MHT CET 2024 10th May Morning Shift | MHT CET Year Wise Previous Years Questions

Chemistry

Mathematics

1. $\int_\limits0^{\frac{\pi}{2}}|\sin x-\cos x| d x$ has the value 2. Negation of the statement "The payment will be made if and only if the work is finished in time." is 3. If $$y = {{\sin x} \over {1 + {{\cos x} \over {1 + {{\sin x} \over {1 + {{\cos x} \over {...}}}}}}}}$$, then $\frac{dy}{4. If $\quad \overline{\mathrm{a}}=\hat{\mathrm{i}}-\hat{\mathrm{k}}, \overline{\mathrm{b}}=x \hat{\mathrm{i}}+\hat{\mathrm 5. Let a line intersect the co-ordinate axes in points $A$ and $B$ such that the area of the triangle $O A B$ is 12 sq. uni 6. If for certain $x, 3 \cos x \neq 2 \sin x$, then the general solution of, $\sin ^2 x-\cos 2 x=2-\sin 2 x$, is 7. In a game, 3 coins are tossed. A person is paid ₹ 100$, if he gets all heads or all tails; and he is supposed to pay ₹ 4 8. The curve $x^4-2 x y^2+y^2+3 x-3 y=0$ cuts the X -axis at $(0,0)$ at an angle of 9. The abscissae of the two points A and B are the roots of the equation $x^2+2 a x-b^2=0$ and their ordinates are roots of 10. Water is running in a hemispherical bowl of radius 180 cm at the rate of 108 cubic decimeters per minute. How fast the w 11. $\mathrm{S}_1=\sum_\limits{\mathrm{r}=1}^{\mathrm{n}} \mathrm{r}, \mathrm{S}_2=\sum_\limits{\mathrm{r}=1}^{\mathrm{n}} \12. The numerical value of $\tan \left(2 \tan ^{-1}\left(\frac{1}{5}\right)+\frac{\pi}{4}\right)$13. Let $\bar{a}, \bar{b}$ and $\bar{c}$ be three vectors having magnitudes 1,1 and 2 respectively. If $\overline{\mathrm{a}14. Area (in sq.units) lying in the first quadrant and bounded by the circle $x^2+y^2=4$ and the lines $x=0$ and $x=2$ is 15. If $A+B=\left[\begin{array}{cc}1 & \tan \frac{\theta}{2} \\ -\tan \frac{\theta}{2} & 1\end{array}\right]$ where $A$ is s 16. If, $\int \frac{d \theta}{\cos ^2 \theta(\tan 2 \theta+\sec 2 \theta)}=\lambda \tan \theta+2 \log _{\mathrm{e}}|\mathrm{17. The domain of definition of the function $y(x)$ is given by the equation $2^x+2^y=2$, is 18. If $\cos x \frac{\mathrm{~d} y}{\mathrm{~d} x}-y \sin x=6 x, 0 19. Equation of the plane, through the points $(-1,2,-2)$ and $(-1,3,2)$ and perpendicular to $y \mathrm{z}$ - plane, is 20. The values of $a$ and $b$, so that the function $$f(x)= \begin{cases}x+\mathrm{a} \sqrt{2} \sin x & , 0 \leq x \leq \fra 21. If $\overline{\mathrm{a}}$ and $\overline{\mathrm{c}}$ are unit vectors inclined at $\frac{\pi}{3}$ with each other and 22. If the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-1}{4}$ and $\frac{x-3}{-1}=\frac{y-\mathrm{k}}{2}=\frac{\mathrm{z}}{1}23. A point moves along the arc of parabola $y=2 x^2$. Its abscissa increases uniformly at the rate of 2 units $/ \mathrm{se 24. If $\quad \int(2 x+4) \sqrt{x-1} \mathrm{~d} x=\mathrm{a}(x-1)^{\frac{5}{2}}+\mathrm{b}(x-1)^{\frac{3}{2}}+\mathrm{c}$, 25. If the angles $\mathrm{A}, \mathrm{B}$ and C of a triangle ABC are in the ratio $2: 3: 7$ respectively, then the sides a 26. The value of $\left(1+\cos \frac{\pi}{8}\right)\left(1+\cos \frac{3 \pi}{8}\right)\left(1+\cos \frac{5 \pi}{8}\right)\le 27. The value of $\tan ^{-1}\left(\tan \frac{7 \pi}{6}\right)$ is 28. In a Binomial distribution consisting of 5 independent trials, probabilities of exactly 1 and 2 successes are 0.4096 and 29. The function to be maximized is given by $Z=3 x+2 y$. The feasible region for this function is the shaded region given b 30. If the line, $\frac{x-3}{2}=\frac{y+2}{1}=\frac{z+4}{3}$ lies in the plane, $\ell x+m y-z=9$, then $\ell^2+m^2$ is equal 31. $$\int \frac{\sqrt{x}}{x+1} d x=$$32. The equation of the normal to the curve $y=x \log x$, which is parallel to the line $2 x-2 y+3=0$, is 33. $$\int \frac{1+\sin (\log x)}{1+\cos (\log x)} d x=$$34. If $\mathrm{w}=\frac{-1+i \sqrt{3}}{2}$, where $\mathrm{i}=\sqrt{-1}$, then the value of $\left(3+w+3 w^2\right)^4$ is 35. If $|\overline{\mathrm{a}}|=2,|\overline{\mathrm{~b}}|=3$ and $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ are mutuall 36. If $y$ is a function of $x$ and $\log (x+y)=2 x y$, then the value of $y^{\prime}(0)$ is 37. A random variable X has the following probability distribution .tg {border-collapse:collapse;border-spacing:0;} .tg td 38. If $y=a x^{n+1}+b x^{-n}$, then $x^2 \frac{d^2 y}{d x^2}=$39. Let $\bar{A}, \bar{B}, \bar{C}$ be vectors of lengths 3 units, 4 units, 5 units respectively. let $\bar{A}$ be perpendic 40. The approximate value of $x^3-2 x^2+3 x+2$ at $x=2.01$ is 41. The general solution of $\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{x+y+1}{x+y-1}$ is 42. There are three events $\mathrm{A}, \mathrm{B}, \mathrm{C}$, one of which must and only one can happen. The odds are 8:43. Let $\bar{a}, \bar{b}$ and $\bar{c}$ be three non-zero vectors such that no two of them are collinear and $(\overline{\m 44. If $\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi$ and $x^2+y^2+z^2+k x y z=1$, then k is 45. A radio-active substance has a half-life of h days, then its initial decay rate is given by (where radio-active substanc 46. The inverse of $p \rightarrow(q \rightarrow r)$ is logically equivalent to 47. If the line $\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$ lies in the plane $x+3 y-\alpha z+\beta=0$, then $(\alpha, \bet 48. Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3, then new varian 49. Words of length 10 are formed by using the letters A, B, C, D, E, F, G, H, I, J. Let $x$ be number of such words where n 50. $\triangle \mathrm{OAB}$ is formed by the lines $x^2-4 x y+y^2=0$ and the line $A B$. The equation of line $A B$ is $2 x

Physics

1. A particle performing S.H.M. with maximum velocity ' $V$ '. If the amplitude double and periodic time is made, $\left(\f 2. A circular arc of radius r carrying current ' I ' subtends an angle $\frac{\pi}{8}$ at its entre. The radius of a metal 3. The moment of inertia of uniform circular disc is maximum about an axis perpendicular to the disc and passing through po 4. An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The net inductanc 5. If the momentum of a body of mass ' $m$ ' is increased by $20 \%$ then its kinetic energy increases by 6. Seven capacitors each of capacitance $2 \mu \mathrm{~F}$ are connected in a configuration to obtain an effective capacit 7. An e.m.f. $E=E_0 \cos \omega t$ is applied to the $L-R$ circuit. The inductive reactance is equal to the resistance ' $R 8. The radius and mean density of the planet are four times as that of the earth. The ratio of escape velocity at the earth 9. A black sphere has radius $R$ whose rate of radiation is E at temperature T . If radius is made half and temperature 4 T 10. If the ionisation energy for the hydrogen atom is 13.6 eV , then the energy required to excite it from the ground state 11. A closed pipe containing a liquid showed a pressure $P_1$ by gauge. When the valve was opened, pressure was reduced to $12. In a diffraction pattern due to single slit of width ' $a$ ', the first minimum is observed at an angle $30^{\circ}$ whe 13. A ray of light is incident on a medium of refractive index ' $\mu$ ' at an angle of incidence ' $i$ '. On refraction in 14. The pipe open at both ends and pipe closed at one end have same length and both are vibrating in fundamental mode. Air c 15. Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is 16. In biprism experiment, if $5^{\text {th }}$ bright band with wavelength $\lambda_1$ coincides with $6^{\text {th }}$ dar 17. Ordinary bodies P and Q radiate maximum energy with wavelength difference $3 \mu \mathrm{~m}$. The absolute temperature 18. A lead bullet moving with velocity ' V ' strikes a wall and stops. If $75 \%$ of its energy is converted into heat, then 19. In photoelectric effect, the photocurrent 20. The average force applied on the wall of a closed container depends as $\mathrm{T}^{\mathrm{x}}$ where T is the temperat 21. Four electric charges $+\mathrm{q},+\mathrm{q},-\mathrm{q}$ and -q are placed in order at the corners of a square of sid 22. Electron of mass ' $m$ ' and charge ' $q$ ' is travelling with speed ' $v$ ' along a circular path of radius ' $R$ ' at 23. Two coils have a mutual inductance 0.003 H . The current changes in the first coil according to equation $I=I_0 \sin \om 24. What is the output Y in the following circuit, when all the three inputs A, B, C are first 'zero' and then 'one'? 25. Two sound waves having displacements $x_1=2 \sin (1000 \pi t)$ and $x_2=3 \sin (1006 \pi t)$, when interfere, produce 26. A completely filled water tank of height ' $h$ ' has a hole at the bottom. The total pressure of the bottom is 4 H and a 27. A series resonant circuit consists of inductor ' $L$ ' of negligible resistance and a capacitor ' $C$ ' which produces r 28. Let ' $l_1$ ' be the length of simple pendulum. Its length changes to ' $l_2$ ' to increase the periodic time by $20 \%$29. When the listener moves towards stationary source with velocity ' $\mathrm{V}_1$ ', the apparent frequency of emitted no 30. Which of the following graphs between pressure and volume correctly show isochoric process? 31. A ring and a disc roll on horizontal surface without slipping with same linear velocity. If both have same mass and tota 32. In potentiometer experiment, cells of e.m.f. $E_1$ and $E_2$ are connected in series $\left(E_1>E_2\right)$ the balancin 33. A solid metallic sphere of radius ' $R$ ' having moment of inertia '$I$' about diameter is melted and recast into a soli 34. In young's double slit experiment, the $\mathrm{n}^{\text {th }}$ maximum of wavelength $\lambda_1$ is at a distance of 35. For a particle in uniform circular motion 36. Using Bohr's model, the orbital period of electron in hydrogen atom in $\mathrm{n}^{\text {th }}$ orbit is ( $\mathrm{m}37. Initial pressure and volume of a gas are ' P ' and ' $V$ ' respectively. First its volume is expanded to ' 4 V ' by isot 38. In the following graph of flux density versus magnetizing force, coercivity and retentivity are respectively represented 39. Two identical capacitors have the same capacitance ' $C$ '. One of them is charged to potential $\mathrm{V}_1$ and other 40. A small planet is revolving around a very massive star in a circular orbit of radius ' $R$ ' with a period of revolution 41. A metal sphere of radius R, density $\rho_1$ moves with terminal velocity $\mathrm{V}_1$ through a liquid of density $\s 42. In the circuit, current flowing through the circuit is 43. Two point charges +10 q and -4 q are located at $\mathrm{x}=0$ and $\mathrm{x}=\mathrm{L}$ respectively. What is the loc 44. If the potential difference used to accelerate electrons is increased four times, by what factor does the de-Broglie wav 45. When the string is stretched between two rigid supports, under certain tension and vibrated 46. Simple microscope is used to see the object first in blue light and then a red light. Due to the change from blue to red 47. The inductive reactance of a coil is ' $R$ ' $\Omega$. If inductance of a coil is tripled and frequency of a.c supply is 48. A musical instrument X produces sound waves of frequency n and amplitude A. Another musical instrument $Y$ produces soun 49. In the block diagram of simple rectifier circuit, from a variable a.c. voltage, constant d.c. voltage is obtained. The c 50. The current in LR circuit if reduced to half What will be the energy stored in it?

MHT CET 2024 10th May Morning Shift

MCQ (Single Correct Answer)

-0

What is the shape of bromine pentafluoride?

Trigonal pyramidal

Square pyramidal

Square planar

Distorted octahedral

MHT CET 2024 10th May Morning Shift

MCQ (Single Correct Answer)

-0

What type of colloid is the soap lather?

Solid sol

Emulsion

Foam

Aerosol

MHT CET 2024 10th May Morning Shift

MCQ (Single Correct Answer)

-0

Which compound from following has highest boiling point?

$\mathrm{n}-\mathrm{C}_4 \mathrm{H}_9 \mathrm{OH}$

$\left(\mathrm{CH}_3\right)_3 \mathrm{C}-\mathrm{NH}_2$

$\mathrm{C}_2 \mathrm{H}_5 \mathrm{~N}\left(\mathrm{CH}_3\right)_2$

$\mathrm{C}_2 \mathrm{H}_5 \mathrm{COOH}$

MHT CET 2024 10th May Morning Shift

MCQ (Single Correct Answer)

-0

Which from following statements is NOT true for nucleic acids?

$5^{\prime}$ end of polynucleotide has free phosphate group.

Nucleic acids contain back bone formed of $-\mathrm{C}-\mathrm{O}-\mathrm{C}-$ linkage.

Polynucleotide has free -OH group at $3^{\prime}$ end.

Neighbouring nucleotides are bonded through phosphate diester linkage.

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