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This mock test of JEE Main Mock Test 14 for JEE helps you for every JEE entrance exam.
This contains 90 Multiple Choice Questions for JEE JEE Main Mock Test 14 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The area bounded by the curve y = x^{3}, the x-axis and the ordiantes at x = -2 and x = 1 is

Solution:

QUESTION: 2

The maximum coefficient in the expansion of (1+x)^{10}.

Solution:

QUESTION: 3

The equation of the circle when touches x-axis at (3,0) and passing through (1,4) is

Solution:

QUESTION: 4

The order of the differential equation x^{2}+y^{2}+2gx+2fy+c=0, is

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QUESTION: 5

The solution of the equation y - x(dy/dx)=a[(y^{2})+(dy/dx)] is

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QUESTION: 6

If Ï‰ is a complex cube root of unity ,then the value of Ï‰ ^{99} + Ï‰ ^{100} + Ï‰^{101} is

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QUESTION: 7

If *f*: R → R is defined by f (x) = x − [ x ] , where [*x*] is the greatest integer not exceeding *x*, then the set of discontinuities of *f* is

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QUESTION: 8

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QUESTION: 9

If and α is constant then the locus of *z* is

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QUESTION: 10

The equation of ellipse in the form (x^{2}/a^{2}) + (y^{2}/b^{2}) = 1, given the eccentricity to be 2/3 and latus rectum 2/3 is

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QUESTION: 11

If then f ′ a =

Solution:

QUESTION: 12

The inverse of the converse of a conditional statement is the _______________.

Solution:
The inverse will insert NOT into the statement.

The converse will switch the IF and THEN.

The contrapositive does both.

The contrapositive is the inverse of the converse of the conditional statement.

The converse will switch the IF and THEN.

The contrapositive does both.

The contrapositive is the inverse of the converse of the conditional statement.

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): If P(2a,0) be any point on the axis of parabola, then the chord QPR, satisfies

Reason(R): There exists a point on the axis of the parabola y^{2} = 4ax such that = constant for all chords QPR of the parabola.

Solution:

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):

Reason(R): If , then taking log and differentiating , x^{x} ( 1+ log x) dx = dt .

Solution:

QUESTION: 15

Solution:

QUESTION: 16

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 lines 27x - 18y + 25 = 0 and 2x + 3y + 7 = 0 are perpendicular.

Reason(R): Two lines y = m_{1}x + c_{1} and y = m_{2}x + c_{2} are perpendicular if m_{1}m_{2} = -1.

Assertion(A): The lines 27x - 18y + 25 = 0 and 2x + 3y + 7 = 0 are perpendicular.

Reason(R): Two lines y = m

Solution:

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 b = 50, c = 63 and ∠B = 54º, then no such triangle exists.

Reason(R): Since , b > c sin B ⇒ no triangle is formed.

Solution:

QUESTION: 18

Range of a set of values is 60 and maximum value in the series is 80. The minimum value of the series is:

Solution:

QUESTION: 19

If the value of a third determinants is 11, then the value of the determinant formed by its cofactors will be

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QUESTION: 20

The absolute maximum value of y=x^{3}-2x+2 in 0≤x≤2 is

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QUESTION: 21

The locus of the point of intersection of the normals at the ends of a focal chord of the parabola y^{2}=4ax is

Solution:

QUESTION: 22

How many numbers between 99 and 1000 can be formed from the digits 2,3,7,0,8,6 so that in each number each digit may occur once only?

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QUESTION: 23

The probability that a person tossing three fair coins will get either all heads or all tails for the second time on the 5^{th} toss is

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QUESTION: 24

In the set W of whole numbers an equivalence relation R is defined as follows :

aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by

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QUESTION: 25

If The A.M and G.M. between two distinct positive reals are respectively A and G, then the harmonic mean between the numbers is

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QUESTION: 26

In a Poisson variate *X*, if *P* (*X* = 0) = 0.2 then the variance of the distribution is

Solution:

QUESTION: 27

The equation of the plane through the point (-1, 2, 0) and parallel to the lines (x/3) = (y + 1)/0 = (z - 2)/-1 and (x - 1)/1 = (2y + 1)/2 = (2y + 1)/-1 is

Solution:

QUESTION: 28

The value of cot 5º cot 10º.... cot 85º is

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QUESTION: 29

If three vectors a=12i+4j+3k, b=8i-12j-9k and c=33i-4j-24k represent the adjacent edges of a cube, then its volume is

Solution:

QUESTION: 30

If vectors 2λi+j-k and 2j+k are mutually perpendicular, the value of λ is

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QUESTION: 31

Which of the following can work as a dehyrating agent for alcohols?

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QUESTION: 32

Azimuthal quantum number of last electron of ₁₁Na is

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QUESTION: 33

Ions of Ca, Ba and Sr precipitate in fifth group as their

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QUESTION: 34

IUPAC name of CH₃-O-C₂H₅ is

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QUESTION: 35

The metal present in vitamin B₁₂ is

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QUESTION: 36

Hydrogen bonding is maximum in

Solution:

QUESTION: 37

Specify the coordination geometry around and hybridisation of N and B atoms in a 1 : 1 complex of BF_{3} and NH_{3}―

Solution:

The 1 : 1 complex of BF_{3} and NH_{3} is represented as-

In this complex both N and B attain tetrahedral geometry with sp^{3} hybridisation.

QUESTION: 38

Which of the following has maximum dipole moment?

Solution:

Electronegativity difference between N(3.0) and Cl(3.1) is almost zero and hence N―Cl bonds are non-polar. As a result, the overall μ of NCl_{3} and its direction is just μ the lone pair of electron. On the other hand N―Br, N―I and N―H bonds are polar. Since the electronegativity difference is highest in case of N―H therefore, NH_{3} has the highest dipole moment.

QUESTION: 39

The enthalpy of neutralisation of acid acid and sodium hydroxide is -55.4 KJ.What is the enthalpy ionisation of acetic acid ?

Solution:

QUESTION: 40

In the case of gaseous homogeneous reaction,the active mass of the reactant is obtained by the expression

Solution:

QUESTION: 41

The unit of second order reaction rate constant is

Solution:

QUESTION: 42

Consider the following reaction C + O_{2} → CO_{2} , ΔH = − 400 kJ ∕ mole 2H_{2} + O_{2} → 2 H_{2}O , ΔH = − 570 kJ ∕ mole ; CO_{2 } + 2H_{2}O → CH_{4} + 2O_{2} , ΔH = 800 kJ ∕ mole

The heat of formation of methane is

Solution:

C + O_{2} → CO_{2} , ΔH_{1} = − 400 kJ ∕ mole

2H_{2} + O_{2} → 2 H_{2}O , ΔH_{2} = − 570 kJ ∕ mole

CO_{2} + 2H_{2}O → CH_{4} + 2O_{2} , ΔH_{3} = 800 kJ ∕ mole

To get enthalpy of CH_{4}, we add all the 3 equations.

C + 2H_{2} → CH_{4} ∆H_{4 }= ∆H_{1}+∆H_{2}+∆H_{3} = -400-570+800 = -170 kJ/mol

The correct answer is -170 kJ/mol.

QUESTION: 43

Which of the following is true for an isochoric processes

Solution:

QUESTION: 44

The bond dissociation energies of H₂,Cl₂ and HCl are 104, 58 and 103 kcal respectively. The enthalpy of formation of HCl gas will be

Solution:

QUESTION: 45

What is the order of stability for

I.1-butene;II.cis-2-butene;III.trans-2-butene

Solution:

QUESTION: 46

The properties of the elements are the periodic function of their atomic number. The statement is given by

Solution:

QUESTION: 47

Which one indicate correct variation of electronegativities

Solution:

The electronegativity values for the representative elements increase along a period from left to right because of the increase in nuclear charge.

F (4.0) > N (3.0) < O (3.5) > C (2.5).

QUESTION: 48

Which one of the following platinum complexes is used in cancer chemotherapy?

Solution:

Cis isomer of [PtCl_{2}(NH_{3})_{2}] is known as cisplatin and is used as an antitumor agent in treatment of cancer.

QUESTION: 49

Low spin complexes are generally formed by the elements of

Solution:

QUESTION: 50

The unit of electrochemical equivalent is

Solution:

QUESTION: 51

2.5 Faradays of electricity is passed through solution of CuSO₄.The number of grams equivalents of copper deposited on the cathode would be

Solution:

QUESTION: 52

If 1.5 moles of O₂ combine with Mg to form MgO, then mass of Mg that has combined is (At.wt. of Mg = 24)

Solution:

QUESTION: 53

Of the following compounds, the most acidic is

Solution:

QUESTION: 54

Which one of the following statements ,if any ,regarding hydrogen peroxide is false ?

Solution:

QUESTION: 55

Which of the following is correct?

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QUESTION: 56

Which of the following compound will make precipitate most readily with AgNO₃?

Solution:

QUESTION: 57

Arrange these compounds in order of increasing S_{N}1 reaction rate :

Solution:

QUESTION: 58

Which is not the electrophile?

Solution:

QUESTION: 59

Which of the following molecules is achiral ?

Solution:

QUESTION: 60

Carbolic acid is

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QUESTION: 61

The ratio of the largest to shortest wavelengths in Lyman series of hydrogen spectra is

Solution:

QUESTION: 62

When the length and area of cross-section both are doubled, then its resistance

Solution:

QUESTION: 63

The more readily fissionable isotope of uranium has an atomic mass of

Solution:

QUESTION: 64

A copper wire of resistance R is cut into ten parts of equal length. Two pieces each are joined in series and then five such combinations are joined in parallel. The new combination will have a resistance

Solution:

QUESTION: 65

Particle nature is shown by

Solution:

QUESTION: 66

If an electron and a photon propagate in the form of waves having the same wavelength, it implies that they have the same

Solution:

QUESTION: 67

Which of the following electromagnetic waves have the smallest wavelength?

Solution:

QUESTION: 68

The radius of orbit of a planet is two times that of the earth. The time period of planet is

Solution:

QUESTION: 69

A 4μF capacitor is charged to 400V. Then its plates are joined through a 100 Ω resistor. The heat produced in the resistor is

Solution:

QUESTION: 70

A capacitor of capacitance 1μF is charged to 1KV. The energy stored in the capacitor in joules is

Solution:

C = 1μF

V = 1KV

energy stored U = 1/2 (CV^{2})

= 1/2 x 1 x 1^{2} = 0.5

QUESTION: 71

Gravitational mass is proportional to gravitational

Solution:

QUESTION: 72

The energy supply being cut-off, an electric element cools down to the temperature of its surrounding. But it will not cool further, because

Solution:

QUESTION: 73

The energy emitted per second by a black body at 27ºC is 10J. If the temperature of the black body is increased to 327ºC, then energy emitted per second will be

Solution:

QUESTION: 74

Four charged particles are projected perpendicularly into the magnetic field with equal speed. Which will have minimum frequency?

Solution:

QUESTION: 75

Four blocks of same mass connected by cords are pulled by a force *F* on a smooth horizontal surface, as shown in figure. The tensions *T _{1}, T_{2}* and

Solution:

QUESTION: 76

A particle starts from rest and has an acceleration of 2m − s⁻^{2} for 10 s. After that, it travels for 30 s with constant speed and then undergoes a retardation of 4 m − s⁻^{2} and comes back to rest. The total distance covered by the particle is

Solution:

QUESTION: 77

A bottle weighing 220 gram and of area of cross-section 50 cm^{2}, and height 4 cm oscillates on the surface of water in vertical position. Its frequency of oscillation is

Solution:

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): All processes in which pressure and volume are proportional, take place at constant temperature.

Reason(R): Work done in a thermodynamical process is path dependent.

Solution:

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):Doppler effect holds also for electromagnetic waves including microwaves, radio waves and visible light.

Reason(R) : As speed of light is independent of relative motion between source and observer, the formulae for doppler effect are different from that of sound.

Solution:

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): When we switch on the lights one after the other in our house the main current goes on increasing.

Reason(R): Voltage = current x resistance

Solution:

QUESTION: 81

Scent sprayer is based on

Solution:

QUESTION: 82

Atmospheric pressure is measured by

Solution:

QUESTION: 83

Two discs have same mass and thickness. Their materials have densities d₁ and d₂. The ratio of their moments of inertia about central axis will be

Solution:

QUESTION: 84

If the period of oscillation of mass M suspended from a spring is one second, then the period of 4 M will be

Solution:

QUESTION: 85

A copper block of mass 4 kg is heated in a furnance to a temperature 425ºC and then placed on a large ice block. The mass of ice that will melt in this process will be (Specific heat of copper=500 J-kg⁻^{1}-ºC⁻^{1} and heat of fusion of ice = 336 kJ-kg⁻^{1}).

Solution:

QUESTION: 86

The intensity ratio of the waves is 1 : 16. The ratio of their amplitudes is

Solution:

QUESTION: 87

A convex lens of focal length 0.15m is made of a material of refractive index 3/2. When it is placed in a liquid, its focal length is increased by 0.225m. The refractive index of the liquid is

Solution:

QUESTION: 88

The ratio of the slopes of P-V diagrams of adibatic and isothermal processes is

Solution:
The slope of an adiabatic process is P-V graph DP/DV = y P/V (where P/V is the slope of an isothermal process). Therefore ratio of adiabatic slope to isothermal slope = y.

QUESTION: 89

In young's double slit experiment, the intensity of central maximum is I. It one slit is closed, the intensity at the same place will become

Solution:

QUESTION: 90

ML⁻^{1}T⁻^{2} represents

Solution:

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