MHT CET 2019 2nd May Evening Shift | MHT CET Year Wise Previous Years Questions

Chemistry

1. The number of $\sigma$ and $\pi$-bonds in 2-formylbenzoic acid are respectively 2. The volume of 1 mole of any pure gas at standard temperature and pressure is always equal to 3. Veronal is used as a/an 4. Which of the following is also called as nitrogen sesquioxide? 5. The oxidation number of sulphur in $\mathrm{S}_8$ molecule is 6. Which among the following is a set of nucleophiles ? 7. Which of the following acts as oxidising agent in hydrogen-oxygen fuel cell ? 8. In ozone molecule the formal charge on the central oxygen atom is 9. According to Werner's theory the geometry of the complex is determined by 10. How many total constituent particles are present in simple cubic unit cell? 11. The correct representation of Nernst's equation for half-cell reaction $\mathrm{Cu}^{2+}(\mathrm{aq})+\mathrm{e}^{-} \lo 12. Which among the following is a neutral complex? 13. Identify the equation in which change in enthalpy is equal to change in internal energy 14. Limestone is used as a flux in the extraction of 15. Which among the following does not form polyhalide ion? 16. How many isomers are possible for an alkane having molecular formula $\mathrm{C}_5 \mathrm{H}_{12}$ ? 17. Which of following elements does not form amide when reacted with ammonia? 18. Two moles of an ideal gas is expanded isothermally and reversibly at 300 K from 1 L to 10 L . The enthalpy change in kJ 19. $\alpha$-chlorosodium acetate on boiling with aqueous sodium nitrite gives 20. The bond angle $\mathrm{H}-\mathrm{O}-\mathrm{O}$ in $\mathrm{H}_2 \mathrm{O}_2$ in gaseous phase is 21. How many metameric ethers are represented by the molecular formula $\mathrm{C_4H_{10}O}$ ? 22. The activation energy of a reaction is zero. Its rate constant at 280 K is $1.6 \times 10^{-6} \mathrm{~s}^{-1}$, the ra 23. Which of following metals occurs in native state? 24. Which of the following is not a broad spectrum antibiotics ? 25. The oxidation state of sulphur in $\mathrm{H}_2 \mathrm{S}_2 \mathrm{O}_7$ is 26. The reaction in which 2 molecules of chlorobenzene reacts with metallic sodium in presence of dry ether forming diphenyl 27. The percentage of unoccupied volume in simple cubic cell is 28. Isobutylene on hydroboration followed by oxidation with hydrogen peroxide in presence of base yields 29. What is the density of water vapour at boiling point of water? 30. Which of the following molecules form a Zwitter ion? 31. Which reaction is useful in exchange of halogen in alkyl chloride by iodide? 32. Propene when treated with cold conc. $\mathrm{H}_2 \mathrm{SO}_4$ forms a compound which on heating with water gives 33. Identify the amine formed when ethyltrimethyl ammonium iodide is treated with silver hydroxide and further heated strong 34. For a chemical reaction rate law is, rate $=k[A]^2[B]$. If $[A]$ is doubled at constant $[B]$, the rate of reaction 35. Which of the following is a natural polymer? 36. The monomers used in the preparation of dextron are 37. When a mixture of manganese dioxide, potassium hydroxide and potassium chlorate is fused, the product obtained is 38. In which oxidation state, group 15 elements act as Lewis base? 39. Relationship between van't Hoff's factor (i) and degree of dissociation $(\alpha)$ is 40. Which of following elements does not react with hot concentrated sulphuric acid? 41. In the reaction, $\mathrm{H}_2 \mathrm{O}_2(a q) \xrightarrow{\mathrm{I_{(aq)}^-}} \mathrm{H}_2 \mathrm{O}(I)+\frac{1}{2 42. The ionic charges of manganate and permanganate ion are respectively 43. How many gram of sodium (atomic mass $23u$) is required to prepare one mole of ethane from methyl chloride by Wurtz reac 44. The enzyme which converts maltose to glucose is 45. $$\begin{aligned} & \text { If } \mathrm{C}(s)+\mathrm{O}_2(g) \rightarrow \mathrm{CO}_2(g), \Delta H=-X \\ & \mathrm{CO 46. What is the atomicity of aluminium phosphate? 47. Which among the following compounds is obtained when ethane nitrile is acid hydrolysed? 48. Standard hydrogen electrode (SHE) is a 49. 9 gram anhydrous oxalic acid (mol. $\mathrm{wt} .=90)$ was dissolved in 9.9 moles of water. If vapour pressure of pure w 50. Which of the following sets of solutions of urea ( mol . mass $60 \mathrm{~g} \mathrm{~mol}^{-1}$ ) and sucrose ( mol .

Mathematics

1. In a bionomial distribution, mean is 18 and variance is 12 then $p=$ ........... 2. If lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-\lambda}{2}=\frac{z}{1}$ intersect each 3. The particular solution of the differential equation $\log \left(\frac{d y}{d x}\right)=x$, when $x=0, y=1$ is ......... 4. The p.d.f of a random variable $x$ is given by $$\begin{aligned} & f(x)=\frac{1}{4 a}, \quad 00) \\ & =0 \text {, otherw 5. If the function $f(x)=\frac{\left(e^{k x}-1\right) \tan k x}{4 x^2}, x \neq 0$ $$\qquad \qquad=16 \qquad x=0$$ is contin 6. The solution of the differential equation $y d x-x d y=x y d x$ is ...... 7. The maximum value of $z=6 x+8 y$ subject to $x-y \geq 0, x+3 y \leq 12, x \geq 0, y \geq 0$ is $\ldots \ldots$. 8. If $\sum_{r=1}^n(2 r+1)=440$, then $n=$ ............... 9. If $p$ and $q$ are true and $r$ and $s$ are false statements, then which of the following is true? 10. If the standard deviation of the random variable $X$ is $\sqrt{3 p q}$ and mean is $3 p$ then $E\left(x^2\right)=\ldots 11. If $f(x)=[x]$, where $[x]$ is the greatest integer not greater than $x$, then $f^{\prime}\left(1^{+}\right)=$ .......... 12. If lines represented by $$\left(1+\sin ^2 \theta\right) x^2+2 h x y+2 \sin \theta y^2=0, \theta \in[0,2 \pi]$$ are perpe 13. If $A=\{x \mid x \in N, x$ is a prime number less than $12\}$ and $B=\{x \mid x \in N, x$ is a factor of 10$\}$, then $A 14. If $R$ is the circum radius of $\triangle A B C$, then $A(\triangle A B C)=\ldots \ldots$ 15. If $A, B, C$ and $D$ are $(3,7,4),(5,-2,-3),(-4,5,6)$ and $(1,2,3)$ respectively, then the volume of the parallelopiped 16. If $(-\sqrt{2}, \sqrt{2})$ are cartesian co-ordinates of the point, then its polar co-ordinates are ......... 17. If $$\int \frac{\cos x-\sin x}{8-\sin 2 x} d x=\frac{1}{p} \log \left[\frac{3+\sin x+\cos x}{3-\sin x-\cos x}\right]+c,$ 18. If $A$ is non-singular matrix and $(A+I)(A-I)=0$ then $A+A^{-1}=$ ............. 19. Equations of planes parallel to the plane $x-2 y+2 z+4=0$ which are at a distance of one unit from the point $(1,2,3)$ a 20. The $y$-intercept of the line passing through $A(6,1)$ and perpendicular to the line $x-2 y=4$ is ........... 21. If function $$\begin{aligned} f(x) & =x-\frac{|x|}{x}, x0 \\ & =1, \quad x=0, \text { then } \end{aligned}$$ 22. In $\triangle A B C$, if $\tan A+\tan B+\tan C=6$ and $\tan A \cdot \tan B=2$ then $\tan C=$ ........... 23. If $P(6,10,10), Q(1,0,-5), R(6,-10, \lambda)$ are vertices of a triangle right angled at $Q$, then value of $\lambda$ is 24. For L.P.P, maximize $z=4 x_1+2 x_2$ subject to $3 x_1+2 x_2 \geq 9, x_1-x_2 \leq 3, x_1 \geq 0, x_2 \geq 0$ has 25. The function $f(x)=x^3-3 x$ is ............ 26. If $x=\sin \theta, y=\sin ^3 \theta$ then $\frac{d^2 y}{d x^2}$ at $\theta=\frac{\pi}{2}$ is ............ 27. The area of the region enclosed between pair of the lines $x y=0$ and the lines $x y+5 x-4 y-20=0$, is ............. 28. If three dices are thrown then the probability that the sum of the numbers on their uppermost faces to be atleast 5 is 29. If $f(x)=3 x+6, g(x)=4 x+k$ and $f \circ g(x)=g \circ f(x)$ then $k=$ 30. If the sum of an infinite GP be 9 and sum of first two terms be 5 then their common ratio is .......... 31. The negation of " $\forall, n \in N, n+7>6$ " is ............. 32. If the vectors $x \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}$ and $\hat{\mathbf{i}}+y \hat{\mathbf{j}}-z \ha 33. $$\begin{aligned} & \text { If } \int \tan (x-\alpha) \tan (x+\alpha) \cdot \tan 2 x d x \\ & =p \log |\sec 2 x|+q \log 34. Using differentiation, approximate value of $f(x)=x^2-2 x+1$ at $x=2.99$ is ............ 35. A particle moves so that $x=2+27 t-t^3$. The direction of motion reverses after moving a distance of ....... units. 36. Which of the following is not equal to $\mathbf{w} \cdot(\mathbf{u} \times \mathbf{v})$ ? 37. The value of $\sin 18^{\circ}$ is $\qquad$ 38. If the foot of the perpendicular drawn from the point $(0,0,0)$ to the plane is $(4,-2,-5)$ then the equation of the pla 39. $$\int \frac{x^2+1}{x^4-x^2+1} d x=\ldots \ldots$$ 40. If $x^y=e^{x-y}$, then $\frac{d y}{d x}$ at $x=1$ is ........... 41. If $A=\left[\begin{array}{cc}1+2 i & i \\ -i & 1-2 i\end{array}\right]$, where $i=\sqrt{-1}$, then $A(\operatorname{adj} 42. Which of the following statements is contingency? 43. $$\int_\limits a^b \frac{\sqrt{x}}{\sqrt{x}+\sqrt{a+b-x}} d x=\ldots \ldots$$ 44. The intercept on the line $y=x$ by the circle $x^2+y^2-2 x=0$ is $A B$. The equation of the circle with $A B$ as a diame 45. The equation of the circle concentric with the circle $x^2+y^2-6 x-4 y-12=0$ and touching the $Y$-axis is ............ 46. $$\int_0^1 x(1-x)^5 d x=\ldots \ldots$$ 47. If $4 \sin ^{-1} x+6 \cos ^{-1} x=3 \pi$ then $x=$ ............ 48. If $\int_0^a \sqrt{\frac{a-x}{x}} d x=\frac{K}{2}$, then $K=\ldots .$. 49. In $\triangle A B C$; with usual notations, $$\frac{b \sin B-c \sin C}{\sin (B-C)}=\ldots \ldots$$ 50. The solution of the differential equation $\frac{d \theta}{d t}=-k\left(\theta-\theta_0\right)$ where $k$ is constant, i

Physics

1. A metal surface is illuminated by light of given intensity and frequency to cause photoemission. If the intensity of ill 2. Torque acting on a rectangular coil carrying current ' $l$ ' situated parallel to magnetic field of induction ' $B$ ', h 3. A force $(F)=-5 \hat{\mathbf{i}}-7 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}$ acting on a particle causes a displacement $(s)= 4. When the electron in hydrogen atom jumps from fourth Bohr orbit to second Bohr orbit, one gets the 5. Light of wavelength ' $\lambda$ ' is incident on a single slit of width ' $a$ ' and the distance between slit and screen 6. In U.C.M., when time interval $\delta t \rightarrow 0$, the angle between change in velocity ( $\delta \mathbf{v}$ ) and 7. A stretched string fixed at both ends has ' $m$ ' nodes, then the length of the string will be 8. A particle is performing a linear simple harmonic motion of amplitude ' $A$ '. When it is midway between its mean and ex 9. Three identical rods each of mass ' $M$ ' and length ' $L$ ' are joined to form a symbol ' $H$. The moment of inertia of 10. The luminous border that surrounds the profile of a mountain just before sun rises behind it, is an example of 11. A block of mass ' $m$ ' moving on a frictionless surface at speed ' $v$ ' collides elastically with a block of same mass 12. Three point masses each of mass ' $m$ ' are kept at the corners of an equilateral triangle of side. The system rotates a 13. Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. 14. When light enters glass from vacuum, then the wavelength of light 15. Which one of the following statement is correct? 16. What is the minimum energy required to launch a satellite of mass ' $m$ ' from the surface of the earth of mass ' $M$ ' 17. A wire of length ' $L$ ' and area of cross section ' $A$ ' is made of material of Young's modulus ' $r$. It is stretched 18. In a parallel plate air capacitor the distance between plates is reduced to one fourth and the space between them is fil 19. An aircraft is moving with uniform velocity $150 \mathrm{~m} / \mathrm{s}$ in the space. If all the forces acting on it 20. In case of $p$-n junction diode, the width of depletion region is 21. In the study of transistor as an amplifier, the ratio of collector current to emitter current is 0.98 then the ratio of 22. A stretched wire of length 260 cm is set into vibrations. It is divided into three segments whose frequencies are in the 23. The force ' $F$ ' acting on a body of density ' $d$ ' are related by the relation $F=\frac{y}{\sqrt{d}}$. The dimensions 24. The magnetization of bar magnet of length 5 cm , cross sectional area $2 \mathrm{~cm}^2$ and net magnetic moment $1 \mat 25. The dimensions of self or mutual inductance are given as 26. Which of the following molecules is a polar molecule? 27. Magnetic susceptibility of a paramagnetic substance is 28. A circular coil of wire consisting of 100 turns each of radius 9 cm carries a current of 0.4 A . The magnitude of the ma 29. A simple harmonic progressive wave is represented as $y=0.03 \sin \pi(2 t-0.01 x) \mathrm{m}$. At a given instant of tim 30. The equation of state for 2 g of oxygen at a pressure ' $P$ ' and temperature ' $T$, when occupying a volume ' $V$ ' wil 31. The magnetic dipole moment of a short magnetic dipole at a distant point along the equator of magnet has a magnitude of 32. The ratio of the dimensions of Planck's constant to that of moment of inertia is the dimensions of 33. If ' $x$ ', $v$ ' and ' $a$ ' denote the displacement, velocity and acceleration of a particle respectively executing SH 34. A particle is performing U.C.M. along the circumference of a circle of diameter 50 cm with frequency 2 Hz . The accelera 35. Find the wrong statement from the following about the equation of stationary wave given by $Y=0.04 \cos (\pi x) \sin (50 36. A convex lens of focal length ' $f$ ' is placed in contact with a concave lens of the same focal length. The equivalent 37. Two light balls are suspended as shown in figure. When a stream of air passes through the space between them, the distan 38. The range of an ammeter of resistance ' $G$ can be increased from ' $I$ ' to ' $nI$ ' by connecting 39. The critical angle for light going from medium ' $x^{\prime}$ to medium ' $y$ ' is ' $\theta$ '. The speed of light in m 40. When a 12000 joule of work is done on a flywheel, its frequency of rotation increases from 10 Hz to 20 Hz . The moment o 41. A rigid body is rotating with angular velocity ' $\omega$ ' about an axis of rotation. Let $v$ ' be the linear velocity 42. In the given electrical circuit, which one of the following equations is a correct equation? In the given electrical cir 43. The maximum wavelength of radiation emitted by a star is 289.8 nm . Then intensity of radiation for the star is (Given : 44. A lift is tied with thick iron ropes having mass ' $M$ '. The maximum acceleration of the lift is ' $a$ ' $\mathrm{m} / 45. In Balmer series, wavelength of first line is ' $\lambda_1$ ' and in Brackett series wavelength of first line is ' $\lam 46. An alternating voltage is given by $E=100 \sin \left(\omega+\frac{\pi}{6}\right) \mathrm{V}$. The voltage will be maximu 47. In frequency modulated wave 48. With a resistance of ' $X$ ' in the left gap and resistance of $9 \Omega$ in the right gap of a meter bridge, the balanc 49. The excess of pressure, due to surface tension, on a spherical liquid drop of radius ' $R$ ' is proportional to 50. $\mathbf{P}$ and $\mathbf{Q}$ are two non-zero vectors inclined to each other at an angle ' $\theta$ '. ' $p$ ' and ' $q

MHT CET 2019 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

If $4 \sin ^{-1} x+6 \cos ^{-1} x=3 \pi$ then $x=$ ............

$\frac{1}{\sqrt{2}}$

$\frac{1}{2}$

$-\frac{1}{2}$

MHT CET 2019 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

If $\int_0^a \sqrt{\frac{a-x}{x}} d x=\frac{K}{2}$, then $K=\ldots .$.

$\frac{\pi a}{2}$

$\frac{5 \pi a}{2}$

$\frac{3 \pi a}{2}$

$\pi a$

MHT CET 2019 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

In $\triangle A B C$; with usual notations, $$\frac{b \sin B-c \sin C}{\sin (B-C)}=\ldots \ldots$$

$b$

$a+b+c$

$a$

$c$

MHT CET 2019 2nd May Evening Shift

MCQ (Single Correct Answer)

-0

The solution of the differential equation $\frac{d \theta}{d t}=-k\left(\theta-\theta_0\right)$ where $k$ is constant, is .............

$\theta=\theta_0+a e^{-k t}$

$\theta=\theta_0+a e^{k t}$

$\theta=2 \theta_0-a e^{k t}$

$\theta=2 \theta_0-a e^{-k t}$

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