NERIST NEE (1) 2020 Question Paper

10/1/20/A PAPER CODE : 10
EXAMINATION I
Duration: 3 Hours
Maximum Marks 1S0
Read the following Instructions carefully:
CHECK THE PAPER cODE OF THE QUESTION PAPER WITH PAPER CODE PRINTED IN
YOUR
ADMIT CARD. IF IT DOES NOT MATCH, REPORT IT IMMEDATELY TO THE
INVIGILATOR
This Question Paper contains 125 multiple choice objective type questions as follows
Section A: Physics 35 Questions (Q. No. 1-35 of 1mark each)
Section B: Chemistry 35 Questions (Q. No. 36 70 of 1 mark each) and
Section CC: Mathematics 55 Questions (Q. No. 71 100 of 1 mark each, and
Q. No. 101 - 125 of 2 marks each)

3 Attempt all questions from each Section.
4 Each question has four options (A, B. C and D). Choose the correct / most
approprnate
option (only one) for your answer by darkening the bubble with Blue / Black ball point pen
in the OMR Answer Sheet
accordingly.
For example: if your choice of answer is
B C
(A
Use of Penil on OMR Sheet is strictly Prohibited.
Darkening more than one option bubble in the OMR Answer Sheet against a Question
Number shall be treated as incorrect.
6 For every incorrect answer to a question, 25% (1/4th) of the marks carried
by that question
will be deducted. No deduction trom the total score will be made it no response is indicated
for a question in the Answer
Sheet
All rough works should be done in the space provided in the
question paper. Any rough
works/ calculations done on the OMR Sheet will lead to Cancellation of your Candidature
8 No candidate is allowed to carry any textu.al material, printed or written, bits of
paper
pager, mobile phone, any other electronic gadgets, etc. except the Admit Card in the
Examination Hall/ Room.
9. Candidates can leave the Examination Hall only atter the expiry ot one hour ot the
examination but they will not be allowed to take the Question Paper along with them
However, they can collect the Question Paper lter the completion of Exanination perioi
10 This Question Paper contains 20 printed pages. In case ot any
discrepany, please report
immediately to the Invigilator on duty in the l1alt/ Room.
11. Adoption of any kind of unfair means / malpractices in the examination hall will render the
candidate liable for cancellation of his/her candidature /admission.
12. Write your Roll No. and Name in the Bon provnded below
Roll Number
Name

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10/1/20/A

SPACE FOR ROUGH WORKS

2+3

2-3
/2a+-)A -2

2n

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SECTION A (Physics)

Question numbers 1 - 35 carry 1 mark each:

1. Parsec is the unit of
A Time B] Distance
C Frequency D Angular momentum

2 The numbers of divisions on circular scale of a screw gauge are 50. It moves 0.5 mm on
main scale in one rotation. The least count of the screw gauge is
[A] 0.1 mm B 0.001 mm
[C 0.01 mm D) 1.0 mm

3 Who discovered X- rays?
[A] Coolidge [B] Roentgen
IC Maxwell D] Fermi

A particle is projected at 600 to the horizontal with a kinetic
energy K. The kinetic energy
at the highest point is
A K/4 [B] K
C] Zero D] K/2
S. A body of mass 2kgis projected at 20 m/s at an angle of 60° above the horizontal. Power
due to gravitational force at the highest point is
A] 50 W B] 1003 w
C 200 W D Zero

6. 1 Watt is equal to
[A] 418 Calorie per second [B 1 Joule per second
C] 4.18 Joule per second [D) 41.8 Joule per second

A lens of power + 6 D is placed in contact with another lens of power 4 D. What wilI be
the nature and focal length of this combination?
A Concave, 25 cm B Convex, 50 cm
C] Concave, 20 cm [D Convex, 100 cm

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8. Isobars are
Atoms having the same nuibe Ol
B Atoms having same mass number but
A different atomic number
neutrons
Atoms having same atomic nuniber [D] None of these
IC]
but different mass number

9. In uniform circular motion
A Both velocity and acceleration are [B] Acceleration and speed are constant
Constant but velocity changes
[C] Both velocity and acceleration [D] Both acceleration and speed are
changes constant

10. When torque applied on a system is Zero, which of the following will be constant
[A] Force B Linear momentum
[C] Impulse [D] Angular momentum

11. Mercury as a thermometric substance is preferred due to
[A Over a wide range of temperature its B It does not stick to thermometer glass
expansion is uniform
C It is opaque to light D] All of the above

12. A girl swings on a cradle in a sitting position. If she stands, then the time period of girl and
cradle will
[A] Decrease B Increase
C Remain the same D First increase and then remain
constant

13. If V is the volume and P is pressure then at constant temperature the graph between V
and 1/P is
[A] Hyperbola B] Parabola
[C] A curve of any shape D A straight line

14. An observer standing at the sea coast observes S4 waves reaching the coast per minute. If
thewavelength of the waves is 10 m then its speed is
[A] 90 m/s B 90 cm/s
[C 9 m/s D] 9 cm/s

works)
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15. A particle of mass 100g is thrown vertically upwards with a speed of 5 m/sec. How much
work to be done by the force of gravity to reach the particle at the highest point?
[A
C]
1.25
- 0.5]
B 0.5
D - 1.25J

16. Nuclear force exists between
[A] Proton-Neutron B Proton-Proton
CNeutron-Neutron D All of the above

17. If the earth stops rotating, the value of gat the equator will
A] Increase B] Decrease
[C No effect D] None of these

18. Fission chain reaction in a nuclear reactor can be controlled by introducing
[A] Iron rods B Graphite rods
C) Cadmium rods [D] None of these

19 Which of the following is not due to total internal reflection oflight
[A] Brilliance of diamond [B] Working of optical fiber
[C] Difference between apparent and real [D Mirage on hot summer day
depth of a pond

20. Which one of the following is not a state function?
[A] Temperature B] Entropy
[C] Pressure D] Work
The heat of 100 J is added to a gaseous system whose internal energy is 40 J, then the
21 amount of external work done will be
[A] 70J B] 140]
IC] 40J D 30

22 The direction of propagation of an electromagnetic wave is
B] Perpendicular to both electric and
A] Perpendicular to electric field
magnetic field
Perpendicular to magnetic field D] Parallel to electric and magnetic field
IC
23. Myopia is corrected by using
[A] Convex lens B Concave lens
C Convex mirror D Concave mirror
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emis
24. A body at 1500 R cmits maximum eergy at a wivelength 20,000 A. If the sun
maximum energy at wavelength 5500 A, then the temperature of suns
A 5454R
IC 4550 K D 5400 K

25. Magnetic meridian is a
A Point |B Horizontal plane
DI Vertical plane
1C] Line along N-S
satellite is
26. The time period of a simple pendulum on a lrecly moving artilicial
IA] Zero0 B 2 Sec
IC 1 Sec D Intinite

27. A bulb of 220 V, 60 W is operated on 110V supply, then powerdeveloped in it, is

A 15 W B 30 W
C 65 w D 60 WN

would be the number of
28. 1A current is drawn by a filament of an electric bulb. What
electrons passing through a cross section ofthe
filament in 16 sec.?
101 B 102
A
IC 1020 D1

to a solenoid carrying a current. How many of
29. Three plotting compasses are placed close
II the current through the solenoid is
the compass needles will change direction.
increased? (lgnore the effect of the earth's magnetic
lield)
B 2 compass needle
A Only 1 compass needle
ICI 3 compass needle D None of the above
connected in series and then in parallel. The
30. Two heater wires of equal length are first
ratio of heat produced in the two cases is
B 2:1
A 1:2
D 4:3
C 1:4

on a sereen. When upper alt of the lens
image
31. A converging lens is used to form an
then
is covered by an opaque screen, B Complete image will be lormed with
the image will disappear
A Halfof Ssame intensity
DI onplete image will be formed with
C Half of the image will be formed with decreased intensity
same intensity
works)
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32 Which of the following celestial phenomena occurs due to stars?
1A Rainbow B] Ozone
C Black hole D Comnet

33 A small piece of wire is passed through the gap between the poles of a magnet in 0.1 sec.
An e. m. I. of 4 x 10°V is induced in the wire. The magnetic flux between the poles o the
magnet is
A 4x 10 Wb B 4x 10-2 Wb
IC 0.1 Wb D 10 Wb

34. AD. C. motor
1A Creates mechanical energy (B Creates electrical energy
IC Converts electrical1 energy into D Converts mechanical energy into
nechanical energy electrical energy

35. The group of small pieces of rock revolving round the sun between the orbits of Mars and
Jupiter are called
A Meteors B] Comets
C Meteorites D Asteroids

- - - Section-A: (Physics Paper) Ends.

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10/1/20/A Page 8 of 20 PAPER CODE 10

SECTION-B (Chemistry)
Question numbers 36-70 carry 1 mark each:
be
36. A mixture of four liquids having their boling points differing by only a few degrees, can
separatedby
[A] Separating funnel B] Steam distillation
C Fractional distillation D Distillation under reduced pressure

37. C12, C13 and C14 are called
[A] Isobars B Isotopes
IC] Isoelectronic D] Isotones

38. Homogeneous mixtures are called
[A] Mixtures B] Solutions
C Colloidal solutions [D Suspensions

39. Property of alkaline earth metals that increases with their atomic number is
[A] lonization enthalpy B] Solubility of their hydroxides
[C] Solubility of their sulphates [D] Electronegativity

40. Bohr atomic model can explain
A The spectrum of hydrogen atom only [B] Spectrum of an atom or ion containing
one electron only
] The solar spectrum
C The spectrum of hydrogen molecule

41.
41. The outermost electronic configuration of the most electronegative element is
A ns2 np2 B ns 2np
C) nsnp5 ns np6

42.
42 Which of the following orbital is not possible?
[A] 2s [B] 2p
C] 3f [D] 4d

43. The tendency towards complex formation is maximum in
A s-block elements B p-block elements
[C) d-blockelements (D] None of these

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44 Which one of the following element
has hichest first ionization potential?
[A] Boron B Carbon
[C] Nitrogen [D] Oxygen
45 Sprit of wine is called
A CH3COOH B CH3CHO
C CH3COCH3 D] CaHsOH

46 The angle between two covalent bonds is maximum in
[A] H:0 B NH3
[C CO2 D] CH4

47.
47. In N2 molecule, the atoms are bonded by
A] Onea, two t bonds [B Twoo, two t bonds
[C One o,one t bonds Three o bonds
D
48. Hydrogen bonding is not present in
[A] Glycerin B Water
[C Hydrogen Fluoride D) Hydrogen Sulphide

49 Which of the following molecule is not an exception to the octet rule?
A] BF3 B] PFs
[C CO2 D] IF7

50. Shape of H20 molecule is
A Angular B] Tetrahedral
C Trigonal bipyramidal D] Pentagonal bipyramidal
Which of the following is not a derivative of organic acids?
51.
[A] Anhydrides [B] Esters
C Amides D Amines

52 The number of molecules in 32 g of oxygen is
[A] 3.2 x 1016 B] 6.02x 1023
3.2 x 1023 D 6.02x 1010
[C]

(Space for rough works)

HTO.6.02
.
XO
AA

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10/1/20/A

For the redox reaction Mn0 + C04 + H+ - Mn2t +C02 + H20
53
The correct coeficients of the reactans" ne balanced reaction are
[A] 2MnO4+5C:042+16 H* B] 16Mn0s 5C2012-+ 2H+
[C) 5Mn04 + 16C2042+ 2H+ D 2Mn04 + 16C2042 + 5H*
One millimole of CaCO3 weight is
54
[A] 100 gm [B 1.0 mg
C] 1gm [D 0.1 gm
55. In a galvanic cell, which one of the following statements is not correct?
A Anode is negatively charged B] Cathode is positively charged
Reduction takes place at the anode
[C] D Reduction takes place at the cathode
56. The equipment used to carry out the fission reaction in a controlled manner is called
[A] Moderator B Nuclear reactor
C Nuclear fusion D] Thermonuclear fission

57 An a-particle is
[AJ An electron [B] A proton
C Apositron D A helium nucleus
58. Radioactive iodine is used in the therapy of disease related to
[A Bone [B] Kidney
[C] Blood Cancer D] Thyroid

59 The chemical formula of Plaster of paris is
TA (CaSo)2.H20 B] CaSO4.H:0
[C CaSO4. Hz0 D] CaSOo4.5H20

60 Brass is an alloy of
A] Copper and Aluminium B Copper and Iron
[CJ Copper and Magnesium [D] Copper and Zinc
61. Which of the following is used to oxidize ethanol to ethanoic acid?
A Al203 [B Pyridine
C] Acidified K:Cr:07 D All of the above

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62. or
ne monomer tetrafluroethylene can be used for the preparation
A] PMMA [B Polyurethane
D Polyethylene
IC Teflon

63 Soaps are formed by saponification of
[A] Alcohols [B] Esters of fatty acids
D Carboxylic acids
IC Glycosides
64. Number of acidic hydrogen's present in butyne-1 is
[A] 2 [B] 3
IC 4 D] 1

65. Calorific value gives the
[A] Amount of light [B] Amount of heat
C Fuel efficiency [D] None of these

66.
Which ofthe following would not decolorize 1% alkaline KMn04?
A CaH4
B C2H6
[C C2H2 [D] C3H6
67. Which fuels are used for running automobiles?
A Diesel B] Wood
C Charcoal D None of these
68. Fehling's test is positive for
[A] Acetaldehyde B] Benzaldehyde
IC] Alcohol [D] Ethers

69 The type of pollution which is likely to affect Taj Mahal in Agra to a greater extent is
[A] Water pollution B] Soil pollution
[C] Noise pollution (D] Air pollution

70. Acid rain is caused by oxides of
A Sulphur, Nitrogen B Sulphur, Carbon
C Carbon, Nitrogen D] Phosphorous, Carbon

Section-B: (Chemistry Paper) Ends -

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SECTION-C(N
(Mathematics)
-100 carry 1 mark each:
Question numbers 71
the
71 Ram covers one round of pati 46 minutes and Mohan takes 91 minutes for the
circular
sdrt from the
same point at 7:00 AM and go
in
same circular path. Suppose they botn
Ssame direction. The time of their meenng again at the starting point will be
A] 08:02 AM B] 09:03 AM
[C] 11:00AM D] 10:02 AM

b e a rational number having terminating decimal representation. Which of the
72 Let

following option is correct?
A] q = 80 B] = 24
[C] q 35 D = 81

73 If p.q are thezeros of x +ax + c,then value of p3 +qs -3ac is
A B] a3
C -a3 D] c3

One out of two zeros of the polynomial p(x) = 4V5x2 - 2V5x-2/5 lies between two real
74
numbers b and c. The possible values of b and c are
[A] b= -1, c = -2 B] b 0, c = -1 =

C] b= 5, c =6 D] None of these
The value of k for which pair of linear equations x + 2y = 1, kx + (k - 1)y = 4 have no
75.
solution,is
A) -1 [B] 1
[C]-2 D] 2

76.
The value of[1 -{1- (1 x?)-1]-1]i is-

[A] X B] 1/x
IC] 1 [D] None of these
77. Let the pair oflinear equations are 3x + 4y = a, 7x + 8y =b such that a = 0 and bb
77
0. The pair of equations have
[A No solution B Unique solution
C) Infinite solution D None ofthese
Space for rough works) w1 2y:

P+
ap4s
w A ly

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78 The length of the longest pole that can be placed in a room 12 m long. 8 m broad and 9 m
high, is
A 16 m B 17 mn
18 m D 19 m

79. D and E are points on the sides of AR and AC respectively of a A ABC. Given AD = 6 cm,
DB = 4 cm and EC = 3cm. If DE is parallel to BC, then AE is
A 4.5 cm B] 4 cm
IC 5.5 cm D 5 cm

80. The corresponding sides of two similar triangle A and Az are 2 cm and 3 cm respectively.
If area of triangle Az is B1 cm>, then area of triangle A, is
A 27 cm2 B 54 cm2
C 36 cm2 D 45 cm2

81. A square sheet of paper is converted into a cylinder by rolling it along its length. What is
the ratio of the base radius to the side of the square?
A B] 2
27T

IC) 1 D]
V27T

Let us consider an equilateral triangle ABC. D is any point on BC such that AD is
82
perpendicular to BC. If AB =x ADE, then x is
4/5 B] %
A
C 5/4 [D] 4/3
The diagonals of a quadrilateral divide each other proportionally. Which of the following
83.
option is most correct?
Two sides are parallel [B Two sides are non-parallel
A]
IC] Both [A] and [B] D None of these

m. The rm term of the A. P. will be
84. The mth term of an A. P, is n and nh term is
m + n+r B m +n 2r
A D m + n - r
C m+n + r)
the following three sides
85. A triangle cannot be drawn with
3 m, 4 m, 8 m
A 2 m, 3 m, 4 m B
4 m, 6 m, 9 m
D] 5 nm, 7 m, 10 m
C]
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PD

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10/1/20/A PAPERCODE 10

The value of 3 tan 47 tan 43+ cosec 34 sec 56 is
86.
A] 1 B 3
C 0 D 2
87. If (cosec A -

sin A )(sec A cos A)
- =
y>ill 2A, then the value of
v is
A)
TC] 2
B-1/2
[D 1/2
88. For what value of k, the equation 2x * Rx+4 0 has equal roots=

[A] 42 [B] 32
[C] 25 [D] 23
89. Which of the following measure(s) satisfies
variables?
(satisfy) a linear relationship between two
A] Mean B Median
[C Mode D All of these
90. Fora moderately skewed distribution, which
[A] Mean - Mode = 3(Mean - Median)
of the following relationship holds?
BMedian - Mode =3(Mean - Median)
[C] Mean- Median =3(Mean
-Mode) D] Mean Median 3(Median Mode)
-
= -

91. If the roots of equation (b -c)x* + (c -a)x + (a -b) =0 are equal, then the value ofbis
TA]Ca2 B C+3a)
2
2
C C+a) D] 3c+a)
2
2

92. 21st term of series 1 7 13* . 1S

A] 121 B]
2
119
C]

93. 1
Thevalue or b-a)4 xlc-a)
[A] 0
1+x(a-b) + x(0-b) 1+xb-c) +x(a-c)s
B] 1
IC a-b-e [D] None of these

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94 The sum of an A. P. is 3n -

n2. The first negative term is
A] -3 IB-2
IC -1 [D -4

95.
Ifa, band c are non-zero and a + = 1 andb+ = 1, then the value of a bcis
b
A] 3 B] -1
C 1 [D -3

96. The two radi of concentric circles are 13 cm and 5 cm
respectively. The length of a chord
of the larger circle, which touches the smaller circle,is
[A] 24 cm [B] 21 cm
IC] 20 cm [D 18 cm

97 In a right angled
triangle ABC, right angled at C, AB 5 cm, AC 4 cm and CB 3 cm. The
= = =

radius of circle drawn inside the
triangle and touching the each side of triangle is
A] 2 cm [B 1.5 cm
[C] 2.5 cm D 1 cm

98. The angle between the two tangents to a circle drawn from an external
point is 60. The
angle subtended by the line segment joining the points of contact at the centre is
[A] 130 B 120
C 100 [D 110°

g9. Number of solutions of the two equations, 4x - y = 2 and 2 y - 8x + 4 = 0, is
[A] Zero [B Two
C One [D Infinitely Many
100. Suppose a bird is flying above lake. At a particular instant angle of elevation of bird from a
point 2 m above the surface of a lake is 30° and angle of depression of the relection in the
lake is 45. The height of bird above the surface of lake is

A 23-1)
3+1
cmn [B 3-1) cm
3+1
C 23+1)cm D V3+1) CIM
3-1 3-1

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Question numbers 101- 125 carry 2 marks each:

101 A bag contains 6 red bals and some black balls. If the probability of drawing black ball is
a
thrice that of a red ball, the number of black balls are
A 16 ] 18
[C] 17 D 14
102. Two coins are thrown simultaneously. The probability that head will not come up on
either of them is
A] 1 B)
2
IC None of these

103. For specific values of a, b and c the point (1, ) divides the line segment joining the points
(-1. a) and (4, b) internally in the ratio m: n. Ifa = , then the value of a is
A) 1 B)5
3

DI
3

collinear,is
104. The value of k for which following points (k -2), (5, 1) and (3, 4) are
[A] 6 [B] 7
5 [D] 8
IC)
The area of a sector of circle is 12n cm. If the angle
of sector is 30, then radius of circle is
105.
[B] 11 cm
[A] 13 cm
[D 12.5 cm
C 12 cm

A chord of a circle of radius 10 cm subtends
an angle of 60° at the centre. The area of
106
formed by chord and radii is
triangle
A 253 cm B 20 3 cm
[D] 23 3 cm
[C 22v3 cm

3 cos6 is
107. The value of 8(0 8 900) satisfying 2sin28 =

[A] 600 [B 450
[D 300
C 900

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108. A drinking glass is in the form of frustum of a cone. The radii of its two circular ends are
cm and 6 cm respectively. If the volume of glassis 189T cm', then height of glass is
A] 8 cm [B] 9 cm
[C cm D] 10 cm

109. A metal box of length 4 cm, breadth 3 cm and height 2 cm is
dropped in a cylindrical vessel
of radius 8 cm containing some water. If metal box is completely immersed in water, then
rise in level of water in the vessel is
A 20
cm
175
[B] 23 cm
175
IC 17
176
[D 1
cm
176

110. Which of the following is not the measure of central
tendency of frequency distribution?
A Standard deviation [B] Mean
[C Mode [D] Median

111. In a frequency distribution if median is 4 times of mean, then using empiricalrelation
mode is
[A] 9 times of mean B 8 times of mean
IC 10 times of mean
D 11 times of mean

112. H.C.F of two polynomials P(y) and Q0) is (y 2) and their LC.M. is (y3+ 5y2 24).
-

IfQy) is (y +y - 6), then the polynomial P(y) is
-

2y -

[A] y-2y-8 [B] y2-5y + 6
[C] y+2y-8 D] None of these

113. The graph of these two equations x +2y = 5 and 3x + 6y = 15 are
[A Intersect at infinite points B Coincident
C] Both [A] and [B] [D] None of these

114. Two circles of different radius are
A] Similar and congruent [B] Congruent but not similar
TC Neither similar nor congruent [D] Similar but not congruent

AS. Iftan*9 + tan0 =
1, then the value of cos"8 + cos20 is
B 10
A] 8
[D] 2
[C] 1

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116. Four horses are tethered with equal ropestcorners of a square field of side 42 meters,
so that they just can reach one another. Inc area left ungrazedis

A] 378 m2 B 438 m2
C 786 m2 D None of these

117. If(-5, 4) divides the line segment between tne coordinate axes in the ratio 1:2, then what
is its equation?
[A] 8x + 5y + 20 = 0 B 5x + 8y 7 0
[C) 8x- 5y + 60 = 0 D 5x- 8y + 57 = 0

118. If n th term of an A. P. is 2n + 3, then sum of n terms (S,) is

[A] n(4-n) B] n(3 +n)
[C] n(4 +n) D n(3n)
119. Two tangents PA and PB are drawn to circlewith center O from an external point P. If AB
is chord ofcircle and z APB is 60°, then L0AB is
[A] 20° B] 30
D] 50
[C) 40°

120. A pole stands on a bank of river. From a point on the other bank directly opposite to the
pole, angle of elevation of the top of the pole is 45°. From another point 10 m away from
this point on the line joining this point to the foot of the pole, angle of elevation is 30". The
width of river is
20 10

[A] B 3+1 m

10
20 D] m
[C] V3+1
7 as sum of numbers on
121. Two dices are thrown simultaneously. The probability of getting
both dices is

[A] 6
B] 4
C DI
of S2 cards. A card is
and jack of spade are removed from pack
a
122. The king, ace, queen
a card of an ace is
drawn from remaining cards. The probability of getting

[A B 521
1 1
[C] 16
D 48

Space for rough work
ORA A P)

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123 A circular Choco pie of radius 3 cm is placed at the center of circular plate. If the
circumference of plate is 207 cm, then area of vacant portion of plate is
A] 907 cm2 B 917 cm2
C 897 cm [D 92 cm2

124 A point on -axis which is equidistant from the points (5, 2) and (1, -2) is
[A] (3,0) B (4.0)
IC] (0.3) (D] (0,4)

125 If (1.2).(4, a).(b, 6) and (3, 5) are the vertices of a parallelogram taken in order, the
value of a and b are
A a =
2, b =6 [B] a =
3, b 5
=

C] a =5,
b 1 =
[D a = 3, b = 6

Section-C: (Mathematics Paper) Ends

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SPACE PIOR ROUCIHI WORIKs

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