JKCET 2018 Question Paper

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Q.B. Series: Q.B. Number:

Common Entrance Test (Engineering) -2018
300871
C
Maximum Time Allowed : 3 Hours
QUESTION BOOKLET
INSTRUCTIONS
No. of Questions: 180
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Page 1 of 24

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Section 1 - Physics

1) If a particle moves in a curved path, it must have a 6) Which is the INCORRECT statement regarding electric
component of acceleration lines of force
A) perpendicular to the mass A) Electric lines of force never intersects with each other
B) perpendicular to the gravity B) Electric lines of force are always perpendicular to
C) perpendicular to the velocity equipotential surface
D) parallel to the velocity C) Electric lines of force start from positive charge and
terminates on negative charge
D) Electric lines of force are always parallel to
2) When an object is placed between pole and focus of a equipotential surface
concave mirror, then the images formed are
A) real, erect and magnified
B) virtual, erect and magnified 7) The molecule of a monatomic gas has
A) Only one translational degree of freedom
C) virtual, erect and non- magnified
D) virtual, erect and diminished B) Only two translational degrees of freedom
C) Only three translational degrees of freedom
D) No translational degrees of freedom at all
3) The property of the substance which shows how easily
a substance can be magnetized, when placed in a
8) The force of attraction between two Lead balls, of
magnetic field is called
radius 10 cm and 1 cm that are placed with their centres
A) Magnetic Susceptibility
1 metre apart is (The density of Lead is 5.51 x 103 kg/m3.)
B) Magnetic flux density A) 3.5 x 10-11 N
C) Magnetic Permeability B) 0.35 x 10-11 N
D) Magnetic Field
C) 35 x 10-'1 N
D) 350 x 10-1' N

4) Order of magnitude of a physical quantity is the
A) Power of 5 of the number that describes the quantity 9) Work done in displacing a Magnetic Dipole of magnetic
B) Power of 10 of the number that describes the quantity moment M, (Bar Magnet) in Uniform Magnetic Field B
from an angle el to 02 is
C) Power of 100 of the number that describes the
A) W = B (cos Oi - cos 02 ) / M
quantity
D) Power of 0.01 of the number that describes the B) W=M(cos01-cos 02)/ B
quantity C) W = M B (cos el cos 02 )
D) W = M B (cos 01- cos 02 )

5) Which wave or ray is produced due to decelerating or
10) An object approaches a convergent lens from the left
accelerating charged particles?
of the lens with a uniform speed 10 m/s and stops at the
A) Microwaves
focus. The image moves
B) Ultraviolet rays A) away from the lens with an uniform speed 10 m/s
C) Infrared rays
B) away from the lens with an uniform acceleration of
D) X-Rays 10m/s2

C) away from the lens with a non-uniform acceleration
D) towards the lens with a non-uniform acceleration

Page 2 of 24

11) Nucleons are a collection of 16) The device or substances which DO NOT obey ohm's
A) electrons and protons law is/are

B) electron and neutrons A) Copper

C) protons and neutrons B) Crystal rectifiers

D) protons and positrons C) Iron
D) Resistors

12) What is lateral shift with respect to optics?
A) The parallel distance between the incident ray and 17) If the mains voltage is 230 V, then the peak voltage
the emergent ray approximately is

B) The perpendicular distance between the incident ray A) 230 V
and the emergent ray B) 162 V
C) The perpendicular distance between the incident ray C) 325 V
and the reflected ray D) 330 V
D) The parallel distance between the incident ray and
the reflected ray
18) Focal length, radius of curvature and power of a plane
mirror respectively are
13) Due to atmospheric refraction effects, the day A) infinity, infinity and zero
becomes longer by B) infinity, infinity and infinity
A) 4 minutes C) zero, zero and finite
B) 0 minute D) finite, zero, zero
C) 2 minutes
D) 1 minute
19) A cyclist comes to a skidding stop in 10 m. During this
process, the force on the cycle due to the road is 200 N
14) No work is done on the system, but q amount of heat and is directly opposed to the motion. How much work
is taken out from the system and given to the does the road do on the cycle ?
1 surroundings. Express the change in internal energy A) 2000 J
I (A U) of this system and what type of wall does the system B) -2000 J
have?
C) 20 J
A) .' U = w, wall is adiabatic
D) - 20 J
B) A U = q — w, closed system
C) A U = — q, thermally conducting walls
D) A U = q, thermally conducting walls 20) Law that proves that different masses accelerate to
the earth at the same rate, but with different forces is
A) Newton's first law
15) Naturally oscillating systems undergo B) Newton's second law
A) Simple Harmonic Motion (SHM) C) Newton's third law
B) 2 Dimensional Circular Motion D) Combination of Newton's first and third law
C) Accelerating Motion
D) Continuous Motion

Page 3 of 24

21) My friend has a Banjo clock. It has a pendulum. For 26) Which of the following properties is NOT true for
every 1.0 sec the pendulum performs one full swing. If an electromagnetic waves?
object at the end of the string weighs 10.0 N, what is the A) The waves are transverse in nature
length of the pendulum?
B) The waves are longitudinal in nature
A) 0.25 m
C) The waves propogates through space with the speed
B) 2.5 m of light
C) 0.5 m D) The energy in electromagnetic wave is divided
D) 0.15 m equally between electric fields and magnetic field
vectors

22) The system that returns to equilibrium as quickly as
possible without oscillating is 27) If a point charge q is moving in a circle of radius r with
A) Overdamped speed v, then time period T of the point charge will be
B) Critically damped A) T=2 IT r / v
C) Underdamped B) T=2 IT r * v
D) Undamped C) T= r / 2v
D) -rr r / v

23) What modulation index and side bands are produced
when a message of frequency 10 KHz and peak voltage 28) The value of magnetic quantum number of the last
of 10 volts is used to modulate a carrier frequency of electron of "Na" is
1 MHz and peak voltage of 20 volts? A) 3
A) Modulation index is 1. The side bands are B) 2
1010 - 990 KHz
C) 1
B) Modulation index is 0.5. The side bands are
D) 0
1010 - 990 KHz
C) Modulation index is 2. The side bands are
1020 - 980 KHz
29) The minimum negative potential given to anode plate
D) Modulation index is 0.5. The side bands are at which photoelectric current becomes zero is called
1020 - 980 KHz
A) Compton Effect
B) Stopping Potential
24) Galvanometer can be converted into ammeter by C) Moseley's Law
A) low resistance called shunt resistance in parallel to D) Photoelectric Effect
the galvanometer
B) very large resistance in parallel to the galvanometer
C) series connection with a very small resistance 30) A primary coil is connected with an AC source
D) series connection with a very high resistance and a bulb is connected with the secondary coil. The
voltage across the bulb is 6.0 V and the current through
the bulb is 0.4 A, The turns ratio is 5:1 (NP : Ns = 5: 1).
25) In a semiconductor, the concentration of minority Calculate the current in the primary coil.
carriers depends mainly on A) 8 A
A) the extent of doping B) 0.8 A
B) temperature C) 12.5 A

C) the applied bias current D) 1.25 A
D) voltage

Page 4 of 24

31) Two small charged spheres have charges of 35) The resistance of a conductor does NOT depend on
2 x 10-7 C and 3 x 10-7 C. They are placed 30 cm apart in A) Length and temperature of the conductor
air. What is the force between them? B) Area of cross-section of the conductor
A) F=6 x 10-3 N C) Material of the conductor
B) F=0.6 x 10-3 N D) Weight of the conductor
C) F=6.5 x 10-3 N
D) F=0.65 x 10-3 N
36) The three types of expansion that takes place in solid
are
32) The net electric charge enclosed by a Gaussian A) Linear Expansion, Superficial Expansion
surface of dipole is and Cubical Expansion.
A) 0 C B) Volume Expansion, Real expansion and Linear
B) 1C Expansion
C) 2 C C) Apparent Expansion, Volume Expansion and Real
expansion.
D) 3C
D) Linear Expansion, Superficial Expansion and
Pressure Coefficient Expansion.
33) Which of these statements is true regarding
photoelectric emission?
37) What is the reason for earth NOT moving towards the
A) Number of photoelectrons ejected per second is
directly proportional to intensity of incident light moon, even though moon attracts the earth?
provided the frequency of incident light is greater A) The mass of the earth is much larger than the mass
than threshold frequency of the moon, it accelerates at a rate lesser than the
acceleration rate of the moon towards the earth
B) Number of photoelectrons ejected per second is
inversely proportional to intensity of incident light B) The mass of the moon is much larger than the mass
provided the frequency of incident light is greater of the earth, it accelerates at a rate lesser than the
than threshold frequency acceleration rate of the earth towards the Moon
C) Number of photoelectrons ejected per second is C) The mass of the Earth is similar to that of the moon,
directly proportional to intensity of incident light and both accelerate at a same rate
provided the frequency of incident light is D) Both experience unequal gravitational forces from
smaller than threshold frequency each other
D) Number of photoelectrons ejected per second is
inversely proportional to intensity of incident light
provided the frequency of incident light is 38) Magnetic energy density in an inductor is given by
smaller than threshold frequency A) UB = B2 / 2po
B) UB = B2 * 2po
C) UB = 2B2 / po
34) The "Uplink" satellite communication frequency
bands of "C" band are D) UB = B2 + 2po

A) 5.925 - 6.425 GHz
B) 3.7 - 4.2 GHz
C) 5.925 - 6.425 MHz
D) 3.7 - 4.2 MHz

Page 5 of 24

39) The resistance of the platinum wire of a platinum 44) A small town is located 10 km away from a power
resistance thermometer at the ice point is 5 5-2 and at plant. An average of 120 kW of electric power is sent to
steam point is 5.23 Q. When the thermometer is inserted this town. The transmission lines have a total resistance
in a hot bath, the resistance of the platinum wire will be of 0.40 D. Calculate the power loss, if the power is
5.795 Q. Calculate the temperature of the bath. transmitted at 240 V.
A) 3.456 °C A) 100 W
B) 34.565 °C B) 10 W
C) 345.65 °C C) 100 kW
D) 45.65 °C D) 10 kW

40) A ball is thrown horizontally from a height of 100 m 45) A system has two charges qA = 2.5 x 10-7 C and
with an initial speed of 15 m/s. How far does it travel qs = -2.5 x 10-7 C located at points A: (0, 0, -15 cm) and
horizontally in the first 2 seconds? B: (0,0, +15 cm), respectively. What is the magnitude and
A) 3 m direction of electric dipole moment of the system?
B) 7.5 m A) 7.5x10-8 cm, from positive to negative charge
C) 30 m B) 0.75x10-8 cm, from negative to positive charge
D) 0.3 m C) 7.5X10-8 cm, from negative to positive charge
D) 0.75x10-8 cm, from positive to negative charge

41) Silicon dioxide layer is found in which of the following
devices? 46) What is the moment of inertia of a ring about a tangent
A) NPN transistor to the circle in the plane of a ring?
B) Tunnel diode A) MR2
C) JFET B) 2 MR2
D) MOSFET C) (3/2) MR2
D) (1/2) MR2

42) The intrinsic carrier concentration of silicon sample at
300 K is 1.5 x 1018/m3. What is the density of minority 47) The three central concepts in Newtonian mechanics
carrier? (after doping, the number of majority carriers is are
5 x 1020/m3) A) Mass, Motion and Gravity
A) 4.5 x 1011/m3 B) Mass, Motion and Force
B) 3.33 x 104/m3 C) Weight, speed and Gravity
C) 5 x 1020/m3 D) Force, Mass and Acceleration
D) 3 x 10-8/m3

48) For a copper block, find the electric field which can
43) In a bar magnet, the ratio of magnetic length to give, on an average, 1 eV energy to a conduction
geometrical length is nearly electron.(The mean free path of conduction electrons in
A) 0.74 copper is given as 4 x 10-8 m)
B) 0.80 A) 2.62 x 107 V/m

C) 0.84 B) 2.64 x 107 V/m
D) 0.94 C) 2.5 x 107 V/m

D) 2.58 x 107 V/m

Page 6 of 24

49) Dispersion without deviation is produced by two thin 54) What is the amount of heat needed to raise the
(small angled) prisms which are combined together. temperature of the gas in a cylinder of fixed capacity
One prism has angle 5° and refractive index 1.56. If the (44.8 litres) that contains helium gas at standard
other prism has refractive index 1.7, what is its angle? temperature and pressure, by 15.0 °C ?
A) 3° (R = 8.31 J mol-1 K-1).
A) 374 J
B) 4°
B) 37.4 J
C) 5°
C) 5.42 J
D) 6°
D) 54.2 J

50) Considering the fact that the speed of light in glass is
not independent of the colour of light, which of the 55) The equation (tan 0 = B2 / B1), where B1 and B2 are
statement is true? magnetic fields perpendicular to each other represents
A) violet light travels slower than red light A) Horizontal Component of Earth's Magnetic Field
B) violet light travels faster than red light B) Tangent Law
C) violet light travels same as red light C) Dip or Inclination
D) only white light will be travelling. D) Declination

51) Which one of the following is NOT emitted by 56) An athlete runs exactly once around a circular track
radioactive elements? of length 500 m. The runner's displacement in the race is
A) Alpha Rays A) 50 m
B) Beta Rays B) 5m
C) Delta Rays C) 0.5 m
D) Gamma Rays D) 0m

52) The phenomenon that occurs when the frequency of 57) "Gravitational constant (G)", "Planck's constant (h)"
forced vibrations on an object matches the natural and Velocity of light (c) are
frequency of that object, and produces a dramatic A) Dimensional variables
increase in amplitude is called
B) Dimensionless variables
A) Resonance
C) Non-dimensional constants
B) Beats
D) Dimensional constants
C) Forced vibration
D) Damping
58) The factor R/NA in an ideal gas law is
53) Why there are two propellers in a helicopter? A) Celsius constant
A) Due to conservation of linear momentum, the B) Kelvin constant
helicopter itself would have turned in the opposite C) Universal gas constant
direction, if it had only one propeller D) Boltzmann's constant
B) Due to conservation of angular momentum, the
helicopter itself would have turned in the opposite
direction, if it had only one propeller
C) The helicopter can't rise up with one

D) The helicopter would not gain speed with one

Page 7 of 24

4'

59) The enthalpy change of a chemical reaction in which
1 mole of a pure substance is formed from the free
elements in their most stable states under standard state
conditions is called
A) Molar enthalpy of vaporization
B) Standard enthalpy of fusion
C) Standard enthalpy of vaporization
D) Standard Molar Enthalpy of Formation

60) The work done by a given force on a body depends
only on
A) The force, the displacement and the angle between
them.
B) The force, the velocity and the angle between them.
C) The acceleration, the velocity and the angle between
them.
D) The force, the velocity and acceleration between
them.

Page 8 of 24

Section 2 - Chemistry

61) What will be the nature of existence of an amino acid 66) Identify the CORRECT increasing order of crystal
(containing one amino and one carboxylic acid group) in field stabilization energy value for the given complexes.
solution of pH < pKal? A) [Ir(NH3)6]3*< [Rh(NH3)6]3*< [Co(NH3)6]3*
A) It exists as anion B) [Rh(NH3)6]3+< [Co(NH3)6J3.< [Ir(NH3)6]3+
B) It exists as cation C) [Co(NH3)6]3+< [Ir(NH3)6]3+< [Rh(NH3)6]3+
C) It exists as zwitterion D) [Co(NH3)613+< [Rh(NH3)6]3+< [Ir(NH3)6]3+
D) It exists as neutral species with no charge

67) Of the following, which species is primarily obtained
62) Dacron is a continuous filament yarn used in curtains, in a solution containing KHF2?
dress fabrics and pressure fire hoses. The reaction for A) K+, and F-
preparing dacron is by the combination of which of the B) 1-11- and KF2
following?
C) KF and H-
A) Hexamethylene diamine and adipic acid
D) K* and HF2
B) Caprolactum
C) Phenol and formaldehyde
D) Ethylene glycol and terephthalic acid 68) Identify the optically active cyclohexane from the
given options.
A) trans-1,3-dimethyl cyclohexane
63) What final product will form when alcoholic KOH is B) cis-1,3-dimethyl cyclohexane
treated with 1,1-dichloro ethane?
C) cis-1,4-dimethyl cyclohexane
A) ethane-1,2-diol
D) trans-1,4-dimethyl cyclohexane
B) ethene
C) ethyne
D) acetaldehyde 69) What will be the CORRECT decreasing order of acid
strength of the hydroxybenzoic acids?
(Symbols and notations carry their usual meanings)
64) What will be the relation between the T1 of gas 1 with A) p-hydroxybenzoic acid > benzoic acid > m-
M1=56 and T2 of gas 2 with M2=44 if the average speed hydroxybenzoic acid > o-hydroxybenzoic acid
of gas 1 is equal to most probable speed of gas 2? B) o-hydroxybenzoic acid > m-hydroxybenzoic acid >
A) Ti = T22 benzoic acid > p-hydroxybenzoic acid
B) Ti =12 C) o-hydroxybenzoic acid > benzoic acid > m-
C) T1 = (T2)112 hydroxybenzoic acid > p-hydroxybenzoic acid
D) =1/1-2 D) m-hydroxybenzoic acid > benzoic acid > o-
hydroxybenzoic acid > p-hydroxybenzoic acid

65) What is the hybridization and geometry of the 70) What is the IUPAC nomenclature of isoprene
compound XeOF4? monomers present in natural rubber?
A) sp3d2 and octahedral A) 2-methyl-1,3-butadiene
B) sp3d and square pyramidal B) 1,3-hexadiene
C) sp3d and trigonal bipyramidal

C) 2,3-dimethy1-1,3-butadiene
D) sp3d2 and square pyramidal D) 2-methyl-1,3-pentadiene

Page 9 of 24

4

71) The number of times the comparative mass of a 76) What will be the equilibrium constant of the given
neutron is heavier than an electron is reaction carried out in a 5 L vessel and having equilibrium
A) —1842 amounts of A2 and A as 0.5 mole and 2x10-6 mole
B) —182 respectively? The reaction: A2 = 2A
C) --102 A) 0.16x10-11
D) —4050 B) 0.25x105
C) 0.4x10-5
D) 0.2x10-11
72) Which of the following is a branched polymer, having
branched chain polysaccharide units?
A) Starch 77) What condition will facilitate the spontaneity of a
B) Bakelite reaction if AH and AS both are negative?
C) High density polyethylene A) low temperature
D) Nylon B) high temperature
C) low pressure
D) high pressure
73) What product will form when N,N-dimethylaniline
reacts with NaNO2 and dilute HCI at low temperature?
A) p-nitroso-N,N-dimethylaniline 78) What will be the half-cell potential of a hydrogen
B) methyl-n-hexylamine electrode acting as an anode and dipped in a solution of
pH=2?
C) m-benzene diazonium chloride
A) 0 V
D) N-nitroso-N-methylaniline
B) 0.0196V
C) 0276V
74) Which of the following is the CORRECT increasing D) 0.118 V
order of coagulating power of electrolytes required to
precipitate a negatively charged As2S3 colloid?
A) NaCI < BaC12< AlC13 79) How many electrons are involved during the oxidation
B) BaCl2 < AICI3 < NaCI reaction of KMnO4 in acidic medium?
C) AlC13 < NaCI < BaCl2 A) 1
D) AlC13 < BaC12< NaCI B) 3
C) 5
D) 4
75) Which equation will explain the nature of PV versus
P curve for CO2 gas at moderately low pressure?
A) PV=RT+Pb
B) PV=RT+aN
C) PV=RT-aN
D) PV=RT-aV

Page 10 of 24

80) Naphthalene is a white, volatile, solid polycyclic 83) What will be the geometry of the compound MB4L2?
hydrocarbon with a strong mothball odor. Which of the Here B is bond pair and L is lone pair.
following is the structure of naphthalene? A) Square planar
B) Octahedral
C) Square pyramid
D) Tetrahedral

84) What will be the product when benzaldehyde is
treated with NaOD in D20?
A) C6H5CH2OD and C6H5COONa
B) C6H5CH2OD and C6H5COOD
C) C6H5CHDOD and C6H5COONa
D) C6H5COOCHDC61-15

85) What will be the geometry and magnetic moment of
the complex [NiCI4]2-?
A) Tetrahedral and 3.87 BM
B) Tetrahedral and 2.82 BM
C) Square planar and 2.82 BM
D) Square planar and 4.89 BM

86) Which of the following is the CORRECT reason for HI
solution turning brown on exposure to air?
81) What will be the Ecell for the given cell:
Zn/Zn2+(0.1M)// Cu210.01M)/Cu. A) HI reacts with H2O to form 12
Given: E°Zn2+/Zn=-0.76V and E°Cu2+/Cu = 0.34V. B) HI dissolves NO2
Also predict whether the reaction is spontaneous or non- C) HI reacts with 02 to form 12
spontaneous. D) HI reacts with N2 and 02 to form NO2
A) 1.07V and spontaneous
B) -1.13V and non-spontaneous
C) -1.07V and non-spontaneous 87) In a reaction A + B a C + D, Le Chatelier's principle
asserts that an equilibrium between A and B producing C
D) 1.13V and spontaneous
and D can be shifted towards C and D by
(i) increasing the concentration of A or B
82) What are the coordination numbers (C.N.) of Ca2+ and (ii) increasing the concentration of C or D
F- ion in calcium fluoride (CaF2) crystal structure? (iii) decreasing the concentration of A or B
A) C.N. of Ca2*= 4 and F- = 8 A) (ii) only
B) C.N. of Cat' = 6 and F- = 6 B) Both (i) and (ii)
C) C.N. of Cat* = 8 and F- = 8 C) (iii) only
D) C.N. of Cat* = 8 and F- = 4 D) (i) only

Page 11 of 24

88) With respect to atomic spectrum, each line in the 92) What is the relationship between the given structures
Lymer series is due to electrons returning (Look at the arrows)?
A) from a particular higher energy level to n = 3 6
cd20.1 CH2OH
B) from a particular higher energy level to n = 2 5 5 OH
C) from a particular higher energy level to n = 1
4 1
D) from a particular higher energy level to n = 4
OH 3 2 OH OH
OH
cc-D-glucopyranose 13-D-giucopyranose
89) The following equation is the Arrhenius Equation.
k = Ae —EaIRT, where Ea is the minimum energy molecules A) Enantiomers
must possess in order to react to form a product, k is the B) Anomers
rate constant, A is the frequency factor, R is the gas
constant and T is the Kelvin temperature. Under normal C) Diastereomers
circumstances, the Arrhenius plot is obtained by plotting D) Metamers

A) logarithm of the inverse of rate constant 1/k, versus
the inverse temperature 1/T 93) What will be the CORRECT unit of rate constant k for
B) logarithm of the rate constant k, versus the a reaction whose order is three?
temperature T A) mole-1 lit sec-'
C) logarithm of the rate constant k, versus the inverse B) mole2 lit sec-1
temperature 1/T
C) sec-1
D) logarithm of the inverse of rate constant 1/k, versus
D) mole-2 lit2sec-1
the temperature T

94) Which of following compounds has a highly intense
90) What will be the entropy change of the system when
red colour at room temperature?
expansion of 1 mole of a gas takes place from 3L to 6L
A) SnCl4
under isothermal conditions?
Consider R = 2 cal K-lmole-1 and log 2 = 0.301. B) Snla
A) 2.84 cal K-' C) Pb12
B) 1.386 cal K-1 D) PbCl2
C) 0.37 cal K-1
D) 5.26 cal K-1
95) A sample of HI(g) is placed in a flask at a pressure of
0.2 atm. At equilibrium, partial pressure of HI(g) is
0.04 atm. What is Kp for the given equilibrium?
91) What will be the CORRECT stability order of the
2 HI(g) <=> H2(g) + I2(g)
different conformations of n-butane?
A) 0.04
A) fully-eclipsed > eclipsed > gauche > anti-staggered
B) 0.4
B) anti-staggered > eclipsed > gauche > fully-eclipsed
C) 40
C) anti-staggered > gauche > eclipsed > fully-eclipsed
D) 4
D) gauche > anti-staggered > eclipsed > fully-eclipsed

Page 12 of 24

43937_1C 4

96) Calculate the molarity of a solution of 30 g of 101) What is the main product formed when iodine reacts
Co(NO3)2. 6H20 in 4.3 L of solution? Consider atomic with hypo?
mass of Co = 59, N = 14, 0 = 16, H = 1 A) Na2SO4
A) 0.023 M B) Na2S406
B) 0.23 M C) Na2SO3
C) 0.046 M D) Na2S
D) 0.46 M

102) What will be the resultant products formed when the
97) Which of the following product(s) is/are formed when phosphorus halide PBr5 splits up?
fructose is treated with Na-Hg in water?
A) [PBra]` and Br
A) Sorbitol and Mannitol
B) [PBrd- and [PBra]'
B) Sorbitol and n-Hexane
C) [PBr4]+
C) Mannitol and n-Hexane
D) [PBrd-
D) Gluconic acid

98) What will be the heat change at constant volume for 103) What will be the resultant product when
the reaction whose heat change at constant pressure is - ethyloxybenzene is reacted with HI?
560 kcal at 27 °C? The reaction is: A) phenyl iodide and ethanol
C81-1,6+1202 8CO2+8H20 (Given R = 2 cal mo1-1 K-1) B) ethyl benzene
A) -558200 calories C) phenol and ethyl iodide
B) 442800 calories D) p-ethyl phenol
C) -561800 calories
D) 368240 calories
104) What will be the enthalpy of formation of NO2 from
the given bond dissociation enthalpy values? The bond
99) What will be the expression of Kp for the given dissociation enthalpy values for 02, NO and NO2 are as
reaction if the total pressure inside the vessel is P and follows: 02(g): 0 kJ/mol, NO(g): 90.25 kJ/mol and NO2(g):
degree of dissociation of the reactant is a? The reaction: 33.18 kJ/mol respectively.
N204 = 2NO2
A) +114.1 kJ
A) 4a2P/(1+a2)
B) +52.7 kJ
B) 4a2P/(1-a2)
C) -52.7 kJ
C) a2P/(1-a2)
D) -114.1 kJ
D) a2/(1-a)

100) What is the CORRECT explanation of the non- 105) How many geometrical isomers are possible with
reducing property of sucrose? complexes of the type [M(ab)3]?
A) a-D-glucopyranose and 3-D-fructofuranose are A) 2
linked via C2 and Ci centres respectively B) 4
B) a-D-glucopyranose and 13-D-fructofuranose are C) 3
linked via Ci and C2 centres respectively D) 5
C) a-D-glucopyranose and 13-D-fructofuranose are
linked via C2 and C2 centres respectively

D) a-D-glucopyranose and (3-D-fructofuranose are
linked via C3 and C4 centres respectively

Page 13 of 24

106) Identify the CORRECT basicity order in the 111) What will be the first ionization energy of Be atom?
nitroanilines? (Symbols and notations carry their usual Consider the first ionization energy of H atom as 13.6 eV.
meanings) A) 27.2 eV
A) o-nitroanilines < p-nitroanilines < m-nitroanilines
B) 54.4 eV
B) m-nitroanilines < p-nitroanilines < o-nitroanilines
C) 108.8 eV
C) p-nitroanilines < o-nitroanilines < m-nitroanilines
D) 4 eV
D) o-nitroanilines < m-nitroanilines < p-nitroanilines

112) Which of the following statements is/are TRUE for
107) Identify the anti-aromatic system from among the an electrochemical cell?
given options.
A) Oxidation occurs at the anode only
A) benzene
B) Reduction occurs at the anode only
B) [14]-annulene
C) Oxidation occurs at both the anode and cathode
C) [18]-annulene
D) Reduction occurs at both the anode and cathode
D) Cyclo-octatetraene

113) Which of the following shows the CORRECT
108) Which of the following is the CORRECT reaction for nitrobenzene reduction?
configuration of the complex [RhCl6]3-? A) Nitrobenzene reacts with Zn dust and NH4CI to
A) High spin t2g4e92 produce aniline
B) Low spin t2g6eg° B) Nitrobenzene reacts with LiAIH4 to produce phenyl
C) Low spin t2g3eg3 hydroxylamine
D) High spin t2g5egl C) Nitrobenzene reacts with Fe and HCI to produce
nitroso benzene
D) Nitrobenzene reacts with Zn dust and NH4CI to
109) Which electronic configuration will show the produce phenyl hydroxylamine
HIGHEST first ionization potential?
A) 1s22s22p1
B) 1s22s22p5 114) What is the hybridization and geometry of the given
C) 1s22s22p3 species? The species are XeF2 and IC12-.
A) sp3d and trigonal bipyramidal
D) 1s22s2
B) sp3d2 and square planar
C) sp3d and linear
110) What is the CORRECT increasing order of ionic or D) spa and irregular tetrahedron
atomic radii in the following?
A) SF+ < P5+ < S6+ < C17+
B) P5+ < Si4+ < C17+ < S6+ 115) What product is formed when phenol is treated with
C) C17+ < S6+ < P5+ < Si4+ CHCI3 and NaOH?
A) 3-hydroxybenzaldehyde
D) 56+ < P5+ < Cl7+ < SO+
B) 2-hydroxy benzoic acid
C) 3-hydroxy benzoic acid
D) 2-hydroxybenzaldehyde

Page 14 of 24

439371C *

116) What is the IUPAC nomenclature of the given 120) Which of the manganese oxides is the most acidic
compound? from the given options?
A) Mn203
B) MnO
1 i C) Mn02
D) Mn207
A) 5-ethyny1-1,6-heptadiene
B) 3-ethyny1-1,6-heptadiene
C) 3-vinyl-hept-6-en-1-yne
D) 5-vinyl-hept-1-en-6-yne

117) What is the number of octahedral void(s) per atom
present in a cubic close-packed structure?
A) 1
B) 3
C) 2
D) 6
- ------ -

118) What will be the percentage of dimerization of 61 g
of benzoic acid in 1000 g of a solvent and producing a
depression in freezing point of 2 °C? Consider Kf to be 6.
A) 72%
B) 67%
C) 43%
D) 28%

119) Which of the statements is TRUE regarding
chemisorption of a gas on a solid surface?
A) This type of adsorption first increases with increase
of temperature
B) No compound formation takes place in this case
C) The forces operating in this are weak Van Der Waal's
forces
D) It forms multimolecular layers of gas molecules on
the surface

Page 15 of 24

Section 3 - Mathematics

121) Nine non zero integers a, b, c, d, e, f, g, h and i are 126) A 3 X 3 square matrix M = [au] is taken, where i = 0,
taken such that they form a geometric progression in the 1, 2 and j = 0, 1, 2. In matrix M, value of each element is
same order as mentioned. The common ratio of the determined as au = i x j. What will be the value of largest
geometric progression is an integer. Which of the minor of the matrix M?
following relation will always hold? A) -1
A) abce > 0
B) 0
B) bcef > 0
C) 1
C) ahbd > 0
D) 4
D) bdgh > 0

122) What will be the equation of the standard hyperbola 127) What will be the argument of the complex number
where foci are (0, ±10) and the length of the latus rectum z = 1 - cosp + isinp?
is 30? A) -rr — p
A) 3y2 - x2 = 75 B) 7/4 - p/2
B) y2 - x2 = 25 C) Tr/2 - p/2
C) 3y2 - x2 = 25 D) -rr - p/2
D) y2 - x2 = 75

128) What is the number of different values of the
123) A set P = {7, 21, 28, 42, 14, 0} is given. A relation R products that can be done using two or more of the
holds on elements a and b of set P if either a is a factor numbers 3, 4, 5 and 7? (A number can be used at most
of b or b is a factor of a. The relation R on the set P is once)
A) NOT reflexive A) 11
B) NOT symmetric B) 12
C) NOT transitive C) 15
D) antisymmetric D) 24

124) The square of height of a tower is three times the
square of its shadow. What would be the angle of 129) From a deck of cards, all the diamonds are removed.
depression of sun at this moment? From remaining cards, a card is chosen randomly. What
A) 30° is the probability that it will be a black card?
B) 45° A) 1/2

C) 60° B) 2/3

D) 75° C) 1/3
D) 3A

125) Given that a function f(x) = [x]2 + x2, where [xj is the
greatest integer less than or equal to x. If f(x) > 25, then 130) A parabola y2 = 32x is drawn. From its focus, a line
the value of x is of slope 1 is drawn. The equation of the line is
A) any real number A) y=x+8
B) a member of the set {xIxa0} B) y=x-4

C) a member of the set { x I x 5 —4 or x a 4 } C) y=x
D) a member of the set {xIxa 25 or x 5. 0 } D) y=x-8

Page 16 of 24

131) What will be the argument of the complex 135) The sum of the series:
x2 . ,
sin p + xsin(p + q) + strit,p + 2q) + • -co is
Z ?
number A) 0
e3
B) ex cos q [Sin(P xsin q)]
A) 7/4
B) Tr/3
C) 1
C) 5-rr/12
D) ex cos
D) 37/8 q[cos(p xsin q)]

132) An equilateral triangle is inscribed in the parabola 136) The first order derivative of f(x) is given by
y2 = 4ax, where one vertex of the triangle is at the vertex f '(x) = see x + 5 with f(0) = 0. Then f(x) =
of the parabola. The length of the side of the triangle is 1
A) 8a A) tan x + 3 tan- x + 5x + 2
B) 16a
1
C) 8a43 — tan- x + 5x
B) tan x + 3
D) 16a'13
1 ,3
C) tan x + tan" x
3
133) On a biased dice, numbers from 1 to 6 are written 1
on its six faces. The probability that a face will appear on D) — tan3 x + 5x
3
throwing the dice is directly proportional to number written
on that face. What is the probability that a face on which
a multiple of 3 is written will appear both times when this
dice is thrown twice? 137) A function f(x) = x2tanx e2x is given. The value of
second order derivative of f(x) at x = 0 is
A) 5/28
A) 1
B) 3/14
B) 2
C) 2/7
C) 4
D) 9/49
D) 0

134) The direction ratios of a normal to a plane are
(3, 12, 4). Through which of the following points the plane 138) What will be the area of the triangle formed by the
passes if origin is at a distance of 2 units from this plane? lines joining the vertex of the parabola y2 = 28x to the
ends of its latus rectum?
A) (2, 2, 1)
A) 64 sq. units
B) (2, 1, 2)
B) 51 sq. units
C) (2, 1, 1)
C) 98 sq. units
D) (3, -1, 2)
D) 72 sq. units

Page 17 of 24

139) A plane is given as 3x+4y-12z+13 = 0. The points rz
(1, 1, k) and (-3, 0, 1) are equidistant from the plane. What 143) fo4 tan2 x sec4 x dx
will be the quadratic equation that will have roots as
values of k? A) 1/3
A) 4x2 — 15x + 9 = 0 B) 4/15
B) x2 — 10x + 25 = 0 C) 1
C) 3x2 — 8x + 4 = 0 D) 8/15
D) 3x2 — 10x + 7 = 0

144) 4 consecutive years are taken such that exactly one
140) There is a set P of ordered pairs in which each pair of them is a leap year. One of these four years is
has a vowel as first element and a consonant as second randomly chosen. What is the probability that it will have
element. It is given that M = 410. How many elements will 53 Wednesdays?
be there in power set of P? A) 1/7
A) 32(M5) B) 3/14
B) 16(M5) C) %
C) 32(M4) D) 5/28
D) 16(M4)

145) A system of linear equations in two variables, p and
141) [(cos 3t + isin 3t)4(cos 4t - isin 4t)5(cos 5t + isin 504] q, is given as (n + 1)p + (n + 2)q = 8,
÷ (cos 4t + isin 4t)3 = p - (n + 1)q + (n + 2) = 0, p + q = 3. Which of the following
A) 0 would be one of the values of n for which the given
system of linear equations is consistent?
B) 1/2
A) 0
C) 1
B) 1
D) 8-\+2
C) 3
D) 7
142) An eagle is sitting at a distance of 100 metres from
base of a building. It can see a sparrow sitting at the top
of the building at an angle of elevation of 30 degrees. It —3x -I- (-1)x
moves towards the building and sits at a point such that 146) It is given that f(x) = 4x — (-1)x . The limit
now it can see the same sparrow at an angle of elevation value of the function f(x) as x tends to infinity is
of 45 degrees. At what distance from the base of building
A) 3/4
is the eagle sitting now?
B) -3/4
A) 57.735 metres
C) 1/4
B) 70.711 metres
D) -1/4
C) 100 metres
D) 173.205 metres

147) For 'C' is an arbitrary constant, the solution of the
differential equation 3(xy)2dx + 2x3ydy = 0 is given by
A) x2y2 + C = 0
B) x3y3 + C = 0
C) x3y2 + C = 0

D) x2y3 + C = 0

Page 18 of 24

148) For which of the following values of T, the 152) Out of 4 symbols, 5 letters and 3 numbers, how
expression (1 + icos T)/(1 - 2icos T) will give a real many strings can be formed each containing 3 letters,
number? 2 symbols and beginning with a number?
A) 0 A) 180
B) Tr/2 B) 2160
C) tr/3 C) 14400
D) 37/4 D) 21600

dy 153) If [x] represents greatest integer less than or equal
-
149) The solution of — + 4x + 1) when 5
dx
y(0) = 1, is given by to x, then J
2 [x] dx =
A) y = 2tan(2x + Tr/4) - 4x - 1 2
B) y = 2cot(2x + Tr/8) - 4x - 1 A) 9
C) y= 2tan(x + tr/4) - 4x - 1 B) 12
D) y = 2cot(2x + tr/4) - 4x - 1 C) 18
D) 24

150) In which of the following domains f(x) is continuous,
lx+21
154) Which of the following can be the equal expression
where f(x) = tan-1(x+2) ?
for cos(3T) + isin(3T) using the De Moivre's theorem and
(Note: R denotes set of real numbers) binomial theorem concepts?
A) R A) cos3T + 3icos2T sin T - 3cosT sin2T + isin3T
B) R - {-2, 2} B) cos3T + 3icos2T sin T + 3cosT sin2T - isin3T
C) R - {-2} C) cos3T + 3icos2T sin T - 3cosT sin2T - isin3T
D) {-2, 2} D) cos3T + 3icos2T sin T + 3cosT sin2T + isin3T

151) The sum value of the infinite series 155) For 'C' is an arbitrary constant,
, , 1 1 1 2x - 1
1 - • • co is
5 25 125 625 +•
- 1)(x + 2)(x - 3) dx
A) ± A) 3x - 2 + C
5
1
B)5 B) - -1)-1 +C
4 6
3 1 1 1
C)
2 C) — log(x - 1) - - log(x + 2) + - log(x - 3) + C
6 3 2
D) indefinite
1 1 1
D) -log(x - 1) + 31og(x + 2) + 21og(x - 3) + C
6

Page 19 of 24

156) Two lines in three-dimensional system are given as 161) A function is given by the equations in parametric
(x-1)12 = (y-2)/3 = (z-3)14 and (x-4)/5 = (y-1)/2 = z. Their form as x = 2cost - cos(2t), y = 2sint - sin(2t). The value
point of intersection is dy
A) (1,1,1) at t = 90° is
of dx
B) (1,2,3) A) 0
C) (-1,-1,-1) B) -1
D) (4,1,0) C) 1
D) 2

157) How many digits will be there after decimal point
12th term of the sequence: 32, 16, 8, 4, ......?
162) To the curve x = sin t + 2t, y = 4t, a normal is drawn
A) 5
at t = 0. Where would this normal intersect with line
B) 6 y = x + 3?
C) 7 A) (6, 9)
D) 8 B) (9,12)
C) (0, 3)
D) (4, 7)
158) The domain of the function f(x) = log(3x2 - 4x + 7) is
A) set of real numbers - {3, 2, 7}
B) set of real numbers 163) Suppose A, B and C are three sets, each with three
C) set of positive real numbers elements. The number of subsets of the set Ax B x C that
D) set of non negative real numbers have at least 2 elements is
A) (227) — 28
B) (227) — 55
159) For 'C' is an arbitrary constant, the solution of the C) 27
dy D) (272) — 3
differential equation — + 2 = e2x 4 y .ls given by
cix
A) (x+C)e(x+2Y) + 1 = 0
B) (2x+C)02x410 + 1 = 0 164) Which of the following functions is neither even nor
odd?
C) (x+C)02x+Y) + 1 = 0
A) f(x) = 5x + sin(4x)
D) (2x+ y + C)e(2x+Y) + 1 = 0
B) f(x) = 4x3 + 7tanx
C) f(x) = 7x4 + 8x2 - 6x
160) What will be the sum of coefficients of even powers D) f(x) = 5x2 + cos(6x)
of x in the expansion of (1 + 3x)10?
A) 524144
B) 524414 165) Two matrices, A and B, are both 5 X 5 square
matrices such that A = kB, where k is a non zero constant.
C) 524800
If IBI = z, then what will be the value of I4(A + B)I?
D) 524288 A) 5z
B) (20k + 20)z
C) 3125z
D) (4k + 4)5z

Page 20 of 24

166) The mean of a group of data is given as 27. Data is 171) We are given that p and q are two complex numbers
39, 21, 18, X, Y, 24. What could be the values of X and such that 1p-Fq1 = IPI lql. The value of arg(p) - arg(q) is
Y, if both X and Y are prime? A) 0
A) X= 23, Y= 29 B) Tr/2
B) X= 29, Y= 31 C) Tr/3
C) X = 26, Y= 34 D) 37/4
D) X = 12, Y = 48

172) If — Tr/2 < p < -1-02, then the values of 'P' for
167) A set P is taken such that P = {2/3P I p is a natural which 2 sin2p — 7 sin p + 3 > 0, lie in
number}. What will be the sum of elements of set P? A) (0, Tr/2)
A) 1 B) (-7/2, --rr/6)
B) 2/3 C) [—Tr/2, Tr/6)
C) 5/3 D) (--rr/2, 0)
D) 2

173) Two fair coins are thrown together. Only if heads
168) M = [mij], is a 4 X 4 square matrix, where appear on both coins, a fair dice is thrown on which
i = 1, 2, 3, 4 and j = 1, 2, 3, 4. In M, mq = sin (i.j)x. What natural numbers from 1 to 6 are written on the faces.
will be the value of the determinant IMI at x = Tr/3? What is the probability that face on which 2 is written will
appear on the dice?
A) 0
A) 1/4
B) 1
B) 1/6
C) -1
C) 1/12
D) 1/2
D) 1/24

169) The probability that Madhu will pass in her terminal
exam is 1/3. The probability that Meena will fail in same 174) It is given that zr = cos(rd2r) + isin(Tr/29. The value
exam is 3/4. What is the probability that exactly one of of the product Z1.Z2.Z3.Z4 iS

them passes in this exam? A) 0
A) 5/12 B) 1
B) 1/4 C) -1
C) 1/6 D) 1 + i
D) 11/24

175) If f(x) = 4[(sin 2x + 2)(cos 2x + 2)] for x is a real
170) What will be the area enclosed by the ellipse given number, then which of the following values lies in the
domain of f(x) but NOT in the range of f(x)?
4x2 9y2
1? A) 16
by 81 + 49 ='
B)'12
A) 16.49 sq. units
C) 1
B) 24.72 sq. units
D) (1/-\/2) + 2
C) 32.97 sq. units
D) 48 sq. units

Page 21 of 24

176) A set T is given as T = {xE R 1 (x - 3) = (x + 4)2, x <
2}. Which of these would be TRUE about the set T?
A) T is an empty set
B) T is a singleton set
C) x = 3 is a member of T
D) x = -4 is a member of T

177) If S = sin2p — i. sin(2p) (sin2 p) + sin(3p)(sin3p) —
1sin(4p)((sin4p) + •• • 00

then tan S =
cost p
A)
1 + cosp. sinp

sin= p
B)
1 + cosp.sinp

sine p
C)
1 + cos 2p
D) 0

178) A plane passes through the points (2, 1, -1) and
(-1, 3, 4). Also, this plane is perpendicular to the plane
x - 2y + 4z = 10. The equation of the plane is
A) 7x + 9y + 6z = 23
B)x+y+z=2
C)7x+y+z= 0
D) 18x + 17y + 4z = 49

179) What will be the distance of point (2, 4, -1) from the
straight line given by (x+5) = (y+3)/4 = (6-z)/9?
A) 5 units
B) 6 units
C) 7 units
D) 9 units

180) What will be the coordinates of foot of perpendicular
from the point (1, 1.5, 2) to the plane
2x - 2y + 4z + 5 = 0?
A) (1, 1/2, 1)
B) (0, 5/2, 0)

C) (0, 0, -5/4)
D) (6, 1, -15/4)

Page 22 of 24