MHT CET 2025 23rd April Morning Shift | MHT CET Year Wise Previous Years Questions

Chemistry

1. Which among the following salts forms basic solution in water? 2. Identify product ' B ' in the following sequence of reactions. $$ \text { 1,2-Dibromoethane } \xrightarrow[\text { alcoh 3. Identify the reagent R necessary to bring the following conversion. 4. Which from following reactions is exothermic? 5. Calculate the number of atoms in 1 g metal if it forms fcc crystal structure. $\left[\rho \times \mathrm{a}^3=1.728 \tim 6. Which among the following ligands has highest field strength? 7. What is the number of moles of hydrogen atoms required to reduce one mole of nitroethane completely using Sn and HCl ? 8. Find the rate of following reaction. $$ 2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \longrightarrow 4 \mathrm{NO}_{2(\ma 9. Identify correct statement for reaction stated below. $$ \mathrm{Ag}_2 \mathrm{O}+\mathrm{H}_2 \mathrm{O}+2 \mathrm{e}^{ 10. Which of the following inert gases is used for magnetic resonance imaging? 11. A weak base is $5 \%$ dissociated in its 0.01 M solution. Calculate the dissociation constant. 12. Which of the following compounds forms 1-bromo-1-methylcyclohexane when treated with HBr ? 13. $$ \text { Identify substrate ' } S \text { ' in the following reaction. } $$ $$ \mathrm{S} \xrightarrow{\text { Dimethy 14. Calculate work done in isothermal reversible expansion of 1 mole ideal gas from initial pressure 10 bar to final pressur 15. Calculate the volume occupied by all particles in bcc unit cell if the volume of unit cell is $8.0 \times 10^{-23} \math 16. What is EAN of metal ion in hexacyanoferrate (II) ion? 17. What is the total number of -OH groups present in ribonucleoside? 18. The rate constant of a first order reaction is $1.15 \times 10^{-3} \mathrm{~s}^{-1}$. How long will 5 g of reactant tak 19. Identify the element forming peroxide on reaction with oxygen. 20. Consider galvanic cell, ${ }^{\ominus} \mathrm{A}_{(\mathrm{s})}\left|\mathrm{A}_{(\mathrm{aq})}^{+2}\right|\left|\mathr 21. Solubility of binary sparingly soluble salt is $1.12 \times 10^{-4} \mathrm{~g} / \mathrm{dm}^3$. Calculate its solubili 22. Identify the product ' Z ' in the following series of reactions. 23. Which of the following has highest solubility in water? 24. Calculate the standard enthalpy change for reaction, $$ \begin{aligned} & \mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}_{(l)}+3 25. Determine the expected value of $\Delta T_f$ for $1 \mathrm{~m} \mathrm{CaCl}_2$ solution if 1 m urea solution has $\Del 26. What is the medicinal property of Eugenol? 27. What type of glycosidic linkages are present in cellulose? 28. Find the value of spin only magnetic moment for $\mathrm{Zn}^{2+}$ in BM. 29. Which from following is classified multimolecular colloid? 30. Standard potential of electrode reaction $\mathrm{Cu}_{(\mathrm{aq})}^{+2}+2 \mathrm{e}^{-} \longrightarrow \mathrm{Cu}_ 31. A container contains equal masses of $\mathrm{H}_2, \mathrm{He}$, $\mathrm{CO}_2$ and Ne at a certain temperature. Which 32. The reaction of aryl halide with sodium metal in dry ether to give biphenyl is known as 33. Identify the final product obtained when ${ }^a$ mixture of vapours of phenol and hydrogen is passed over nickel catalys 34. What is the numerical value of angular momentum for an electron in first orbit of hydrogen atom? ( $\mathrm{h}=6.626 \ti 35. Calculate van't Hoff factor of aqueous solution of 0.18 m electrolyte that freezes at $-0.54^{\circ} \mathrm{C}$. $\left 36. What is the molar mass of third homologue of alkane series? 37. Which from following polymers is used to obtain oil seals? 38. Which element from following has largest ionic size in +3 state? 39. Identify the principle suggesting to avoid protection and deprotection of selective group for organic reactions in green 40. What is value of $E_{\text {cell }}$ at 298 K for the reaction, $\mathrm{Zn}_{(\mathrm{s})}+\mathrm{Cu}^{+2}(0.1 \mathrm 41. Which of the following compounds has high lattice enthalpy? 42. Which among the following is a pair of functional isomers? 43. Which among the following compounds has highest boiling point? 44. Calculate the molality of solution of nonvolatile solute if boiling point elevation is 1.75 K . [ $\mathrm{K}_{\mathrm{b 45. Which from following pair of compounds exhibits isomorphism? 46. What are the monomers used in preparation of PHBV? 47. Which from following is a correct increasing order of basic strength of compounds? 48. Which of the following is an example of first order reaction? 49. What is the number of moles present in $1 \mathrm{~m}^3$ of any gas at STP? 50. Identify from following compounds where valence shell of 'Xe' consists one lone pair of electrons.

Mathematics

1. A fair coin is tossed 100 times. The chance of getting a head even number of times is 2. Let $\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}, \overline{\mathrm{d}}$ are vectors such that $ 3. In $\triangle \mathrm{ABC}$, with usual notations, if $\cos \frac{B}{2}=\sqrt{\frac{c+a}{2 a}}$, then $a^2=$ 4. The joint equation of two lines passing through $(-2,3)$ and parallel to the bisectors of the angle between the co-ordin 5. Let the circle with centre at origin pass through the vertices of an equilateral triangle ABC . If $A \equiv(2,4)$, then 6. Let $\bar{a}=\hat{i}+\hat{j}+\hat{k}, \bar{b}$ and $\bar{c}=\hat{j}-\hat{k}$ be three vectors such that $\overline{\math 7. The distance of the point $(1,2)$ from the line $x+y=0$ measured parallel to the line $3 x-y=2$ is 8. $$ \mathop {\lim }\limits_{x \to 2} \frac{x+3 x^2+5 x^3+7 x^4-166}{x-2}= $$ 9. If $\mathrm{f}(x)=\frac{10^x+7^x-14^x-5^x}{1-\cos x}, x \neq 0$ is continuous at $x=0$, then the value of $\mathrm{f}(0) 10. If A and B are non-singular matrices of order 2 such that $\quad(A B)^{-1}=\frac{1}{6}\left[\begin{array}{cc}-1 & -3 \\ 11. If $\sin \mathrm{A}+\sin \mathrm{B}=x$ and $\cos \mathrm{A}+\cos \mathrm{B}=y$, then $\sin (A+B)=$ 12. Let mean and standard deviation of probability distribution $$ \begin{array}{|c|c|c|c|c|} \hline \mathrm{X}=x & -3 & 0 & 13. In a game a man wins $Rs \,\, 40$ if he gets 5 or 6 on a throw of a fair die and loses ₹ 20 for getting any other number 14. The rate at which a substance cools in moving air, is proportional to the difference between the temperature of the subs 15. If $x \frac{\mathrm{~d} y}{\mathrm{~d} x}=y(\log y-\log x+1)$, then the solution of the equation is 16. The order and degree of the differential equation $\sqrt{\frac{\mathrm{d} y}{\mathrm{~d} x}}-4 \frac{\mathrm{~d} y}{\mat 17. The differential equation of all circles touching the Y -axis at the origin and centre on the X -axis is 18. The area bounded by the curve $x^2=8 y$ and the straight line $x-8 y+2=0$ is 19. In a triangle ABC with usual notations, $\cot \frac{\mathrm{A}}{2}+\cot \frac{\mathrm{B}}{2}+\cot \frac{\mathrm{C}}{2}=$ 20. The area of the rectangle having vertices $\mathrm{P}, \quad \mathrm{Q}, \quad \mathrm{R}, \quad \mathrm{S}$ with positi 21. The value of $\int_0^1 \tan ^{-1}\left(1-x+x^2\right) \mathrm{d} x$ is 22. $$ \int_3^5 \frac{\sqrt{x} \mathrm{~d} x}{\sqrt{8-x}+\sqrt{x}}= $$ 23. $$ \int \frac{\mathrm{d} x}{\sqrt{x}+x}= $$ 24. With usual notations, in $\triangle \mathrm{ABC}$, the lengths of two sides are 10 cm and 9 cm respectively. If angles $ 25. $$ \int \frac{\mathrm{d} x}{\mathrm{e}^x-1}= $$ 26. The maximum value of $x^{2 / 3}+(x-2)^{2 / 3}$ is 27. $$ \int\left(\frac{x-3}{x^2+9}\right)^2 d x= $$ 28. The point on the curve $4 y^2-4 y+2 x-1=0$ at which the tangent becomes parallel to Y -axis is 29. The value of $\tan ^2\left(\sec ^{-1} 4\right)+\cot ^2\left(\operatorname{cosec}^{-1} 3\right)$ is 30. In a triangle ABC , with usual notations, if $\mathrm{a}=5, \mathrm{~b}=4, \cos (\mathrm{~A}-\mathrm{B})=\frac{31}{32}$, 31. Which of the following is the negation of the statement " For all M>0, there exist $x \in \mathrm{~s}$ such that $x \ 32. The equation of the line passing through the point of intersection of $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\ 33. A particle moves along a curve $y=\frac{2 x^3-1}{3}$. The points on the curve at which the $y$ co-ordinate is changing 1 34. The equation of motion of the particle is $\mathrm{s}=\mathrm{at}^2+\mathrm{bt}+\mathrm{c}$. If the displacement after 1 35. If $y=\tan ^{-1}\left[\frac{4 \sin 2 x}{\cos 2 x-6 \sin ^2 x}\right]$, then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=0 36. If $x=a \sin 2 t(1+\cos 2 t), y=b \cos 2 t(1-\cos 2 t)$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ is equal to 37. The contrapositive of the statement $\sim p \vee(q \wedge \sim r)$ is 38. If the lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-\mathrm{k}}{2}=\frac{\mathrm{z}}{1}$ 39. If $y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+\ldots \ldots \ldots \ldots \ldots \ldots . \infty}}}}$, then $\frac{\mathrm{d} y} 40. The graph with correct feasible region of L.P.P. for the constraints $2 x+y \leqslant 10, y \leqslant x, y \leqslant 2, 41. The distance of the point $\mathrm{P}(3,4,4)$ from the point of intersection of the line joining the points $\mathrm{Q}( 42. If $\mathrm{f}(x)=3 x+10, \mathrm{~g}(x)=x^2-1$, then $(\mathrm{fog})^{-1}(x)=$ 43. A family consisting of a mother, father and their 8 children ( 4 boys and 4 girls) are to be seated at a round table in 44. If $\bar{a}, \bar{b}, \bar{c}$ are three vectors such that $|\overrightarrow{\mathrm{a}}|=\sqrt{31}, 4|\overrightarrow{\ 45. Let $\bar{a}=2 \hat{i}+\hat{j}+\hat{k}, \bar{b}=\hat{i}+2 \hat{j}-\hat{k}$ and vector $\bar{c}$ be coplanar. If $\bar{c} 46. If $x=-2+\sqrt{-3}$, then the value of $2 x^4+5 x^3+7 x^2-x+38$ is equal to 47. Bag I contains 3 red and 2 green balls and Bag II contains 5 red and 3 green balls. A ball is drawn from one of the bag 48. If the tangent at the point $(2 \sec \theta, 3 \tan \theta)$ to the hyperbola $\frac{x^2}{4}-\frac{y^2}{9}=1$ is paralle 49. The equation of the plane containing the line $\frac{x}{1}=\frac{y}{2}=\frac{z}{3}$ and perpendicular to the plane conta 50. The equation of the plane containing the line $\frac{x+1}{2}=\frac{y+2}{1}=\frac{z-2}{3}$ and the point $(1,-1,3)$ is

Physics

1. Which of the following statements is TRUE for n-type semiconductor? 2. When a current in the conducting coil is changed from 5 A in one direction to 5 A in opposite direction in 0.5 second, a 3. The electric field intensity near a conducting surface having uniform surface charge density ' $\sigma$ ' is given by ( 4. The excess pressure inside first soap bubble is three times that of a second soap bubble. The ratio of volumes of the fi 5. A particle performs S.H.M. of amplitude 'A' and wavelength ' $\lambda$ ', Then the velocity of the wave (V) and the maxi 6. The figure shows two masses ' $m$ ' and ' $M$ ' connected by a light string that passes through ${ }_a$ small hole ' $O$ 7. A regular hexagon of side 6 cm has a charge of $2 \mu \mathrm{C}$ at each of its vertices, what is the potential at the 8. For two different photosensitive materials having work function $\phi$ and $2 \phi$ respectively, are illuminated with l 9. The weight of man in a stationary lift is $w_1$ and when it is moving downwards with uniform acceleration ' a ' is $\mat 10. The activity of radioactive sample is measured as $\mathrm{N}_0$ counts per minute at time $\mathrm{t}=0$, and $\frac{\m 11. Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously with tensio 12. How much should the pressure be increased in order to reduce the volume of a given mass of gas by $5 \%$ at the constant 13. In Young's double slit experiment the wavelength of light used is $6000 \mathop {\rm{A}}\limits^{\rm{o}}$, the screen is 14. A square coil ABCD of side ' L ' is carrying a current in clockwise direction. A straight conductor carrying current $\m 15. In a common emitter transistor amplifier circuit, the current gain $\alpha=0.8$. If the base current changes by $3 \mu \ 16. A ray of light is incident on first face of an equilateral glass prism at an angle of incidence ' $I$ '. The emergent ra 17. In hydrogen atom, the energy of electron in first and third orbit is ' $E_1$ ' and' $E_3$ ' respectively. If $E_3=x E_1$ 18. Figure shows the north pole of a magnet moving away from a thick conducting loop containing a capacitor. The excess posi 19. An observer moves towards a stationary source of sound with a velocity of one fifth of the velocity of sound. The percen 20. An a. c. source is connected across a pure inductor. Which one of the following figures shows the correct phase relation 21. A disc of paper of radius ' $R$ ' has a hole of radius ' $r$ '. It is floating on a liquid of surface tension ' T '. The 22. Two tuning forks when sounded together produce 4 beats per second. One of the forks is in unison with 23 cm length of so 23. Let the speed of light and the polarising angle for a given medium be ' $V$ ' and ' $i_p$ ' respectively. The relation b 24. The equivalent resistance of the following circuit when no current flows in the resistance of $5 \Omega$ is nearly 25. In the case of common emitter transistor amplifier, the ratio of collector current to emitter current is 0.96 , then the 26. Which of the following comes under the category of random errors? 27. The energy that should be added to an electron to reduce its de-Broglie wavelength from $\lambda$ to $\frac{\lambda}{2}$ 28. In an a.c. circuit with pure capacitance ' C ' and a.c. source $E=E_0 \sin \omega t$, the equation of instantaneous curr 29. Radius of curved road is ' $R$ ', width of road is ' $b$ '. The outer edge of road is raised by ' $h$ ' with respect to 30. A polyatomic gas is compressed to $\left(\frac{1}{8}\right)^{\text {th }}$ of its volume adiabatically. If its initial p 31. A particle is executing linear S.H.M. starting from mean position. The ratio of the kinetic energy to the potential ener 32. A parallel plate air capacitor has capacity ' $C$ ' and distance of separation between plates is ' $d$ '. If a conductin 33. A uniform solid sphere of mass ' $m$ ' and radius ' r ' is surrounded by a uniform thin spherical shell of radius ' $2 r 34. A current of 5 A is flowing at 220 V in a primary coil of a transformer. If the voltage produced in the secondary coil i 35. The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment ( M 36. A pipe open at both ends produces a fundamental frequency $n_1$. When the pipe is kept with $\frac{3^{\text {th }}}{4}$ 37. A wind with speed $50 \mathrm{~m} / \mathrm{s}$ blows parallel to the roof of a house. The area of the roof is $300 \mat 38. The pressure ' P ', volume ' V ' and temperature ' T ' of a gas in a jar ' $A$ ' and the gas in other jar ' $B$ ' is at 39. Let the current ' $I$ ' be associated with an electron of charge ' $e$ ' moving in a circular orbit of radius ' $r$ ' wi 40. Figure shows the combination of inductances and capacitances. Resonant frequency of the $\mathrm{L}-\mathrm{C}$ circuit 41. Three equal charges are placed on the three corners of a square as shown below. If the magnitude of force between ' $\ma 42. Two bodies of mass 10 kg and 5 kg are moving in concentric circular orbits of radii ' R ' and ' r ' respectively such th 43. Two moles of an ideal monoatomic gas undergo a cyclic process as shown in figure. The temperatures in different states a 44. The amplitude of a damped oscillator becomes $\left(\frac{1}{3}\right)^{\mathrm{rd}}$ of original amplitude in 2 seconds 45. In the following circuit, the current through $6 \Omega$ resistor is 46. If $\vec{P}=b \hat{i}+6 \hat{j}+\hat{k} \quad$ and $\quad \vec{Q}=\hat{i}-a \hat{j}+4 \hat{k} \quad$ are perpendicular t 47. Two polaroids are oriented with their planes perpendicular to incident light and transmission axis making an angle $30^{ 48. The acceleration (a) - time (T) graph for the body starting from rest is given below. The maximum speed of the body is 49. Two spherical black bodies have radii ' $R_1$ ' and ' $R_2$ '. Their surface temperatures are $T_1 K$ and $T_2 K$ respec 50. A thermometer bulb has volume $10^{-6} \mathrm{~m}^3$ and cross-section of the stem is $0.002 \mathrm{~cm}^2$. The bulb

Chemistry

Mathematics

Physics

MHT CET 2025 23rd April Morning Shift

MCQ (Single Correct Answer)

-0

A thermometer bulb has volume $10^{-6} \mathrm{~m}^3$ and cross-section of the stem is $0.002 \mathrm{~cm}^2$. The bulb is filled with mercury at $0^{\circ} \mathrm{C}$. If the thermometer reads temperature as $100^{\circ} \mathrm{C}$, then the length of mercury column is (coefficient of cubical expansion of mercury $=18 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ )

90 cm

9 mm

9 cm

0.9 mm