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# VITEEE PCME Mock Test - 6

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## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 6

VITEEE PCME Mock Test - 6 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 6 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 6 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 6 below.
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VITEEE PCME Mock Test - 6 - Question 1

### Maximum slope of the curve y = -x3 + 3x2 + 9x − 27 is

VITEEE PCME Mock Test - 6 - Question 2

### The argument of complex number [(13-5i)/(4-9i)] is

VITEEE PCME Mock Test - 6 - Question 3

### The area bounded by the parabola x = 4 − y2 and the y-axis, in square units is

VITEEE PCME Mock Test - 6 - Question 4

The value of (1 + ω2+2ω)3n - (1+ω+2ω2)3n is

VITEEE PCME Mock Test - 6 - Question 5

The area bounded by the curve y=xsinx and x-axis between x=0 and x=2π is

VITEEE PCME Mock Test - 6 - Question 6

for x ≠ 1 and if f is continuous at x = 1 then f(1) =

VITEEE PCME Mock Test - 6 - Question 7

If x dy = y(dx + y dy), y > 0 and y (1) = 1, then y (-3) is equal to

VITEEE PCME Mock Test - 6 - Question 8

The solution of the equation (1+x2)(1+y)dy+(1+x)(1+y2)dx=0 is

VITEEE PCME Mock Test - 6 - Question 9

The solution of the differential equation 2xy(dy/dx) = x2+3y2 is (where c is a constant)

VITEEE PCME Mock Test - 6 - Question 10

VITEEE PCME Mock Test - 6 - Question 11

VITEEE PCME Mock Test - 6 - Question 12

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 12

VITEEE PCME Mock Test - 6 - Question 13

Integrating factor of dy/dx + y/x = x3-3 is

VITEEE PCME Mock Test - 6 - Question 14

If y = sin-1 [(1 - x2)/(1 + x2)], then (dy/dx) =

VITEEE PCME Mock Test - 6 - Question 15

f : R → R is a function defined by f(x)   = 10 x − 7. If g = f -1 then g(x) =

VITEEE PCME Mock Test - 6 - Question 16

If ∫[(1)/(1+sinx)] dx = tan((x/2)+(a)) + b, then

VITEEE PCME Mock Test - 6 - Question 17

VITEEE PCME Mock Test - 6 - Question 18

If tan-1x - tan-1y = tan-1A, then A=

VITEEE PCME Mock Test - 6 - Question 19

VITEEE PCME Mock Test - 6 - Question 20

VITEEE PCME Mock Test - 6 - Question 21

∼ [ p ↔ q ] is

VITEEE PCME Mock Test - 6 - Question 22

The inverse of

VITEEE PCME Mock Test - 6 - Question 23

Which of the following statement is false?

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 23

The determinant of skew-symmetric matrix of odd order is always zero
Therefore the inverse of skew-symmetric matrix does not exist

VITEEE PCME Mock Test - 6 - Question 24

How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?

VITEEE PCME Mock Test - 6 - Question 25

A card is drawn at random from a well shuffled pack of 52 cards. The probability of getting a heart or diamond is

VITEEE PCME Mock Test - 6 - Question 26

Each coefficients in the equation ax2+bx+c=0 is determined by throwing an ordinary die. The probability that the equation will have equal roots is

VITEEE PCME Mock Test - 6 - Question 27

Two persons A and B takes turn in throwing a pair of dice. The first person to through 9 from both dice will be avoided the prize. If A throws first, then the probability that B wins the game is

VITEEE PCME Mock Test - 6 - Question 28

If the side of a triangle are 13, 14, 15, then the radius of the incircle is

VITEEE PCME Mock Test - 6 - Question 29

The number of terms of the A.P. 3, 7, 11, 15,...to be taken so that the sum is 406 is

VITEEE PCME Mock Test - 6 - Question 30

The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :
12, 7, 15, 10, 17, 19, 25 is

VITEEE PCME Mock Test - 6 - Question 31

If the roots of 5x2 + 13x + k = 0 are reciprocal of each other, then the value of k is____

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 31

VITEEE PCME Mock Test - 6 - Question 32

The standard deviation of 25 numbers is 40. If each of the numbers is increased by 5, then the new standard deviation will be

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 32

If each item of a data is increased (or decreased) by the same quantity, the standard deviation (and the variance) is not changed.

VITEEE PCME Mock Test - 6 - Question 33

If α,β are the roots of the equation x- 2x + 4 = 0 then α+ β5=

VITEEE PCME Mock Test - 6 - Question 34

If a line makes angles α,β,γ with the +ve direction of x,y and z axis respectively, then cos2α + cos2β + cos2γ

VITEEE PCME Mock Test - 6 - Question 35

The line (x - 2)/3 = (y - 3)/4 = (z - 4)/5 is parallel to the plane

VITEEE PCME Mock Test - 6 - Question 36

If √3 cos θ − sin θ = 1 then θ =

VITEEE PCME Mock Test - 6 - Question 37

The pair of lines represented by 3ax2+ 5xy + (a2 - 2) y= 0 and at right angles to each other for

VITEEE PCME Mock Test - 6 - Question 38

A force  acts at a point A whose position vector is . If point of application of F moves from A to the point B with position vector , then work done by F is

VITEEE PCME Mock Test - 6 - Question 39

If P is any point on the hyperbola [(x - 1)2/9 - (y + 1)2/16] = 1 and S1, S2 are its foci, then |s1 P - S2 P |

VITEEE PCME Mock Test - 6 - Question 40

If a = i + 2 j + 3k, b = - i + 2 j + k and c = 3 i + j and a + tb is perpendicular to c, the value of t is

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 40

VITEEE PCME Mock Test - 6 - Question 41
The armature of D.C. motor has 20 Ω resistance. It draws current of 1.5 ampere when run by 220 volts D.C. supply. The value of back e.m.f. induced in it will be
VITEEE PCME Mock Test - 6 - Question 42

If two atoms have their atomic numbers as z1 and z2 , the ratio of the wavelengths λ1 and λ2  corresponding to their Kα lines is

VITEEE PCME Mock Test - 6 - Question 43

The de-Broglie wavelength of a particle moving with a velocity 2.25 x 108  m s-1  is equal to the wavelength of a photon. The ratio of kinetic energy of the particle to the energy of the photon is [ velocity of light = 3 x 108  m s-1]

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 43

From Compton effect
λ = h/p = c/v [From de-Broglie wavelength]
c p = h v

VITEEE PCME Mock Test - 6 - Question 44
Increasing the charge on the plates of a capacitor means
Detailed Solution for VITEEE PCME Mock Test - 6 - Question 44 C is fixed for a given capacitor.
Charge Q increases the potential V as V = Q/C
VITEEE PCME Mock Test - 6 - Question 45
In electrolysis, the amount of mass deposited or liberated at an electrode is directly propotional to
VITEEE PCME Mock Test - 6 - Question 46
Consider telecommunication through optical fibres. Which of the following statements is not correct
VITEEE PCME Mock Test - 6 - Question 47
A dry cell has an e.m.f. of 1.5 V and an internal resistance of 0.05 Ω. The maximum current obtainable from this cell, for a very short interval is
VITEEE PCME Mock Test - 6 - Question 48
Two wires of the same metal have same length, but their cross-sectional areas are in the ratio 3 : 1. If resistance of the thicker wire is 10 Ω, then total resistance of the wires in series combination will be
VITEEE PCME Mock Test - 6 - Question 49
Potential difference across the terminals of a battery is 50 V, when 11 A current is drawn. And it is 60 V, when 1 A current is drawn. The e.m.f. and internal resistance of battery is
Detailed Solution for VITEEE PCME Mock Test - 6 - Question 49 e = v + Ir
e = emf
V = potential difference
r = internal resistance
Here e = 50 + 11r .....(1)
and e = 60 + 1r .....(2)
Solving these equations (1) and (2) for e and r we get
e = 61V and r = 1 Ω
VITEEE PCME Mock Test - 6 - Question 50
A cell of internal resistance 3 ohm and emf 10 volt is connected to a uniform wire of length 500 cm and resistance 3 ohm. The potential gradient in the wire is
VITEEE PCME Mock Test - 6 - Question 51

An electron having charge e and mass m is moving in a uniform electric field E. Its acceleration will be

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 51

VITEEE PCME Mock Test - 6 - Question 52
A transformer is employed to
VITEEE PCME Mock Test - 6 - Question 53

A rectangular, a square, a circular and an elliptical loop, all in the (x - y) plane, are moving out of a uniform magnetic field with a constant velocity, V = vî . The magnetic field is directed along the negative z axis direction. The induced emf, during the passage of these loops, out of the field region, will not remain constant for:

VITEEE PCME Mock Test - 6 - Question 54
Two coils have mutual inductance of 1.5 H. If current in primary circuit is raised to 5 A in one millisecond after closing the circuit, then e.m.f. induced in the secondary circuit is
VITEEE PCME Mock Test - 6 - Question 55
Which one of the following electromagnetic radiations have the smallest wavelength?
VITEEE PCME Mock Test - 6 - Question 56
If the electric flux entering and leaving an enclosed surface respectively is φ₁ and φ₂, the electric charge inside the surface will be
VITEEE PCME Mock Test - 6 - Question 57

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

VITEEE PCME Mock Test - 6 - Question 58
A hollow metal sphere of radious 10 cm is charged such that the potential on its surface is 80V. The potential at the centre of the sphere is
VITEEE PCME Mock Test - 6 - Question 59
Figure shows a solid hemisphere with a charge of 5nC distributed uniformly through its volume. The hemisphere lies on a plane and point P is located on the plane, along a radial line from the centre of curvature at distance 15cm. The electric potential at point P due to the hemisphere is:
VITEEE PCME Mock Test - 6 - Question 60
When a body is connected to the earth, then electron from the earth, flow into the body. It means that the body is
VITEEE PCME Mock Test - 6 - Question 61

Two point charges each equal to 2μC are 0.5 m apart. If both of them exist inside vaccum, then electrostatic force between them is

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 61

VITEEE PCME Mock Test - 6 - Question 62
A galvanometer of resistance 20 Ω is to be converted into an ammeter of range 1 ampere. If a current of 1 mA produces full scale deflection, the shunt required for the purpose is
VITEEE PCME Mock Test - 6 - Question 63
Among electron, proton, neutron and $\alpha$ - particle the maximum penetration capacity is for
VITEEE PCME Mock Test - 6 - Question 64
Which is not electromagnetic wave in the following?
VITEEE PCME Mock Test - 6 - Question 65

The size of the nucleus varies as ----- power of the atomic number

VITEEE PCME Mock Test - 6 - Question 66
The work function of oxide coated tungsten emitter will be
VITEEE PCME Mock Test - 6 - Question 67
The work function of a substance is 4.0 eV. The longest wavelength of light that can cause photoelectron emission from this substance is approximately
VITEEE PCME Mock Test - 6 - Question 68
A palne mirror produces a magnification of
VITEEE PCME Mock Test - 6 - Question 69
A convex lens will become less convergent in
VITEEE PCME Mock Test - 6 - Question 70
In a transistor, the emitter-base junction and the collector-base junction are
VITEEE PCME Mock Test - 6 - Question 71
For a transistor amplifier, the voltage gain
VITEEE PCME Mock Test - 6 - Question 72
When a p - n junction diode is reverse biased, the thickness of the depletion layer
VITEEE PCME Mock Test - 6 - Question 73
A P-type semiconductor can be obtained by adding
VITEEE PCME Mock Test - 6 - Question 74
The forbidden gap in the energy bands of germanium at room temperature is about
VITEEE PCME Mock Test - 6 - Question 75
P-N junction diode can be used as
VITEEE PCME Mock Test - 6 - Question 76
In a semiconductor crystal if current flows due to breakage of crystal bonds, then the semiconductor is called
VITEEE PCME Mock Test - 6 - Question 77
A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is
VITEEE PCME Mock Test - 6 - Question 78
Huygen's wave theory of light can not explain
VITEEE PCME Mock Test - 6 - Question 79

If the two slits in Young's experiment have width ratio 1:4, the ratio of intensity at maxima and minima in the interference pattern in

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 79

VITEEE PCME Mock Test - 6 - Question 80
When exposed to sunlight, thin films of oil on water often exhibit brilliant colours due to the phenomenon of
VITEEE PCME Mock Test - 6 - Question 81

When ethanol is refluxed with conc. sulphuric acid at 160o it gives

VITEEE PCME Mock Test - 6 - Question 82

Which of the following gives iodoform on heating with a solution of l2 containing Na2CO3 ?

VITEEE PCME Mock Test - 6 - Question 83

Trioxane is trimer of

VITEEE PCME Mock Test - 6 - Question 84

How many monochlorobutanes will be obtained on chlorination of n-butane?

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 84

VITEEE PCME Mock Test - 6 - Question 85

Which of the following reactions can be used for the synthesis of an alkene

VITEEE PCME Mock Test - 6 - Question 86

Molarity of liquid HCl with density equal to 1.17 g/cc is

VITEEE PCME Mock Test - 6 - Question 87

The reaction in which sodium cyanide is used is

VITEEE PCME Mock Test - 6 - Question 88

One mole of CO₂ contains

VITEEE PCME Mock Test - 6 - Question 89

The protein which maintains blood sugar level is

VITEEE PCME Mock Test - 6 - Question 90

Acetamide and NaOBr/OH⁻ produce

VITEEE PCME Mock Test - 6 - Question 91

Which one of the following proteins transports oxygen in the blood stream?

VITEEE PCME Mock Test - 6 - Question 92

In a reaction involving ring substitution of C6H5Y, the major product is meta isomer. The group Y can be

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 92

Electron withdrawing groups favour meta substitution
- COOH group is metadirecting group

VITEEE PCME Mock Test - 6 - Question 93

The end product of protein digestion is

VITEEE PCME Mock Test - 6 - Question 94

The equilibrium constant in a reversible chemical reaction at a given temperature

VITEEE PCME Mock Test - 6 - Question 95

C + O2 → CO2 , Δ H = − 94 K cals ,
CO + 1/2O2 → CO2 , Δ H = − 67.7 K . cal.

On the basis of above data, the heat of formation of CO is

VITEEE PCME Mock Test - 6 - Question 96

Formic acid when treated with H₂SO₄ gives

VITEEE PCME Mock Test - 6 - Question 97

For the melting of a solid at 250C, the fusion process requires energy equivalent to 2906 Joules to be added to system considering the process to be reversible at fusion point, the entropy change of the process is

VITEEE PCME Mock Test - 6 - Question 98

Heat of combustion of carbon is 96k cal mol-1. When some quantity of carbon is burnt in oxygen, 48 k cal of heat is liberated. What is the volume (in lit) of oxygen at STP reacted with this carbon?

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 98

∵ 96 k cal heat is produced by 1 mol of carbon.
∴ 48 k cal heat is produced by 0.5 mol of carbon.
As 1 mol carbon reacts with 1 mol of oxygen, which has 22.4 litre volume at NTP.
∴ The volume of O2 at NTP reacts with 0.5 mol carbon = 22.4/2 = 11.2 litre.

VITEEE PCME Mock Test - 6 - Question 99

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

VITEEE PCME Mock Test - 6 - Question 100

One of the oxidants used with liquid propellants is

VITEEE PCME Mock Test - 6 - Question 101

Name of the following compound is

VITEEE PCME Mock Test - 6 - Question 102

Which one of the following is an example of octahedral complex?

VITEEE PCME Mock Test - 6 - Question 103

Which one of the following will not show geometrical isomerism?

VITEEE PCME Mock Test - 6 - Question 104

Dye test can be used to distinguish between

VITEEE PCME Mock Test - 6 - Question 105

Hydrolysis of benzonitrile gives

VITEEE PCME Mock Test - 6 - Question 106

Out of Cu, Ag, Fe and Zn, the metal which can displace all others from their salt solutions is

VITEEE PCME Mock Test - 6 - Question 107

The electrode potentials of half-cell reactions are: Zn → Zn2+ + 2e⁻ ; E = -0.76 V and Fe → Fe2+ + 2e⁻ ; E=0.41 V. The e.m.f. of the cell Fe2+ + Zn → Zn2+ + Fe is

VITEEE PCME Mock Test - 6 - Question 108

Molten CuCl2 is electrolysed using platinum electrodes. The reaction occuring at anode is .......

VITEEE PCME Mock Test - 6 - Question 109

Absolute ethyl alcohol can be converted to diethyl ether by heating it to 410 K in the presence of

VITEEE PCME Mock Test - 6 - Question 110

The most electropositive metals are isolated from their ores by

VITEEE PCME Mock Test - 6 - Question 111

50 mL of hydrogen diffuses out through a small hole of a vessel, in 20 minutes. The time taken by 40 mL of oxygen to diffuse out is

VITEEE PCME Mock Test - 6 - Question 112

Orthophosphoric acid is

VITEEE PCME Mock Test - 6 - Question 113

VITEEE PCME Mock Test - 6 - Question 114

The basicity of phosphorous acid is

VITEEE PCME Mock Test - 6 - Question 115

A crystal lattice with alternate positive and negative ions has radius ratio 0.524. Its coordination number is

Detailed Solution for VITEEE PCME Mock Test - 6 - Question 115

Radius ratio of the given crystal lattice is in the range of 0.414 - 0.732. So the coordination number is 6.

VITEEE PCME Mock Test - 6 - Question 116

Zn2+(aq) + 2e- → Zn(s). This is

VITEEE PCME Mock Test - 6 - Question 117

In the following structure

VITEEE PCME Mock Test - 6 - Question 118

A colloidal system in which gas bubbles are dispersed in liquid is known as

VITEEE PCME Mock Test - 6 - Question 119

One of the following is false for Hg ?

VITEEE PCME Mock Test - 6 - Question 120

Bell metal is an alloy of

VITEEE PCME Mock Test - 6 - Question 121

Fill in the blank with appropriate word.
I am given to.......that you are going abroad.

VITEEE PCME Mock Test - 6 - Question 122

find the synonym of OSTENTATION

VITEEE PCME Mock Test - 6 - Question 123

Find the Antonym of SUAVITY

VITEEE PCME Mock Test - 6 - Question 124

Choose the alternative which best expresses the meaning of the idiom/phrase.

Bring forth

VITEEE PCME Mock Test - 6 - Question 125

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

ANY ABLE BODIED MAN eligible for the job.

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