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This mock test of VITEEE PCME Mock Test - 11 for JEE helps you for every JEE entrance exam.
This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 11 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

With a given surface area, the volume of a right circular cylinder will be maximum if height is

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QUESTION: 2

The smaller area enclosed by the circle x^{2} + y^{2} = 9 and the line x = 1 is

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QUESTION: 3

The function f(x) = tan x/x for x ≠ 0 ; f (0) = 1 at *x* = 0 is

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QUESTION: 4

If *n* is not a multiple of 3 then ω^{n} + ω^{2n} =

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QUESTION: 5

If 1 , ω , ω^{2} , … ω^{n-1} are the n, nth roots of unity and z_{1} and z_{2} are any two, complex numbers, then

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QUESTION: 6

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QUESTION: 7

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QUESTION: 8

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QUESTION: 9

For solving dy/dx=4x+y+1 suitable substitution is

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QUESTION: 10

The solution of the equation cosx cosy (dy/dx)=-sinx siny is

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QUESTION: 11

The differential equation of family of lines which passes (1,-1) is

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QUESTION: 12

If f : R → R is defined by f x = 2 x + | x | then f (3x) − f (-x) − 4 x =

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QUESTION: 13

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QUESTION: 14

If f(x) = e ^{-1}/x^{2} , x ≠ 0, and f(0) = 0 then f ′(0) is

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QUESTION: 15

y = A e^{x }+ B e^{2x} + C e^{3x }satisfies the diferential equation

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QUESTION: 16

∫logx dx =

Solution:

= x log x − ∫ d x + c

= x log x − x + c

QUESTION: 17

∫[(1)/(4x^{2}+9)]dx =

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QUESTION: 18

If sin^{-1}x − cos^{-1}x = π/6 , then x =

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QUESTION: 19

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QUESTION: 20

if f : R→R be such that f(1) = 4 and f^{'}(1) = 12 then

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QUESTION: 21

If A and B are two matrices such that AB = B and BA = A, then A^{2}+ B^{2} =

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QUESTION: 22

∼ [ p ∧ q → ∼ p ∨ q ] is

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QUESTION: 23

In how many ways can 4 boys and 3 girls be seated in a row of 7 chairs if the boys and girls alternate?

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QUESTION: 24

If A is a non-singular, then adj A is

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QUESTION: 25

When two dice are thrown, the probability of getting the sum 10 or 11 is

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QUESTION: 26

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. The probability that it is actually a six is

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QUESTION: 27

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is

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QUESTION: 28

If m is a root of the equation (1 - ab) x^{2} - (a^{2} + b^{2})x - (1 + ab) = 0, and m harmonic means are inserted between a and b, then the difference between the last and the first of the means equals

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QUESTION: 29

In a Δ A B C , 2s = perimeter and R = circumradius. Then s/R is equal to

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= sin A + sin B + sin C .

QUESTION: 30

The coefficient of correlation r satisfies

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QUESTION: 31

The harmonic mean of 4,8,16 is

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QUESTION: 32

The roots of the equation (q-r)x^{2 }+ (r-p)x + (p-q)=0 are

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QUESTION: 33

If α , β , γ are the roots of x^{3} − 2 x^{2} + 3x − 4 = 0, then the value of α ^{2}β^{2} + β^{2}γ^{2}+ γ^{2}α ^{2} is

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QUESTION: 34

The distance between the parallel planes x + 2y - 3z = 2 and 2x + 4y - 6z + 7 = 0 is

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QUESTION: 35

Lines OA, OB are drawn from 0 with directions cosines proportional to < 1, -2, -1 > ans < 3, -2, 3 > respectively. The direction ratios of the normal to the plane AOB are

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QUESTION: 36

If 5cos2θ+2cos^{2}(θ/2)+1=0, -π<θ<π, then θ=

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QUESTION: 37

The equation of the parabola whose focus is (1,-1)and directrix is x + y + 7 = 0 is

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QUESTION: 38

If the straight lines x = 1 + s, y = -3 - λs, z = 1 + λs and x = t/2, y = 1 + t, z = 2 - t, with parameters s and t respectively, are co-planar, then λ equals

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QUESTION: 39

A force of magnitude 5 units along the vector 2 î − 2j^{^} + k^{^} displaces the point of application from (1,2,3) to (5,3,7), then the work done is

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QUESTION: 40

If axb = cxb = 0, then

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QUESTION: 41

The time constant of an LR circuit represents the time in which the current in the circuit

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QUESTION: 42

The work function of Potassium is 2.0 eV. When it is illuminated by light of wavelength 3300 A^{0} photoelectrons are emitted. The stopping potential of photoelectrons is

Solution:

λ = 3300 A^{0} = 330 nm

hu = 1240 330 = 3.757

eV_{0} = hu - W = 3.757 - 2 = 1.757eV

⇒ V_{0} = 1.757 V

QUESTION: 43

X - rays are

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QUESTION: 44

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be:

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QUESTION: 45

The electrochemical equivalent of magnesium is 0.126 mg/C. A current of 5 A is passed in a suitable solution for one hour. The mass of the magnesium deposited will be

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QUESTION: 46

Optical fibres uses the phenomenon of

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QUESTION: 47

If the resistance of a conductor is 5 Ω at 50^{o}C and 7 Ω at 100^{o}C, then the mean temperature coefficient of resistance of the material is

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QUESTION: 48

The electric intensity E, current density j and specific resistance k are related to each other by the relation

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QUESTION: 49

In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is

Solution:

QUESTION: 50

Two resistances R₁ and R₂ are made of different materials. The temperature coefficient of the material of R₁ is α and of the material of R₂ is −β. The resistance of the series combination of R₁ and R₂ will not change with temperature, if R₁/R₂ equals

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QUESTION: 51

Gases begin to conduct electricity at low pressure because

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QUESTION: 52

The primary and secondary coils of a transformer have 50 and 1500 turns respectively. If the magnetic flux φ linked with the primary coil is given by φ = φ _{0} + 4t, where φ is in weber, t is time in second and φ _{0} is a constant, the output voltage across the secondary coil is

Solution:

No. of turns across primary N_{p} = 50

Number of turns across secondary N_{s} = 1500

Magnetic flux linked with primary, Φ = Φ_{0} + 4t

∴ Voltage across the primary,

V_{p} = dΦ /dt = d/dt (Φ_{0} + 4t) = 4 volt

Aslo, Vs /Vp = Ns /Np

∴ V_{s} = ( 1500/50 ) x 4 = 120 V

QUESTION: 53

At resonance, in a series LCR circuit, which relation does not hold

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QUESTION: 54

Maxwell in his famous equation of electromagnetism introduced the concept of

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QUESTION: 55

A solenoid of length 20 cm area of cross-section 4 cm^{2} and having 4000 turns is placed inside another solenoid of 2000 turns having a cross-section area 8 cm^{2} and length 10 cm. The mutual inductance of the system is

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QUESTION: 56

A charge is placed at the centre of a cube, the flux emitted through its one face is

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QUESTION: 57

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

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QUESTION: 58

Two equal charges, q each are placed at a distance of 2a, and a third charge -2q is placed at the mid point. The potential energy of the system is

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QUESTION: 59

The capacities of three capacitors are in ratio 1 : 2 : 3. Their equivalent capacity when connected in parallel is 60/11 μ F more than that when they are connected in series. The individual capacities of capacitors in μ F are

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QUESTION: 60

Two insulated matallic spheres of 3 μ F and 5 μ F are charged to 300V and 500V respectively. The energy loss when they are connected by a wires is...

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QUESTION: 61

Half life period of lead is

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QUESTION: 62

A long copper pipe carries a current. Then the magnetic field is

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QUESTION: 63

In the following reaction the energy released is 4 _{1}H^{1} → _{2}He^{4} + 2 _{+1}e^{0} + energy

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QUESTION: 64

An infinite number of identical capacitors, each of capacitance 1 μ F, are connected as in the figure. The equivalent capacitance between 'A' and 'B' is

Solution:

Rows contain capacitors 1, 1/2 , 1/4 , 1/8 ... μF

All in parallel. Therefore effective capacity

C = 1 + 1/2 + 1/4 + 1/16 + ...

It is a Geometrical progression with common ratio 1/2

So C = 1/(1 - 1/2 ) = 2 μF

QUESTION: 65

When P_{15}^{30} decays to become Si_{14}^{30} the particle released is

Solution:

QUESTION: 66

When the light source is kept 20 cm away from a photocell, stopping potential is 0.6 V is obtained. When the source is kept 40 cm away, the stopping potential will be

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QUESTION: 67

The slope of frequency of incident light and stopping potential for a given surface will be

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QUESTION: 68

Continuous emission spectrum is also called

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QUESTION: 69

Rainbow is due to

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QUESTION: 70

The potential in the depletion layer is due to

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QUESTION: 71

In an n-p-n transistor, p-acts as a/an

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QUESTION: 72

In a n-p-n transistor amplifier, the collector current is 9 mA. If 90% of the electron from the emitter reach the collector, then

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QUESTION: 73

The band gap in Germanium and silicon in eV respectively is

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QUESTION: 74

The cause of the potential barrier in a p-n diode is

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QUESTION: 75

In the forward bias arrangement of a p-n junction diode

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QUESTION: 76

A p-type semiconductor is

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QUESTION: 77

The penetration of light into the region of geometrical shadow is called

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QUESTION: 78

When a source is linear, the wavefront is

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QUESTION: 79

What is the effect on the interference fringes in a Young's double slit experiment, if the monochromatic source is replaced by another monochromatic source of shorter wavelength?

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QUESTION: 80

Which of the following property of light waves is not observed in sound waves?

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QUESTION: 81

2R ― OH + 2Na → 2RONa + H₂. In the above reaction the reactivity of different alcohols is

Solution:

QUESTION: 82

Formaldehyde +NH₃→Y. The product of Y is

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QUESTION: 83

The reagent SnCl₂/HCl is used in

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QUESTION: 84

A compound A has molecular formula C₂Cl₃OH. It reduce Fehling's solution and on oxidation gives a monocarboxylic acid B. A is obtained by the action of Cl₂ on ethyl alcohol. A is

Solution:

QUESTION: 85

A compound possesses 8% sulphur by mass. The least molecular mass is

Solution:

QUESTION: 86

1-Butene may be converted to butane by reaction with

Solution:

QUESTION: 87

To which of the following four types does this reaction belong? B^{-} + R - A → B - R + A^{-}

Solution:

QUESTION: 88

The reaction/method that does not give an alkane is

Solution:

QUESTION: 89

Enzymes belong to the class of compounds

Solution:

QUESTION: 90

Oxytocin is

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QUESTION: 91

An example of water soluble vitamin is

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QUESTION: 92

Self condensation of two moles of ethyl acetate in presence of sodium ethoxide yields

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QUESTION: 93

The acid showing salt like character in aqueous solutions is

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QUESTION: 94

Reaction of acids with alcohols is also known as

Solution:

QUESTION: 95

If a mixture containing 3 moles of hydrogen and 1 mole of nitrogen is converted completely into ammonia, the ratio of volumes of reactants and products at the same temperature and pressure would be

Solution:

3H_{2} + N_{2} → 2NH_{3}

∴ 3V 1V → 2V

Total initial volume = 3V + 1V = 4V

Final volume = 2V

Hence, ratio of initial and final volume will be 2 : 1

QUESTION: 96

The equilibrium constant for the following reaction will be 3 A + 2 B → C

Solution:

QUESTION: 97

A system is said to be in thermodynamic equilibrium when it is in

Solution:

QUESTION: 98

The heats of dissociation (*k.cals/mole*) of methane and ethane are 360 and 620 respectively. From these, *C - C* bond energy (*k.cals/mole*) in ethane can be evaluated as

Solution:

QUESTION: 99

If the enthalpy of vaporisation of water is 186.5 J mol^{-1}, the entropy of its vaporisation will be

Solution:

QUESTION: 100

Amoxillin is semi-synthetic modification of

Solution:

QUESTION: 101

The outer orbital hybridisation is involved in

Solution:

QUESTION: 102

The IUPAC name of (CH₃)₂CHCH₃ is

Solution:

QUESTION: 103

An electrolyte

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QUESTION: 104

Which of the following reagent can be used to convert benzene diazonium chloride into benzene ?

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QUESTION: 105

Aromatic nitriles (ArCN) are not prepared by

Solution:

In Ar-X (Aryl halides) C-X bond has partial double bond character and hence is difficult to break.

QUESTION: 106

Hybridization of Fe in K₃Fe(CN)₆ is

Solution:

QUESTION: 107

Conductivity (Unit:siemen's S) is directly proportionally to the area of the vessel and the concentration of the solution in it and is inversely proportional to the length of vessel,then the unit of constant of proportionally is

Solution:

QUESTION: 108

When the densities of the ore particles and gangue particles are different, then the ore is concentrated by

Solution:

QUESTION: 109

White lead is

Solution:

QUESTION: 110

A gas a diffuses 5 times faster than gas B. Density of A compared with B is

Solution:

QUESTION: 111

The *pH* of aqueous *KCl* solution is 7.0. This solution was electrolysed for a few seconds using *Pt* electrodes. Which of the following is correct?

Solution:

QUESTION: 112

Heating of methyl phenyl ether with HI gives

Solution:

QUESTION: 113

Which of the following reacts rapidly with oxygen in air at ordinary temperature

Solution:

QUESTION: 114

In crystal structure of sodium chloride, the arrangement of Cl^{-} ions is

Solution:

QUESTION: 115

Adsorption due to strong chemical forces is called

Solution:

QUESTION: 116

Which one of the following is used in the industrial preparation of nitric acid by Ostwald's process ?

Solution:

QUESTION: 117

Which of the following is not a redox reaction?

Solution:

QUESTION: 118

Which is the correct statement for major product?

Solution:

QUESTION: 119

Bell metal is an alloy of

Solution:

QUESTION: 120

Transition metals mostly are

Solution:

QUESTION: 121

Find the Antonym of FLEXIBLE

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QUESTION: 122

Find the Syonym of AMBITION

Solution:

QUESTION: 123

Fill in the blank with appropriate word.

The twins are so alike that I cannot.......one from the other.

Solution:

QUESTION: 124

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

The old man CUT TO THE QUICK when his rich son refused to recognise him.

Solution:

QUESTION: 125

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

After a few minutes the unconscious boxer began to come OUT.

Solution:

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