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# VITEEE PCME Mock Test - 15

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## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 15

VITEEE PCME Mock Test - 15 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 15 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 15 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 15 below.
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VITEEE PCME Mock Test - 15 - Question 1

### The function which is neither decreasing nor increasing in (π/2, 3π/2) is

VITEEE PCME Mock Test - 15 - Question 2

### If complex numbers z₁, z₂ and origin form an equilateral triangle then z₁2 + z₂2 =

VITEEE PCME Mock Test - 15 - Question 3

### The area of the region bounded by the curve y = x - x2 between x = 0 and x = 1 is

VITEEE PCME Mock Test - 15 - Question 4

The curve represented by Im (z2) = K where K is a non-zero real number is

VITEEE PCME Mock Test - 15 - Question 5

The area of the curve |x|+|y|=4 is

VITEEE PCME Mock Test - 15 - Question 6

VITEEE PCME Mock Test - 15 - Question 7

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

VITEEE PCME Mock Test - 15 - Question 8

The order of differential equation (d2y/dx2)= (1+dy/dx)1/2 is

VITEEE PCME Mock Test - 15 - Question 9

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

VITEEE PCME Mock Test - 15 - Question 10

If xy=e(x-y), (dy/dx)=

VITEEE PCME Mock Test - 15 - Question 11

Let f(x) = [x], where [x] denotes the greatest integer contained in x. Which one of the following is correct?

VITEEE PCME Mock Test - 15 - Question 12

If c is parameter then the differential equation whose solution is y = c2 + c/x is

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 12

VITEEE PCME Mock Test - 15 - Question 13

Solution of (x+y-1) dx+(2x+2y-3) dy = 0 is

VITEEE PCME Mock Test - 15 - Question 14

The equation of the curve passing through the origin and satisfying the differential equation dy/dx = (x − y)2 is

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 14

VITEEE PCME Mock Test - 15 - Question 15

∫cos√x dx=

VITEEE PCME Mock Test - 15 - Question 16

∫tan-1x dx =

VITEEE PCME Mock Test - 15 - Question 17

If Tan-1x + 1 + Tan-1(x − 1)   =Tan-1(18/31) , then x =

VITEEE PCME Mock Test - 15 - Question 18

The value of

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 18

VITEEE PCME Mock Test - 15 - Question 19

VITEEE PCME Mock Test - 15 - Question 20

If n is any odd number, which of the following is true about n +1?

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 20

Every whole number is either odd or even.
A whole number is even if it can be divided evenly by two; the numbers 2, 4, 6, 8, 10, 12, . . . are even.
In this question we are given the information that n is an odd number.
Because n is odd, it must be one of the numbers 1, 3, 5, 7, 9, 11, 13, 15, and so on.
Now we have to reason mathematically.
If n is a member of this “odd” list, then what can we say for sure about n +1?
If we add 1 to each number in the odd list, we get the “ n +1 ” list: 2, 4, 6, 8, 10, 12, 14, 16, and so on, which are even numbers.

VITEEE PCME Mock Test - 15 - Question 21

The system of equations
2x + 2y - 3z - 1 = 0
4x + 4y + z -2 = 0
6x + 6y - z -3 = 0
has-

VITEEE PCME Mock Test - 15 - Question 22

If A = [x y z] ,

then [ a x2 + b y2 + c z2 + 2 hxy + 2 gzx + 2 fyz ] is

VITEEE PCME Mock Test - 15 - Question 23

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of there parallel lines is :

VITEEE PCME Mock Test - 15 - Question 24

The number of ways in which 7 men and 7 women can sit on a round table such that no two woman sit together is, are

VITEEE PCME Mock Test - 15 - Question 25

The probability of an event A occuring is 0.5 and of B occuring is 0.3. If A and B are mutually exclusive events,then the probability of neither A nor B occuring is

VITEEE PCME Mock Test - 15 - Question 26

A coin is tossed 10 times. The probability of getting exactly six heads, is

VITEEE PCME Mock Test - 15 - Question 27

If the sum of first n terms of an A.P. be 3n2 - n and its common difference is 6, then its first term is

VITEEE PCME Mock Test - 15 - Question 28

If in a ∆ABC 2cosA=sinB cosecC, then

VITEEE PCME Mock Test - 15 - Question 29

If the matrix  is singular, then θ =

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 29

VITEEE PCME Mock Test - 15 - Question 30

The means of two samples of sizes 50 and 100 respectively are 54.1 and 50.3 and the standard deviations are 8 and 7. The mean and standard deviations of the combined sample is

VITEEE PCME Mock Test - 15 - Question 31

Given n = 10, ∑x = 4, ∑y = 3, ∑x2 = 8, ∑y= 9 ∑xy = 3, then the co-eff. of correlation is

VITEEE PCME Mock Test - 15 - Question 32

The number of roots of the equation |x|2  - 7|x|+12=0 is

VITEEE PCME Mock Test - 15 - Question 33

If there is a multiple root of order 3 for the equation x4 − 2 x3 + 2 x − a = 0 , then the other roots is

VITEEE PCME Mock Test - 15 - Question 34

The angle between the two planes 3x-4y+5z=0 and 2x-y-2z=5 is

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 34

VITEEE PCME Mock Test - 15 - Question 35

The ratio in which the plane r̅.(i̅−2j̅+3k̅)=17 divides the line joining the points -2i̅+4j̅+7k̅ and 3i̅+5j̅+8k is̅

VITEEE PCME Mock Test - 15 - Question 36

If sin2x+sin4x=2sin3x, then x=

VITEEE PCME Mock Test - 15 - Question 37

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

VITEEE PCME Mock Test - 15 - Question 38

The vertex of the parabola
y2 = 4(a' - a) (x - a) is

VITEEE PCME Mock Test - 15 - Question 39

If a,b,c are position vectors of vertices ABC, then the position vector of a centroid of ∆ABC is

VITEEE PCME Mock Test - 15 - Question 40

If vectors ai-2j+3k and 3i+6j-5k are mutually perpendicular, then the value of a is

VITEEE PCME Mock Test - 15 - Question 41

A transformer is used to light 140 watt, 24 volt lamp from 240 volts A.C. mains. If the current in the mains is 0.7 A, then the efficiency of transformer is

VITEEE PCME Mock Test - 15 - Question 42

Sodium has body centred packing. Distance between two nearest atoms is 3.7 Å . The lattice parameter is:

VITEEE PCME Mock Test - 15 - Question 43

Light rays of wavelengths 6000 Å and of photon intensity 39 x 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 m s-1 ]

VITEEE PCME Mock Test - 15 - Question 44

The charge deposited on 4 μ F capacitor in the circuit is

VITEEE PCME Mock Test - 15 - Question 45

Optical fibres uses the phenomenon of

VITEEE PCME Mock Test - 15 - Question 46

We have two wires A and B of same mass and same material. The diameter of the wire A is half of that B. If the resistance of wire A is 24 ohm then the resistance of wire B will be

VITEEE PCME Mock Test - 15 - Question 47

A cell whose e.m.f. is 2V and internal resistance is 0.1Ω, is connected with a resistance of 3.9Ω. The voltage across the cell terminal will be

VITEEE PCME Mock Test - 15 - Question 48

The power of an electric bulb marked as 40 W and 200 V used in a circuit of supply voltage 100 V will be

VITEEE PCME Mock Test - 15 - Question 49

At what temperature will the resistance of a copper wire become three times its value at 0​oC(Temperature coefficient of resistance for copper = 4x10-3 per oC)

VITEEE PCME Mock Test - 15 - Question 50

What is the stopping potential when the metal with work function 0.6 eV is illuminated with the light of 2 eV?

VITEEE PCME Mock Test - 15 - Question 51

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

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 51

No. of turns across primary Np = 50
Number of turns across secondary Ns = 1500
Magnetic flux linked with primary, Φ = Φ0 + 4t
∴ Voltage across the primary,

VITEEE PCME Mock Test - 15 - Question 52
Which of the following figures correctly depicts the Lenz's law? The arrows show the movement of the labelled pole of a bar magnet into a closed circular loop and the arrows on the circle show the direction of the induced current.
VITEEE PCME Mock Test - 15 - Question 53

When the current changes from +2A to -2A in 0.05s, an emf of 8V is induced in a coil. The coefficient of self induction of the coil is

VITEEE PCME Mock Test - 15 - Question 54

The oscillating electric and magnetic field vectors of electromagnetic wave are oriented along

VITEEE PCME Mock Test - 15 - Question 55

A charged particle q is placed at the centre O of a cube of length L. Another same charge q is placed at a distance L from O. Then electric flux through the cube is

VITEEE PCME Mock Test - 15 - Question 56

In bringing an electron towards another electron, the electrostatic potential energy of the system

VITEEE PCME Mock Test - 15 - Question 57

If a point charge q be rotated in a circle of radius r around a charge Q, the work done will be

VITEEE PCME Mock Test - 15 - Question 58

Two spherical conductors A and B having equal radii and carrying equal charges on them, repel each other with a force F, when kept apart at some distance. A third spherical conductor C having same radius as that of A, but uncharged, is brought in contact with A, then brought in contact with B and finally removed away from both. The new force of repulsion between the conductors A and B is

VITEEE PCME Mock Test - 15 - Question 59

Two metal spheres have their surface in the ratio 9 : 16. They are put into contact with each other. A charge of 7 x10-6 C is given to the system and now they are separated so that each exerts no influence on the other . The potential due to smaller sphere at a distance of 50m from it is

VITEEE PCME Mock Test - 15 - Question 60

A straight wire of length l and electric dipole moment p is bent to from a semicircle. The new electric dipole moment would be

VITEEE PCME Mock Test - 15 - Question 61

A voltmeter has a resistance of G ohm and range V volt. The value of resistance used in series to convert it into voltmeter of range nV volt is

VITEEE PCME Mock Test - 15 - Question 62

A radio active sample has a half life of 5 days. To decay from 8 micro curies to 1 micro-curie, the number of days taken will be

VITEEE PCME Mock Test - 15 - Question 63

The radio of the radii of the nuclei 13Al27 and 52Te152  is

VITEEE PCME Mock Test - 15 - Question 64

Neutron was discovered by

VITEEE PCME Mock Test - 15 - Question 65

As the intensity of incident light increases

VITEEE PCME Mock Test - 15 - Question 66

In a Huygen's eye piece with an eyepiece of focal length F, the distance between the eye-piece and field lens should be

VITEEE PCME Mock Test - 15 - Question 67

Einstein's work on the photoelectric effect provied support for the equation

VITEEE PCME Mock Test - 15 - Question 68

ABC is a right angled glass prism of refractive index 1.5. ∠ A , ∠ B and ∠ C are 60o , 30o and 90o  respectively. A thin layer of liquid is on the face AB. For a ray of light which is incident normally on AC to be totally reflected at AB, the refractive index of the liquid on AB should be

VITEEE PCME Mock Test - 15 - Question 69

Zener diode is used for

VITEEE PCME Mock Test - 15 - Question 70

A zener diode works on the principle of

VITEEE PCME Mock Test - 15 - Question 71

For a transistor working as common-base amplifier, the emitter current is 7.2 mA. If the current gain is 0.96, then the collector current is

VITEEE PCME Mock Test - 15 - Question 72

If the lattice parameter for a crystalline structure is 3.6 Å , then the atomic radius in fcc crystal is

VITEEE PCME Mock Test - 15 - Question 73

In intrinsic semiconductor at room temperature, number of electrons and holes are

VITEEE PCME Mock Test - 15 - Question 74

Silicon is a semiconductor. If a small amount of As is added to it, then its electrical conductivity

VITEEE PCME Mock Test - 15 - Question 75

In forward bias, the width of potential barrier in a p-n junction diode

VITEEE PCME Mock Test - 15 - Question 76

The golden view of sea shell is due to

VITEEE PCME Mock Test - 15 - Question 77

The wave theory of light was given by

VITEEE PCME Mock Test - 15 - Question 78

A wavefront is an imaginary surface where

VITEEE PCME Mock Test - 15 - Question 79

For the constructive interference the path difference between the two interfering waves must be equal to

VITEEE PCME Mock Test - 15 - Question 80

Phenomenon of electrolysis was first given by

VITEEE PCME Mock Test - 15 - Question 81

Ethyl alcohol is industrially prepared from ethylene by

VITEEE PCME Mock Test - 15 - Question 82

Acetaldehyde cannot exhibit

VITEEE PCME Mock Test - 15 - Question 83

Formalin is an aqueous solution of

VITEEE PCME Mock Test - 15 - Question 84

When ethylbromide and n-propyl bromide is allowed to react with sodium, in ether, they form

VITEEE PCME Mock Test - 15 - Question 85

Tollen's reagent is

VITEEE PCME Mock Test - 15 - Question 86

Which alkene gives the same product by the Markownikoff's and anti-Markownikoff's method

VITEEE PCME Mock Test - 15 - Question 87

The most stable ion is

VITEEE PCME Mock Test - 15 - Question 88

The most stable free radical among the following is

VITEEE PCME Mock Test - 15 - Question 89

The number of molecules of ATP produced in the lipid metabolism of a molecule of palmitic acid is

VITEEE PCME Mock Test - 15 - Question 90

Rearrangement of an oxime to an amide in the presence of strong acid is called

VITEEE PCME Mock Test - 15 - Question 91

The sequence in the structure of nucleic acid is

VITEEE PCME Mock Test - 15 - Question 92

In which of the following, the number of carbon atoms does not remain same when carboxylic acid is obtained by oxidation

VITEEE PCME Mock Test - 15 - Question 93

Which of the following favours the backward reaction in a chemical equilibrium?

VITEEE PCME Mock Test - 15 - Question 94

What is the main reason for the fact that carboxylic acids can undergo ionization?

VITEEE PCME Mock Test - 15 - Question 95

In a reversible reaction, the catalyst

VITEEE PCME Mock Test - 15 - Question 96

A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at temperature T2. Work done by the engine is (Q1 + Q2). This data

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 96

It does not go against first law of thermodynamics .
However it violates the 2nd law of thermodynamics.

VITEEE PCME Mock Test - 15 - Question 97

For an ideal gas, the relation between the enthalpy change and internal energy change at constant temperature is given by

VITEEE PCME Mock Test - 15 - Question 98

Given the bond energies of N ≡ N , H − H and N − H bonds as 941.5, 433 and 391 kJ mole-1 respectively, the enthalpy of reaction N2 g + 3 H2 g → 2 NH3 g is

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 98

Enthalpy of reaction = ∑ bond energyreactant - ∑ bond energyproduct
= bond energy (n2) + 3 x (bond energy) (h2) - 2 x (bond energy) (NH3)
= 941.5 + (3 x 433) - 2 x 3 x 391
= 2240.5 - 2346 = 105.4 ≅ -105kJ

VITEEE PCME Mock Test - 15 - Question 99

A drug that is antipyretic as well as analgesic is

VITEEE PCME Mock Test - 15 - Question 100

The prefixes sys and anti are used to denote

VITEEE PCME Mock Test - 15 - Question 101

Which of the following has largest number of isomers? (R is alkyl group, en is ethylediamine)

VITEEE PCME Mock Test - 15 - Question 102

One mole of complex compound Co(NH₃)₅ Cl₃ gives 3 mol of ions on dissolution in water. One mol of same complex reacts with two mol of AgNO₃ solution to form two mol of AgCl(s). The struture of complex is

VITEEE PCME Mock Test - 15 - Question 103

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

VITEEE PCME Mock Test - 15 - Question 104

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

Detailed Solution for VITEEE PCME Mock Test - 15 - Question 104

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

VITEEE PCME Mock Test - 15 - Question 105

Diazo coupling is useful to prepare

VITEEE PCME Mock Test - 15 - Question 106

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

VITEEE PCME Mock Test - 15 - Question 107

Electrolytes when dissolved in water dissociate into ions because

VITEEE PCME Mock Test - 15 - Question 108

On passing a current through KCl solution 19.5gm of potassium is deposited. If the same quantity of electricity is passed through a solution of aluminium chloride, the amount of Aluminium deposited is

VITEEE PCME Mock Test - 15 - Question 109

The ether that undergoes electrophilic substitution reactions is

VITEEE PCME Mock Test - 15 - Question 110

Which of the following reacts with water at a high rate?

VITEEE PCME Mock Test - 15 - Question 111

Wt. of 22.4 litres of Cl₂ gas at STP is

VITEEE PCME Mock Test - 15 - Question 112

VITEEE PCME Mock Test - 15 - Question 113

Among the trihalides of nitrogen which one is most basic?

VITEEE PCME Mock Test - 15 - Question 114

HNO₂ acts as an/a

VITEEE PCME Mock Test - 15 - Question 115

The interionic distance for cesium chloride cystal will be

VITEEE PCME Mock Test - 15 - Question 116

Oxidation state of Fe in Fe₃O₄ is

VITEEE PCME Mock Test - 15 - Question 117

Alkane, C5H12, in which all H-atoms are equivalent is:

VITEEE PCME Mock Test - 15 - Question 118

The first element in the 3d-transition series is

VITEEE PCME Mock Test - 15 - Question 119

Elements which generally exhibit mutiple oxidation states and whose ions are usually coloured are

VITEEE PCME Mock Test - 15 - Question 120

Collodial solution of silver is prepared by

VITEEE PCME Mock Test - 15 - Question 121

Find the antonym of ALIENATE

VITEEE PCME Mock Test - 15 - Question 122

Fill in the blank with appropriate word.
To nobody else did the story seem..........

VITEEE PCME Mock Test - 15 - Question 123

Find the synonym of RUPTURE

VITEEE PCME Mock Test - 15 - 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.

VITEEE PCME Mock Test - 15 - Question 125

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

Despite his old age, his movements were as spirited as A YOUNG MAN

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