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JEE Main Mock - 11 (Previous Pattern)

90 Questions MCQ Test Mock Test Series for JEE Main & Advanced 2022 | JEE Main Mock - 11 (Previous Pattern)

Description

Attempt JEE Main Mock - 11 (Previous Pattern) | 90 questions in 180 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mock Test Series for JEE Main & Advanced 2022 for JEE Exam | Download free PDF with solutions

QUESTION: 1

Area enclosed by the curve = 8 is

A.
π
B.
2
C.
3π
D.
4

Solution:

The given equation can be rewritten as

QUESTION: 2

If n ∈ N then n³+2n is divisible by

A.
3
B.
2
C.
6
D.
4

Solution:

QUESTION: 3

x=7 touches the circle x² + y² - 4x - 6y - 12 = 0, then the co-ordinates of the point of contact are

A.
(7,3)
B.
(7,4)
C.
(7,8)
D.
(7,2)

Solution:

QUESTION: 4

If ω is a cube root of unity ,then
(1 - ω + ω²)⁵ + (1 + ω - ω²) is equal to

A.
-32
B.
8
C.
32
D.
-16

Solution:

QUESTION: 5

If z = -2/(1 + √3i),then the value of arg (z) is

A.
π
B.
π/3
C.
2π/3
D.
π/4

Solution:

QUESTION: 6

The solution of the differential equation cos x sin y dx + sin x cos y dy =0 is

A.
sin x/sin y = C
B.
cos x + cos y =C
C.
sin x + sin y = C
D.
sin x sin y = C

Solution:

QUESTION: 7

If m and n are integers, then what is the value of sin m x sin n x d x . If m ≠ n

A.
0
B.
C.
D.
mn

Solution:

Since sin mx, sin nx is an odd function if m ≠ n, then sin mx . sin nx dx = 0

QUESTION: 8

The value of f(0) so that f (x) is continuous at x = 0 is

A.
5
B.
6
C.
7
D.
None

Solution:

QUESTION: 9

The solution of the equation xdy-ydx=0 is

A.
Rectangular hyperbola
B.
Straight line passing (0,0)
C.
Parabola with vertex at (0,0)
D.
Circle with centre at (0,0)

Solution:

QUESTION: 10

If y=sec⁻¹[(x+1)/(x-1)]+sin⁻¹[(x-1)/(x+1)], (dy/dx)=

A.
=0
B.
1
C.
=2
D.
3

Solution:

QUESTION: 11

Tangents are drawn from a point P(3,4) to the ellipse (x²/9) + (y²/16) = 1 touching the ellipse in the points Q and R. The angle between PQ and PR is

A.
45º
B.
60º
C.
90º
D.
30º

Solution:

QUESTION: 12

A.
4
B.
√2
C.
2√2
D.
1 ∕ √ 2

Solution:

QUESTION: 13

Which statement is logically equivalent to "If Yoda cannot use a lightsaber, then he cannot help Luke win the battle."

A.
Yoda cannot use a lightsaber and he will help Luke win the battle.
B.
If Yoda can help Luke win the battle, then he can use a lightsaber.
C.
Yoda can use a lightsaber if and only if he can help Luke win the battle.
D.
Yoda cannot use a lightsaber and will not help Luke win the battle.

Solution:

A statement is logically equivalent to its contrapositive. To form the contrapositive, switch the "If" and "then" sections of the statement AND insert "NOTs" into each section. Notice in this situation, that inserting "NOTs" turns the thoughts positive (you are negating negative thoughts).

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): Let f(x) and g(x) be two polynomials all of whose coefficients are rational numbers . Suppose f(x) and g(x) have a common irrational root, then g(x) = r f(x) for some rational number.
Reason(R): The common root of the equations ax² + bx + c = 0 and a'x² + b'x + c' = 0 is

A.
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

Solution:

QUESTION: 15

A.
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

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): y = 0 is the singular solution of the equation 9yp² + 4 = 0.
Reason(R): y = 0 occurs both in the p-discriminant , and c-discriminant obtained from the general solution y³ + (x+c)² = 0 of the equation 9yp² + 4 = 0.

A.
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

Solution:

QUESTION: 17

If each element of a 3 x 3 matrix is multiplie by 3, then the determinant of the newly formed matrix is

A.
3 det A
B.
9 det A
C.
27 det A
D.
(det A)

Solution:

QUESTION: 18

The maximum value of [(logx)/x] is

A.
1
B.
2/e
C.
e
D.
1/e

Solution:

QUESTION: 19

Sum of the deviations about mean is:

A.
Zero
B.
Minimum
C.
Maximum
D.
One

Solution:

QUESTION: 20

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):α₁,α₂,α₃,α₄ are roots of 2x⁴ - 2x³ + 9x² - x + 12 = 0, then the value of is 21.
Reason(R): 2(x-α₁) (x-α₂)(x-α₃) x (x-α₄) = 2x⁴ - 2x³ + 3x² - x + 12. Put x = 3 i on both sides and take modulus of both sides

A.
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

Solution:

QUESTION: 21

The line 4x + 6y + 9 = 0 touches the parabola y² = 4 x at the point

A.
(− 3 , 9 ∕ 4)
B.
(3, − 9 ∕ 4)
C.
(9 ∕ 4, − 3)
D.
(− 9 ∕ 4, − 3)

Solution:

QUESTION: 22

If ⁿC_r+ⁿC_r+1=ⁿ⁺¹C_x, then x=

A.
r
B.
r-1
C.
n
D.
r+1

Solution:

QUESTION: 23

If the sum of series 2 + 5 + 8 + .... upto n terms is 60100, then n

A.
100
B.
200
C.
150
D.
250

Solution:

QUESTION: 24

A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that they are of the same colour is

A.
7/108
B.
1/6
C.
5/28
D.
4/9

Solution:

QUESTION: 25

If A = [(x,y) : x² + y² = 25] and B = [(x,y) : x² + 9y² = 144] and A ∩ B contains

A.
one point
B.
two points
C.
three points
D.
four points

Solution:

QUESTION: 26

A random variable X has the following distribution
x 1 2 3 4
P ( X = x) c 2c 3c 4c
The value of c is

A.
0.1
B.
0.2
C.
10
D.
20

Solution:

QUESTION: 27

The plane XOZ divides the join of (1,-1,5) and (2,3,4) in the ratio λ:1,then λ is

A.
-3
B.
-1/3
C.
3
D.
1/3

Solution:

Since the plane XOZ divides the join of (1, -1, 5) and (2,3,4) in the ratio λ:1.
S o . Y = 0

QUESTION: 28

If sin θ₁ + sin θ₂ + sin θ₃=3, then cosθ₁ + cosθ₂ + cos θ₃

A.
3
B.
2
C.
1
D.
0

Solution:

QUESTION: 29

The angle between the vectors
î - ĵ + k̂ and î + 2ĵ + k̂ is

A.
cos⁻¹(1/√15)
B.
cos⁻¹(4/√15)
C.
π/2
D.
cos⁻¹(4/15)

Solution:

QUESTION: 30

are non− coplanar, then the sum

Solution:

QUESTION: 31

Alcohol fermentation is brought about by the action of

A.
CO₂
B.
O₂
C.
Invertase
D.
Yeast

Solution:

QUESTION: 32

Which of the following radicals will not be precipitated by passing H₂S in concentrated acid solution?

A.
Copper
B.
Antimony
C.
Arsenic
D.
Cadmium

Solution:

QUESTION: 33

The wavelength of light having wave number 4000cm^-1 is

A.
2.5 μ m
B.
1.5 μ m
C.
3.0 μ m
D.
2.0 μ m

Solution:

QUESTION: 34

IUPAC name of CH₃-O-C₂H₅ is

A.
methoxy ethane
B.
dimethyl ether
C.
ethyl methyl ether
D.
methyl ethyne ether

Solution:

QUESTION: 35

Purine derivative among the following bases is

A.
Thymine
B.
Uracil
C.
Guanine
D.
Cytosine

Solution:

QUESTION: 36

Amongst the following the molecule that is linear is

A.
CO₂
B.
NO₂
C.
SO₂
D.
ClO₂ or SiO₂

Solution:

QUESTION: 37

The correct order of hybridisation of the central room atom in the following species, NH₃, [PtCl₄]²⁻, PCl₅ and BCl₃ is respectively

A.
dsp², dsp³, sp², sp³
B.
sp³, dsp², dsp³, sp²
C.
dsp², sp², sp³, dsp³
D.
dsp², sp³ sp², dsp³

Solution:

QUESTION: 38

The types of bonds present in CuSO₄.5H₂O are

A.
Electrovalent and covalent only
B.
Electrovalent and co-ordinate covalent only
C.
Electrovalent, covalent, co-ordinate covalent and hydrogen bonds
D.
Covalent and co-ordinate covalent only

Solution:

QUESTION: 39

Latent heat of vaporisation of a liquid at 500 K and 1 atm pressure is 10.00 Kcal/mol. What will be the change in internal energy (ΔU) of 3 mol of liquid at same temperature ?

A.
13.0 Kcal
B.
-13.0 Kcal
C.
27.0 Kcal
D.
-27.0 Kcal

Solution:

Vaporization of 3 moles of H₂O vapors is: 3H₂O(l) → 3H₂O(g)
Δn = 3 - 0 = 3
Therefore,
ΔU = ΔH - ΔnRT
= (3 x 10) - 3(0.002)(500) = 27
change in internal energy is:
ΔU = 27 Kcal

QUESTION: 40

A liquid is in equilibrium with its vapour at its boiling point. The molecules in these two phases will have equal

A.
kinetic energy
B.
potential energy
C.
internal energy
D.
intermolecular energy

Solution:

QUESTION: 41

If 75% of first order reaction is completed in 32 min, then 50% of the reaction would be completed in

A.
16 min
B.
24 min
C.
10 min
D.
20 min

Solution:

QUESTION: 42

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

A.
-44 kcal
B.
-88 kcal
C.
-22 kcal
D.
-11 kcal

Solution:

QUESTION: 43

The enthalpy and entropy change for a chemical reaction are -2.5 X 10³ J-mol⁻¹ and 7.4 J-K⁻¹-mol⁻¹ respectively. The reaction at 298 K is

A.
reversible
B.
irreversible
C.
spontaneous
D.
non-spontaneous

Solution:

QUESTION: 44

In an endothermic reaction, the value of ∆H is

A.
Zero
B.
Positive
C.
Negative
D.
Constant

Solution:

QUESTION: 45

IUPAC name of CH₂ = CH - CH is

A.
Ethernenitrile
B.
Vinyl cyanide
C.
Cyanoethene
D.
2-Propenenitrile

Solution:

QUESTION: 46

Eka-aluminium and eka-silicon are known as

A.
Gallium and Germanium
B.
Aluminium and silicon
C.
Iron and sulphur
D.
Proton and silicon

Solution:

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.

QUESTION: 47

The atomic radius of elements of which of these would be nearly same

A.
Na, K, Rb, Cs
B.
Li, Be, B, C
C.
Fe, Co, Ni, Cu
D.
F, Cl, Br, I

Solution:

The atomic radii of the d- block elements of a given series decrease with increase in atomic number but this decrease becomes small after midway. The decrease in atomic radii in the beginning, is due to an increase in nuclear charge from member to member which tends to reduce the size. At the same time, the addition of extra electrons to (n-1)d orbitals also provides the screening effect. As the number of d-electrons increases, the screening effect increases. Thus, there are operating two effects namely screening effect and nuclear charge effect which oppose each other. In the midway onwards of the series both these effects become nearly equal and thus, there is no change in atomic radii inspite of the fact that atomic number increases gradually.

QUESTION: 48

Low spin octahedral complexes are maximum distorted in which of the following state?

Solution:

whenever e_g orbitals unsymmetrical, i.e., contain 1,2 or 3 electons in low spin complex strong distortion occurs leading to tetrgonal or square planer complexes. Since the direction of the e_g orbitals of the central metals ion correspond with the directions of the ligands disposed octahedrally around the metal ion, the octahedral arrangement of the ligands is likely to be more severely distorted by the dissymmetry of the e_g orbitals than that of the t_2g orbitals.

QUESTION: 49

Which of the following factors may be regarded as the main cause of lanthanide contraction?

A.
poorer sheilding of 5d electrons by 4f electrons
B.
greater sheilding of 5d electrons by 4f electrons
C.
poor sheilding of one 4f electron by another in the subshell
D.
effective sheilding of one 4f electrons by another in the subshell

Solution:

QUESTION: 50

In alkaline medium ClO₂ oxidises H₂O₂ to O₂ and itself gets reduced to Cl⁻.How many moles of H₂O₂ are oxidised by 1 mole of ClO₂ ?

A.
1.0
B.
1.5
C.
2.5
D.
3.5

Solution:

QUESTION: 51

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

A.
+ 1.17 V
B.
+0.35 V
C.
-1.17V
D.
-0.35 V

Solution:

QUESTION: 52

50 mL of hydrogen diffues through a small hole from a vessel in 20 min .The time needed for 40 mL of oxygen to diffuses out is

A.
12 min
B.
64 min
C.
8 min
D.
32 min

Solution:

QUESTION: 53

Basicity of orthophosphoric acid is

A.
2
B.
4
C.
3
D.
5

Solution:

QUESTION: 54

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

A.
It is a strong oxidizing as well as reducing agent in acidic as well as basic medium
B.
It is decomposed by MnO₂
C.
It is more stable in a basic solution
D.
It behaves as a reducing agent towards acidified KMnO₄

Solution:

QUESTION: 55

Reaction C₂H₅I + C₅H₁₁I + 2Na → C₂H₅ - C₅H₁₁ + 2NaI is called

A.
Hofmann reaction
B.
Dow's reaction
C.
Wurtz reaction
D.
Reimer Tiemann reaction

Solution:

QUESTION: 56

When wine is put in air, it becomes sour due to

A.
Bacteria
B.
Oxidation of C₂H₅OH into CH₃COOH
C.
Virus
D.
Formic acid formation

Solution:

QUESTION: 57

Arrange the following halides in the decreasing order of S_N1 reactivity.

A.
I > II > III
B.
II > I > II
C.
II > III > I
D.
III > I > II

Solution:

QUESTION: 58

In order to get Bakelite from phenol which of the following reagents is required?

A.
HCHO
B.
CHCl₃/NaOH
C.
CCl₄/NaOH
D.
HCHO/H ⁺ or OH⁻

Solution:

QUESTION: 59

Arrange these compounds in order of increasing S_N1 reaction rate :

A.
IV < II < III < I
B.
I < I I < III < IV
C.
IV < I < III < II
D.
IV < I < III < II

Solution:

QUESTION: 60

The Fisher projections shown to the right are

A.
enantiomers
B.
diastereomers
C.
the same molecule
D.
It is impossible to answer this question from Fisher projections alone

Solution:

QUESTION: 61

The particles which can be added to the nucleus of an atom without changing its chemical properties are called

A.
Electrons
B.
Protons
C.
Neutrons
D.
None of these

Solution:

QUESTION: 62

The half-life of radium is about 1600 years. If 100 g of radium is existing now, then 25 g will remain unchanged after

A.
2400 years
B.
3200 years
C.
4800 years
D.
6400 years

Solution:

QUESTION: 63

Two wires of equal diameters of resistivities ρ₁ and ρ₂ and lengths X₁ and X₂ respectively are joined in series. The equivalent resistivity of the combination is

Solution:

QUESTION: 64

Resistance of a coli is 4.2 Ω at 100ºC and the temperature coefficient of resistance of its material is 0.004/ºC. Then its resistance at 0ºC is

A.
5 Ω
B.
3 Ω
C.
4 Ω
D.
3.5 Ω

Solution:

QUESTION: 65

In a discharge tube at 0.02 mm, there is formation of

A.
Faraday's dark space
B.
Crooke's dark space
C.
Both spaces partly
D.
Crooke's dark space with glow near the electrodes

Solution:

QUESTION: 66

The approximated wavelength of a photon of energy 2.48eV is

A.
500Å
B.
5000Å
C.
2000Å
D.
1000Å

Solution:

QUESTION: 67

According to Maxwell's hypothesis, a changing electric field gives rise to

A.
an e.m.f
B.
electric current
C.
magnetic field
D.
pressure radiant

Solution:

QUESTION: 68

Two charged spheres separated by a distance 'd' exert some force (F) on each other. If they are immersed in a liquid of dielectric constant 4, then what is the force exerted, if all other conditions are same?

A.
2F
B.
4F
C.
F/2
D.
F/4

Solution:

QUESTION: 69

The orbital velocity a satellite near the surface of the earth is 7 km-s⁻¹. If radius of the orbit is 4 times the radius of earth, then its orbital velocity will be

A.
3.5 km-s⁻¹
B.
7 km-s⁻¹
C.
7√2 km-s⁻¹
D.
14 km-s⁻¹

Solution:

QUESTION: 70

Two capacitors of capacitances 3 μF and 6 μF are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each capacitor will be

A.
6 V
B.
4 V
C.
3 V
D.
zero

Solution:

QUESTION: 71

If the value of g at the surface of the earth is 9.8 m/sec², then the value of g at a place 480 km above the surface of the earth will be

A.
8.4 m/sec²
B.
9.8 m/sec²
C.
7.2 m/sec²
D.
4.2 m/sec²

Solution:

QUESTION: 72

On increasing the temperature of a substance gradually, which of the following colours will be noticed by you

A.
White
B.
Yellow
C.
Green
D.
Red

Solution:

QUESTION: 73

When a bus suddenly takes a bend, the passengers are thrown in the outward direction, due to

A.
inertia of motion
B.
speed of motion
C.
acceleration of motion
D.
both '2' and '3'

Solution:

QUESTION: 74

Heat travels through vacuum by

A.
Conduction
B.
Convection
C.
Radiation
D.
Both (a) and (b)

Solution:

QUESTION: 75

A moving charge will gain energy due to the application of

A.
electric field
B.
magnetic field
C.
both of these
D.
none of these

Solution:

QUESTION: 76

For a moving body at any instant of time

A.
If the body is not moving, the acceleration is necessarily zero
B.
If the body is slowing, the retardation is negative
C.
If the body is slowing, the distance is negative
D.
If displacement, velocity and acceleration at that instant are known, we can find the displacement at any given time in future

Solution:

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 ?

A.
3 cm
B.
2√2
C.
1 cm
D.
√2 cm

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): The combination Y = sinωt + cos 2ωt is not a simple harmonic function even though it is periodic.
Reason(R): All periodic functions satisfy the relation

A.
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of assertion
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

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): The equation y = x + t cannot be true, where x, y are distance and t is time.
Reason(R) : Quantities with different dimensions cannot be added.

A.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

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): P-T graphs of all gases at low density meet at only one point called absolute zero.
Reason(R): Absolute zero is less than 0ºC in a celsius scale.

A.
Both Assertion and Reason are true and Reason is the correct explanation of assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of assertion
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

Solution:

QUESTION: 81

According to kinetic theory of gases the absolute temperature of a gas is directly related to the average of

A.
internal energy of gas molecules
B.
kinetic energy of gas molecules
C.
potential energy of gas molecules
D.
gravitational energy of gas molecules

Solution:

QUESTION: 82

A glass rod is dipped in mercury and withdrawn out, the mercury does not wet the rod because

A.
angle of contact is acute
B.
cohesion force is more
C.
adhesion force is more
D.
density of mercury is more

Solution:

QUESTION: 83

While viewing a distant object with a telescope, suddenly a housefly sits on objective lens. The correct statement is that

A.
Housefly will be seen enlarged in image
B.
Housefly will be seen reduced in image
C.
Intensity of image will be decreased
D.
Intensity of image will be increased

Solution:

QUESTION: 84

To move a body in a circle, which of the following force is needed?

A.
centrifugal
B.
gravitational
C.
centripetal
D.
em force

Solution:

QUESTION: 85

A long spring when stretched by 'x' cm has a potantial energy V. On increasing the stretching to 'nx' cm the potential energy stroed in the spring will be

A.
V/n
B.
nV
C.
n²V
D.
V/n²

Solution:

QUESTION: 86

To hear an echo, the reflecting surface must be at a minimum distance of

A.
10m
B.
16.5m
C.
33m
D.
66m

Solution:

To hear the echo distinctly, the time gap between the two sounds must be 0.1 s.
Let the distance between the listener and the reflecting surface be d
The total distance travelled by the sound = 2d

Thus the minimum distance between the listener and the reflecting surface to hear the echo in air is 16.5 m (when the velocity of sound through air is 330 ms^-1)