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VITEEE PCME Mock Test - 10

125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 10

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This mock test of VITEEE PCME Mock Test - 10 for JEE helps you for every JEE entrance exam. This contains 125 Multiple Choice Questions for JEE VITEEE PCME Mock Test - 10 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE PCME Mock Test - 10 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE PCME Mock Test - 10 exercise for a better result in the exam. You can find other VITEEE PCME Mock Test - 10 extra questions, long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

The maximum value of logx/x in (2, ∞) is

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

Solution:

QUESTION: 2

The area in square units of the region bounded by the curves x² = 4y, the line x = 2 and the x-axis is

A.
1
B.
2/3
C.
4/3
D.
8/3

Solution:

The required area

QUESTION: 3

The polar form of the complex number (i²⁵ )³ is

A.
cos(π/2)+(isin π/2)
B.
cos π - i sin π
C.
cos π + i sin π
D.
(cos π/2) - (i sin π/2)

Solution:

QUESTION: 4

If [(1+i)/(1-i)]^m = 1, the least value of m is

A.
2
B.
4
C.
8
D.
3

Solution:

QUESTION: 5

A.
1 + x + y + z
B.
x + y + z
C.
0
D.
None

Solution:

QUESTION: 6

Let [ ] denote the greatest integer function and f(x) = [tan²x]. Then

A.
lim _{x → 0} f(x) does not exist
B.
f(x) is continuous at x = 0
C.
f(x) is not differentiable at x = 0
D.
f(x) = 1

Solution:

QUESTION: 7

The area bounded by two curves y²=4ax and x²=4ay is

A.
(32/3)a² sq.unit
B.
(16/3)sq.unit
C.
(32/3)sq.unit
D.
(16/3)a² sq.unit

Solution:

QUESTION: 8

A.
0
B.
1
C.
abc
D.
a + b + c

Solution:

QUESTION: 9

Consider f (x) = x²/| x | , x ≠ 0, f(x) = 0, x = 0

A.
f(x) is discontinuous everywhere
B.
f(x) is continuous everywhere
C.
f ′(x) exists in (− 1,1)
D.
f ′(x) exists in (− 2,2)

Solution:

QUESTION: 10

The differential equation of the family of curves y²=4a (x+a) is

A.
y²=4 dy/dx (x+dy/dx)
B.
y²(dy/dx)²+2xy dy/dx-y²=0
C.
2y dy/dx =4a
D.
y² dy/dx+4y=0

Solution:

QUESTION: 11

The solution of the equation (1+x²)(1+y)dy+(1+x)(1+y²)dx=0 is

A.
tan^-1x+log(1+x²)+tan^-1y+log(1+y²)=c
B.
tan^-1x-(1/2)log(1+x²)+tan^-1y-(1/2)log(1+y²)=c
C.
tan^-1x+(1/2)log(1+x²)+tan^-1y+(1/2)log(1+y²)=c
D.
none of these

Solution:

QUESTION: 12

Which equation has the solution, y = 4sin3x?

A.
(dy/dx)+8y=0
B.
(dy/dx)-8y=0
C.
(d²y/dx²)+9y=0
D.
(d²y/dx²)-9y=0

Solution:

QUESTION: 13

Let A = { x ∈ R : x ≠ 0, − 4 ≤ x ≤ 4 } and f : A → R is defined by f (x) = | x |/x for x ∈ A . Then the range of f is

A.
{1, -1}
B.
{ x : 0 ≤ x ≤ 4 }
C.
{1}
D.
{ x : − 4 ≤ x ≤ 0 }

Solution:

QUESTION: 14

The solution of (x + y + 1) dy/dx = 1 is

A.
y = (x + 2) + ce^x
B.
y = − (x + 2) + ce^x
C.
x = − (y + 2) + ce^y
D.
x = (y + 2)² + ce^y

Solution:

⇒ z - log(z + 1) = x + c ⇒ x + y + 1 = log(x + y + 2) + x + c ⇒ y = log(x + y + 2) + log c
⇒ e^y = (x + y + z)c ⇒ x + y + 2 = ce^y

QUESTION: 15

∫tan^-1[(2x)/(1-x²)]dx=

A.
x tan^-1x+c
B.
x tan^-1x-log(1+x²)+c
C.
2xtan^-1x+log(1+x²)+c
D.
2x tan^-1x-log(1+x²)+c

Solution:

QUESTION: 16

∫[(3x³-2√x)/(x)] dx =

A.
x³-√x+c
B.
x³+√x+c
C.
x³-2√x+c
D.
x³-4√x+c

Solution:

QUESTION: 17

The derivative of

Solution:

QUESTION: 18

tan[(1/2)cos^-1(√5/3)]=

A.
[(3-√5)/2]
B.
[(3+√5)/2]
C.
[2/(3-√5)]
D.
[2/(3+√5)]

Solution:

QUESTION: 19

What is the value of

A.
2
B.
1
C.
1/2
D.
∞

Solution:

QUESTION: 20

if f(m) = 3, f^'(m) = 2, g(m) = - 1 and g'(m) = 2 is

A.
5
B.
6
C.
7
D.
8

Solution:

QUESTION: 21

Which of the following is not a statement ?

A.
Roses are red
B.
New Delhi is in India
C.
Every square is a rectangle
D.
Alas ! I have failed

Solution:

QUESTION: 22

All diagonal elements of skew symmetric matrix are

A.
distinct
B.
0
C.
1
D.
some zero and some non-zero

Solution:

QUESTION: 23

The number of ways in which a committee of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains atleast 3 ladies is

A.
252
B.
672
C.
444
D.
420

Solution:

A committee of 6 members is to formed from 8 gentlemen and 4 ladies by taking
(i) 3 lady out of 4 and 3 gentlemen out of 8
(ii) 4 lady out of 4 and 2 gentlemen out of 8
In case (i) the number of ways = ⁴c₃ x ⁸c₃
= 4 x 56 = 224
In case (ii) the number of ways = ⁴c₄ x ⁸c₂
= 1 x 28 = 28
Hence, the required number of ways = 224 + 28 = 252

QUESTION: 24

If three distinct numbers are chosen randomly from the first 100 natural numbers, then the probability that all three of them are divisible by both 2 and 3, is

A.
4/55
B.
4/35
C.
4/33
D.
4/1155

Solution:

QUESTION: 25

If A and B are square matrices of the same order, then

A.
A+B=B+A
B.
A+B=A-B
C.
A-B=B-A
D.
AB=BA

Solution:

QUESTION: 26

If A and B are two events such that P(A) = p, P(B) = q, P (A ∩ B) = r , then the probability that A occurs but B does not occur, is

A.
p − r
B.
p − q
C.
p − q r
D.
p − p q

Solution:

QUESTION: 27

If A and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36. The probabilities P(A) and P(B) are respectively

A.
0.6, 0.6
B.
0.8, 0.2
C.
0.4, 0.4
D.
0.9, 0.4

Solution:

QUESTION: 28

In Δ A B C , If a² + b² + c² = 8 R² , then the triangle is

A.
Right angled
B.
Isosceles
C.
Equilateral
D.
None

Solution:

QUESTION: 29

If b + c, c + a, a + b are in H.P., then a², b², c² will be in

A.
A.P
B.
G.P
C.
H.P
D.
none of these

Solution:

QUESTION: 30

Mode is approximately given by

A.
2 median - 3 mean
B.
2 median + 3 mean
C.
3 median - 2 mean
D.
3 median + 2 mean

Solution:

QUESTION: 31

The S.D. of 5 scores 1,2,3,4,5 is

A.
2/5
B.
3/5
C.
√2
D.
√3

Solution:

QUESTION: 32

The condition for the roots of the equation (c²-ab)x²-2(a²-bc)x+(b²-ac)=d are equal, is

A.
a=0
B.
b=0
C.
c=0
D.
none of these

Solution:

QUESTION: 33

If α,β are the roots of equation x+1=λx(1-λx) and two values of λ can be determined from the equation (α/β)+(β/α)=π-2, then (λ₁²/λ₂²)+(λ₂²/λ₁²)+2=

A.
4[(π+1)/(π-1)]²
B.
4[(π-1)/(π+1)]²
C.
4[(π+2)/(π-1)]²
D.
4[(π+1)/(π-2)]²

Solution:

QUESTION: 34

The general value of θ which satisfies tanθ=-1 and cosθ=(1/√2) the equations is

A.
nπ + (7π/4)
B.
nπ - (7π/4)
C.
2nπ + (7π/4)
D.
2nπ - (7π/4)

Solution:

QUESTION: 35

The angle between the line (x + 1)/3 = (y - 1)/2 = (z - 2)/4 and the plane 2x + y - 3z + 4 = 0 is

A.
sin^-1(-4/√406)
B.
cos⁻¹(-4/√406)
C.
sin^-1(-2/√406)
D.
none of these

Solution:

QUESTION: 36

The slope of the tangent at the point (h, h) of the circle x² + y² = a²is

A.
0
B.
1
C.
-1
D.
Depends upon h

Solution:

QUESTION: 37

The distance of the point (2, 1, -1) from the plane x - 2y + 4z = 9 is

A.
√13/21
B.
13/21
C.
13/√21
D.
√(13/21)

Solution:

QUESTION: 38

The equation y² - x² + 2x - 1 = 0 represents

A.
A pair of straight lines
B.
A circle
C.
A parabola
D.
An ellipse

Solution:

QUESTION: 39

The angle between the vectors 3i+j+2k and 2i-2j+4k is

A.
cos^-12/√7)
B.
sin^-1(2/√7)
C.
cos^-1(2/√5)
D.
sin^-1(1/√7)

Solution:

QUESTION: 40

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

A.
90⁰
B.
60⁰
C.
180⁰
D.
0⁰

Solution:

QUESTION: 41

An ideal transformer has 500 and 5000 turns in primary and secondary windings respectively. If the primary voltage is connected to a 6V battery then the secondary voltage is

A.
0
B.
60 V
C.
0.6 V
D.
6.0 V

Solution:

QUESTION: 42

X - rays are

A.
Electrons
B.
Protons
C.
Light of less wavelength
D.
Light of high wavelength

Solution:

QUESTION: 43

To a charged particle, which is moving with a constant initial velocity

\vec{V}

, a uniform magnetic field is applied in the direction of velocity; then

A.
The particle moves in spiral path
B.
The particle moves in circular path
C.
The particle moves in a parabolic path
D.
There is no change in the motion of particle

Solution:

QUESTION: 44

A parallel plate capacitor is charged. If the plates are pulled apart

A.
the capacitance increases.
B.
the potential difference increases.
C.
the total charge increases.
D.
the charge and potential difference remain the same.

Solution:

QUESTION: 45

In short wave communication waves of which of the following frequencies will be reflected back by the ionospheric layer having electron density 10¹¹ per m^-3?

A.
2 MHz
B.
10 MHz
C.
12 MHz
D.
18 MHz

Solution:

N max = 10¹¹ per m^-3

QUESTION: 46

The masses of three wires of copper are in ratio 1 : 2 : 3 and their length are in the ratio 3 : 2 : 1. The ratio of their resistances is

A.
1:2:3
B.
3:2:1
C.
1:6:27
D.
27:6:1

Solution:

QUESTION: 47

If 96500 C of electricity liberates one gram equivalent of any substance, the time taken for a current of 0.15 A to deposit 20 mg of copper from a solution of copper sulphate is (chemical equivalent of copper = 32)

A.
5 min 20 s
B.
6 min 42 s
C.
4 min 40 s
D.
5 min 50 s

Solution:

QUESTION: 48

A microammeter has a resistance of 100 Ω and full scale range of 50 μA. It can be used as a voltmeter or as a higher range ammeter provided a resistance is added to it. Pick the correct range and resistance combination

A.
50 V range with 10 kΩ resistance in series
B.
10 V range with 200 kΩ resistance in series
C.
10 mA range with 1 Ω resistance in parallel
D.
10 mA range with 0.1 Ω resistance in parallel

Solution:

QUESTION: 49

When a wire of resistance R is stretched and its radius becomes r/2, then the new resistance will be

A.
16 R
B.
4 R
C.
2 R
D.
R

Solution:

QUESTION: 50

The resistance of a galvanometer coil is R. What is the shunt resistance required to convert it into an ammeter of range 4 times

A.
R/5
B.
R/4
C.
R/3
D.
4 R

Solution:

QUESTION: 51

Photoelectric effect proves the

A.
wave nature of light
B.
wave nature of electron
C.
particle nature of light
D.
particle nature of electron

Solution:

QUESTION: 52

What is self inductance of a which produces 5 V, when current in it changes from 3 A to 2 A in one millisecond ?

A.
5000 H
B.
5 mH
C.
50 H
D.
5 H

Solution:

QUESTION: 53

The core of a transformer is laminated so that

A.
Ratio Es/Ep is increased
B.
Rusting of core may be stopped
C.
Energy losses due to eddy currents be reduced
D.
Change in flux is increased

Solution:

QUESTION: 54

A step up transformer operates on a 230 volt line and supplies 2 amp to a load. The ratio of primary and secondary windings is 1:25. Determine the primary current .

A.
12.5 amp
B.
50 amp
C.
8.8 amp
D.
25 amp

Solution:

QUESTION: 55

An accelerated electron would produce

A.
γ-rays
B.
β-rays
C.
α-rays
D.
e.m.rays

Solution:

QUESTION: 56

A charge q is placed at the corner of a cube of side l. The electric flux passing through the cube is

A.
$\frac{q_{}}{\in_{0}}$
B.
$\frac{q_{}}{{6∈}_{0}}$
C.
$\frac{q_{}}{{8∈}_{0}}$
D.
$\frac{q_{}}{{32∈}_{0}}$

Solution:
Eight cubes, each side l, are required to form a Gaussian surface
So that the charge q at the corner of a small cube appears at the centre of the bigger cube
According to Gauss's law, the electric flux through the bigger cubes =

\frac{q_{}}{\in_{0}}

Hence the electric flux through the given small cube =

\frac{q_{}}{{8∈}_{0}}

QUESTION: 57

Two charges -10 C and + 10 C are placed 10cm apart. Potential at the centre of the line joining two charges is

A.
zero
B.
2 V
C.
-2 V
D.
none of these

Solution:

QUESTION: 58

Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining centre to this point makes an angle θ with the axis of the dipole, then potential at the point P is given by

A.
V = p cos θ/4 π ∈₀ r²
B.
V = p cos θ/4 π ∈₀ r
C.
V = p sn θ/4 π ∈₀ r
D.
V = p cos θ/4 π ∈₀ r²

Solution:

QUESTION: 59

Figure shows an electric line of force which curves along a circular arc. The magnitude of electric field intensity is same at all points on this curve and is equal to E. If the potential at A is V, then the potential at B is:

A.
V - ERθ
B.
V + ERθ
C.
$V - 2 E R \sin \frac{θ}{2}$
D.
$V + 2 E R \sin \frac{θ}{2}$

Solution: V = - ∫ E - dr
⇒ V_B - V_A = - ERθ
V_B = V - ERθ

QUESTION: 60

At a point A, there is an electric field of 500 V-m⁻� and potential difference of 3000 V. The distance between the point charge and the point A is

A.
6 m
B.
12 m
C.
36 m
D.
144 m

Solution:

QUESTION: 61

Two charges 'Q' and 'Q' are kept at a distance 'd' .The charge 'q' is kept at the midpoint of line joining the charges. The magnitude of 'q' to keep the system in equilibrium is

A.
− Q/4
B.
Q/4
C.
Q/2
D.
− Q/2

Solution:

QUESTION: 62

A straight wire of diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm diameter carrying the same current. The strength of magnetic field far away is

A.
twice the earlier value
B.
half of the earlier value
C.
quarter of its earlier value
D.
unchanged

Solution:

QUESTION: 63

The function of the moderator in a nuclear reactor is

A.
to absorb fast neutrons
B.
to adjust the power output to moderate levels.
C.
to slow down fast neutrons.
D.
to absorb slow neutrons.

Solution:

QUESTION: 64

In a fission of U²³⁵ nucleus on average ----- neutrons are released.

A.
3
B.
2
C.
2.5
D.
5

Solution: When U²³⁵ is bombarded by a neutron, it splits into barium,
Krypton and 2 or 3, so average 2.5 neutrons per fission

QUESTION: 65

A heavy nucleus at rest breaks into two fragments which fly off with velocities 8:1. The ratio of radii of the fragments is

A.
1:2
B.
1:4
C.
4:1
D.
2:1

Solution:

QUESTION: 66

The minimum energy required to remove an electron is called

A.
Stopping potential
B.
Kinetic energy
C.
Work function
D.
None of these

Solution:

QUESTION: 67

The maximum energy received by the earth from the sun is in the form of

A.
X-rays
B.
$α − rays$
C.
Ultraviolet rays
D.
Infrared-rays

Solution:

QUESTION: 68

The threshold wavelength is 2000 Å. The work function is

A.
6.25 eV
B.
6.2 eV
C.
6.2 MeV
D.
6.2 KeV

Solution:

QUESTION: 69

The eye-piece used in biological microscope is

A.
Ramsden's eye-piece
B.
Kellner eye-piece
C.
Gaussian eye-piece
D.
Huygen's eye-piece

Solution:

QUESTION: 70

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

A.
base
B.
emitter
C.
collector
D.
none of these

Solution:

QUESTION: 71

Pick out the incorrect statement regarding reverse saturation current in a p - n junction diode.

A.
This current doubles for every 100 ⁰C rise in temperature
B.
This current is due to minority carriers
C.
The current carriers are produced by thermal agitation
D.
Reverse saturation current is also known as leakage current

Solution:

QUESTION: 72

In an intrinsic - semiconductor the charge carriers responsible for electrical conduction are

A.
Electrons
B.
Holes
C.
Both electrons and holes
D.
None

Solution:

QUESTION: 73

In a P-type semiconductor, germanium is doped with

A.
Boron
B.
Gallium
C.
Aluminium
D.
All of these

Solution:

QUESTION: 74

The most commonly used material for making transistor is

A.
Copper
B.
Silicon
C.
Ebonite
D.
Silver

Solution:

QUESTION: 75

When a semiconductor is continuously heated the value of its resistance

A.
increases
B.
decreases
C.
decreases and then increases
D.
remains unchanged

Solution:

QUESTION: 76

In N-type semiconductors, majority charge carriers are

A.
Holes
B.
Protons
C.
Neutrons
D.
Electrons

Solution:

QUESTION: 77

In a biprism expt., by using light of wavelength 5000 Å, 5 mm wide fringes are obtained on a screen 1.0 m away from coherent sources. The separation between two coherent sources is

A.
1.0 mm
B.
0.1 mm
C.
0.05 mm
D.
0.01 mm

Solution:

QUESTION: 78

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

A.
(2 n + 1) λ
B.
2nπ
C.
nλ
D.
(2n + 1)λ/2

Solution:

QUESTION: 79

A train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station is

A.
(1 + ν/c)f₀
B.
c/ν f₀
C.
ν/c f₀
D.
(c - ν/c) f₀

Solution:

QUESTION: 80

In the propagation of light waves, the angle between the direction of vibration and plane of polarisation is

A.
0⁰
B.
90⁰
C.
45⁰
D.
80⁰

Solution:

QUESTION: 81

Final product formed on reduction of glycerol by hydriodic acid is

A.
Propane
B.
Propanoic acid
C.
Propene
D.
None of these

Solution:

QUESTION: 82

Two moles of an aldehyde react with concentrated solution of sodium hydroxide and produce one mole of acid and one mole of alcohol. The aldehyde is

A.
Acetaldehyde, CH₃CHO
B.
Formaldehyde, HCHO
C.
Propionaldehyde, CH₃CH₂CHO
D.
All the three above.

Solution:

QUESTION: 83

In Cannizzaro's reaction

A.
Aldehyde is converted into alcohol
B.
Alcohol is converted into aldehyde
C.
Primary amine is converted into isocyanide
D.
Aldehyde is converted into alcohol and sodium carboxylate

Solution:

QUESTION: 84

Which of the following method is most appropriate for the manufacture of methane?

A.
By reduction of CH₂Cl₂
B.
Wurtz reaction
C.
Liquification of natural gas
D.
None of these

Solution:

QUESTION: 85

Formalin is an aqueous solution of

A.
Fluorescein
B.
Formic acid
C.
Formaldehyde
D.
Furfuraldehyde

Solution:

QUESTION: 86

Propene is reacted with HBr in presence of peroxide, the product is

A.
2-bromopropane
B.
1-bromopropane
C.
3-bromopropane
D.
None of these

Solution:

QUESTION: 87

Which one of the following compounds is not a vitamin?

A.
Ascorbic acid
B.
Thiamine
C.
Testosterone
D.
Riboflavin

Solution:

QUESTION: 88

The mass of 112 cm³ of CH₄ gas at STP is

A.
0.16 g
B.
0.8 g
C.
0.08 g
D.
1.6 g

Solution:

QUESTION: 89

Sodium ethoxide reacts with ethyl acetate to

A.
Ethyl acetoacetate
B.
Ethyl ether
C.
Ethyl alcohol
D.
Acetic acid

Solution:

QUESTION: 90

The reagent which forms crystalline osazone derivative when reacted with glucose is

A.
Fehling solution
B.
Phenylhydrazine
C.
Benedict solution
D.
Hydroxylamine

Solution:

QUESTION: 91

4.4 g of an unknown gas occupies 2.24 L of volume at standard temperature and pressure. The gas may be

A.
Carbon dioxide
B.
Carbon monoxide
C.
Oxygen
D.
Sulphur dioxide

Solution:

QUESTION: 92

Scurvy is caused due to deficiency of

A.
vitamin B₁₂
B.
vitamin B₂
C.
ascorbic acid
D.
glutamic acid

Solution:

QUESTION: 93

A cylinder filled with a movable piston contains liquid water in equilibrium with water vapour at 25⁰C. Which one of the following operations results in a decreace in the equilibrium vapour pressure ?

A.
Moving the piston downward a short distance
B.
Removing a small amount of vapour
C.
Removing a small amount of the liquid water
D.
Dissolving salt in the water

Solution:

QUESTION: 94

The enthalpy of a solution of KNO₃ is + 35.64 kJ. This denotes

A.
Abosorption of heat
B.
Liberation of heat
C.
No heat change
D.
The electrolyte is unstable

Solution:

QUESTION: 95

Hydrolysis of benzonitrite by dilute HCl yields

A.
Aniline
B.
Benzoic acid
C.
Benzamide
D.
Benzaldehyde

Solution:

QUESTION: 96

Hess's law deals with

A.
Changes in heat of reaction
B.
Rate of reaction
C.
Equilibrium constant
D.
Influence of pressure on volume of a gas

Solution:

QUESTION: 97

In a reversible reaction, the catalyst

A.
increases activation energy of forward reaction
B.
decreases activation energy of forward reaction
C.
increases activation energy of backward reaction
D.
decreases activation energy of both forward and backward reactions

Solution:

QUESTION: 98

The acid showing salt like character in aqueous solutions is

A.
Acetic acid
B.
Benzoic acid
C.
Formic acid
D.
α-Aminoacetic acid

Solution:

QUESTION: 99

Adiabatic process involves

A.
∆Q=0
B.
∆W=0
C.
∆E=0
D.
∆V=0

Solution:

QUESTION: 100

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

A.
Methanoic acid
B.
Ethanoic acid
C.
Methylamine
D.
Methyl alcohol

Solution:

QUESTION: 101

The d-electron configurations of Cr²⁺, Mn²⁺, Fe²⁺ and Ni²⁺ are 3d⁴, 3d^{5, 3d⁶} and 3d⁸ respectively. Which one of the following aqua complexes will exhibit the minimum paramagnetic behaviour?
(At No. Cr = 24, Mn = 25, Fe = 26, Ni = 28)

A.
[ CrH₂O₆]²⁺
B.
[ MnH₂O₆]²⁺
C.
[ FeH₂O₆]²⁺
D.
[ NiH₂O₆]²⁺

Solution:

QUESTION: 102

The ingredient used as vehicle in perfumery is

A.
water
B.
ether
C.
alcohol
D.
benzene

Solution:

QUESTION: 103

Copper sulphate dissolves in excess of KCN to give

A.
[ CuCN₄ ]^2-
B.
CuCN₂
C.
CuCN
D.
[ CuCN₄ ]^-3

Solution:

QUESTION: 104

The IUPAC name of CH₃-C≡C-CH(CH₃)₂ is

A.
4-Methyl-pent-2-yne
B.
4,4′-Dimethyl-but-2-yne
C.
Isopropylmethylacetylene
D.
2-Methylpent-2-yne

Solution:

QUESTION: 105

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

A.
CH₃OH
B.
H₃PO₂
C.
Br₂-H₂O
D.
LiAlH₄

Solution:

QUESTION: 106

At STP,1.12 litre of H₂ is obtained on flowing a current for 965 seconds in a solution.The value of current is

A.
10 amp
B.
1.0 amp
C.
1.5 amp
D.
2.0 amp

Solution:

QUESTION: 107

Which of the following reactions does not yield an alkyl halide?

A.
Diethyl ether + Cl₂
B.
Diethyl ether + HI
C.
Diethyl ether + PCl₅
D.
Diethyl ether + RCOCl

Solution:

QUESTION: 108

On heating quick lime with coke in an electric furnace, we get

A.
Ca and CO₂
B.
CaCO₃
C.
CaO
D.
CaC₂

Solution:

QUESTION: 109

The single electrode reactions Cd(s) → Cd + 2(aq) + 2e^- E⁰ = 0.403 V
Cu⁺² (aq) + 2 e^- → Cus E⁰ = 0.337 V can be combined to give the cell reaction
. Cd (s) → Cu⁺² (aq) → Cd⁺² (aq) + Cu s . The emf of such cell is

A.
0.74 V
B.
0.1354 V
C.
0.66 V
D.
0.066 V

Solution:

QUESTION: 110

In which of the following solutions are ions present?

A.
Sucrose in water
B.
Sulphur in CS₂
C.
Cesium nitrate in water
D.
Ethyl alcohol in water

Solution:

QUESTION: 111

When the product of pressure and volume is plotted against pressure for a given amount of the gas, the line obtained is

A.
Parallel to X-axis
B.
Parallel to Y-axis
C.
Linear with positive slope
D.
Linear with negative slope

Solution:

QUESTION: 112

Which of the following halides is the most stable?

A.
CF₄
B.
Cl₄
C.
CBr₄
D.
CCl₄

Solution:

QUESTION: 113

Among the trihalides of nitrogen which one is most basic?

A.
NF₃
B.
NCl₃
C.
Nl₃
D.
NBr₃

Solution:

QUESTION: 114

A compound contains atoms of three elements : A,B and C. If the oxidation number of A is + 2, B is + 5 and that of C is -2, the possible formula of the compound is

A.
A₃(BC₄)₂
B.
A₃(B₄C)₂
C.
ABC₂
D.
A₂(BC₃)₂

Solution:

QUESTION: 115

The intermetallic compound LiAg crystallizes in cubic lattice in which both lithium and silver have co-ordination number of eight. The crystal class is

A.
Simple cube
B.
Body centred cube
C.
Face centred cube
D.
None of the above

Solution:

QUESTION: 116

The oxide which is the anhydride of orthophosphoric acid is

A.
P₄O₁₀
B.
P₂O₅
C.
P₄O₆
D.
P₂O₃

Solution:

QUESTION: 117

The bleeding on a wound is stopped by the application of ferric chloride due to

A.
ferric chloride seals the blood vessels
B.
blood starts flowing in the opposite direction
C.
blood is coagulated and the blood vessels are sealed
D.
blood reacts and a solid is formed which seals the blood vessels

Solution:

QUESTION: 118

In the ground state, an element has 13 electrons in its "M-shell". The element is.......

A.
Copper
B.
Chromium
C.
Nickel
D.
Iron

Solution:

QUESTION: 119

The valence shell of transition elements consist of

A.
nd orbitals
B.
(n-1)d orbitals
C.
ns np nd orbitals
D.
(n-1)d ns orbitals

Solution:

QUESTION: 120

C₄H₄O₄ can be:

A.
a cyclic ester of dibasic acid
B.
a cis-dibasic acid
C.
a trans-dibasic acid
D.
all are true

Solution:

QUESTION: 121

Find the Antonym of GATHERED

A.
collected
B.
dispersed
C.
spread
D.
disappeard

Solution:

QUESTION: 122

Fill in the blank with appropriate word.
.........learning does not help the mental growth of a student.

A.
Guided
B.
Rote
C.
Assisted
D.
Fast

Solution:

QUESTION: 123

Find the synonym of ATTRIBUTE

A.
infer
B.
impute
C.
inhere
D.
inundate

Solution:

QUESTION: 124

Choose the alternative which best expresses the meaning of the idiom/phrase.

Bring forth

A.
reveal
B.
produce
C.
put forward
D.
propose

Solution:

QUESTION: 125

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

I waited for half an hour for my friend, but the train didn't TURN IN.

A.
turn about
B.
turn around
C.
turn up
D.
No improvement

Solution:

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The maximum value of logx/x in (2, ∞) is

The area in square units of the region bounded by the curves x2 = 4y, the line x = 2 and the x-axis is

The polar form of the complex number (i25 )3 is

0

60 V

0.6 V

6.0 V

Electrons

Protons

Light of less wavelength

Light of high wavelength

The particle moves in spiral path

The particle moves in circular path

The particle moves in a parabolic path

There is no change in the motion of particle

the capacitance increases.

the potential difference increases.

the total charge increases.

the charge and potential difference remain the same.

1:2:3

3:2:1

1:6:27

27:6:1

5 min 20 s

6 min 42 s

4 min 40 s

5 min 50 s

50 V range with 10 kΩ resistance in series

10 V range with 200 kΩ resistance in series

10 mA range with 1 Ω resistance in parallel

10 mA range with 0.1 Ω resistance in parallel

16 R

4 R

2 R

R

R/5

R/4

R/3

4 R

wave nature of light

wave nature of electron

particle nature of light

particle nature of electron

5000 H

5 mH

50 H

5 H

γ-rays

β-rays

α-rays

e.m.rays

q ∈ 0

q 6∈ 0

q 8∈ 0

q 32∈ 0

zero

2 V

-2 V

none of these

V - ERθ

V + ERθ

V − 2 E R sin θ 2

V + 2 E R sin θ 2

6 m

12 m

36 m

144 m

twice the earlier value

half of the earlier value

quarter of its earlier value

unchanged

to absorb fast neutrons

to adjust the power output to moderate levels.

to slow down fast neutrons.

to absorb slow neutrons.

3

2

2.5

The area in square units of the region bounded by the curves x² = 4y, the line x = 2 and the x-axis is

The polar form of the complex number (i²⁵ )³ is

$\frac{q_{}}{\in_{0}}$

$\frac{q_{}}{{6∈}_{0}}$

$\frac{q_{}}{{8∈}_{0}}$

$\frac{q_{}}{{32∈}_{0}}$

$V - 2 E R \sin \frac{θ}{2}$

$V + 2 E R \sin \frac{θ}{2}$

$α − rays$