha\end{array}\right]$ be the adjoint of a matrix $A$ and $|A|=2$, then the value of $\alpha$ is

The number of four digit even number that can be formed using the digits $0,1,2$ and 3 without repetition is

\(\text { The number of diagonals that can be drawn in an octagon is }\)

A random experiment has five outcomes $\mathrm{w}_1, \mathrm{w}_2, \mathrm{w}_3, \mathrm{w}_4$ and $\mathrm{w}_5$. The probabilities of the occurrence of the outcomes $w_1, w_2, w_3, w_4$ and $w_5$ are respectively $\frac{1}{6}, a, b$ and $...

A die has two face each with number ' 1 ', three faces each with number ' 2 ' and one face with number ' 3 '. If the die is rolled once, then $\mathrm{P}(1$ or 3$)$ is

Consider the following statements.
Statement (I): If E and F are two independent events, then $E^{\prime}$ and $F^{\prime}$ are also independent.
Statement (II): Two mutually exclusive events with non-zero probabilities of occurrence cannot...