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JEE Main 2023 (13 Apr, Shift 1)

59 questions from this JEE Main 2023 paper. Log in to view the correct answer and explanation for each question.

Q1 MATHS Unit 7: Limit Continuity and Differentiability
For the differentiable function $f : \mathbb{R} - \{0\} \to \mathbb{R}$, let $3f(x) + 2f\left(\frac{1}{x}\right) = \frac{1}{x} - 10$, then $\left|f(3) + f'\left(\frac{1}{4}\right)\right|$ is equal to
  • A. 7
  • B. $\frac{29}{5}$
  • C. $\frac{33}{5}$
  • D. 13

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Q2 MATHS Unit 7: Limit Continuity and Differentiability
The set of all $a \in \mathbb{R}$ for which the equation $x|x-1|+|x+2|+a=0$ has exactly one real root, is
  • A. $(-\infty,-3)$
  • B. $(-6,\infty)$
  • C. $(-\infty,\infty)$
  • D. $(-6,-3)$

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Q3 MATHS Unit 3: Matrices and Determinants
Let $B=\begin{bmatrix}1&3&\alpha\\1&2&3\\\alpha&\alpha&4\end{bmatrix}$, $\alpha>2$ be the adjoint of a matrix $A$ and $|A|=2$. Then $\begin{bmatrix}\alpha-2\alpha&\alpha\end{bmatrix}B\begin{bmatrix}\alpha\\-2\alpha\\\alpha\end{bmatrix}$ is equal to
  • B. -16
  • C. 16
  • D. 32

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Q4 MATHS Unit 3: Matrices and Determinants
For the system of linear equations $2x+4y+2az=b$ $x+2y+3z=4$ $2x-5y+2z=8$ which of the following is NOT correct?
  • A. It has unique solution if $a=b=6$
  • B. It has unique solution if $a=b=8$
  • C. It has infinitely many solutions if $a=3,\ b=8$
  • D. It has infinitely many solutions if $a=3,\ b=6$

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Q5 MATHS Unit 3: Matrices and Determinants
The number of symmetric matrices of order $3$, with all the entries from the set $\{0,1,2,3,4,5,6,7,8,9\}$, is
  • A. $10^9$
  • B. $9^{10}$
  • C. $10^6$
  • D. $6^{10}$

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Q6 MATHS Unit 6: Sequence and Series
Let $s_1,s_2,s_3,\ldots,s_{10}$ respectively be the sum to $12$ terms of $10$ A.P.s whose first terms are $1,2,3,\ldots,10$ and the common differences are $1,3,5,\ldots,19$ respectively. Then $\sum_{i=1}^{10} s_i$ is equal to
  • A. 7260
  • B. 7220
  • C. 7360
  • D. 7380

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Q7 MATHS Unit 6: Sequence and Series
Among $(S1):\ \lim_{n\to\infty}\frac{1}{n^2}(2+4+6+\cdots+2n)=1$ $(S2):\ \lim_{n\to\infty}\frac{1}{n^{16}}(1^{15}+2^{15}+3^{15}+\cdots+n^{15})=\frac{1}{16}$
  • A. Only $(S1)$ is true
  • B. Only $(S2)$ is true
  • C. Both $(S1)$ and $(S2)$ are true
  • D. Both $(S1)$ and $(S2)$ are false

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Q8 MATHS Unit 10: Co-ordinate Geometry
Let the equation of plane passing through the line of intersection of the planes $x+2y+az=2$ and $x-y+z=3$ be $5x-11y+bz=6a-1$. For $c\in\mathbb{Z}$, if the distance of this plane from the point $(a,-c,c)$ is $\frac{2}{\sqrt{a}}$, then $\frac{a+b}{c}$ is equal to
  • A. -4
  • B. -2
  • C. 2
  • D. 4

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Q9 MATHS Unit 12: Vector Algebra
Let $\vec{a} = \hat{i} + 4\hat{j} + 2\hat{k}$, $\vec{b} = 3\hat{i} - 2\hat{j} + 7\hat{k}$ and $\vec{c} = 2\hat{i} - \hat{j} + 4\hat{k}$. If a vector $\vec{d}$ satisfies $\vec{d} \times \vec{b} = \vec{c} \times \vec{b}$ and $\vec{d} \cdot \vec{a} = 24$, then $|\vec{d}|^2$ is equal to
  • A. 323
  • B. 313
  • C. 423
  • D. 413

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Q10 MATHS Unit 14: Trigonometry
$\max_{0\le x\le \pi} \left\{x - 2\sin x\cos x + \frac{1}{3}\sin 3x\right\} =$
  • A. $\dfrac{\pi + 2 - 3\sqrt{3}}{6}$
  • B. $\dfrac{5\pi + 2 + 3\sqrt{3}}{6}$
  • C. $\pi$

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Q11 MATHS Unit 8: Integral Calculus
$\int_0^{\infty} \frac{6}{e^{3x}+6e^{2x}+11e^x+6} \, dx =$
  • A. $\log_e\left(\dfrac{512}{81}\right)$
  • B. $\log_e\left(\dfrac{64}{27}\right)$
  • C. $\log_e\left(\dfrac{256}{81}\right)$
  • D. $\log_e\left(\dfrac{32}{27}\right)$

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Q12 MATHS Unit 8: Integral Calculus
The area of the region enclosed by the curve $f(x)=\max\{\sin x, \cos x\}$, $-\pi\le x\le \pi$ and the x-axis is
  • A. $2\sqrt{2}(\sqrt{2}+1)$
  • B. 4
  • C. $2(\sqrt{2}+1)$
  • D. $4\sqrt{2}$

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Q13 MATHS Unit 6: Sequence and Series
Fractional part of the number $\dfrac{4^{2022}}{15}$ is equal to
  • A. $\dfrac{1}{15}$
  • B. $\dfrac{4}{15}$
  • C. $\dfrac{8}{15}$
  • D. $\dfrac{14}{15}$

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Q14 MATHS Unit 9: Differential Equations
Let $y=y_1(x)$ and $y=y_2(x)$ be the solution curves of the differential equation $\dfrac{dy}{dx}=y+7$ with initial conditions $y_1(0)=0$ and $y_2(0)=1$ respectively. Then the curves $y=y_1(x)$ and $y=y_2(x)$ intersect at
  • A. no point
  • B. one point
  • C. two points
  • D. infinite number of points

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Q15 MATHS Unit 10: Co-ordinate Geometry
Let the tangent and normal at the point $(3\sqrt{3},1)$ on the ellipse $\dfrac{x^2}{36}+\dfrac{y^2}{4}=1$ meet the y-axis at the points $A$ and $B$ respectively. Let the circle $C$ be drawn taking $AB$ as a diameter and the line $x=2\sqrt{5}$ intersect $C$ at the points $P$ and $Q$. If the tangents at the points $P$ and $Q$ on the circle intersect at the point $(\alpha,\beta)$, then $\alpha^2-\beta^2$ is equal to
  • A. 60
  • B. 61
  • C. $\dfrac{304}{5}$
  • D. $\dfrac{314}{5}$

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Q16 MATHS Unit 10: Co-ordinate Geometry
Let $PQ$ be a focal chord of the parabola $y^2=36x$ of length $100$, making an acute angle with the positive x-axis. Let the ordinate of $P$ be positive and $M$ be the point on the line segment $PQ$ such that $PM:MQ=3:1$. Then which of the following points does NOT lie on the line passing through $M$ and perpendicular to the line $PQ$?
  • A. $(3,33)$
  • B. $(-6,45)$
  • C. $(-3,43)$
  • D. $(6,29)$

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Q17 MATHS Unit 12: Vector Algebra
The distance of the point $(-1, 2, 3)$ from the plane $\vec{r}\cdot(\hat{i}-2\hat{j}+3\hat{k})=10$ parallel to the line of the shortest distance between the lines $\vec{r}=(\hat{i}-\hat{j})+\lambda(2\hat{i}+\hat{k})$ and $\vec{r}=(2\hat{i}-\hat{j})+\mu(\hat{i}-\hat{j}+\hat{k})$ is
  • A. $3\sqrt{5}$
  • B. $2\sqrt{6}$
  • C. $3\sqrt{6}$
  • D. $2\sqrt{5}$

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Q18 MATHS Unit 6: Sequence and Series
A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If $X$ denotes the number of tosses of the coin, then the mean of $X$ is
  • A. $\frac{21}{16}$
  • B. $\frac{15}{16}$
  • C. $\frac{81}{64}$
  • D. $\frac{37}{16}$

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Q19 MATHS Unit 1: Sets Relations and Functions
For $x\in \mathbb{R}$, two real valued functions $f(x)$ and $g(x)$ are such that, $g(x)=\sqrt{x}+1$ and $f\circ g(x)=x+3-\sqrt{x}$. Then $f(0)$ is equal to
  • A. $-3$
  • B. $0$
  • C. $1$
  • D. $5$

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Q20 CHEMISTRY Unit 14: Some Basic Principles of Organic Chemistry
The negation of the statement $((A\wedge (B\vee C))\Rightarrow (A\vee B))\Rightarrow A$ is
  • A. a fallacy
  • B. equivalent to $B\vee \sim C$
  • C. equivalent to $\sim A$
  • D. equivalent to $\sim C$

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Q31 PHYSICS Unit 2: Kinematics
A body of mass $(5 \pm 0.5)$ kg is moving with a velocity of $(20 \pm 0.4)$ m/s. Its kinetic energy will be
  • A. $(1000 \pm 0.14)$ J
  • B. $(1000 \pm 140)$ J
  • C. $(500 \pm 0.14)$ J
  • D. $(500 \pm 140)$ J

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Q32 PHYSICS Unit 2: Kinematics
Two trains 'A' and 'B' of length $l$ and $4l$ are travelling into a tunnel of length $L$ in parallel tracks from opposite directions with velocities $108$ km/h and $72$ km/h, respectively. If train 'A' takes $35$s less time than train 'B' to cross the tunnel, then, length 'L' of tunnel is: (Given $L=60l$)
  • A. $1800$ m
  • B. $900$ m
  • C. $1200$ m
  • D. $2700$ m

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Q33 PHYSICS Unit 5: Rotational Motion
A disc is rolling without slipping on a surface. The radius of the disc is $R$. At $t=0$, the top most point on the disc is $A$ as shown in figure. When the disc completes half of its rotation, the displacement of point $A$ from its initial position is
Question 33 image
  • A. $2R\sqrt{1+4\pi^2}$
  • B. $2R$
  • C. $R\sqrt{\pi^2+1}$
  • D. $R\sqrt{\pi^2+4}$

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Q34 PHYSICS Unit 5: Rotational Motion
Two bodies are having kinetic energies in the ratio $16:9$. If they have same linear momentum, the ratio of their masses respectively is :
  • A. $3:4$
  • B. $9:16$
  • C. $4:3$
  • D. $16:9$

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Q35 PHYSICS Unit 4: Work Energy and Power
A bullet of $10\ \text{g}$ leaves the barrel of gun with a velocity of $600\ \text{m/s}$. If the barrel of gun is $50\ \text{cm}$ long and mass of gun is $3\ \text{kg}$, then value of impulse supplied to the gun will be :
  • A. 12 Ns
  • B. 3 Ns
  • C. 6 Ns
  • D. 36 Ns

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Q36 PHYSICS Unit 6: Gravitation
A planet having mass $9M_e$ and radius $4R_e$, where $M_e$ and $R_e$ are mass and radius of earth respectively, has escape velocity in km/s given by: (Given escape velocity on earth $V_e = 11.2 \times 10^3\ \text{m/s}$)
  • A. 67.2
  • B. 33.6
  • C. 16.8
  • D. 11.2

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Q37 PHYSICS Unit 11: Electrostatics
The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross-section. Cross sectional areas at A is $1.5\ \text{cm}^2$, and B is $25\ \text{mm}^2$, if the speed of liquid at B is $60\ \text{cm/s}$ then $(P_A - P_B)$ is: (Given $P_A$ and $P_B$ are liquid pressures at A and B points. density $\rho = 1000\ \text{kg m}^{-3}$ A and B are on the axis of tube
Question 37 image
  • A. 27 Pa
  • B. 175 Pa
  • C. 135 Pa
  • D. 36 Pa

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Q38 PHYSICS Unit 7: Properties of Solids and Liquids
Under isothermal condition, the pressure of a gas is given by $P = aV^{-3}$, where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to
  • A. $3P$
  • B. $2P$
  • C. $P$
  • D. $\frac{P}{2}$

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Q39 PHYSICS Unit 9: Kinetic Theory of Gases
The rms speed of oxygen molecule in a vessel at particular temperature is $\left(1 + \frac{5}{x}\right)^{1/2} v$, where $v$ is the average speed of the molecule. The value of $x$ will be: (Take $\pi = \frac{22}{7}$)
  • A. 4
  • B. 8
  • C. 27
  • D. 28

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Q40 PHYSICS Unit 10: Oscillations and Waves
Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?
  • A. A dome-shaped curve, maximum at x = 0 and zero at x = ±A Choice A image
  • B. An inverted V-shaped graph with peak at x = 0 Choice B image
  • C. A U-shaped parabola with minimum at x = 0 and zero at x = ±A Choice C image
  • D. A curve that is maximum at x = -A, decreases to x = 0, then decreases further for x > 0 Choice D image

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Q41 PHYSICS Unit 4: Work Energy and Power
The ratio of powers of two motors is $\frac{3\sqrt{x}}{\sqrt{x}+1}$, that are capable of raising $300\ \text{kg}$ water in $5$ minutes and $50\ \text{kg}$ water in $2$ minutes respectively from a well of $100\ \text{m}$ deep. The value of $x$ will be
  • A. 2
  • B. 4
  • C. 16
  • D. 2:4

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Q42 PHYSICS Unit 14: Electromagnetic Induction and Alternating Currents
Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :
  • A. $\oint \vec{B} \cdot d\vec{l} = \mu_0 I$
  • B. $\oint \vec{E} \cdot d\vec{l} = -\frac{\phi_B}{dt}$
  • C. $\oint \vec{D} \cdot d\vec{A} = Q$
  • D. $\oint \vec{E} \cdot d\vec{l} = 0$

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Q43 PHYSICS Unit 15: Electromagnetic Waves
The source of time varying magnetic field may be (A) a permanent magnet (B) an electric field changing linearly with time (C) direct current (D) a decelerating charge particle (E) an antenna fed with a digital signal Choose the correct answer from the options given below:
  • A. (A) only
  • B. (D) only
  • C. (C) and (E) only
  • D. (B) and (D) only

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Q44 PHYSICS Unit 16: Optics
A vessel of depth 'd' is half filled with oil of refractive index $n_1$ and the other half is filled with water of refractive index $n_2$. The apparent depth of this vessel when viewed from above is:
  • A. $\dfrac{d\,n_1 n_2}{2(n_1+n_2)}$
  • B. $\dfrac{d\,n_1 n_2}{n_1+n_2}$
  • C. $\dfrac{2d(n_1+n_2)}{n_1 n_2}$
  • D. $\dfrac{d(n_1+n_2)}{2n_1 n_2}$

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Q45 PHYSICS Unit 17: Dual Nature of Matter and Radiation
The difference between threshold wavelengths for two metal surfaces A and B having work function $\Phi_A = 9\,\text{eV}$ and $\Phi_B = 4.5\,\text{eV}$ in nm is: {Given, $hc = 1242\,\text{eV nm}$}
  • A. 264
  • B. 540
  • C. 276
  • D. 138

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Q46 PHYSICS Unit 18: Atoms and Nuclei
${}^{238}_{92}A \rightarrow {}^{234}_{90}B + {}^{4}_{2}D + Q$ In the given nuclear reaction, the approximate amount of energy released will be: [Given, mass of ${}^{238}_{92}A = 238.05079 \times 931.5\,\text{MeV}/c^2$, mass of ${}^{234}_{90}B = 234.04363 \times 931.5\,\text{MeV}/c^2$, mass of ${}^{4}_{2}D = 4.00260 \times 931.5\,\text{MeV}/c^2$]
  • A. 3.82 MeV
  • B. 4.25 MeV
  • C. 5.9 MeV
  • D. 2.12 MeV

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Q47 PHYSICS Unit 19: Electronic Devices
For the following circuit and given inputs A and B, choose the correct option for output 'Y'
Question 47 image
  • A. Output Y stays low until t6, then goes high Choice A image
  • B. Output Y is high only between t2 and t6 Choice B image
  • C. Output Y is high only between t1 and t2 Choice C image
  • D. Output Y is high only between t1 and t2, then low Choice D image

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Q48 PHYSICS Unit 15: Electromagnetic Waves
Match List - I with List - II List - I (Layer of atmosphere) (A) $F_1$ - Layer (B) $D$ - Layer (C) Troposphere (D) $E$ - layer List - II (Approximate height over earth's surface) (I) 10 km (II) 170 - 190 km (III) 100 km (IV) 65 - 75 km Choose the correct answer from the options given below:
  • A. A – II, B – IV, C – III, D – I
  • B. A – III, B – IV, C – I, D – II
  • C. A – II, B – IV, C – I, D – III
  • D. A – II, B – I, C – IV, D – III

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Q49 PHYSICS Unit 11: Electrostatics
Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an electric dipole. If the dipole is placed in a uniform electric field $\vec{E}$ of 10 dyne/C making $30^\circ$ angle with $\vec{E}$, the magnitude of torque acting on dipole is:
  • A. $1.0 \times 10^{-8}$ Nm
  • B. $2.0 \times 10^{-10}$ Nm
  • C. $4.0 \times 10^{-10}$ Nm
  • D. $1.5 \times 10^{-9}$ Nm

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Q50 PHYSICS Unit 12: Current Electricity
Different combination of 3 resistors of equal resistance $R$ are shown in the figures. The increasing order for power dissipation is:
Question 50 image
  • A. $P_A < P_B < P_C < P_D$
  • B. $P_C < P_B < P_A < P_D$
  • C. $P_C < P_D < P_A < P_B$
  • D. $P_B < P_C < P_D < P_A$

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Q61 CHEMISTRY Unit 2: Atomic Structure
The energy of an electron in the first Bohr orbit of hydrogen atom is $-2.18 \times 10^{-18}\,\text{J}$. Its energy in the third Bohr orbit is ________.
  • A. One third of this value
  • B. $\frac{1}{9}$th of this value
  • C. Three times of this value
  • D. $\frac{1}{27}$th of this value

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Q62 CHEMISTRY Unit 3: Chemical Bonding and Molecular Structure
In which of the following processes, the bond order increases and paramagnetic character changes to diamagnetic one ?
  • A. $\mathrm{NO \rightarrow NO^+}$
  • B. $\mathrm{O_2 \rightarrow O_2^+}$
  • C. $\mathrm{O_2 \rightarrow O_2^{2-}}$
  • D. $\mathrm{N_2 \rightarrow N_2^+}$

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Q63 CHEMISTRY Unit 5: Solutions
What happens when a lyophilic sol is added to a lyophobic sol?
  • A. Lyophilic sol is dispersed in lyophobic sol.
  • B. Lyophobic sol is coagulated
  • C. Film of lyophilic sol is formed over lyophobic sol.
  • D. Film of lyophobic sol is formed over lyophilic sol.

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Q64 CHEMISTRY Unit 9: Classification of Elements and Periodicity in Properties
Which of the following statements are not correct? A. The electron gain enthalpy of F is more negative than that of Cl. B. Ionization enthalpy decreases in a group of periodic table. C. The electronegativity of an atom depends upon the atoms bonded to it. D. $\mathrm{Al_2O_3}$ and NO are examples of amphoteric oxides. Choose the most appropriate answer from the options given below :
  • A. A, B and D Only
  • B. A, B, C and D
  • C. B and D Only
  • D. A, C and D Only

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Q65 CHEMISTRY Unit 7: Redox Reactions and Electrochemistry
Which one of the following is most likely a mismatch ?
  • A. Titanium - van Arkel Method
  • B. Nickel - Mond process
  • C. Zinc - Liquation
  • D. Copper - Electrolysis

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Q66 CHEMISTRY Unit 7: Redox Reactions and Electrochemistry
Given below are two statements : Statement I: Permutit process is more efficient compared to the synthetic resin method for the softening of water. Statement II: Synthetic resin method results in the formation of soluble sodium salts. In the light of the above statements, choose the most appropriate answer from the options given below:
  • A. Both the Statements I and II are correct
  • B. Both the Statements I and II are incorrect
  • C. Statement I is correct but Statement II is incorrect
  • D. Statement I is incorrect but Statement II is correct

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Q67 CHEMISTRY Unit 3: Chemical Bonding and Molecular Structure
$\mathrm{Be(OH)_2}$ reacts with $\mathrm{Sr(OH)_2}$ to yield an ionic salt. Choose the incorrect option related to this reaction from the following :
  • A. Both Sr and Be elements are present in the ionic salt.
  • B. The reaction is an example of acid - base neutralization reaction.
  • C. The element Be is present in the cationic part of the ionic salt.
  • D. Be is tetrahedrally coordinated in the ionic salt.

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Q68 CHEMISTRY Unit 3: Chemical Bonding and Molecular Structure
$\mathrm{ClF_5}$ at room temperature is a:
  • A. Colourless liquid with trigonal bipyramidal geometry
  • B. Colourless liquid with square pyramidal geometry
  • C. Colourless gas with square pyramidal geometry
  • D. Colourless gas with trigonal bipyramidal geometry.

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Q69 CHEMISTRY Unit 10: p-Block Elements
The incorrect statement from the following for borazine is:
  • A. It is a cyclic compound.
  • B. It contains banana bonds.
  • C. It can react with water.
  • D. It has electronic delocalization.

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Q70 CHEMISTRY Unit 11: d- and f-Block Elements
The pair of lanthanides in which both elements have high third-ionization energy is:
  • A. Eu, Gd
  • B. Eu, Yb
  • C. Dy, Gd
  • D. Lu, Yb

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Q71 CHEMISTRY Unit 12: Coordination Compounds
The mismatched combinations are A. Chlorophyll - Co B. Water hardness - EDTA C. Photography - $[\mathrm{Ag(CN)_2}]^-$ D. Wilkinson catalyst - $[\mathrm{(Ph_3P)_3RhCl}]$ E. Chelating ligand - D-Penicillamine Choose the correct answer from the options given below :
  • A. A, C, and E Only
  • B. A and C Only
  • C. A and E Only
  • D. D and E Only

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Q72 CHEMISTRY Unit 10: p-Block Elements
The radical which mainly causes ozone depletion in the presence of UV radiations is :
  • A. $\mathrm{NO^\bullet}$
  • B. $\mathrm{OH^\bullet}$
  • C. $\mathrm{Cl^\bullet}$
  • D. $\mathrm{CH_3^\bullet}$

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Q73 CHEMISTRY Unit 14: Some Basic Principles of Organic Chemistry
Among the following compounds, the one which shows highest dipole moment is
  • A. Two benzene rings connected by a double bond
  • B. Cyclopropanone
  • C. Two conjugated ring systems connected by a double bond
  • D. A cyclopropene ring connected by a double bond to a cyclopropene-type ring

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Q75 CHEMISTRY Unit 16: Organic Compounds Containing Halogens
2-Methyl propyl bromide reacts with $\mathrm{C_2H_5O^-}$ and gives 'A' whereas on reaction with $\mathrm{C_2H_5OH}$ it gives 'B'. The mechanism followed in these reactions and the products 'A' and 'B' respectively are :
  • A. $\mathrm{S_N2}$, $A =$ iso-butyl ethyl ether; $\mathrm{S_N1}$, $B =$ tert-butyl ethyl ether
  • B. $\mathrm{S_N1}$, $A =$ tert-butyl ethyl ether; $\mathrm{S_N2}$, $B =$ iso-butyl ethyl ether
  • C. $\mathrm{S_N1}$, $A =$ tert-butyl ethyl ether; $\mathrm{S_N1}$, $B =$ 2-butyl ethyl ether
  • D. $\mathrm{S_N2}$, $A =$ 2-butyl ethyl ether; $\mathrm{S_N2}$, $B =$ iso-butyl ethyl ether

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Q76 CHEMISTRY Unit 14: Some Basic Principles of Organic Chemistry
In the above reaction, left hand side and right hand side rings are named as 'A' and 'B' respectively. They undergo ring expansion. The correct statement for this process is:
Question 76 image
  • A. Finally both rings will become six membered each.
  • B. Finally both rings will become five membered each.
  • C. Ring expansion can go upto seven membered rings
  • D. Only A will become 6 membered.

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Q77 CHEMISTRY Unit 18: Organic Compounds Containing Nitrogen
In the reaction given below, $\text{A}'$ major product is formed from: (i) $\text{NaOH}, \Delta$ (ii) $\text{H}^+$ 'A' is
Question 77 image
  • A. MeHN-(CH2)3-COOH Choice A image
  • B. MeN with ring and two OH groups Choice B image
  • C. MeN-substituted five-membered ring with an OH group Choice C image
  • D. MeHN-(CH2)3-CHO Choice D image

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Q78 CHEMISTRY Unit 18: Organic Compounds Containing Nitrogen
In the reaction given below, '$\text{B}' major product is: (i) $\text{HCl}$ (ii) $\text{KOH}$
Question 78 image
  • A. Fused-ring product retaining side chain NH2 Choice A image
  • B. Fused-ring product with cyclohexane-like ring Choice B image
  • C. Nitrogen-containing bridged product Choice C image
  • D. Aromatic fused product with NH2 side chain Choice D image

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Q79 CHEMISTRY Unit 14: Some Basic Principles of Organic Chemistry
Match the following: Column-A (a) Nylon 6 (b) Vulcanized Rubber (c) cis-1,4-polyisoprene (d) Polychloroprene Column-B I. Natural Rubber II. Cross Linked III. Caprolactam IV. Neoprene Choose the correct answer from options given below:
Question 79 image
  • A. a->II, b->III, c->IV, d->I
  • B. a->III, b->II, c->I, d->IV
  • C. a->III, b->IV, c->I, d->II
  • D. a->IV, b->III, c->II, d->I

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Q80 CHEMISTRY Unit 18: Organic Compounds Containing Nitrogen
D-(+)-Glyceraldehyde undergoes the following sequence: (i) HCN (ii) H2O / H+ (iii) HNO3 The products formed in the above reaction are
Question 80 image
  • A. Two optically active products
  • B. One optically active and one meso product
  • C. One optically inactive and one meso product
  • D. D(+)-Glyceraldehyde sequence leading to products in Hindi-labeled option

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