VITEEE PCME Mock Test - 2


125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 2


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This mock test of VITEEE PCME Mock Test - 2 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 2 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 2 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 2 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

The maximum value of sinx(1 + cos x) will be at

Solution:
QUESTION: 2

The area, in square unit, bounded by the curves y = x3, y = x2 and the ordinates x = 1, x = 2 is

Solution:
QUESTION: 3

If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, the value of arg(z₁) - arg(z₂) is

Solution:
QUESTION: 4

If n is any positive integer ,then the value of
[i(4n+1) - i(4n-1)] /2 equals

Solution:
QUESTION: 5

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QUESTION: 6

 is a singular matrix, then x =

Solution:
QUESTION: 7

 for x ≠ 5 and f is continuous at x = 5 then f(5) =

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QUESTION: 8

If x ≠ 0  , then x =

Solution:
QUESTION: 9

If the function f is defined by f(x)   = x / 1 + | x | then at what points is f differentiable

Solution:
QUESTION: 10

The differential equation for the family of curves x2 + y2 - 2ay = 0, where a is an arbitrary constant is

Solution:
QUESTION: 11

The slope of the tangent at (x,y) to a curve passing thro' a point (2,1) is x2+y2/2xy, then the eqution of the curve is

Solution:
QUESTION: 12

If x(dy/dx) = y(log y - log x + 1), then the solution of the equation is

Solution:
QUESTION: 13

The solution of differential equation (x+2y3) dy/dx = y is

Solution:
QUESTION: 14

The interval in which y=x2ex is increasing with respect to x, is

Solution:
QUESTION: 15

Let f : R → R be defined by  


Then the value of f(-1.75) + f(0.5) + f(1.5) is

Solution:
QUESTION: 16

∫secx dx=

Solution:
QUESTION: 17

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QUESTION: 18

If cot-1[(cos α)1/2] - tan-1[(cot α)1/2] = x, then sin x =

Solution:
QUESTION: 19

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QUESTION: 20

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QUESTION: 21

"If Deb and Sam go to the mall, then it is snowing."
Which statement below is logically equivalent?

Solution:

A statement is logically equivalent to its contrapositive.

QUESTION: 22

Solution:
QUESTION: 23

  and A2  = I then x =

Solution:
QUESTION: 24

Number of numbers greater than 1000 but less than 4000 that can be formed by using the digits 0, 1, 2, 3, 4 when repetition is allowed is

Solution:
QUESTION: 25

Two dice are thrown simultaneously. The probability of getting a pair of 1 is

Solution:
QUESTION: 26

In a Binomial distribution, the probability of getting a success is 1/4 and standard deviation is 3. Then its mean is

Solution:
QUESTION: 27

A and B are two independent events. P( A and B) = 1/6 and the probability that neither of them occur is 1/3 . Find the probability occurrence of A?

Solution:

Let P(A) = X and P(B) = Y;
So, P(A’) = 1 - X and P(B’) = 1 - Y
P(A and B) = P(A) x P(B) = XY = 1/6
Probability that neither of them occurs = P(A’) x P(B’) = (1 - X) x (1 - Y) = 1/3
Solving the resulting quadratic equation, we get X = 1/3 or 1/2 that is the probability of occurrence of A

QUESTION: 28

The angles of a triangle are in the ratio 3:5:10. Then the ratio of the smallest side to the greatest side is

Solution:
QUESTION: 29

112 + 122+ 132 +....+20is equal to

Solution:
QUESTION: 30

Given n = 10, ∑x = 4, ∑y = 3, ∑x2 = 8, ∑y2 = 9 and ∑xy = 3, then coefficient of correlation is

Solution:
QUESTION: 31

If each observation of a raw data, whose variance is σ2, is multiplied by λ, then the variance of new set is

Solution:
QUESTION: 32
The solution of the equation x+(1/x)=2 is
Solution:
QUESTION: 33

The roots of the equation |x2|+|x|-6=0 are

Solution:
QUESTION: 34

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

Solution:
QUESTION: 35

The radius of the circle in which the sphere x2 + y2 + z2 + 2x - 2y - 4z - 19 = 0 is cut by the plane x + 2y + 2z + 7 = 0, is

Solution:
QUESTION: 36

The general solution of tan2θ = 3 is

Solution:
QUESTION: 37

The normal to the curve x = a(1+cosθ), y = a sinθ at θ always passes through the fixed point

Solution:

Eliminating θ we get (x – a)2 + y2 = a2
Hence normal always pass through (a, 0)

QUESTION: 38

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq.units. Then the equation of the cirlce is

Solution:
QUESTION: 39

The angle between the vectors 2i+3j+k and 2i-j-k is

Solution:
QUESTION: 40

The value of c for which the angle between the vectors cxi-6j+3k, xi+2j+2cxk is obtuse is

Solution:
QUESTION: 41

In a pure inductive circuit or in an A.C. circuit containing inductance only, the current

Solution:
QUESTION: 42

Light rays of wavelengths 6000 Å and of photon intensity 39.6 watts/m2 is incident on a metal surface. If only one percent of photons incident on the surface emit photo electrons, then the number of electrons emitted per second per unit area from the surface will be [ Planck constant = 6.64 x 10-34 J − s ; Velocity of light = 3 x 108  ms-1  ]

Solution:
QUESTION: 43

A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination is

Solution:
QUESTION: 44

In connection with chemical effect of current, Faraday constant is equal to

Solution:

E ∝ z or E = Fz or F = E/z
Where E = chemical equivalent
z = electrochemical equivalent

QUESTION: 45

Intensity of X - rays in coolidge tube is controlled by

Solution:
QUESTION: 46

A laser beam is used for carrying out surgery because it

Solution:

As the laser beam is highly monochromatic, directional and coherent, it can be sharply focussed.
Therefore it is used for carrying out surgery

QUESTION: 47

Resistance in the two gaps of a meter bridge are 10 ohm and 30 ohm respectively. If the resistances are interchanged the balance point shifts by

Solution:
QUESTION: 48

A resistance R is stretched to four times its length. Its new resistance will be

Solution:
QUESTION: 49

A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the Figure, is:

Solution:
QUESTION: 50

When a current flows through a conductor its temperature

Solution:
QUESTION: 51

A photon in motion has a mass

Solution:
QUESTION: 52

In a noiseless transformer, an alternating current of 2 ampere is flowing in the primary coil. The no. of turns in the primary and secondary coils are 100 and 20 respectively. The value of the current in secondary coil is

Solution:
QUESTION: 53

In an A.C. circuit, maximum value of voltage is 423 volt. Its effective voltage is

Solution:
QUESTION: 54

Which of the following electromagnetic waves have the smallest wavelength?

Solution:
QUESTION: 55

Choke coil works on the principle of

Solution:
QUESTION: 56

A sphere S1 of radius r1 encloses a total charge Q. If there is another concentric sphere S1 of radius r 2 > r 1 and there be no additional charges between S1 and S2, the ratio of electric flux through S1 and S2 is

Solution:
QUESTION: 57

Two charges -10 C and + 10 C are placed 10cm apart. Potential at the centre of the line joining two charges is

Solution:
QUESTION: 58

Two equal print charges are fixed at x = -a and x = +a on the X axis. Another point charge Q is placed at the origin. The change in electrical potential energy of Q, when it is displaced by a small distance x along the X-axis is approximately proportional to

Solution:
QUESTION: 59

A 5 μ F capacitor is fully charged across a 12V battery. It is then disconnected from the battery and connected to an uncharged capacitor. If the voltage across the capacitor becomes 3V, the capacitance of the uncharged capacitor is

Solution:
QUESTION: 60

The electric potential V is given as a function of distance x (metre) by V = (5x2 + 10x - 9) volt. Value of electric field at x = 1m is

Solution:

V = 5x2 + 10x - 9
E = - dv / dx
= - (10x + 10)
= -(10 x 1 + 10)
= - 20 V/m

QUESTION: 61

A quatity X is given by ε0 L ΔV/Δt , where ε0 is the permittivity of free space, L is a length, ΔV is potential difference and Δt is the time interval. The dimensional formula for X is the same as that of

Solution:

0 L] = [capacitance] = [C]
∴ X = ε0L ( ΔV/Δt ) = CΔV/Δt = ΔQ/Δt = current

QUESTION: 62

A charged particle moves through a magnetic field in a direction perpendicular to it. then the

Solution:
QUESTION: 63

The average binding energy of the nucleon is

Solution:

The binding energy per nucleon of a nucleus is the binding energy divided by the total number of nucleons. Important features of the graph: Excluding the lighter nuclei, the average binding energy per nucleon is about 8 MeV.

QUESTION: 64

A radio active nucleus with mass number 'A' splits into the nuclei whose mass numbers are in the ratio 3:2, the ratio of their radii is

Solution:
QUESTION: 65

The source of stellar energy is

Solution:
QUESTION: 66

Photons of energy of 6 eV are incident on a metal surface whose work function is 4 eV. The minimum kinetic energy of the emitted photoelectrons will be

Solution:
QUESTION: 67

Which of the following pairs have linear relationship between themselves when photoelectrons are emitted from a surface :

Solution:
QUESTION: 68

In the formation of a spectrum of white light by a prism, the deviation of violet colour is

Solution:
QUESTION: 69

The majority charge carriers in p - type semiconductor are

Solution:
QUESTION: 70

Application of a forward bias to a p-n junction

Solution:
QUESTION: 71

A p-n photodiode is fabricated from a semiconductor with band gap of 2.8 eV. Which of the following wavelengths it can detect?

Solution:
QUESTION: 72

The difference in the number of wavelengths, when yellow light propagates through air and vacuum columns of the same thickness, is one. The thickness of the air column is
(Refractive index of air μ a = 1.0003 ; Wavelength of yellow light in vacuum 6000 Å )

Solution:

Let λa and λ be the wavelengths of yellow light in air and vacuum respectively and va and c be their respective speeds in air and vacuum.
Since the frequency of light is the same in both media, we have


Now, if t is the thickness of each columm, then the number of wavelengths in the two media are

QUESTION: 73

Which of the following statements is wrong?

Solution:
QUESTION: 74

A semi-conducting device is connected in a series circuit with a battery and a resistance. A current is found to pass through the circuit. If the polarity of the battery is reversed, the current drops to almost zero the device may be

Solution:
QUESTION: 75

In a P-N junction diode

Solution:
QUESTION: 76

Which of the following when added as an impurity into the silicon produces n-type semiconductor?

Solution:
QUESTION: 77

When two coherent monochromatic light beams of intensities I and 4I are superimposed, the ratio between maximum and minimum intensities in the resultant beam is

Solution:
QUESTION: 78

If Young's double slit experiment of light, interference is performed in water, which one of the following is correct?

Solution:
QUESTION: 79

The superposition principle applies to

Solution:
QUESTION: 80

If the ratio of intensities of two waves causing interference be 9:4, then the ratio of maximum and minimum intensities will be

Solution:
QUESTION: 81

3 moles of ethanol react with one mole of phosphorus tribromide to form 3 moles of bromoethane and one mole of X. Which of the following is X?

Solution:
QUESTION: 82

Benzaldehyde can be prepared by the hydrolysis of

Solution:
QUESTION: 83

Which of the following compounds does not react with NaHSO₃?

Solution:
QUESTION: 84

In nucleophilic substitution reactions, the reactivity of carbonyl compounds follows the order

Solution:
QUESTION: 85

The reaction/method that does not give an alkane is

Solution:
QUESTION: 86

Ozonolysis of C₇H₁₄ gave 2-methyl-3-pentanone toluene. The alkene is

Solution:
QUESTION: 87

The authenticity of an observation, made from an instrument depends upon its

Solution:
QUESTION: 88

Assuming full decomposition, the volume of CO₂ released at STP on heating 9.85 g of BaCO₃ (At. mass Ba = 137) will be

Solution:
QUESTION: 89

Leucine amino acids is

Solution:
QUESTION: 90

The hormone which controls the process like burning of fats, proteins and carbohydrates to liberate energy in the body is

Solution:

Thyroxine is a hormone secreted by thyroid gland.
This hormone controls various biochemical reactions involving burning of proteins carbohydrates, fats to release energy.

QUESTION: 91

Which of the following compounds is responsible for the transmission of heredity characters?

Solution:
QUESTION: 92

Which of the following compounds is formed when benzamide is warmed with bromine and alkali?

Solution:
QUESTION: 93

Formic acid when treated with H₂SO₄ gives

Solution:
QUESTION: 94

Which of the following salt can be produced by the reaction of CO and caustic soda ?

Solution:
QUESTION: 95

A glass bulb is filled with NO₂ gas and immersed in an ice bath at 00C which becomes colourless after some time . This colourless gas will be

Solution:
QUESTION: 96

The rate, at which a substance reacts at constant temperature, depends upon its

Solution:
QUESTION: 97

One mole of an ideal gas at 300 K is expanded isothermally from an initial volume of 1 litre to 10 litres. The ΔE for this process is (R = 2 cal.K-1 mol-1)

Solution:

For isothermal reversible expansion of an ideal gas
W = - 2.303n RT log V2/V1  
= - 2.303 x 1 x 2 x 300 log 10/1 (log 10 = 1)
= - 2.303 x 2 x 300 = - 1381.8 Cal
[R = 2 Cal mol-1 K-1, T = 300 K]
As ΔE = q + W (1st law of thermodynamics)
For isothermal process q = - W
So ΔE = - W + W = 0
For an isothermal change ΔE = 0
(Since internal energy is a function of temp and in an isothermal process temp remains constant)

QUESTION: 98

An endothermic reaction is one in which

Solution:
QUESTION: 99

In which one the following reactions does the heat change represents the heat of formation of water

Solution:
QUESTION: 100

A drug that is antipyretic as well as analgesic is

Solution:
QUESTION: 101

The arrangement of hydrogen atoms around carbon in the methane molecule is

Solution:
QUESTION: 102

Considering H₂O as a weak field ligand, the number of unpaired electrons in [Mn(H₂O)₆]2+ will be (At no.Mn=25)

Solution:
QUESTION: 103

In the presence of acid, the hydrolysis of methyl cyanide gives

Solution:
QUESTION: 104

The oxidation state of copper in the above complex is

Solution:

O.N. of Cu in [Cu (NH3)4] SO4 is +2.

QUESTION: 105

Hinsberg reagent is

Solution:
QUESTION: 106

Which of the following shows maximum no. of oxidation states?

Solution:
QUESTION: 107

The specific conductance of a 0.1 N KCl solution at 230C is 0.012 ohm⁻1 cm⁻1. The resistance of cell containing the solution at the same temperature was found to be 55 ohm. The cell constant will be

Solution:
QUESTION: 108

Standard electrode potentials are Fe2+∕Fe (E0 = -0.44) Fe3+∕Fe2+(E0 = 0.77) Fe2+, Fe3+ and Fe blocks are kept together, then

Solution:
QUESTION: 109

Ether is obtained from ethyl alcohol

Solution:
QUESTION: 110

The natural materials from which an element can be extracted economically are called

Solution:
QUESTION: 111

At constant temperature, in a given mass of an ideal gas

Solution:
QUESTION: 112

Which of the following has no tin in its composition?

Solution:
QUESTION: 113

In nitrogen family, the H-M-H bond angle in the hydrides gradually becomes closer to 90o on going from N to Sb. This shows that gradually

Solution:
QUESTION: 114

White phosphorus is

Solution:
QUESTION: 115

SnCl₂ gives a precipitate with a solution of HgCl₂. In this process HgCl₂ is

Solution:
QUESTION: 116

Space lattice of CaF₂ is

Solution:
QUESTION: 117

Types of geometrical isomerism shown at the points x, y and z of the following compound are respectively:

Solution:
QUESTION: 118

The CMC is the concentration at which

Solution:
QUESTION: 119

Both acid and base may react with which of the following oxides?

Solution:
QUESTION: 120

Most common oxidation states shown by cerium are

Solution:
QUESTION: 121

Find the antonym of ANTIPATHY

Solution:
QUESTION: 122

Fill in the blank with appropriate word.
He is working under such........conditions that it is difficult to maintain his self-respect.

Solution:
QUESTION: 123

Find the Syonym of ABSOLUTE

Solution:
QUESTION: 124

Improve the sentence by choosing best alternative for capitalised part of the sentence.

It was SHE NOT ME who put forth the attractive proposition.

Solution:
QUESTION: 125

Out of the given alternatives, choose the one which can be substituted for the given capitalised word.

The rebels HELD OUT for about a month.

Solution:

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