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JEE Main Mock - 13 (Previous Pattern)


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90 Questions MCQ Test JEE Main & Advanced Mock Test Series | JEE Main Mock - 13 (Previous Pattern)

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JEE Main Mock - 13 (Previous Pattern) - Question 1

The area bounded by the curve y = x3, x-axis and two ordinates x = 1 to x = 2 is equal to

JEE Main Mock - 13 (Previous Pattern) - Question 2

If x is so small that x3 and higher power of x may be neglected, then [(1+x)3/2 - [1+(1/2)x]3] / [(1-x)1/2] may be approximated as

JEE Main Mock - 13 (Previous Pattern) - Question 3

JEE Main Mock - 13 (Previous Pattern) - Question 4

i243 =

JEE Main Mock - 13 (Previous Pattern) - Question 5

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

JEE Main Mock - 13 (Previous Pattern) - Question 6

Circle x2+y2+4x-4y+4=0 touches

JEE Main Mock - 13 (Previous Pattern) - Question 7

Area of the triangle in the Argand diagram formed by the complex numbers z, iz and z + iz is

JEE Main Mock - 13 (Previous Pattern) - Question 8

The solution of differential equation (dy/dx)=[((1+x)y)/((y-1)x)] is

JEE Main Mock - 13 (Previous Pattern) - Question 9

The solution of the equation (1-x2)dy+xydx=xy2dx is

JEE Main Mock - 13 (Previous Pattern) - Question 10

f(x)=x3-27x+5 is increasing when

JEE Main Mock - 13 (Previous Pattern) - Question 11

The eccentricity of the ellipse 9x2 + 5y2 - 30y = 0 is

JEE Main Mock - 13 (Previous Pattern) - Question 12
The negation of the statement ' he is rich and happy' is given by
JEE Main Mock - 13 (Previous Pattern) - Question 13

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): is discontinuous for integral values of x.
Reason(R): f(x) is not defined for integral values of x.

JEE Main Mock - 13 (Previous Pattern) - Question 14

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): The function f (x) ≡ x5 − 5x3 − 20x + 7 attains its maximum at x = − 1 .
Reason(R) : f ′ (−1)   = 0

JEE Main Mock - 13 (Previous Pattern) - Question 15

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 15

JEE Main Mock - 13 (Previous Pattern) - Question 16

In the following question, a Statement-1 is given followed by a corresponding Statement-2 just below it. Read the statements carefully and mark the correct answer-
Tangents are drawn from the point (17,7) to the circle x2+y2=169.
Statement-1:
The tangents are mutually perpendicular.
Statement-2:
The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is x2+y2=338.

JEE Main Mock - 13 (Previous Pattern) - Question 17

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If the 21st and 22nd terms in the expansion of (1+x)44 are equal, then the value of x is 7/8.
Reason(R): In the expansion of (x+y)n, (r+1)th term , Tr+1 = nCr+1xn-r+1 yr+1.

JEE Main Mock - 13 (Previous Pattern) - Question 18

The number of solutions of 2x + y = 4, x - 2 y = 2, 3x + 5y = 6 is

JEE Main Mock - 13 (Previous Pattern) - Question 19
The maximum value of x-x is
JEE Main Mock - 13 (Previous Pattern) - Question 20
The mean annual salary of all employees in a company is Rs.25,000. The mean salaries of male and female employees are Rs.27,000 and Rs.17,000 respectively, the percentage of males and females employees by the company is
JEE Main Mock - 13 (Previous Pattern) - Question 21

The focus of the parabola (y-2)2=20(x+3) is

JEE Main Mock - 13 (Previous Pattern) - Question 22
Everybody in a room shakes hand with every body else. The total number of hand-shakes is 66.The number of persons in the room is
JEE Main Mock - 13 (Previous Pattern) - Question 23
If A and B are events such that P(A)>0 and P(B)≠1, then P(A̅/B̅) is equal to
JEE Main Mock - 13 (Previous Pattern) - Question 24
If x is a positive real number different from 1, then the number 1/1 + √x, 1/1 - x , 1/1 - √x, .... are in
JEE Main Mock - 13 (Previous Pattern) - Question 25
Let A = {a,b,c}, B = {b,c,d}, C = {a,b,d,e}, then A ∩ (B ∪ C) is
JEE Main Mock - 13 (Previous Pattern) - Question 26

For a binomial distribution

JEE Main Mock - 13 (Previous Pattern) - Question 27
The distance of the point (2,3,4) from the plane 3x-6y+2z+11=0 is
JEE Main Mock - 13 (Previous Pattern) - Question 28

The value of cos 20ºcos40ºcos60ºcos80º is equal to

JEE Main Mock - 13 (Previous Pattern) - Question 29

If |a+b|=|a-b|, then the angle between a and b is

JEE Main Mock - 13 (Previous Pattern) - Question 30
A force of magnitude 5 units acting along the vector 2 î - 2 ĵ + k̂ displaces the point of application from (1, 2, 3) to (5, 3, 7), then the work done is
JEE Main Mock - 13 (Previous Pattern) - Question 31

The compound obtained by the reaction of ethene with diborane followed by hydrolysis with alkaline hydrogen peroxide is

JEE Main Mock - 13 (Previous Pattern) - Question 32

Which of the following forms a hydroxide highly soluble in water?

JEE Main Mock - 13 (Previous Pattern) - Question 33

Spectrum of Li2+ is similar to that of

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 33

Number of electrons in Li2+ is one similar to the hydrogen atom. One electron system shows similar king of spectra. Many electron system spectra is complex due to inter-electronic repulsions

JEE Main Mock - 13 (Previous Pattern) - Question 34

Reference proteins are those obtained from

JEE Main Mock - 13 (Previous Pattern) - Question 35

Which bond angle θ would result in the maximum dipole moment for triatomic molecule XY2 as shown below?

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 35

The dipole moment of two dipoles inclined at an angle θ is given by equation

cos 90 = 0. Since the angle increase from 98-180, the value of cos θ becomes more and more negative and hence resultant decreases. Thus, dipole moment is maximum when θ = 90º.

JEE Main Mock - 13 (Previous Pattern) - Question 36

In graphite, the electrons are

JEE Main Mock - 13 (Previous Pattern) - Question 37

Which of the following involve sp2 hybridisation?

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 37

Only SO2 has sp2 hybridisation while all the remaining molecules i.e., CO2, N2O and CO has sp-hybridisation.

JEE Main Mock - 13 (Previous Pattern) - Question 38

The geometric form of crystals is the result of orderly arrangement of

JEE Main Mock - 13 (Previous Pattern) - Question 39

The heat required to raise the temperature of a body by 1K is called

JEE Main Mock - 13 (Previous Pattern) - Question 40

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

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 40

The correct answer is k= [C]/[A]3.[B]2

JEE Main Mock - 13 (Previous Pattern) - Question 41

A chemical reaction is catalysed by X. Hence X

JEE Main Mock - 13 (Previous Pattern) - Question 42

Which relation is correct?

JEE Main Mock - 13 (Previous Pattern) - Question 43

Work done during the compression of a gas from a volume of 6dm3 to 4 dm3 against a constant external pressure of 3 atm is (1atm-litre=101.32J)

JEE Main Mock - 13 (Previous Pattern) - Question 44

The IUPAC name of (CH₃)₃ C - CH = CH₂ is

JEE Main Mock - 13 (Previous Pattern) - Question 45

Eka-aluminium and eka-silicon are known as

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 45

Gallium and Germanium were unknown at the time when Mendeleev's periodic table was formulated. But Mendeleev's predicted the properties of these elements and named them eka-aluminium and eka-silicon. Later when these elements were discovered, their properties were found to be similar to those of aluminium and silicon.

JEE Main Mock - 13 (Previous Pattern) - Question 46

In a closed insulated container a liquid is stirred with a paddle to increase the temperature. Which of the following is true

JEE Main Mock - 13 (Previous Pattern) - Question 47

Which of the following is not isoelectronic?

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 47

Isoelectronic species: a group of ions, atoms, or molecules that have the same number of electrons.
Number of electrons in Na+ = 10
Number of electrons in Mg2+ = 10
Number of electrons in O2 − = 10
Number of electrons in Cl = 18

JEE Main Mock - 13 (Previous Pattern) - Question 48

Which of the complexes is expected to have lowest Δ0 value?

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 48

The magnitude of Δ0 varies from stronger to weaker ligands. According to spectro-chemical series F is weaker while NH3 is a stronger ligand. Stronger ligand gives a larger value of Δ0

JEE Main Mock - 13 (Previous Pattern) - Question 49

Which of the following belongs to the actinide series?

JEE Main Mock - 13 (Previous Pattern) - Question 50

Which of the following is the use of electrolysis?

JEE Main Mock - 13 (Previous Pattern) - Question 51

The property of hydrogen which distinguishes it from other alkali metals is

JEE Main Mock - 13 (Previous Pattern) - Question 52

A sample of gas has a volume of 0.2 lit. measured at 1 atm. pressure and 0ºC . At the same pressure but at 273ºC its volume will become

JEE Main Mock - 13 (Previous Pattern) - Question 53

Which of the following reacts with chloroform and base to form phenyl isocyanide?

JEE Main Mock - 13 (Previous Pattern) - Question 54

Which one of the following compounds is a Lewis acid ?

JEE Main Mock - 13 (Previous Pattern) - Question 55

Maximum number of active hydrogens are present in

JEE Main Mock - 13 (Previous Pattern) - Question 56

The standard reduction potential at 298 K for the following half cell reaction are given below

Which one is the strongest reducing agent?

JEE Main Mock - 13 (Previous Pattern) - Question 57

Ethynic hydrogen is released most easily in :

JEE Main Mock - 13 (Previous Pattern) - Question 58

Phenol is

JEE Main Mock - 13 (Previous Pattern) - Question 59

Among the following, the optically inactive compound is

Detailed Solution for JEE Main Mock - 13 (Previous Pattern) - Question 59

JEE Main Mock - 13 (Previous Pattern) - Question 60



Ether is :

JEE Main Mock - 13 (Previous Pattern) - Question 61

Which of th following transitions in a hydrogen atom emits the photon of highest frequency?

JEE Main Mock - 13 (Previous Pattern) - Question 62

A nucleus with Z = 92 emits the following in a sequence: α,β⁻,β⁻,α,α,α,α,α,β⁻,β⁻,α,β⁺,β⁺,α. The atomic no. of the resulting nuclues is

JEE Main Mock - 13 (Previous Pattern) - Question 63

Uniform wire 16 Ω resistance is made in the form of a square. Two opposite corners of the square are connected by a wire of resistance of 16 Ω . The effective resistance between the other two opposite corners is

JEE Main Mock - 13 (Previous Pattern) - Question 64

Three similar cells, each of e.m.f. 2V and internal resistance r Ω send the same current through an external resistance of 2 Ω, when connected in series or in parallel. The strength of the current flowing through the external resistance is

JEE Main Mock - 13 (Previous Pattern) - Question 65

Uncertainty in position of the electron is of the order of de-Broglie wavelength. Making use of Heisenberg's uncertainty principle, it will be found that uncertainty in velocity ν is of the order of

JEE Main Mock - 13 (Previous Pattern) - Question 66

If momentum of a particle is doubled, then its de-Broglie's wavelength will

JEE Main Mock - 13 (Previous Pattern) - Question 67

Radio wave diffract around building although light waves do not. The reason is that radio waves:

JEE Main Mock - 13 (Previous Pattern) - Question 68

Five equal capacitors connected in series have a resultant capacitance of 4 μF. The total energy stored in these, when these are connected in parallel and charged to 400V is

JEE Main Mock - 13 (Previous Pattern) - Question 69

A 20F capacitor is charged to 5V and isolated. It is then connected in parallel with an uncharged 30F capacitor. The decrease in the energy of the system will be

JEE Main Mock - 13 (Previous Pattern) - Question 70

Taking that earth revolves round the sun in a circular orbit of radius 15 x 1010 m, with a time period of 1 year, the time taken by another planet, which is a distance of 540 x 1010 m, to revolve round the sun in circular orbit once, will be

JEE Main Mock - 13 (Previous Pattern) - Question 71

The periodic time of a communication satellite is

JEE Main Mock - 13 (Previous Pattern) - Question 72

The energy spectrum of a black body exhibits a maximum around a wavelength λ₀. The temperature of a black body is now changed such that the energy is maximum around a wavelength 0.75 λ₀. The power radiated by the black body will now increase by a factor of

JEE Main Mock - 13 (Previous Pattern) - Question 73

A liquid cools down from 70ºC to 60ºC in 5 minutes. The time taken to cool it from 60ºC to 50ºC will be

JEE Main Mock - 13 (Previous Pattern) - Question 74

If a particle covers half the circle of radius R with constant speed, then

JEE Main Mock - 13 (Previous Pattern) - Question 75

A wire of length L metre, carrying a current I ampere is bent in the form of a circle. its magnitude of magnetic moment will be

JEE Main Mock - 13 (Previous Pattern) - Question 76

A particle is moving eastwards with a velocity of 5 m − s⁻1. In 10 s, the velocity changes to 5 m − s⁻1 northwards. The average acceleration in this time is

JEE Main Mock - 13 (Previous Pattern) - Question 77

A particle is viberating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and kinetic ?

JEE Main Mock - 13 (Previous Pattern) - Question 78

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Due to opposition offered by self-inductance, work is done by external agent in establishing current in circuit. This work done is stored as potential energy.
Reason(R): Self-inductance of a coil depends on the geometry of coils and medium.

JEE Main Mock - 13 (Previous Pattern) - Question 79

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Both heat energy and charge are carried by the free electrons in pure metals.
Reason(R) : For pure metals, the electrical conductivity σ is directly related to the thermal conductivity K.

JEE Main Mock - 13 (Previous Pattern) - Question 80

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Costly wrist watches and other instruments are enclosed in a soft-iron case to protect it from external field.
Reason(R): Iron-case is used as magnetic screening or shielding.

JEE Main Mock - 13 (Previous Pattern) - Question 81

If 'S' is stress and 'Y' is Young's modulus of material of a wire, then the energy stored in the wire per unit volume is

JEE Main Mock - 13 (Previous Pattern) - Question 82

The density of ice is 9.0 g/c.c. and that of sea water is 1.1 g/c.c. An ice berg of volume V is floating in sea water. The fraction of ice berg above water level is

JEE Main Mock - 13 (Previous Pattern) - Question 83

A light ray passed through an equilateral prism. If the angles of incidence and emergence are 45°45° and 55°55°respectively, the angle of deviation is

JEE Main Mock - 13 (Previous Pattern) - Question 84

A constant torque of 314 N-m is exerted on a pivoted wheel. If angular acceleration of wheel is 4π rad-s⁻², then the moment of inertia of the wheel is

JEE Main Mock - 13 (Previous Pattern) - Question 85

Two bodies M and N of equal masses are suspended from two separate massless springsof force constants K₁ and K₂ respectively. If the two bodies oscillate vertically such that their maximum velocities are eqaul, the ratio of the amplitude of M to that of N is

JEE Main Mock - 13 (Previous Pattern) - Question 86

A stretched string is in unison with a tuning fork of frequency 392 Hz. If the length of the string is decreased by 2%, the number of beats heard per second is

JEE Main Mock - 13 (Previous Pattern) - Question 87

During the adiabatic process, the pressure of gas is found to be proportional to the cube of its absolute temperature. The ratio CP/CV for gas is

JEE Main Mock - 13 (Previous Pattern) - Question 88

A given system undergoes a change, in which work done by a system equal to decrease in its internal energy. The system must have undergone an

JEE Main Mock - 13 (Previous Pattern) - Question 89

Which of the following is not a unit of energy

JEE Main Mock - 13 (Previous Pattern) - Question 90

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

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