MHT CET 2025 20th April Evening Shift | MHT CET Year Wise Previous Years Questions

Chemistry

1. Assume the cell reaction, $$ \mathrm{A}_{(\mathrm{s})}+\mathrm{B}_{(\mathrm{aq})}^{+2} \longrightarrow \mathrm{~A}_{(\ma 2. Calculate the volume occupied by a particle in bcc unit cell if the volume of unit cell is $8.2 \times 10^{-23} \mathrm{ 3. Identify the name of reaction for aryl halide with alkyl halide and sodium metal in dry ether to give substituted aromat 4. Which among the following compounds forms pink colouration on addition of Schiff's reagent? 5. Calculate work done if 1 mole of an ideal gas compressed isothermally and reversibly from 12 $\mathrm{dm}^3$ to $6 \math 6. Calculate the number of unit cells in $1 \mathrm{~cm}^3$ volume of an element if unit cell edge length is $4.0 \times 10 7. Which from following compounds contains complex cations and anions? 8. If concentration of reactant ' $A$ ' is increased by 10 times, rate of reaction increases 100 times. What is order of re 9. Which from following lanthanoids exhibits +4 oxidation state in $\mathrm{F}^7$ configuration? 10. Which among the following salts turns red litmus blue in its aqueous solution? 11. A container consisting mixture of $28 \mathrm{~g} \mathrm{~N}_2, 8 \mathrm{~g} \mathrm{He}$ and 40 g Ne at $25^{\circ} \ 12. Select the incorrect statement about $\mathrm{N}_2$ molecule. 13. Identify the correct decreasing order of boiling point for hydrides of halogens. 14. Find out number of carbon atoms present in 0.35 mole of glucose. 15. Find the expected value of $\Delta \mathrm{T}_{\mathrm{b}}$ for $1 \mathrm{~m} \mathrm{AlCl}{ }_3$ solution in water if 16. Which of the following change takes place at positive electrode during working of dry cell? 17. 4 gram of NaOH is added in water to form 500 mL solution at 298 K . What is pH of solution? (Molar mass of $\mathrm{NaOH 18. A compound contains atoms of $x, y$ and z elements. Oxidation numbers of $x, y$ and $z$ are +3 , +5 and -2 respectively. 19. Which of the following compound is used for preparation of quicklime? 20. Which from following gases is adsorbed to greater extent if adsorbent remains same at similar conditions of temperature 21. Which of the following is effectively used to remove E. coli bacteria from water? 22. What is order and molecularity of following reaction? $$ \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{NO}_{2(\mathrm{~g})} \long 23. The solubility of salt $\mathrm{BA}_2$ is $4 \times 10^{-4} \mathrm{~mol} \mathrm{dm}^{-3}$. What is solubility product 24. Which among the following compounds has lowest boiling point? 25. What is shape of $\mathrm{BrF}_5$ molecule? 26. The correct order of reactivity for reaction involving cleavage of C-X bond in following compounds is 27. Which from following is a strong field ligand? 28. Calculate vapour pressure of pure volatile liquid $B$ at given temperature if mole faction of liquid $B$ and vapour pres 29. Identify the monomer used in preparation of polyacrylonitrile? 30. Identify the product ' B ' in following reaction. Ethanal $\xrightarrow{\text { dil } \mathrm{NaOH}} A \xrightarrow[\mat 31. What are the positions of ' N ' atoms present in pyrimidine ring of nucleic acids? 32. Identify the major product obtained when anisole reacts with bromine in acetic acid. 33. Calculate the molality of nonvolatile solution if solution freezes at $-0.95^{\circ} \mathrm{C}$ $\left[K_f\right.$ for 34. Which from following is the most stable species? 35. Half life of a first order reaction is 3 minute. What is the time required to reduce the concentration of reactant by $9 36. Identify neutral amino acid from following list represented by three letter symbols. 37. Which from following statement is correct regarding emf of cell for the cell reaction, $$ \mathrm{Cd}_{(\mathrm{s})}+\ma 38. Which from following polymers when blended with cotton develops terycot? 39. Which from following compounds is an example of secondary amine? 40. Which cation from following develops least magnetic moment? 41. Identify false statement regarding aspirin. 42. Which from following compounds has highest boiling point? 43. Which of the following dopants is used in germanium to form n-type semiconductor? 44. Identify from following physical transformations that exhibits decrease in entropy. 45. "No two electrons in an atom can have the identical set of four quantum numbers." The statement is known as 46. Which among the following functional groups is reduced by diborane? 47. What it the IUPAC name of following compounds? 48. Identify the substrate ' S ' in the following reaction, 49. Propene on hydroboration followed by oxidation with alkaline peroxide forms. 50. Calculate the standard enthalpy change of following reaction. $$ \mathrm{C}_2 \mathrm{H}_{4(\mathrm{~g})}+3 \mathrm{O}_{

Mathematics

1. If $3 \sin 2 \theta=2 \sin 3 \theta$ and $0 2. The number of integral values of $k$ for which $x^2+y^2+\mathrm{k} x+(1-\mathrm{k}) y+5=0$ represents a circle whose rad 3. In a triangle ABC with usual notations if $|\overline{\mathrm{BC}}|=8,|\overline{\mathrm{CA}}|=7,|\overline{\mathrm{AB}} 4. If $\bar{a}=\hat{i}+\hat{j}, \bar{b}=2 \hat{i}-\hat{k}$ then the point of intersection of the lines $\overline{\mathrm{r 5. A scholarship amount is given by $\mathrm{z}=550 x+300 y$ and is to be distributed among $x$ boys and $y$ girls. From th 6. $$ \int \log (2+x)^{2+x} d x= $$ 7. If the projection of $\bar{a}$ on $\bar{b}+\bar{c}$ is twice the projection of $\bar{b}+\bar{c}$ on $\bar{a}$ also if $| 8. The equation of the plane passing through the point of intersection of the planes $2 x-y+z-3=0$ and $4 x-3 y+5 z+9=0$ an 9. If the points $\mathrm{A}(1,1,2), \mathrm{B}(2,1, \mathrm{p}), \mathrm{C}(1,0,3)$ and $D(2,2,0)$ are coplanar then the v 10. $$ \int \frac{\mathrm{e}^{\tan ^{-1} 2 x}}{1+4 x^2}= $$ 11. If the equation of the median through vertex $\mathrm{A}(3, \mathrm{k})$ of $\triangle \mathrm{ABC}$ with vertices $\mat 12. If $\overline{\mathrm{a}}$ and $\overline{\mathrm{b}}$ are unit vectors and $\theta$ is the angle between them, then $\t 13. A manufacturer produces $x$ items per week at a total cost of ₹ $\left(x^2+78 x+2500\right)$. The price per unit is give 14. If the equation $\mathrm{k} x y+10 x+8 y+16=0$ represents a pair of lines, then 15. If the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}+\frac{x}{y}=\frac{\mathrm{a}}{y}$ where a is constant, 16. If $2 \mathrm{f}(x)+3 \mathrm{f}\left(\frac{1}{x}\right)=x^2+1, x \neq 0$ and $y=5 x^2 \mathrm{f}(x)$, then $y$ is stric 17. The possible values of $\theta \in(0, \pi)$ such that $\sin \theta+\sin (4 \theta)+\sin (7 \theta)=0$ are 18. AOB is the positive quadrant of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$ in which $\mathrm{OA}=5, \mathrm{OB}=3$. Th 19. In a triangle ABC , the sides $\mathrm{a}, \mathrm{b}, \mathrm{c}$ are such that they are the roots of the equation $x^3 20. In a triangle ABC with usual notations if $\mathrm{a}=13$, $b=14, c=15$ Then $\sin A=$ 21. $$ \int_0^3 \frac{d x}{(x+2) \sqrt{x+1}}= $$ 22. If $2 \tan ^{-1}(\cos x)=\tan ^{-1}(2 \operatorname{cosec} x)$, then the value of $x$ is 23. The particular solution of the differential equation $\cos \left(\frac{d y}{d x}\right)=7, y=1$ at $x=0$ is 24. In a triangle $A B C$, with usual notations, $3 \mathrm{~b}=\mathrm{a}+\mathrm{c}$, then $\cot \frac{\mathrm{A}}{2} \cdo 25. $$ \int_0^{\frac{\pi}{2}} \frac{d x}{1+(\cot x)^{101}}= $$ 26. The solution of $\left(1+y^2\right)+\left(x-\mathrm{e}^{\tan ^{-1} y}\right) \frac{\mathrm{d} y}{\mathrm{~d} x}=0$ is 27. If $\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 4 \\ 1 & 3 & 4\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{a 28. The rate of reduction of a persons assets is proportional to the square root of the existing assets. The assets reduced 29. The distance of the point $(2,4,0)$ from the point of intersection of the lines $\frac{x+6}{3}=\frac{y}{2}=\frac{z+1}{1} 30. The approximate value of $\cos \left(59^{\circ} 30^{\prime}\right)$ is (given $1^{\circ}=0.0175^{\mathrm{c}}, \sin 60^{\ 31. The co-ordinates of the point where the line joining the points $(2,-3,1)$ and $(3,-4,-5)$ and intersects the plane $2 x 32. $$ \int \mathrm{e}^x \frac{(x-1)}{(x+1)^3} \mathrm{~d} x= $$ 33. If the curve $y=a x^2-6 x+b$ passes through $(0,4)$ and has its tangent parallel to the X-axis at $x=\frac{3}{2}$, then 34. The negation of $(p \wedge \sim q) \rightarrow(p \vee \sim q)$ is 35. If $\mathrm{a}\left(4+x^2\right)=x$ and $y-x^3=\mathrm{a}^2$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=1$ is $\qqu 36. The equivalent statement of "If three vertices of a triangle are represented by cube roots of unity, then the triangle i 37. $$ f(x)= \begin{cases}{\left[x^2\right]-\left[-x^2\right],} & x \neq 3 \\ k & , x=3\end{cases} $$ is continuous at $x=3$ 38. $\mathop {\lim }\limits_{x \to 0} \frac{\left(7^x-1\right)^4}{\tan \left(\frac{x}{\mathrm{k}}\right) \cdot \log \left(1+ 39. If $x^y+y^x=\mathrm{a}^{\mathrm{b}}$, then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=1, y=2$ is 40. The value of $\frac{(\cos \theta+i \sin \theta)^4}{(\sin \theta+i \cos \theta)^5}=$ where $\mathrm{i}=\sqrt{-1}$ 41. If $\mathrm{f}(x)=2 x^3+\mathrm{m} x^2-13 x+\mathrm{n}$ and 2,3 are the roots of the equation $\mathrm{f}(x)=0$ then the 42. 4 red balls and 5 green balls are selected from $n$ balls. If the sum of both the selections is greater than ${ }^{n+1} 43. Two numbers are selected at random, without replacement from the first 6 positive integers. Let $X$ denote the larger of 44. For $\mathrm{k}=1,2,3$ the box $\mathrm{B}_{\mathrm{k}}$ contains k red balls and $(k+1)$ white balls. Let $P\left(B_1\r 45. A random variable $X$ takes the values $0,1,2,3$, $\qquad$ with probability $\mathrm{P}(\mathrm{X}=x)=\mathrm{k}(x+1)\le 46. If $u=\frac{\tan ^{-1} x}{\tan ^{-1} x+1}$ and $v=\tan ^{-1}\left(\tan ^{-1} x\right)$ then $\frac{d u}{d v}=$ 47. If $\bar{a}=\frac{1}{\sqrt{10}}(3 \hat{i}+\hat{k})$ and $\bar{b}=\frac{1}{7}(2 \hat{i}+3 \hat{j}-6 \hat{k})$ then the va 48. If the line $\frac{x+1}{3}=\frac{y-k}{7}=\frac{z-4}{8}$ lies in the plane $2 x+\mathrm{p} y+7 z-41=0$ which is perpendic 49. The equations of two ellipses are $\frac{x^2}{4}+\frac{y^2}{2}=1$ and $\frac{x^2}{36}+\frac{y^2}{\mathrm{~b}^2}=1$. If t 50. A fair coin is tossed 99 times. If X is the number of times head occur then $\mathrm{P}[\mathrm{X}=\mathrm{r}]$ is maxim

Physics

1. Two raindrops reach the earth with different terminal velocities having the ratio $9: 4$. The ratio of their volumes is 2. The reading of the ammeter in the following circuit is 3. A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an 4. The density of a cube is measured by measuring its mass and length of its sides. The \% error in the measurement of mass 5. A mass attached to a spring performs S.H.M. whose displacement is $\mathrm{x}=3 \times 10^{-3} \cos 2 \pi \mathrm{t}$ me 6. If a gas is compressed isothermally then the r.m.s. velocity of its molecules 7. Three vectors are expressed as $\vec{a}=4 \hat{i}-\hat{j}, \vec{b}=-3 \hat{i}+2 \hat{j}$ and $\vec{c}=-\hat{k}$. The uni 8. Four polaroids are placed such that the optic axis of each is inclined at an angle of $30^{\circ}$ the optic axis of the 9. Two bodies A and B move in same straight line starting from same position. Body moves with constant velocity ' u ' and b 10. The ratio of angular momentum of an electron in $\mathrm{n}^{\text {th }}$ orbit of hydrogen atom to the velocity of ele 11. An element $\overrightarrow{\Delta l}=\Delta \mathrm{xi}$ is placed at the origin and carries a current of 10 A . The ma 12. In an n-p-n transistor amplifier, the collector current is 9 mA . If $90 \%$ of the electrons emitted reach the collecto 13. The closed and open organ pipe have same length and when they are vibrating simultaneously in first overtone produce 3 b 14. The following graph represents the radiant power versus wavelength of the black body. The area under the curve represent 15. An a.c. e.m.f. of peak value $=230 \mathrm{~V}$ and frequency 50 Hz is connected to a circuit with $\mathrm{R}=11.5 \Ome 16. The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased 17. A simple pendulum with bob of mass m and conducting wire of length $L$ swings under gravity through an angle $\theta$. T 18. In a cyclic process, work done by the system is 19. A metal sphere cools at a rate of $1.5^{\circ} \mathrm{C} / \mathrm{min}$ when its temperature is $80^{\circ} \mathrm{C} 20. The resultant logic gate from the combination of following gates is 21. A force acting on a body of mass 5 Kg is $(4 \hat{i}-2 \hat{j}+3 \hat{k}) \mathrm{N}$. If the body is initially at rest 22. The length of closed and open pipe is same. The ratio of frequency of $\mathrm{n}^{\text {th }}$ overtone for closed pip 23. An e.m.f. $e=E_0 \cos \omega t$ is applied to a circuit containing $L, C$ and $R$ in series where $X_L=3 R$ and $\mathrm 24. The temperature of an air bubble while rising from bottom to surface of a lake remains constant but diameter is doubled. 25. The apparent wavelength of light from a star moving away from the earth is $0.02 \%$ more than the actual wavelength. Th 26. A parallel plate air capacitor has capacitance $C_P$. It is equally filled with parallel layers of materials of dielectr 27. The change in the internal energy of the mass of gas, when the volume changes from V to 2 V at constant pressure P is $\ 28. If the length of the potentiometer wire is increased by keeping constant potential difference across the wire, then 29. A solid sphere rolling without friction on a horizontal surface with a constant speed of $2 \mathrm{~m} / \mathrm{s}$, r 30. In Young's double slit experiment with monochromatic light of wavelength 600 nm , the distance between the slits is $10^ 31. An achromatic convergent doublet of two lenses in contact has a power +2 D . The convex lens has power +5 D . The ratio 32. Two bar magnets A and B are geometrically similar but the magnetic moment of $A$ is twice that of $B$. $T_1$ is the time 33. A particle executes a linear S.H.M. In two of its positions the velocities are $\mathrm{V}_1, \mathrm{~V}_2$ and acceler 34. An ideal transformer converts 220 a.c. to 3.3 kV a.c. to transmit a power of 4.4 kW . If primary coil has 600 turns then 35. Only $4 \%$ of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is 36. In hydrogen atom spectrum, when an electron jumps from second excited state to the first excited state, the wavelength o 37. A hollow cylinder has a charge ' $q$ ' coulomb within it. If ' $\phi$ ' is the electric flux in unit of V-m associated w 38. A mass $x$ gram is suspended from a light spring. It is pulled in downward direction and released so that mass performs 39. Three inductances are connected as shown in the figure. The equivalent inductance between A and b is 40. A disc of mass ' $m$ ' and radius ' $r$ ' rolls down an inclined plane of height ' $h$ '. When it reaches the bottom of 41. The frequency of a stretched uniform wire of length $L$ under tension is in resonance with the fundamental frequency of 42. In the following circuit shown in figure, three diodes are connected each with forward resistance $40 \Omega$ and infini 43. Three concentric charged metallic spherical sheets $A, B$ and $C$ have radii $a, b, c$ potentials $V_A$, $\mathrm{V}_{\m 44. On a photosensitive material, when frequency of incident radiation is increased by $20 \%$, maximum kinetic energy of em 45. A parallel plate capacitor with plate area A and plate separation $d$ is charged by constant current $I$. A plane surfac 46. A liquid drop having surface energy $E$ is sprayed into 512 droplets of same size. The final surface energy is 47. A ray of light of intensity ' I ' is incident on a parallel glass slab at a point ' $A$ ' as shown in figure. It undergo 48. A current ' I ' is flowing in a conductor PQRST as shown in figure. The radius of curved path QRS is ' R ' and length of 49. A light of wavelength $\lambda$ is incident on a photosensitive surface of negligible work function. The photoelectrons 50. Pure water rises through a height $h$ in a capillary tube of internal radius r . Surface tension of water is T . The pre

Chemistry

Mathematics

Physics

MHT CET 2025 20th April Evening Shift

MCQ (Single Correct Answer)

-0

Pure water rises through a height $h$ in a capillary tube of internal radius r . Surface tension of water is T . The pressure difference between the water level in the container and the lowest point of the concave meniscus is

$\frac{\mathrm{r}}{\mathrm{T}}$

$\frac{\mathrm{T}}{\mathrm{r}}$

$\frac{2 T}{r}$

$\frac{\mathrm{r}}{2 \mathrm{~T}}$

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