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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

A function $f$ from the set of natural numbers to integers defined by

$$f(n)=\left\{\begin{array}{l} \frac{n-1}{2}, \quad \text { when } n \text { is odd } \\ -\frac{n}{2}, \quad \text { when } n \text { is even } \end{array} \quad\right. \text { is }$$

A function $f$ from the set of natural numbers to integers defined by

$$f(n)=\left\{\begin{array}{l} \frac{n-1}{2}, \quad \text { when } n \text { is odd } \\ -\frac{n}{2}, \quad \text { when } n \text { is even } \end{array} \quad\right. \text { is }$$
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The value of $\frac{\sin ^2 20^{\circ}+\cos ^4 20^{\circ}}{\sin ^4 20^{\circ}+\cos ^2 20^{\circ}}$ is :
The value of $\frac{\sin ^2 20^{\circ}+\cos ^4 20^{\circ}}{\sin ^4 20^{\circ}+\cos ^2 20^{\circ}}$ is :
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
$$\int \frac{\sin 2 x}{(1+\sin x)(2+\sin x)} d x=a \log |1+\sin x|-b \log |2+\sin x|+c$$ then the value of $a$ and $b$ is ----------------
$$\int \frac{\sin 2 x}{(1+\sin x)(2+\sin x)} d x=a \log |1+\sin x|-b \log |2+\sin x|+c$$ then the value of $a$ and $b$ is ----------------
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

The solution for the following system of inequalities $3 x-7<5+x$ and $11-5 x \leq 1$ on a real number line is

The solution for the following system of inequalities $3 x-7<5+x$ and $11-5 x \leq 1$ on a real number line is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

Kiran purchased 3 pencils, 2 notebooks and one pen for ₹41. From the same shop Manasa purchased 2 pencils, one notebook and 2 pens for ₹ 29 , while Shreya purchased 3 pencils, 2 notebooks and 2 pens for ₹ 44. The above situation can be represented in matrix form as $A X=B$. Then $|\operatorname{adj} A|$ is equal to

Kiran purchased 3 pencils, 2 notebooks and one pen for ₹41. From the same shop Manasa purchased 2 pencils, one notebook and 2 pens for ₹ 29 , while Shreya purchased 3 pencils, 2 notebooks and 2 pens for ₹ 44. The above situation can be represented in matrix form as $A X=B$. Then $|\operatorname{adj} A|$ is equal to
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The area of a triangle formed by the lines joining the vertex of the parabola $x^2=\lambda y$ to the ends of its latus rectum is 18 sq units then the value of $\lambda$ is
The area of a triangle formed by the lines joining the vertex of the parabola $x^2=\lambda y$ to the ends of its latus rectum is 18 sq units then the value of $\lambda$ is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
If $X=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ and $Y=\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right]$ and $B=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$ then $B$ equals :
If $X=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ and $Y=\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right]$ and $B=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$ then $B$ equals :
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Two numbers are selected at random from integers 1 to 9 . If their sum is even, what is the probability that both the numbers are odd?
Two numbers are selected at random from integers 1 to 9 . If their sum is even, what is the probability that both the numbers are odd?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
If the standard deviation of $0,1,2,3 \cdots\cdots\cdots9$ is ' $k$ ' then the standard deviation of $10,11,12,13, \cdots\cdots\cdots\cdots19$ will be :
If the standard deviation of $0,1,2,3 \cdots\cdots\cdots9$ is ' $k$ ' then the standard deviation of $10,11,12,13, \cdots\cdots\cdots\cdots19$ will be :
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If $A=\left[\begin{array}{ll}a & b \\ b & a\end{array}\right]$ and $(A I)^2=\left[\begin{array}{ll}\alpha & \beta \\ \beta & \alpha\end{array}\right]$ where I is the identity matrix then
If $A=\left[\begin{array}{ll}a & b \\ b & a\end{array}\right]$ and $(A I)^2=\left[\begin{array}{ll}\alpha & \beta \\ \beta & \alpha\end{array}\right]$ where I is the identity matrix then
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Let $f(x)=x \sqrt{4 a x-x^2}, a>0$ then $f^{\prime}(x)$ at $x=2 a$ is :
Let $f(x)=x \sqrt{4 a x-x^2}, a>0$ then $f^{\prime}(x)$ at $x=2 a$ is :
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The angle between two lines is $45^{\circ}$ and slope of one line is $\frac{1}{4}$ then which is the possible value of the slope of the other line.
The angle between two lines is $45^{\circ}$ and slope of one line is $\frac{1}{4}$ then which is the possible value of the slope of the other line.
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Given $Z=80 x+120 y$, subject to constraints are $x+3 y \leq 30 ; 3 x+4 y \leq 60 ; x \geq 0 ; y \geq 0$. P is one of the corner points of the feasible region for the given Linear Programming Problem. Then the coordinate of $P$ is
Given $Z=80 x+120 y$, subject to constraints are $x+3 y \leq 30 ; 3 x+4 y \leq 60 ; x \geq 0 ; y \geq 0$. P is one of the corner points of the feasible region for the given Linear Programming Problem. Then the coordinate of $P$ is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
If $\sin x+\sin ^2 x=1$ then $\cos ^8 x+2 \cos ^6 x+\cos ^4 x$ is equal to :
If $\sin x+\sin ^2 x=1$ then $\cos ^8 x+2 \cos ^6 x+\cos ^4 x$ is equal to :
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
$\int_0^1 x(1-x)^{99} d x=$
$\int_0^1 x(1-x)^{99} d x=$
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Value of the determinant of a matrix $A$ of order $3 \times 3$ is 7 . Then the value of the determinant formed by the cofactors of matrix A is
Value of the determinant of a matrix $A$ of order $3 \times 3$ is 7 . Then the value of the determinant formed by the cofactors of matrix A is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

The relationship between a and b for the continuous function

$f(x)=\left\{\begin{array}{ll}a x+1, & \text { if } x \leq 3 \\ b x+3, & \text { if } x>3\end{array}\right.$ at $x=3$ is

The relationship between a and b for the continuous function

$f(x)=\left\{\begin{array}{ll}a x+1, & \text { if } x \leq 3 \\ b x+3, & \text { if } x>3\end{array}\right.$ at $x=3$ is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
If the function $f(x)=\mu \sin x+\frac{1}{3} \sin 3 x$ has its derivative equal to zero at $x=\frac{\pi}{3}$, then the value of ' $\mu$ ' is
If the function $f(x)=\mu \sin x+\frac{1}{3} \sin 3 x$ has its derivative equal to zero at $x=\frac{\pi}{3}$, then the value of ' $\mu$ ' is
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A man is moving away from a tower 41.6 m high at a rate of $2 \mathrm{~m} / \mathrm{s}$. If the eyelevel of the man is 1.6 m above the ground, then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30 m from the foot of the tower is :
A man is moving away from a tower 41.6 m high at a rate of $2 \mathrm{~m} / \mathrm{s}$. If the eyelevel of the man is 1.6 m above the ground, then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30 m from the foot of the tower is :
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
$\sin ^{-1}(x-1)+\cos ^{-1}(x-3)+\tan ^{-1}\left(\frac{x}{2-x^2}\right)=\cos ^{-1} k+\pi$, then the value of ' $k$ ' is
$\sin ^{-1}(x-1)+\cos ^{-1}(x-3)+\tan ^{-1}\left(\frac{x}{2-x^2}\right)=\cos ^{-1} k+\pi$, then the value of ' $k$ ' is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Given that $z$ is a real number and $z=\frac{\lambda+4 i}{1+\lambda i}$ where $\lambda \in R$, then the possible value of $\lambda$ is :
Given that $z$ is a real number and $z=\frac{\lambda+4 i}{1+\lambda i}$ where $\lambda \in R$, then the possible value of $\lambda$ is :
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
If $z=\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^5+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^5$, then
If $z=\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^5+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^5$, then
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The solution of the differential equation: $x \cos y d y=\left(x e^x \log x+e^x\right) d x$ is
The solution of the differential equation: $x \cos y d y=\left(x e^x \log x+e^x\right) d x$ is
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Area of the region bounded by the curve $y=\cos x$ between $x=-\frac{\pi}{2}$ and $x=\pi$ is ------------------
Area of the region bounded by the curve $y=\cos x$ between $x=-\frac{\pi}{2}$ and $x=\pi$ is ------------------
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
If a quadratic function in $x$ has the value 19 when $x=1$ and has a maximum value 20 when $x=2$, then the function is
If a quadratic function in $x$ has the value 19 when $x=1$ and has a maximum value 20 when $x=2$, then the function is
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
If A and B are two events such that $P(\bar{A})=0.3, P(B)=0.4, P(A \cap \bar{B})=0.5$, then find the value of $P(B / A \cup \bar{B})$
If A and B are two events such that $P(\bar{A})=0.3, P(B)=0.4, P(A \cap \bar{B})=0.5$, then find the value of $P(B / A \cup \bar{B})$
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
If $\lim\limits_{x \rightarrow 1} \frac{x^4-1}{x-1}=\lim\limits_{x \rightarrow k} \frac{x^3-k^3}{x^2-k^2}$, then the value of K is :
If $\lim\limits_{x \rightarrow 1} \frac{x^4-1}{x-1}=\lim\limits_{x \rightarrow k} \frac{x^3-k^3}{x^2-k^2}$, then the value of K is :
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
$\int\left(e^{x \log _e 6}\right) e^x d x=\phi(x)+c$ then $\phi(x)=$
$\int\left(e^{x \log _e 6}\right) e^x d x=\phi(x)+c$ then $\phi(x)=$
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The number of solutions of $\frac{d y}{d x}=\frac{y+1}{x-1}$, when $y(1)=2$ is :
The number of solutions of $\frac{d y}{d x}=\frac{y+1}{x-1}$, when $y(1)=2$ is :
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Evaluate: $\lim _\limits{x \rightarrow 0} \frac{\sqrt[3]{1+x}-\sqrt[3]{1-x}}{x}$
Evaluate: $\lim _\limits{x \rightarrow 0} \frac{\sqrt[3]{1+x}-\sqrt[3]{1-x}}{x}$
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A geometric progression consists of an even number of terms. If the sum of all the terms is five times the sum of the terms occupying the odd places, then the common ratio of the geometric progression is
A geometric progression consists of an even number of terms. If the sum of all the terms is five times the sum of the terms occupying the odd places, then the common ratio of the geometric progression is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Find the function ' $f$ ' which satisfies the equation $\frac{d f}{d x}=2 f$, given that $f(0)=e^3$
Find the function ' $f$ ' which satisfies the equation $\frac{d f}{d x}=2 f$, given that $f(0)=e^3$
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
In a game, a man wins ₹ 1000 if he gets an even number greater than or equal to 4 on a fair dice and loses ₹ 200 for getting any other number on the dice. If he decides to throw the dice until he wins or maximum of three times, then his expected gain/loss in (₹) is -----------
In a game, a man wins ₹ 1000 if he gets an even number greater than or equal to 4 on a fair dice and loses ₹ 200 for getting any other number on the dice. If he decides to throw the dice until he wins or maximum of three times, then his expected gain/loss in (₹) is -----------
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The number of words that can be formed with the letters of the word 'DEFINITE' if two vowels are together and the other two are also together but separated from the first two is
The number of words that can be formed with the letters of the word 'DEFINITE' if two vowels are together and the other two are also together but separated from the first two is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
The relation $R=\{(1,1),(2,2),(3,3)\}$ on the set $\{1,2,3\}$ is
The relation $R=\{(1,1),(2,2),(3,3)\}$ on the set $\{1,2,3\}$ is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
If the length of the diagonal of a square is increasing at the rate of $0.1 \mathrm{~cm} / \mathrm{sec}$. What is the rate of increase of its area when the side is $\frac{15}{\sqrt{2}} \mathrm{~cm}$ ?
If the length of the diagonal of a square is increasing at the rate of $0.1 \mathrm{~cm} / \mathrm{sec}$. What is the rate of increase of its area when the side is $\frac{15}{\sqrt{2}} \mathrm{~cm}$ ?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Two finite sets have $m$ and $n$ elements. The total number of proper subsets of the first set is 119 more than the total number of subsets of the second set. Find the value of $m-n$
Two finite sets have $m$ and $n$ elements. The total number of proper subsets of the first set is 119 more than the total number of subsets of the second set. Find the value of $m-n$
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Given that n number of arithmetic means are inserted between two pairs of numbers $a, 2 b$ and $2 a, b$; where $a, b \in R$. If the $m^{\text {th }}$ means in the two cases are the same, then the ratio $a: b$ is equal to
Given that n number of arithmetic means are inserted between two pairs of numbers $a, 2 b$ and $2 a, b$; where $a, b \in R$. If the $m^{\text {th }}$ means in the two cases are the same, then the ratio $a: b$ is equal to
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
$\int\limits_{-2}^2 \frac{|x-3|}{x-3} d x=$
$\int\limits_{-2}^2 \frac{|x-3|}{x-3} d x=$
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
If $x=a\left[\left\{\cos t+\frac{1}{2} \log \left(\tan ^2 \frac{t}{2}\right)\right\}\right]$ and $y=a \sin t$ then $\frac{d y}{d x}=$
If $x=a\left[\left\{\cos t+\frac{1}{2} \log \left(\tan ^2 \frac{t}{2}\right)\right\}\right]$ and $y=a \sin t$ then $\frac{d y}{d x}=$
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
If the area under the curve $y=\sqrt{a^2-x^2}$ included between the lines $x=0$ and $x=a$ is 4 sq units. Then the value of ' $a$ ' is
If the area under the curve $y=\sqrt{a^2-x^2}$ included between the lines $x=0$ and $x=a$ is 4 sq units. Then the value of ' $a$ ' is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
The function $y=\frac{\log x}{x^3}$ is strictly increasing function for
The function $y=\frac{\log x}{x^3}$ is strictly increasing function for
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
If $P=\{5 m: m \in N\}$ and $Q=\left\{5^m: m \in N\right\}$, where $N$ is set of natural numbers, then
If $P=\{5 m: m \in N\}$ and $Q=\left\{5^m: m \in N\right\}$, where $N$ is set of natural numbers, then
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
The image of a point $P(3,5,3)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ is $P^{\prime}(a, b, c)$. Then $a+b+c=$
The image of a point $P(3,5,3)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ is $P^{\prime}(a, b, c)$. Then $a+b+c=$
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If $\vec{a}$ and $\vec{b}$ are two vectors such that $\vec{a} \cdot \vec{b}=|\vec{a} \times \vec{b}|$ then the angle between $\vec{a}$ and $\vec{b}$ is
If $\vec{a}$ and $\vec{b}$ are two vectors such that $\vec{a} \cdot \vec{b}=|\vec{a} \times \vec{b}|$ then the angle between $\vec{a}$ and $\vec{b}$ is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
How many natural numbers are there between 100 and 1000 such that at least one of their digits is $6 ?$
How many natural numbers are there between 100 and 1000 such that at least one of their digits is $6 ?$
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
For any vector $\vec{p}$, the value of $\left[2\left\{|\vec{p} \times \hat{\imath}|^2+|\vec{p} \times \hat{\jmath}|^2+|\vec{p} \times \hat{k}|^2\right\}\right]$ is
For any vector $\vec{p}$, the value of $\left[2\left\{|\vec{p} \times \hat{\imath}|^2+|\vec{p} \times \hat{\jmath}|^2+|\vec{p} \times \hat{k}|^2\right\}\right]$ is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1+\sqrt{\tan x}} d x=$
$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1+\sqrt{\tan x}} d x=$
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
A pot contains 5 red and 2 green balls. A ball is drawn at random from this pot. If a drawn ball is green, then a red ball is added to the pot. If a drawn ball is red, then a green ball is added to the pot, while the original ball drawn is not replaced in the pot. Now a second ball is drawn at random from the pot, what is the probability that the second ball drawn is a red ball?
A pot contains 5 red and 2 green balls. A ball is drawn at random from this pot. If a drawn ball is green, then a red ball is added to the pot. If a drawn ball is red, then a green ball is added to the pot, while the original ball drawn is not replaced in the pot. Now a second ball is drawn at random from the pot, what is the probability that the second ball drawn is a red ball?
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
If $A=\left[\begin{array}{ccc}4 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3\end{array}\right]$ then $A^{-1}$ exists if :
If $A=\left[\begin{array}{ccc}4 & \lambda & -3 \\ 0 & 2 & 5 \\ 1 & 1 & 3\end{array}\right]$ then $A^{-1}$ exists if :
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
The value of $\tan \left\{\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)-\frac{\pi}{2}\right\}$ is
The value of $\tan \left\{\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)-\frac{\pi}{2}\right\}$ is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
If the line $(3 x+14 y+7)+k(5 x+7 y+6)=0$ is perpendicular to $x$-axis then the value of ' $k$ ' is
If the line $(3 x+14 y+7)+k(5 x+7 y+6)=0$ is perpendicular to $x$-axis then the value of ' $k$ ' is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
A straight line makes positive intercepts on the coordinate axes whose sum is 5 . If the line passes through the point $P(-3,4)$ then the equation of a line is
A straight line makes positive intercepts on the coordinate axes whose sum is 5 . If the line passes through the point $P(-3,4)$ then the equation of a line is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the foci of the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is
If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the foci of the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The equation of a line passing through origin with direction angles $\frac{2 \pi}{3}, \frac{\pi}{4}, \frac{\pi}{3}$ is
The equation of a line passing through origin with direction angles $\frac{2 \pi}{3}, \frac{\pi}{4}, \frac{\pi}{3}$ is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Two lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}$ intersect at a point. Then the value of ' $k$ ' is
Two lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}$ intersect at a point. Then the value of ' $k$ ' is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Solve the following differential equation $\cos ^2 x \frac{d y}{d x}+y=\tan x$, given that $y(0)=1$. Hence find $y\left(\frac{\pi}{4}\right)$
Solve the following differential equation $\cos ^2 x \frac{d y}{d x}+y=\tan x$, given that $y(0)=1$. Hence find $y\left(\frac{\pi}{4}\right)$
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
If $\tan \alpha=\frac{1}{7}$ and $\sin \beta=\frac{1}{\sqrt{10}}, \quad 0<\alpha, \beta<\frac{\pi}{2}$ then $2 \beta$ is equal to
If $\tan \alpha=\frac{1}{7}$ and $\sin \beta=\frac{1}{\sqrt{10}}, \quad 0<\alpha, \beta<\frac{\pi}{2}$ then $2 \beta$ is equal to
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
An unbiased die is tossed twice. What is the probability of getting a 4,5 or 6 on the first toss and a $1,2,3$ or 4 on the second toss?
An unbiased die is tossed twice. What is the probability of getting a 4,5 or 6 on the first toss and a $1,2,3$ or 4 on the second toss?
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
If $y=x+e^x$ then $\frac{d^2 x}{d y^2}=$
If $y=x+e^x$ then $\frac{d^2 x}{d y^2}=$
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
An aqueous solution of an electrolyte $\mathrm{A}_3 \mathrm{~B}$ is prepared by dissolving 0.5625 g in 750 ml of water and is found to be $80 \%$ ionised. If $\mathrm{K}_{\mathrm{b}}$ for water is $0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$, calculate the boiling point of the solution at 1.0 atm pressure.
An aqueous solution of an electrolyte $\mathrm{A}_3 \mathrm{~B}$ is prepared by dissolving 0.5625 g in 750 ml of water and is found to be $80 \%$ ionised. If $\mathrm{K}_{\mathrm{b}}$ for water is $0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$, calculate the boiling point of the solution at 1.0 atm pressure.
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

Arrange the complex ions in the increasing order of their magnetic moments

A. $\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}$
B. $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{4-}$
C. $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}$
D. $\left[\mathrm{FeF}_6\right]^{3-}$

Arrange the complex ions in the increasing order of their magnetic moments

A. $\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}$
B. $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{4-}$
C. $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}$
D. $\left[\mathrm{FeF}_6\right]^{3-}$
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
When the temperature of a reaction $\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}$ is increased from 300 K to 310 K the rate constant increases by $12 \%$. What is the Activation energy of the reaction?
When the temperature of a reaction $\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}$ is increased from 300 K to 310 K the rate constant increases by $12 \%$. What is the Activation energy of the reaction?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The first electron gain enthalpy of oxygen is $-141 \mathrm{~kJ} \mathrm{~mol}^{-1}$, its second electron gain enthalpy is :
The first electron gain enthalpy of oxygen is $-141 \mathrm{~kJ} \mathrm{~mol}^{-1}$, its second electron gain enthalpy is :
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Two moles of an ideal gas at 1 bar pressure and 298 K is expanded into vacuum to double the volume. The work done is :
Two moles of an ideal gas at 1 bar pressure and 298 K is expanded into vacuum to double the volume. The work done is :
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The order of a reaction $\mathrm{W}+\mathrm{X} ---- \rightarrow \mathrm{Y}+\mathrm{Z}$ with respect to W is 3 and with respect to X is 1. If the concentrations of both W and X are tripled, the rate of reaction will increase by _________ times.
The order of a reaction $\mathrm{W}+\mathrm{X} ---- \rightarrow \mathrm{Y}+\mathrm{Z}$ with respect to W is 3 and with respect to X is 1. If the concentrations of both W and X are tripled, the rate of reaction will increase by _________ times.
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Identify the correct statement.
Identify the correct statement.
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
For the cell reaction $4 \mathrm{Br}^{-}+\mathrm{O}_2+4 \mathrm{H}^{+} \rightarrow 2 \mathrm{Br}_2+2 \mathrm{H}_2 \mathrm{O}$ at 298 K , the $\mathrm{E}^0$ cell $=0.16 \mathrm{~V}$. What would be the $\mathrm{K}_{\mathrm{c}}$ (Equilibrium constant) value if the reverse reaction were to take place?
For the cell reaction $4 \mathrm{Br}^{-}+\mathrm{O}_2+4 \mathrm{H}^{+} \rightarrow 2 \mathrm{Br}_2+2 \mathrm{H}_2 \mathrm{O}$ at 298 K , the $\mathrm{E}^0$ cell $=0.16 \mathrm{~V}$. What would be the $\mathrm{K}_{\mathrm{c}}$ (Equilibrium constant) value if the reverse reaction were to take place?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The bond angles in the following molecules decreases in the order. $\mathrm{BF}_3, \mathrm{NH}_3, \mathrm{PF}_3$ and $\mathrm{XeF}_2$
The bond angles in the following molecules decreases in the order. $\mathrm{BF}_3, \mathrm{NH}_3, \mathrm{PF}_3$ and $\mathrm{XeF}_2$
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

Two statements, one Assertion and the other Reason, are given. Choose the correct option.

Assertion : During the electrolysis of aqueous $\mathrm{NaCl}, \mathrm{Cl}_2$ is liberated at the anode in preference to $\mathrm{O}_2$ and water gets reduced to $\mathrm{H}_2$ at cathode.

Reason : The reaction at Anode with lower oxidation potential is not preferred due to over potential of Oxygen.

Two statements, one Assertion and the other Reason, are given. Choose the correct option.

Assertion : During the electrolysis of aqueous $\mathrm{NaCl}, \mathrm{Cl}_2$ is liberated at the anode in preference to $\mathrm{O}_2$ and water gets reduced to $\mathrm{H}_2$ at cathode.

Reason : The reaction at Anode with lower oxidation potential is not preferred due to over potential of Oxygen.
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
An aqueous solution of volume V ml contains a non-volatile solute of unknown mass $W_B \mathrm{~g}$ and molar mass $M_B \mathrm{~g} / \mathrm{mol}$. If the Osmotic pressure of the solution is 1.013 bar, which one of the following is the mathematical expression to be used to calculate $W_B$ ?
An aqueous solution of volume V ml contains a non-volatile solute of unknown mass $W_B \mathrm{~g}$ and molar mass $M_B \mathrm{~g} / \mathrm{mol}$. If the Osmotic pressure of the solution is 1.013 bar, which one of the following is the mathematical expression to be used to calculate $W_B$ ?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The ratio of $\mathrm{N}_2$ and $\mathrm{O}_2$ gases in the atmosphere is $4: 1$. The ratio of the mole fractions of the dissolved gases $\mathrm{N}_2$ : $\mathrm{O}_2$ in rain water will be approximately ........ (At $293 \mathrm{~K}, \mathrm{~K}_{\mathrm{H}}$ for Nitrogen and Oxygen in kbar units are 76.48 and 34.86 respectively.)
The ratio of $\mathrm{N}_2$ and $\mathrm{O}_2$ gases in the atmosphere is $4: 1$. The ratio of the mole fractions of the dissolved gases $\mathrm{N}_2$ : $\mathrm{O}_2$ in rain water will be approximately ........ (At $293 \mathrm{~K}, \mathrm{~K}_{\mathrm{H}}$ for Nitrogen and Oxygen in kbar units are 76.48 and 34.86 respectively.)
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

Identify the correct coefficients (a), (b), (c) and (d) in the following equations

i) $\quad \mathrm{xMnO}_4^{--}+$(a) $\mathrm{SO}_3{ }^{2-}+$ (b) $\mathrm{H}^{+} \cdots \longrightarrow \mathrm{xMn}^{2+}+$ (a) $\mathrm{SO}_4{ }^{2-}+$ (c) $\mathrm{H}_2 \mathrm{O}$

ii) (c) $\mathrm{S}_2 \mathrm{O}_3{ }^{2-}+$ (d) $\mathrm{MnO}_4^{-}+\mathrm{H}_2 \mathrm{O} \cdots \rightarrow$ (d) $\mathrm{MnO}_2+$ (b) $\mathrm{SO}_4{ }^{2-}+\mathrm{xOH}^{-}$

Identify the correct coefficients (a), (b), (c) and (d) in the following equations

i) $\quad \mathrm{xMnO}_4^{--}+$(a) $\mathrm{SO}_3{ }^{2-}+$ (b) $\mathrm{H}^{+} \cdots \longrightarrow \mathrm{xMn}^{2+}+$ (a) $\mathrm{SO}_4{ }^{2-}+$ (c) $\mathrm{H}_2 \mathrm{O}$

ii) (c) $\mathrm{S}_2 \mathrm{O}_3{ }^{2-}+$ (d) $\mathrm{MnO}_4^{-}+\mathrm{H}_2 \mathrm{O} \cdots \rightarrow$ (d) $\mathrm{MnO}_2+$ (b) $\mathrm{SO}_4{ }^{2-}+\mathrm{xOH}^{-}$
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The decomposition of $\mathrm{PH}_3$ follows first order kinetics. The time required for $3 / 4^{\text {th }}$ of $\mathrm{PH}_3$ to decompose is 75.76 s . Calculate the fraction of original amount of $\mathrm{PH}_3$ which will remain after 2.0 minutes.
The decomposition of $\mathrm{PH}_3$ follows first order kinetics. The time required for $3 / 4^{\text {th }}$ of $\mathrm{PH}_3$ to decompose is 75.76 s . Calculate the fraction of original amount of $\mathrm{PH}_3$ which will remain after 2.0 minutes.
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
An example of disproportionation reaction is :
An example of disproportionation reaction is :
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Identify the Alkane (molecular formula $\mathrm{C}_8 \mathrm{H}_{18}$ ) which yields only a single monochloride on Chlorination in the presence of sunlight.
Identify the Alkane (molecular formula $\mathrm{C}_8 \mathrm{H}_{18}$ ) which yields only a single monochloride on Chlorination in the presence of sunlight.
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

For a reaction,

$$A+B \rightleftharpoons 2 C$$

1.0 mole of $A, 1.5$ mole of $B$ and 0.5 mole of $C$ were taken in a 1 L vessel. At equilibrium, the concentration of $C$ was $1.0 \mathrm{~mol} \mathrm{~L}^{-1}$. The equilibrium constant for the reaction is $x / 15$. The value of ' $x$ ' is:

For a reaction,

$$A+B \rightleftharpoons 2 C$$

1.0 mole of $A, 1.5$ mole of $B$ and 0.5 mole of $C$ were taken in a 1 L vessel. At equilibrium, the concentration of $C$ was $1.0 \mathrm{~mol} \mathrm{~L}^{-1}$. The equilibrium constant for the reaction is $x / 15$. The value of ' $x$ ' is:
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The correct order of reactivity of halogens with alkanes is :
The correct order of reactivity of halogens with alkanes is :
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

Match the reactions given in Column I with the major product formed given in Column II.

S.No. Reactions S.No. Major product formed
A. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 1 P. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 2
B. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 3 Q. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 4
C. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 5 R. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 6
D. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 7 S. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 8

Match the reactions given in Column I with the major product formed given in Column II.

S.No. Reactions S.No. Major product formed
A. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 1 P. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 2
B. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 3 Q. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 4
C. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 5 R. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 6
D. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 7 S. COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 2 English 8

Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The number of grams of bromine that will completely react with 5 g of pentene is : [Atomic mass of $\mathrm{Br}=80 \mathrm{u}$ ]
The number of grams of bromine that will completely react with 5 g of pentene is : [Atomic mass of $\mathrm{Br}=80 \mathrm{u}$ ]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

Two statements, one Assertion and the other Reason are given. Choose the right option.

Assertion : Insulin is called a protein whereas Glycyl alanine is not called a protein

Reason : A polypeptide with amino acid residue less than 100 can also be called as a protein if it has a well-defined conformation of a protein.

Two statements, one Assertion and the other Reason are given. Choose the right option.

Assertion : Insulin is called a protein whereas Glycyl alanine is not called a protein

Reason : A polypeptide with amino acid residue less than 100 can also be called as a protein if it has a well-defined conformation of a protein.
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

Choose the correct metal/ ion from the brackets which -------------------------

A. has chemical reactivity similar to that of the first few members of the Lanthanoids $(\mathrm{Zn}, \mathrm{Ca}, \mathrm{Fe}, \mathrm{Cu})$.

B. has stable $4 \mathrm{f}^7$ electronic configuration, but acts as a strong reducing agent and converts to $\mathrm{M}^{3+}$ state. $\left(\mathrm{Eu}^{2+}, \mathrm{Ce}^{2+}, \mathrm{Pr}^{2+}, \mathrm{Dy}^{2+}\right)$

C. is a colorless ion $\left(\mathrm{Tm}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Gd}^{3+}, \mathrm{Sm}^{3+}\right)$.

D. shows stable +2 oxidation state and is diamagnetic ( $\mathrm{Ce}, \mathrm{Sm}, \mathrm{Ho}, \mathrm{Yb}$ )

Choose the correct metal/ ion from the brackets which -------------------------

A. has chemical reactivity similar to that of the first few members of the Lanthanoids $(\mathrm{Zn}, \mathrm{Ca}, \mathrm{Fe}, \mathrm{Cu})$.

B. has stable $4 \mathrm{f}^7$ electronic configuration, but acts as a strong reducing agent and converts to $\mathrm{M}^{3+}$ state. $\left(\mathrm{Eu}^{2+}, \mathrm{Ce}^{2+}, \mathrm{Pr}^{2+}, \mathrm{Dy}^{2+}\right)$

C. is a colorless ion $\left(\mathrm{Tm}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Gd}^{3+}, \mathrm{Sm}^{3+}\right)$.

D. shows stable +2 oxidation state and is diamagnetic ( $\mathrm{Ce}, \mathrm{Sm}, \mathrm{Ho}, \mathrm{Yb}$ )
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Which of the following alkene on reductive ozonolysis gives ketones only as the product
Which of the following alkene on reductive ozonolysis gives ketones only as the product
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The oxidation number of potassium in $\mathrm{K}_2 \mathrm{O}, \mathrm{K}_2 \mathrm{O}_2$ and $\mathrm{KO}_2$ respectively are:
The oxidation number of potassium in $\mathrm{K}_2 \mathrm{O}, \mathrm{K}_2 \mathrm{O}_2$ and $\mathrm{KO}_2$ respectively are:
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
For a cell $2 \mathrm{M}_{(\mathrm{S})}+\mathrm{O}_2(\mathrm{~g})+4 \mathrm{H}^{+} \rightarrow 2 \mathrm{M}^{2+}(\mathrm{aq})+2 \mathrm{H}_2 \mathrm{O}_{(\mathrm{l})}$ the $\mathrm{E}^0$ cell $=+1.67 \mathrm{~V}$. When $\left[\mathrm{M}^{2+}\right]$ is $1.0 \times 10^{-3} \mathrm{M}$ and $\mathrm{p}\left(\mathrm{O}_2\right)$ is 0.1 atm , the EMF of the cell becomes +1.57 V . Calculate the pH of the electrochemical cell.
For a cell $2 \mathrm{M}_{(\mathrm{S})}+\mathrm{O}_2(\mathrm{~g})+4 \mathrm{H}^{+} \rightarrow 2 \mathrm{M}^{2+}(\mathrm{aq})+2 \mathrm{H}_2 \mathrm{O}_{(\mathrm{l})}$ the $\mathrm{E}^0$ cell $=+1.67 \mathrm{~V}$. When $\left[\mathrm{M}^{2+}\right]$ is $1.0 \times 10^{-3} \mathrm{M}$ and $\mathrm{p}\left(\mathrm{O}_2\right)$ is 0.1 atm , the EMF of the cell becomes +1.57 V . Calculate the pH of the electrochemical cell.
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt

What would be the major product formed in the reaction?

COMEDK 2025 Evening Shift Chemistry - Hydrocarbons Question 2 English

What would be the major product formed in the reaction?

COMEDK 2025 Evening Shift Chemistry - Hydrocarbons Question 2 English
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt

When $0.1 \mathrm{~mol} \mathrm{~L}^{-1}$ of KCl was filled in a Conductivity cell the resistance was 80 ohms at 298 K . (Conductivity of 0.1 M KCl at 298 K is $1.29 \mathrm{~S} \mathrm{~m}^{-1}$. The same cell when filled with an unknown electrolyte of concentration 0.025 M , had a resistance of 92 ohms. What is the Molar conductivity of the electrolyte at the given concentration?

When $0.1 \mathrm{~mol} \mathrm{~L}^{-1}$ of KCl was filled in a Conductivity cell the resistance was 80 ohms at 298 K . (Conductivity of 0.1 M KCl at 298 K is $1.29 \mathrm{~S} \mathrm{~m}^{-1}$. The same cell when filled with an unknown electrolyte of concentration 0.025 M , had a resistance of 92 ohms. What is the Molar conductivity of the electrolyte at the given concentration?
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
An optically active compound $[\mathrm{X}]$ (Molecular formula $\mathrm{C}_8 \mathrm{H}_{11} \mathrm{~N}$ ) reacts with $\mathrm{CHCl}_3$ / Ethanolic KOH on heating to form an isocyanide. On reaction with $\mathrm{NaNO}_2 / \mathrm{HCl}$, it yields an alcohol with liberation of $\mathrm{N}_2$. Identify the compound $[\mathrm{X}]$.
An optically active compound $[\mathrm{X}]$ (Molecular formula $\mathrm{C}_8 \mathrm{H}_{11} \mathrm{~N}$ ) reacts with $\mathrm{CHCl}_3$ / Ethanolic KOH on heating to form an isocyanide. On reaction with $\mathrm{NaNO}_2 / \mathrm{HCl}$, it yields an alcohol with liberation of $\mathrm{N}_2$. Identify the compound $[\mathrm{X}]$.
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Choose the correct statement from the options given
Choose the correct statement from the options given
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The number of electrons with azimuthal quantum numbers $l=1$ and $l=2$ for Cr in the ground state electronic configurations are respectively. [Given: $\mathrm{Cr}(\mathrm{Z}=24)$ ]
The number of electrons with azimuthal quantum numbers $l=1$ and $l=2$ for Cr in the ground state electronic configurations are respectively. [Given: $\mathrm{Cr}(\mathrm{Z}=24)$ ]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
The ratio of the difference between the radii of $3^{\text {rd }}$ and $4^{\text {th }}$ orbits of the $\mathrm{He}^{+}$and those of $\mathrm{Li}^{2+}$ is:
The ratio of the difference between the radii of $3^{\text {rd }}$ and $4^{\text {th }}$ orbits of the $\mathrm{He}^{+}$and those of $\mathrm{Li}^{2+}$ is:
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt

Consider the reaction

$$\mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+3 \mathrm{CO}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{Fe}(\mathrm{l})+3 \mathrm{CQ}_2(\mathrm{~g})$$

In accordance with Le-Chatlier's principle, which of the following will not disturbs the equilibrium?

Consider the reaction

$$\mathrm{Fe}_2 \mathrm{O}_3(\mathrm{~s})+3 \mathrm{CO}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{Fe}(\mathrm{l})+3 \mathrm{CQ}_2(\mathrm{~g})$$

In accordance with Le-Chatlier's principle, which of the following will not disturbs the equilibrium?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
The electronic configuration of the element with atomic number 78 is :
The electronic configuration of the element with atomic number 78 is :
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt

Identify the final product $[\mathrm{Y}]$ in the following reaction.

COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 1 English

Identify the final product $[\mathrm{Y}]$ in the following reaction.

COMEDK 2025 Evening Shift Chemistry - Compounds Containing Nitrogen Question 1 English
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Choose the incorrect statement.
Choose the incorrect statement.
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt

Find the correct matches.

A. $\mathrm{Cr}_2 \mathrm{O}_7^{2-}$ P. is predominantly a basic compound.
B. $\mathrm{FeCr}_2 \mathrm{O}_4$ Q. is predominantly a acidic compound
C. $\mathrm{CrO}_3$ R. forms yellow chromate on reaction with $\mathrm{Na}_2 \mathrm{CO}_3$ in air.
D. $\mathrm{CrO}$ S. is interconvertible with $\mathrm{MO}_4^{2-}$ depending on the pH of the medium.

Find the correct matches.

A. $\mathrm{Cr}_2 \mathrm{O}_7^{2-}$ P. is predominantly a basic compound.
B. $\mathrm{FeCr}_2 \mathrm{O}_4$ Q. is predominantly a acidic compound
C. $\mathrm{CrO}_3$ R. forms yellow chromate on reaction with $\mathrm{Na}_2 \mathrm{CO}_3$ in air.
D. $\mathrm{CrO}$ S. is interconvertible with $\mathrm{MO}_4^{2-}$ depending on the pH of the medium.

Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Which of the following compounds has electrons symmetrically distributed in both $\mathrm{t}_{2 \mathrm{~g}}$ and $\mathrm{e}_{\mathrm{g}}$ orbitals?
Which of the following compounds has electrons symmetrically distributed in both $\mathrm{t}_{2 \mathrm{~g}}$ and $\mathrm{e}_{\mathrm{g}}$ orbitals?
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt

Identify the two incorrect electrochemical reactions shown as taking place in the given cells at the respective electrodes.

Cell Electrode Reaction
Lead-Storage Cell Cathode $\mathrm{Pb}+2 \mathrm{SO}_4{ }^{2-}+4 \mathrm{H}^{+}+2 \mathrm{e}^{-} \rightarrow \mathrm{PbSO}_4+2 \mathrm{H}_2 \mathrm{O}+\mathrm{SO}_2$
Leclanche Cell Cathode $\mathrm{MnO}_2+\mathrm{NH}_4^{+}+2 \mathrm{e}^{-} \rightarrow \mathrm{MnO}+\mathrm{OH}+\mathrm{NH}_3$
Mercury Cell Anode $\mathrm{Zn} / \mathrm{Hg}+2 \mathrm{OH}^{-} \rightarrow \mathrm{ZnO}(\mathrm{s})+\mathrm{H}_2 \mathrm{O}+2 \mathrm{e}^{-}$
Fuel Cell Cathode $\mathrm{O}_2(\mathrm{~g})+2 \mathrm{H}_2 \mathrm{O}+4 \mathrm{e}^{-} \rightarrow 4 \mathrm{OH}^{-}$

Identify the two incorrect electrochemical reactions shown as taking place in the given cells at the respective electrodes.

Cell Electrode Reaction
Lead-Storage Cell Cathode $\mathrm{Pb}+2 \mathrm{SO}_4{ }^{2-}+4 \mathrm{H}^{+}+2 \mathrm{e}^{-} \rightarrow \mathrm{PbSO}_4+2 \mathrm{H}_2 \mathrm{O}+\mathrm{SO}_2$
Leclanche Cell Cathode $\mathrm{MnO}_2+\mathrm{NH}_4^{+}+2 \mathrm{e}^{-} \rightarrow \mathrm{MnO}+\mathrm{OH}+\mathrm{NH}_3$
Mercury Cell Anode $\mathrm{Zn} / \mathrm{Hg}+2 \mathrm{OH}^{-} \rightarrow \mathrm{ZnO}(\mathrm{s})+\mathrm{H}_2 \mathrm{O}+2 \mathrm{e}^{-}$
Fuel Cell Cathode $\mathrm{O}_2(\mathrm{~g})+2 \mathrm{H}_2 \mathrm{O}+4 \mathrm{e}^{-} \rightarrow 4 \mathrm{OH}^{-}$

Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Choose the correct statement.
Choose the correct statement.
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt

Consider the following reaction

$$\text { Propyne }+\mathrm{CH}_3 \mathrm{MgBr} \xrightarrow{\text { dry ether }} \mathbf{X}$$

Identify ' X ' from the following.

Consider the following reaction

$$\text { Propyne }+\mathrm{CH}_3 \mathrm{MgBr} \xrightarrow{\text { dry ether }} \mathbf{X}$$

Identify ' X ' from the following.
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt

Match the IUPAC names in Column II with the correct structures given in Column I.

Structures of compounds IUPAC name
A COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 1 P 1-Bromomethyl-3-(2,2-dimethylpropyl)benzene
B COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 2 Q 1-Bromo-4-(1-methylethyl)benzene
C COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 3 R 1-Bromo-2-(1-methylpropyl)benzene
D COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 4 S 1-Bromo-4-(2-methylpropyl)benzene

Match the IUPAC names in Column II with the correct structures given in Column I.

Structures of compounds IUPAC name
A COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 1 P 1-Bromomethyl-3-(2,2-dimethylpropyl)benzene
B COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 2 Q 1-Bromo-4-(1-methylethyl)benzene
C COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 3 R 1-Bromo-2-(1-methylpropyl)benzene
D COMEDK 2025 Evening Shift Chemistry - IUPAC Nomenclatures Question 1 English 4 S 1-Bromo-4-(2-methylpropyl)benzene

Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
An organic compound $[\mathrm{X}]$ (Molecular formula $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_2$ ) reacts with dil. $\mathrm{H}_2 \mathrm{SO}_4$ to form an alcohol [B] and a carboxylic acid [C]. Reaction of compound $[\mathrm{B}]$ with Jones reagent yielded compound $[\mathrm{C}]$. When compound $[\mathrm{C}]$ was heated with $\mathrm{P}_2 \mathrm{O}_5$ an Anhydride was formed. Compound $[\mathrm{X}]$ is ------------- --
An organic compound $[\mathrm{X}]$ (Molecular formula $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_2$ ) reacts with dil. $\mathrm{H}_2 \mathrm{SO}_4$ to form an alcohol [B] and a carboxylic acid [C]. Reaction of compound $[\mathrm{B}]$ with Jones reagent yielded compound $[\mathrm{C}]$. When compound $[\mathrm{C}]$ was heated with $\mathrm{P}_2 \mathrm{O}_5$ an Anhydride was formed. Compound $[\mathrm{X}]$ is ------------- --
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
In the decomposition of limestone to lime, the values of $\Delta H^o$ and $\Delta S^o$ are $+179.1 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $160.2 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$. Calculate the temperature above which conversion of limestone to lime will be spontaneous, if values of $\Delta H^o$ and $\Delta S^o$ remain unchanged with temperature. [Assuming pressure 1 bar ]
In the decomposition of limestone to lime, the values of $\Delta H^o$ and $\Delta S^o$ are $+179.1 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $160.2 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$. Calculate the temperature above which conversion of limestone to lime will be spontaneous, if values of $\Delta H^o$ and $\Delta S^o$ remain unchanged with temperature. [Assuming pressure 1 bar ]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
The mole fraction of an unknown solute in 1560 g of Benzene is 0.5 . What is the molality of the solution? (M. M of Benzene:78 amu)
The mole fraction of an unknown solute in 1560 g of Benzene is 0.5 . What is the molality of the solution? (M. M of Benzene:78 amu)
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt

Which of the coordination compounds [(i) to (v)] are used for the following processes :

A: Electroplating

B: Removal of excess copper from human body

C: Estimation of hardness of water

(i) DMG (ii) $\mathrm{Na}_2 \mathrm{EDTA}$ (iii) Cis-platin (iv) D-penicillamine (v) $\mathrm{K}\left[\mathrm{Au}(\mathrm{CN})_2\right]$

Which of the coordination compounds [(i) to (v)] are used for the following processes :

A: Electroplating

B: Removal of excess copper from human body

C: Estimation of hardness of water

(i) DMG (ii) $\mathrm{Na}_2 \mathrm{EDTA}$ (iii) Cis-platin (iv) D-penicillamine (v) $\mathrm{K}\left[\mathrm{Au}(\mathrm{CN})_2\right]$
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt

Identify the type of reaction:

COMEDK 2025 Evening Shift Chemistry - Hydrocarbons Question 1 English

Identify the type of reaction:

COMEDK 2025 Evening Shift Chemistry - Hydrocarbons Question 1 English
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt

Identify X, Y and Z formed in the reaction:

COMEDK 2025 Evening Shift Chemistry - Aldehyde and Ketone Question 1 English

Identify X, Y and Z formed in the reaction:

COMEDK 2025 Evening Shift Chemistry - Aldehyde and Ketone Question 1 English
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Which of the following is a water soluble vitamin?
Which of the following is a water soluble vitamin?
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
At 300 K the vapour pressure of an ideal solution containing 1.0 mole each of volatile liquids X and Y is 1000 mm . Keeping the temperature constant, when 2.0 moles of liquid X is added to the solution, its vapour pressure increases by 200 mm . Calculate the vapour pressure of X and Y in their pure state
At 300 K the vapour pressure of an ideal solution containing 1.0 mole each of volatile liquids X and Y is 1000 mm . Keeping the temperature constant, when 2.0 moles of liquid X is added to the solution, its vapour pressure increases by 200 mm . Calculate the vapour pressure of X and Y in their pure state
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt

The maximum polarity and dipole moment among the following is :

The maximum polarity and dipole moment among the following is :
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
During a chemical reaction $\mathrm{X} \rightarrow \mathrm{Y}$, the rates of reaction starting with initial concentrations of X as $4.0 \times 10^{-3} \mathrm{M}$ and $2.0 \times 10^{-3} \mathrm{M}$ are $4.8 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} / \mathrm{s}$ and $1.2 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} / \mathrm{s}$ respectively. What is the order of reaction with respect to X ?
During a chemical reaction $\mathrm{X} \rightarrow \mathrm{Y}$, the rates of reaction starting with initial concentrations of X as $4.0 \times 10^{-3} \mathrm{M}$ and $2.0 \times 10^{-3} \mathrm{M}$ are $4.8 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} / \mathrm{s}$ and $1.2 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} / \mathrm{s}$ respectively. What is the order of reaction with respect to X ?
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt

Identify the Carbonyl compound which will not be formed when hydration of Alkynes is carried out with dil. $\mathrm{H}_2 \mathrm{SO}_4 / \mathrm{Hg}^{2+}$ at 333 K .

Acetone, Butanal, Ethanal, Butanone.

Identify the Carbonyl compound which will not be formed when hydration of Alkynes is carried out with dil. $\mathrm{H}_2 \mathrm{SO}_4 / \mathrm{Hg}^{2+}$ at 333 K .

Acetone, Butanal, Ethanal, Butanone.
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Choose the incorrect statement from the following.
Choose the incorrect statement from the following.
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt

Identify $[\mathrm{X}]$ used in the given reaction.

$[\mathrm{X}]+$ Copper $/ 573 \mathrm{~K} \rightarrow[\mathrm{Y}]$

$[\mathrm{Y}] \xrightarrow[\text { (ii) } \mathrm{H}_2 \mathrm{O} / \mathrm{H}^{+}]{\text {(i) } \mathrm{CH}_3 \mathrm{MgBr}}$ Tert.butyl alcohol. (major product)

Identify $[\mathrm{X}]$ used in the given reaction.

$[\mathrm{X}]+$ Copper $/ 573 \mathrm{~K} \rightarrow[\mathrm{Y}]$

$[\mathrm{Y}] \xrightarrow[\text { (ii) } \mathrm{H}_2 \mathrm{O} / \mathrm{H}^{+}]{\text {(i) } \mathrm{CH}_3 \mathrm{MgBr}}$ Tert.butyl alcohol. (major product)
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt

Which one of the following is the product $(\mathrm{Z})$ formed at the end of the given reaction:

$$\begin{aligned} & \text { Propan-1-ol }+\mathrm{SOCl}_2 \rightarrow[\mathrm{X}] \\ & {[\mathrm{X}]+\mathrm{HC} \equiv \mathrm{C}-\mathrm{Na} \rightarrow[\mathrm{Y}]} \\ & {[\mathrm{Y}]+\mathrm{H}_2 \mathrm{SO}_4 / \mathrm{HgSO}_4, 330 \mathrm{~K} \rightarrow[\mathrm{Z}]} \end{aligned}$$

Which one of the following is the product $(\mathrm{Z})$ formed at the end of the given reaction:

$$\begin{aligned} & \text { Propan-1-ol }+\mathrm{SOCl}_2 \rightarrow[\mathrm{X}] \\ & {[\mathrm{X}]+\mathrm{HC} \equiv \mathrm{C}-\mathrm{Na} \rightarrow[\mathrm{Y}]} \\ & {[\mathrm{Y}]+\mathrm{H}_2 \mathrm{SO}_4 / \mathrm{HgSO}_4, 330 \mathrm{~K} \rightarrow[\mathrm{Z}]} \end{aligned}$$
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt

Two statements, one Assertion and the other Reason are given. Identify the correct option

Assertion : Primary and secondary amides on treatment with $\mathrm{Br}_2$ and alcoholic NaOH yield primary and secondary amines respectively and the reaction involves stepping down the series.

Reason : The reaction occurs due to the migration of alkyl group from Carbonyl carbon atom to the Nitrogen atom with elimination of carbonyl group as the carbonate salt.

Two statements, one Assertion and the other Reason are given. Identify the correct option

Assertion : Primary and secondary amides on treatment with $\mathrm{Br}_2$ and alcoholic NaOH yield primary and secondary amines respectively and the reaction involves stepping down the series.

Reason : The reaction occurs due to the migration of alkyl group from Carbonyl carbon atom to the Nitrogen atom with elimination of carbonyl group as the carbonate salt.
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
The enthalpies of combustion of $\mathrm{H}_2, \mathrm{C}$ (graphite) and $\mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})$ are $-286.0,-394.0$ and $-1560.0 \mathrm{~kJ} \mathrm{~mol}^{-1}$ at $25^{\circ} \mathrm{C}$ and 1 atm pressure. The enthalpy of formation of ethane is :
The enthalpies of combustion of $\mathrm{H}_2, \mathrm{C}$ (graphite) and $\mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})$ are $-286.0,-394.0$ and $-1560.0 \mathrm{~kJ} \mathrm{~mol}^{-1}$ at $25^{\circ} \mathrm{C}$ and 1 atm pressure. The enthalpy of formation of ethane is :
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Which of the following is the most stable free radical?
Which of the following is the most stable free radical?
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt

What are the intermediates formed during the reactions $A$ and $B$ ?

A. Reimer-Tiemann reaction.

B. Dehydration of alcohols in the slow rate determining step.

What are the intermediates formed during the reactions $A$ and $B$ ?

A. Reimer-Tiemann reaction.

B. Dehydration of alcohols in the slow rate determining step.
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt

Arrange the following in the increasing order of their covalent character.

$\mathrm{CaF}_2 ; \mathrm{CaCl}_2 ; \mathrm{CaBr}_2 ; \mathrm{CaI}_2$

Arrange the following in the increasing order of their covalent character.

$\mathrm{CaF}_2 ; \mathrm{CaCl}_2 ; \mathrm{CaBr}_2 ; \mathrm{CaI}_2$
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The interference pattern is obtained with two coherent light sources of intensity ratio $9: 1$. The ratio of $\frac{I_{\operatorname{MAX}}+I_{\operatorname{MIN}}}{I_{\operatorname{MAX}}-I_{\operatorname{MIN}}}$ is $\frac{\alpha}{\beta}$. The values of $\alpha$ and $\beta$ are:
The interference pattern is obtained with two coherent light sources of intensity ratio $9: 1$. The ratio of $\frac{I_{\operatorname{MAX}}+I_{\operatorname{MIN}}}{I_{\operatorname{MAX}}-I_{\operatorname{MIN}}}$ is $\frac{\alpha}{\beta}$. The values of $\alpha$ and $\beta$ are:
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
If the mass numbers of two nuclei are in the ratio $5: 2$ and their diameters are in ratio $2: 6$. Then their nuclear densities will be in the ratio
If the mass numbers of two nuclei are in the ratio $5: 2$ and their diameters are in ratio $2: 6$. Then their nuclear densities will be in the ratio
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

Which of the following is correct in the case of the Bohr model of atoms?

A. Predicts continuous emission spectra for all atoms

B. Assumes that the angular momentum of electrons is quantised

C. Predicts same emission spectrum for singly ionised neon atom and hydrogen atom

D. Predicts same emission spectrum for singly ionised neon atom and singly ionised helium atom

Which of the following is correct in the case of the Bohr model of atoms?

A. Predicts continuous emission spectra for all atoms

B. Assumes that the angular momentum of electrons is quantised

C. Predicts same emission spectrum for singly ionised neon atom and hydrogen atom

D. Predicts same emission spectrum for singly ionised neon atom and singly ionised helium atom
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

The zener voltage in the circuit shown is $\mathrm{V}_{\mathrm{Z}}=20 \mathrm{~V}$. The load resistance $\mathrm{R}_{\mathrm{L}}=5 \mathrm{k} \Omega$ and the resistance $\mathrm{R}_{\mathrm{S}}=10 \mathrm{k} \Omega$. If the input voltage is $\mathrm{V} \mathrm{s}=100 \mathrm{~V}$, then the current through the zener diode in milliampere is:

COMEDK 2025 Evening Shift Physics - Semiconductor Devices and Logic Gates Question 1 English

The zener voltage in the circuit shown is $\mathrm{V}_{\mathrm{Z}}=20 \mathrm{~V}$. The load resistance $\mathrm{R}_{\mathrm{L}}=5 \mathrm{k} \Omega$ and the resistance $\mathrm{R}_{\mathrm{S}}=10 \mathrm{k} \Omega$. If the input voltage is $\mathrm{V} \mathrm{s}=100 \mathrm{~V}$, then the current through the zener diode in milliampere is:

COMEDK 2025 Evening Shift Physics - Semiconductor Devices and Logic Gates Question 1 English
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The unit of universal gravitational constant is :
The unit of universal gravitational constant is :
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
In the normal adjustment of an astronomical telescope, the objective and eyepiece are 36 cm apart. If the magnifying power of the telescope is 8 , find the focal lengths of the objective and eyepiece.
In the normal adjustment of an astronomical telescope, the objective and eyepiece are 36 cm apart. If the magnifying power of the telescope is 8 , find the focal lengths of the objective and eyepiece.
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
A rectangular coil of 250 turns has an average area of $20 \mathrm{~cm} \times 15 \mathrm{~cm}$. The coil rotates with a speed of 60 cycles per second in a uniform magnetic field of $2 \times 10^{-2} \mathrm{~T}$ about an axis perpendicular to the field. The peak value of the induced emf is:
A rectangular coil of 250 turns has an average area of $20 \mathrm{~cm} \times 15 \mathrm{~cm}$. The coil rotates with a speed of 60 cycles per second in a uniform magnetic field of $2 \times 10^{-2} \mathrm{~T}$ about an axis perpendicular to the field. The peak value of the induced emf is:
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A beam of incident parallel light falls on a diverging lens of focal length 20 cm in magnitude. If a converging lens of focal length 15 cm in magnitude is placed at a distance of 10 cm to the right of the diverging lens on the other side, then, the final image formed is:
A beam of incident parallel light falls on a diverging lens of focal length 20 cm in magnitude. If a converging lens of focal length 15 cm in magnitude is placed at a distance of 10 cm to the right of the diverging lens on the other side, then, the final image formed is:
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

The total number of degrees of freedom associated with $2 \mathrm{~cm}^3$ of Nitrogen gas at normal temperature and pressure is:

[Given Avogadro number as ' N ' ]

The total number of degrees of freedom associated with $2 \mathrm{~cm}^3$ of Nitrogen gas at normal temperature and pressure is:

[Given Avogadro number as ' N ' ]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A bob of a simple pendulum has a mass of 4 g and a charge of $20 \mu \mathrm{C}$. If it is at rest in a uniform horizontal electric field of intensity $1000 \mathrm{Vm}^{-1}$, the angle that the pendulum makes with the vertical at equilibrium is:
A bob of a simple pendulum has a mass of 4 g and a charge of $20 \mu \mathrm{C}$. If it is at rest in a uniform horizontal electric field of intensity $1000 \mathrm{Vm}^{-1}$, the angle that the pendulum makes with the vertical at equilibrium is:
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

Three charges, $Q,-q$ and $2 q$ are placed at the vertices of a right-angled isosceles triangle. What is the value of $q$ for the net electrostatic energy of the configuration to be zero?

COMEDK 2025 Evening Shift Physics - Electrostatics Question 1 English

Three charges, $Q,-q$ and $2 q$ are placed at the vertices of a right-angled isosceles triangle. What is the value of $q$ for the net electrostatic energy of the configuration to be zero?

COMEDK 2025 Evening Shift Physics - Electrostatics Question 1 English
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The minimum energy required by a hydrogen atom in ground state to emit radiation in Paschen series is nearly:
The minimum energy required by a hydrogen atom in ground state to emit radiation in Paschen series is nearly:
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
An object of height $h$ is placed midway between $f$ and $2 f$ in front of a biconvex lens. A real inverted image is captured on a screen placed a little beyond 2 f on the other side of the lens. If the whole arrangement is immersed in water without disturbing the object, lens and the screen positions, then the new image formed will be
An object of height $h$ is placed midway between $f$ and $2 f$ in front of a biconvex lens. A real inverted image is captured on a screen placed a little beyond 2 f on the other side of the lens. If the whole arrangement is immersed in water without disturbing the object, lens and the screen positions, then the new image formed will be
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A power transmission line feeds input power at 2200 V to a step-down transformer with its primary windings having 2000 turns. The output power is delivered at 220 V by the transformer. If the current in the primary of the transformer is 2 A and its efficiency is $80 \%$, the output current would be:
A power transmission line feeds input power at 2200 V to a step-down transformer with its primary windings having 2000 turns. The output power is delivered at 220 V by the transformer. If the current in the primary of the transformer is 2 A and its efficiency is $80 \%$, the output current would be:
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Two physical quantities having the same dimensional formula $\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right]$ are
Two physical quantities having the same dimensional formula $\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-2}\right]$ are
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The stopping potential when a metal surface is illuminated by light of wavelength $\lambda$ is 15 V . The stopping potential when the same surface is illuminated by light of wavelength $4 \lambda$ is 3 V . The ratio of threshold wavelength to the initial incident wavelength $\lambda$ is:
The stopping potential when a metal surface is illuminated by light of wavelength $\lambda$ is 15 V . The stopping potential when the same surface is illuminated by light of wavelength $4 \lambda$ is 3 V . The ratio of threshold wavelength to the initial incident wavelength $\lambda$ is:
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A wire of negligible mass having uniform area of cross section ' A ' and young modulus ' Y ' is used to suspend a point mass ' m '. The point mass executes simple harmonic motion in a vertical plane with a period ' T ', then the length of the wire is :
A wire of negligible mass having uniform area of cross section ' A ' and young modulus ' Y ' is used to suspend a point mass ' m '. The point mass executes simple harmonic motion in a vertical plane with a period ' T ', then the length of the wire is :
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Applying a constant torque the speed of a flywheel is increased from 1800 rpm to 2400 rpm in 10 seconds. The number of revolutions made by the flywheel during this time is:
Applying a constant torque the speed of a flywheel is increased from 1800 rpm to 2400 rpm in 10 seconds. The number of revolutions made by the flywheel during this time is:
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A short bar magnet placed with its axis at $45^{\circ}$ with an external field of $400 \times 10^{-4} \mathrm{~T}$ experiences a torque of 0.024 Nm . If a solenoid of cross-sectional area $10^{-4} \mathrm{~m}^2$ and 500 turns replaces the short bar magnet such that they have the same magnetic moment, then the current flowing through the solenoid is:
A short bar magnet placed with its axis at $45^{\circ}$ with an external field of $400 \times 10^{-4} \mathrm{~T}$ experiences a torque of 0.024 Nm . If a solenoid of cross-sectional area $10^{-4} \mathrm{~m}^2$ and 500 turns replaces the short bar magnet such that they have the same magnetic moment, then the current flowing through the solenoid is:
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

If the distance between the Sun and Earth is doubled, then the duration of the year on earth will be :

[Given actual duration of the year $=\mathbf{T}$ ]

If the distance between the Sun and Earth is doubled, then the duration of the year on earth will be :

[Given actual duration of the year $=\mathbf{T}$ ]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The rms velocity of the gas molecule at $327^{\circ} \mathrm{C}$ is same as the rms velocity of the oxygen molecules at $27^{\circ} \mathrm{C}$. If the molecular weight of oxygen is 32 then the molecular weight of the given gas molecule is:
The rms velocity of the gas molecule at $327^{\circ} \mathrm{C}$ is same as the rms velocity of the oxygen molecules at $27^{\circ} \mathrm{C}$. If the molecular weight of oxygen is 32 then the molecular weight of the given gas molecule is:
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Select the correct statement from the following: The position of the centre of mass of a system :
Select the correct statement from the following: The position of the centre of mass of a system :
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A particle of mass 3 g and charge $60 \mu \mathrm{C}$ is released from rest in a uniform electric field of intensity $10^5 N C^{-1}$. If the value of kinetic energy attained by the particle after moving through a distance of 2 cm is $m \times 10^{-2} J$, then the value of m is:
A particle of mass 3 g and charge $60 \mu \mathrm{C}$ is released from rest in a uniform electric field of intensity $10^5 N C^{-1}$. If the value of kinetic energy attained by the particle after moving through a distance of 2 cm is $m \times 10^{-2} J$, then the value of m is:
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt

A network of capacitors is as shown below. If the voltage supply is 100 V , find the energy stored in the $6 \mu \mathrm{~F}$ capacitor.

COMEDK 2025 Evening Shift Physics - Capacitor Question 1 English

$C_1=3 \mu F, C_2=6 \mu F, C_3=3 \mu F$ and $C_4=4 \mu F$

A network of capacitors is as shown below. If the voltage supply is 100 V , find the energy stored in the $6 \mu \mathrm{~F}$ capacitor.

COMEDK 2025 Evening Shift Physics - Capacitor Question 1 English

$C_1=3 \mu F, C_2=6 \mu F, C_3=3 \mu F$ and $C_4=4 \mu F$
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A body of mass 10 kg is moving up on an inclined plane of $30^{\circ}$ with an acceleration $2 \mathrm{~ms}^{-2}$. Find the force required, if the coefficient of friction between the object and the plane surface is $\frac{\sqrt{3}}{6}$, [given $g=10 \mathrm{~ms}^{-2}$ ].
A body of mass 10 kg is moving up on an inclined plane of $30^{\circ}$ with an acceleration $2 \mathrm{~ms}^{-2}$. Find the force required, if the coefficient of friction between the object and the plane surface is $\frac{\sqrt{3}}{6}$, [given $g=10 \mathrm{~ms}^{-2}$ ].
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A galvanometer having a resistance of $50 \Omega$ is shunted by a wire of resistance $10 \Omega$. If the total current is 2 A , the current passing through the shunt is:
A galvanometer having a resistance of $50 \Omega$ is shunted by a wire of resistance $10 \Omega$. If the total current is 2 A , the current passing through the shunt is:
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt

The power dissipated across the $16 \Omega$ resistor in the circuit is 2 watts. The power dissipated in watt units across the $4 \Omega$ resistor is:

COMEDK 2025 Evening Shift Physics - Current Electricity Question 3 English

The power dissipated across the $16 \Omega$ resistor in the circuit is 2 watts. The power dissipated in watt units across the $4 \Omega$ resistor is:

COMEDK 2025 Evening Shift Physics - Current Electricity Question 3 English
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

Select the graph which represents the motion of a particle along a straight line with uniform acceleration.

Select the graph which represents the motion of a particle along a straight line with uniform acceleration.
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A metal rod of susceptibility 799 is subjected to a magnetising field of $2000 \mathrm{Am}^{-1}$. The permeability of the material of the rod is: (Given $\mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}$ )
A metal rod of susceptibility 799 is subjected to a magnetising field of $2000 \mathrm{Am}^{-1}$. The permeability of the material of the rod is: (Given $\mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}$ )
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A given volume of gas at NTP is allowed to expand 6 times of its original volume, first under isothermal condition and then under adiabatic condition. Which of the given statement is correct? [Given $\frac{c_p}{c_v}=\gamma=1.4$ ]
A given volume of gas at NTP is allowed to expand 6 times of its original volume, first under isothermal condition and then under adiabatic condition. Which of the given statement is correct? [Given $\frac{c_p}{c_v}=\gamma=1.4$ ]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt

The net resistance between the points A and B in the circuit given below is:

COMEDK 2025 Evening Shift Physics - Current Electricity Question 2 English

The net resistance between the points A and B in the circuit given below is:

COMEDK 2025 Evening Shift Physics - Current Electricity Question 2 English
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
The wavelength of a monochromatic light which is used in single slit diffraction is 800 nm . The width of the single slit for which the first minimum appears at $\theta=45^{\circ}$ on the screen will be:
The wavelength of a monochromatic light which is used in single slit diffraction is 800 nm . The width of the single slit for which the first minimum appears at $\theta=45^{\circ}$ on the screen will be:
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A plane electromagnetic wave with frequency 40 MHz travels in free space. At a particular point in space and time, the magnetic field is $2 \times 10^{-8} T$. What will be the electric field at this point?
A plane electromagnetic wave with frequency 40 MHz travels in free space. At a particular point in space and time, the magnetic field is $2 \times 10^{-8} T$. What will be the electric field at this point?
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A series LCR circuit having $\mathrm{R}=44 \Omega, \mathrm{~L}=2 \mathrm{H}$ and $\mathrm{C}=25 \mu \mathrm{~F}$ is connected to a variable frequency of 220 V . What is the average power transferred to the circuit in one complete cycle if the frequency of supply equals the natural frequency of the circuit?
A series LCR circuit having $\mathrm{R}=44 \Omega, \mathrm{~L}=2 \mathrm{H}$ and $\mathrm{C}=25 \mu \mathrm{~F}$ is connected to a variable frequency of 220 V . What is the average power transferred to the circuit in one complete cycle if the frequency of supply equals the natural frequency of the circuit?
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Momentum of a body is increased to three times its original value. By what percentage will its kinetic energy change?
Momentum of a body is increased to three times its original value. By what percentage will its kinetic energy change?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
What is the dc component of the output voltage if a sinusoidal signal of 33 V peak voltage is the input of a half wave diode rectifier circuit?
What is the dc component of the output voltage if a sinusoidal signal of 33 V peak voltage is the input of a half wave diode rectifier circuit?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Radium having mass number 200 and binding energy per nucleon 5.6 MeV , splits into two fragments Cadmium of mass number 112 and Hassium of mass number 108. If the binding energy per nucleon for Cadmium and Hassium is approximately 8.0 MeV , then the energy $Q$ released per fission will be:
Radium having mass number 200 and binding energy per nucleon 5.6 MeV , splits into two fragments Cadmium of mass number 112 and Hassium of mass number 108. If the binding energy per nucleon for Cadmium and Hassium is approximately 8.0 MeV , then the energy $Q$ released per fission will be:
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
In a particular case X , a certain length of insulated copper wire is bent to form double loops of equal radii. In another case Y the same copper wire is bent to form three loops of equal radii. If the same steady current is passed through the copper wire in both the cases, the ratio of magnetic field at the centre in the case X to that in case Y is:
In a particular case X , a certain length of insulated copper wire is bent to form double loops of equal radii. In another case Y the same copper wire is bent to form three loops of equal radii. If the same steady current is passed through the copper wire in both the cases, the ratio of magnetic field at the centre in the case X to that in case Y is:
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The fundamental frequency of sound produced in an open pipe of length $\mathbf{L}_1$ is same as the frequency of the $3^{\text {rd }}$ harmonic of the sound produced in the closed pipe of length $\mathbf{L}_2$ Then the ratio of $\frac{L_1}{L_2}$ is :
The fundamental frequency of sound produced in an open pipe of length $\mathbf{L}_1$ is same as the frequency of the $3^{\text {rd }}$ harmonic of the sound produced in the closed pipe of length $\mathbf{L}_2$ Then the ratio of $\frac{L_1}{L_2}$ is :
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Select the correct statement from the following:
Select the correct statement from the following:
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A straight wire of mass 250 g and length 2.5 m carries a current of 4 A . It can be suspended in mid air by a uniform horizontal magnetic field of magnitude:
A straight wire of mass 250 g and length 2.5 m carries a current of 4 A . It can be suspended in mid air by a uniform horizontal magnetic field of magnitude:
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Select the correct statement from the following:
Select the correct statement from the following:
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A boy is running along a straight horizontal road with a constant speed $5 \mathrm{~ms}^{-1}$. While running he throws a stone with a velocity $30 \mathrm{~ms}^{-1}$ at an angle $60^{\circ}$ with the horizontal. Then the time of flight of the stone is: (Given $g=10 \mathrm{~ms}^{-2}$ )
A boy is running along a straight horizontal road with a constant speed $5 \mathrm{~ms}^{-1}$. While running he throws a stone with a velocity $30 \mathrm{~ms}^{-1}$ at an angle $60^{\circ}$ with the horizontal. Then the time of flight of the stone is: (Given $g=10 \mathrm{~ms}^{-2}$ )
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
In a pure inductive circuit, a sinusoidal voltage $V(t)=200 \sin 250 t$ is applied to a pure inductance of $\mathrm{L}=0.02 \mathrm{H}$. The current through the coil is:
In a pure inductive circuit, a sinusoidal voltage $V(t)=200 \sin 250 t$ is applied to a pure inductance of $\mathrm{L}=0.02 \mathrm{H}$. The current through the coil is:
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
In to a vessel containing pure water a clean glass tube of radius $3.6 \times 10^{-4} \mathrm{~m}$ is held vertically with 12 cm of the tube above the water level. Now the capillary tube is moved down in to the water so that only 2 cm of its length is above the water surface. Angle of contact $\Theta$ at this position is (given surface tension of water $=7.2 \times 10^{-2} \mathrm{Nm}^{-1}$ and $g=10 \mathrm{~ms}^{-2}$ )
In to a vessel containing pure water a clean glass tube of radius $3.6 \times 10^{-4} \mathrm{~m}$ is held vertically with 12 cm of the tube above the water level. Now the capillary tube is moved down in to the water so that only 2 cm of its length is above the water surface. Angle of contact $\Theta$ at this position is (given surface tension of water $=7.2 \times 10^{-2} \mathrm{Nm}^{-1}$ and $g=10 \mathrm{~ms}^{-2}$ )
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A point marked on a ring of radius 2 cm is in contact with a horizontal plane. Now the ring is rolled forward half a revolution along the positive X - direction. Then the angle made by the displacement vector of the point with the X - axis is:
A point marked on a ring of radius 2 cm is in contact with a horizontal plane. Now the ring is rolled forward half a revolution along the positive X - direction. Then the angle made by the displacement vector of the point with the X - axis is:
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The instantaneous values of alternating current and voltages in a circuit are $\mathrm{I}=\frac{3}{\sqrt{2}} \sin (200 \pi t)$ ampere and $\mathrm{V}=\frac{3}{\sqrt{2}} \sin \left(200 \pi t+\frac{\pi}{6}\right)$ volt. What is the average power consumed in the circuit in watt ?
The instantaneous values of alternating current and voltages in a circuit are $\mathrm{I}=\frac{3}{\sqrt{2}} \sin (200 \pi t)$ ampere and $\mathrm{V}=\frac{3}{\sqrt{2}} \sin \left(200 \pi t+\frac{\pi}{6}\right)$ volt. What is the average power consumed in the circuit in watt ?
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt

The velocity - mass graph of body with constant linear momentum is represented by the graph:

The velocity - mass graph of body with constant linear momentum is represented by the graph:
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt

A student measures the terminal potential difference $V$ of a cell of emf $\varepsilon$ and internal resistance $r$ as a function of the current I flowing through it. Which of the following graphs will give the values of emf $\varepsilon$ and internal resistance $r$ ?

A student measures the terminal potential difference $V$ of a cell of emf $\varepsilon$ and internal resistance $r$ as a function of the current I flowing through it. Which of the following graphs will give the values of emf $\varepsilon$ and internal resistance $r$ ?
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Young's double slit experiment is first done in air and then in a medium of refractive index $\mu$. If the 7 th dark fringe in the medium lies where the 4 th bright fringe is in air, then the value of $\mu$ is :
Young's double slit experiment is first done in air and then in a medium of refractive index $\mu$. If the 7 th dark fringe in the medium lies where the 4 th bright fringe is in air, then the value of $\mu$ is :
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
When ${ }^{10} \mathrm{~B}_5$ nuclei are bombarded by neutrons, one of the resultant nuclei is ${ }^7 \mathrm{Li}_3$. Then the emitted particle will be:
When ${ }^{10} \mathrm{~B}_5$ nuclei are bombarded by neutrons, one of the resultant nuclei is ${ }^7 \mathrm{Li}_3$. Then the emitted particle will be:
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The resistance of a heating element is found to be $120 \Omega$ at room temperature which is $20^{\circ} \mathrm{C}$. If the temperature coefficient of the material of the resistor is $1.6 \times 10^{-4} C^{-1}$ and the resistance is found to be $160 \Omega$, the temperature of the element is:
The resistance of a heating element is found to be $120 \Omega$ at room temperature which is $20^{\circ} \mathrm{C}$. If the temperature coefficient of the material of the resistor is $1.6 \times 10^{-4} C^{-1}$ and the resistance is found to be $160 \Omega$, the temperature of the element is:
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt

A plot of kinetic energy of emitted photoelectrons from a metal versus the frequency of incident radiation gives a straight line, the intercept of which

A. Depends on the nature of the metal used

B. Depends on the intensity of radiation

C. Depends both on the intensity and the nature of metal used

D. Is a constant and is same for all metals which is independent of the intensity of Incident radiation

A plot of kinetic energy of emitted photoelectrons from a metal versus the frequency of incident radiation gives a straight line, the intercept of which

A. Depends on the nature of the metal used

B. Depends on the intensity of radiation

C. Depends both on the intensity and the nature of metal used

D. Is a constant and is same for all metals which is independent of the intensity of Incident radiation
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
A plano-convex lens made of refractive index 1.5 and having radius of curvature $\mathrm{R}=4 \mathrm{~cm}$ fits exactly into a planoconcave lens made of refractive index 1.3 and having the same radius of curvature $R=4 \mathrm{~cm}$ such that their plane surfaces are parallel to each other. The focal length of the combination is :
A plano-convex lens made of refractive index 1.5 and having radius of curvature $\mathrm{R}=4 \mathrm{~cm}$ fits exactly into a planoconcave lens made of refractive index 1.3 and having the same radius of curvature $R=4 \mathrm{~cm}$ such that their plane surfaces are parallel to each other. The focal length of the combination is :
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The rate of heat conduction in the given two metal rods having the same length is found to be the same when the temperature difference between the ends is kept $30^{\circ} \mathrm{C}$ If the area of cross section of the first rod is $8 \times 10^{-2} \mathrm{~m}^2$ then what will be area of cross section of the second rod? [ Given that the ratio of the thermal conductivity of the first rod to that of the second rod is $1: 4$ ]
The rate of heat conduction in the given two metal rods having the same length is found to be the same when the temperature difference between the ends is kept $30^{\circ} \mathrm{C}$ If the area of cross section of the first rod is $8 \times 10^{-2} \mathrm{~m}^2$ then what will be area of cross section of the second rod? [ Given that the ratio of the thermal conductivity of the first rod to that of the second rod is $1: 4$ ]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt

A current carrying closed loop in the form of a right isosceles triangle XYZ is placed in a uniform magnetic field $B$ acting along $X Y$ of the loop. If the magnetic force on the arm $Y Z$ is $\sqrt{2} F$, then the force on the arm $X Z$ is:

COMEDK 2025 Evening Shift Physics - Moving Charges and Magnetism Question 1 English

A current carrying closed loop in the form of a right isosceles triangle XYZ is placed in a uniform magnetic field $B$ acting along $X Y$ of the loop. If the magnetic force on the arm $Y Z$ is $\sqrt{2} F$, then the force on the arm $X Z$ is:

COMEDK 2025 Evening Shift Physics - Moving Charges and Magnetism Question 1 English
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A capacitor of capacitance $4 \mu \mathrm{~F}$ is charged to a potential of 24 V and then connected in parallel to an uncharged capacitor of capacitance $6 \mu \mathrm{~F}$. The final potential difference across each capacitor will be:
A capacitor of capacitance $4 \mu \mathrm{~F}$ is charged to a potential of 24 V and then connected in parallel to an uncharged capacitor of capacitance $6 \mu \mathrm{~F}$. The final potential difference across each capacitor will be:
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
A uniformly charged conducting sphere of 0.2 m diameter has a surface charge density of $70 \mu \mathrm{Cm}^{-2}$. The electric flux leaving the surface of the sphere is:
A uniformly charged conducting sphere of 0.2 m diameter has a surface charge density of $70 \mu \mathrm{Cm}^{-2}$. The electric flux leaving the surface of the sphere is:
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
An intrinsic semiconductor has equal concentrations of hole and electron which is equal to $4 \times 10^8 \mathrm{~m}^{-3}$. During its conversion to extrinsic semiconductor, concentration of hole increases to $8 \times 10^{10} \mathrm{~m}^{-3}$. The new electron concentration is:
An intrinsic semiconductor has equal concentrations of hole and electron which is equal to $4 \times 10^8 \mathrm{~m}^{-3}$. During its conversion to extrinsic semiconductor, concentration of hole increases to $8 \times 10^{10} \mathrm{~m}^{-3}$. The new electron concentration is:
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Two electric dipoles of dipole moments $3.9 \times 10^{-30} \mathrm{Cm}$ and $5.2 \times 10^{-30} \mathrm{Cm}$ are placed in two different uniform electric fields of strengths $16 \times 10^4 \mathrm{NC}^{-1}$ and $4 \times 10^4 \mathrm{NC}^{-1}$ respectively. What is the ratio of maximum torque experienced by the electric dipoles?
Two electric dipoles of dipole moments $3.9 \times 10^{-30} \mathrm{Cm}$ and $5.2 \times 10^{-30} \mathrm{Cm}$ are placed in two different uniform electric fields of strengths $16 \times 10^4 \mathrm{NC}^{-1}$ and $4 \times 10^4 \mathrm{NC}^{-1}$ respectively. What is the ratio of maximum torque experienced by the electric dipoles?
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