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2011 O.U.A.T Question with Answer
Physics
1. Ohm’s law is valid when the temperature of the conductor is
(a) constant
(b) very high
(c) very low
(d) varying
Answer: (a)
2. According to the Kirchhoff’s law the sum of the products of current and resistance as well as emfs in a closed loop is
(a) greater than zero
(b) less than zero
(c) zero
(d) determined by the emf.
Answer: (b)
3. What happens during the charging of acid cell?
(a) Voltage increases.
(b) Energy is given out.
(c) Relative density of electrolyte decreases.
(d) Cathode becomes chocolate brown.
Answer: (b)
4. The relative density of the electrolyte of acid accumulator should not be allowed to fall below
(a) 1.80
(b) 1.50
(c) 1.28
(d) 1.18
Answer: (d)
5. The electric cell is a device that obtains
(a) electrons
(b) electric-charge
(c) electric energy from chemical energy
(d) electric force
Answer: (c)
6. What is the nature of graph between temperature and thermo emf?
(a) Hyperbola
(b) Straight line
(c) Parabola
(d) Some other curve
Answer: (c)
7. Two bulbs, one of 50 watt and another 25 watt are connected series to the mains. The current flowing through them will be in the ratio
(a) 2 : 1
(b) 1 : 2
(c) 1
(d) 2 : 3
Answer: (c)
8. Electric current is passed through the following solutions. In which case hydrogen will be liberated at the cathode?
(a) Sugar
(b) Sodium hydroxide
(c) Sulphuric acid
(d) Copper & Sulphate
Answer: (c)
9. An electric kettle is rated at 500 w. The time taken to heat 0.5 litre of water from 30℃ to 100℃ in this kettle is
(a) 7.9 minutes
(b) 3.9 minutes
(c) 4.9 minutes
(d) 5.9 minutes
Answer: (c)
10. The resistance of an ideal voltmeter is
(a) zero
(b) high
(c) infinite
(d) low
Answer: (c)
11. Of the following an ideal voltmeter is
(a) moving coil voltmeter
(b) voltameter
(c) an electrometer
(d) hot wire voltmeter
Answer: (d)
12. A copper rod moves parallel to the horizontal direction. The induced e.m.f. developed across its ends due to earth’s magnetic field will be maximum at the
(a) equator
(b) latitude 30°
(c) latitude 60°
(d) poles
Answer: (d)
13. Dynamo is designed on the principle of
(a) electromagnetic induction
(b) self induction
(c) mutual induction
(d) None of the above
Answer: (a)
14. What does a dynamo generate ?
(a) Electrons
(b) Charge
(c) emf
(d) None of the above
Answer: (c)
15. A choke coil should have
(a) high resistance low inductance
(b) high resistance high inductance
(c) low resistance high inductance
(d) low resistance low inductance
Answer: (c)
16. An AC. series circuit contains 8 ohm of resistance and 6 ohm of inductive reactance.
(a) 14 ohm
(b) 2 ohm
(c) 10 ohm
(d) 14.2 ohm
Answer: (c)
17. What is the nature of path of an electron when it moves in a transverse electric field?
(a) Straight line
(b) Ellipse
(c) Parabola
(d) Circle
Answer: (d)
18. The seconds hand of a clock is 2.0 cm long. Displacement of the tip of the hand in 15 seconds is
(a) 2.0 cm.
(b) 2√2 cm.
(c) 1.0 cm.
(d) 0.5 cm.
Answer: (b)
19. A bus travels the first one-third distance at a speed of 10 km/hr., the next one-third distance at 20 km/hr. and the last one third distance at 60 km/hr. The average speed of the bus is
(a) 16 km/hr.
(b) 18 km/hr.
(c) 2√2 km/hr.
(d) √2 km/hr.
Answer: (b)
20. A shell following a parabolic path explodes somewhere in its flight. The centre of mass of fragments will continue to move in
(a) vertical direction
(b) any direction
(c) horizontal direction
(d) same parabolic path
Answer: (a)
21. If the earth would have been of iron of density 8 × 103 kg/m3, then the value of acceleration due to gravity (g) would be
(a) zero
(b) equal to g
(c) less than
(d) greater than g
Answer: (d)
22. If the diameter of the earth becomes two times of its present value and its mass remains unchanged, then how would the weight of an object on the surface of the earth be effected?
(a) It will become half
(b) It will become one-fourth.
(c) It will become double.
(d) It will become four times.
Answer: (b)
23. The compressibility of water is 4 × 10−5 per unit at mospheric pressure. The decrease in volume of 10 cm3 of water under a pressure of 100 atmosphere will be
(a) 0.004 cm3
(b) 0.025 cm3
(c) 0.4 cm3
(d) 4 × 10−5 cm3
Answer: (c)
24. A wooden cube first floats inside water when a 200 g mass is placed on it. When the mass is removed, the cube is 2 cm above water level. The size of cube is
(a) 5 cm
(b) 10 cm
(c) 15 cm
(d) 20 cm
Answer: (b)
25. A boat having a length of 3 metres and breadth 2 metres is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is
(a) 60 kg
(b) 62 kg
(c) 72 kg
(d) 28 kg
Answer: (a)
26. No other thermometer is suitable as a platinum resistance thermometer to measure temperatures in the entire range of
(a) −50℃ to + 350℃
(b) −200℃ to + 600℃
(c) 0℃ to 100℃
(d) 100℃ to 1500℃
Answer: (b)
27. The temperature of the sun is measured with
(a) platinum thermometer
(b) gas thermometer
(c) pyrometer
(d) vapour pressure thermometer
Answer: (c)
28. Absolute scale of temperature is reproduced in the laboratory by making use of a
(a) radiation pyrometer
(b) platinum resistance thermometer
(c) constant volume helium gas thermometer
(d) constant pressure ideal gas thermometer
Answer: (d)
29. 336 g of ice at 0℃ is mixed with 336g of water at – 80℃. The final temperature of
(a) 80℃
(b) 40℃
(c) 60℃
(d) 0℃
Answer: (d)
30. NTP corresponds to a temperature of
(a) 0 K
(b) −273 K
(c) 273 K
(d) None of the above
Answer: (c)
31. An isochoric process is one which takes place at
(a) constant internal energy
(b) constant entropy
(c) constant volume
(d) constant pressure
Answer: (c)
32. If the temperature of black body raised by 5%, the heat energy radiated would increase by
(a) 6%
(b) 20%
(c) 21.51%
(d) 41.61%
Answer: (c)
33. On a cold morning a metal surface will fell colder to touch than a wooden surface, because metal has
(a) high specific heat
(b) low specific heat
(c) high thermal conductivity
(d) low thermal conductivity
Answer: (b)
34. A body of mass 5 gram is executing S.H.M. about a fixed point O with an amplitude of 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a distance (in cm)
(a) 5
(b) 5√2
(c) 5√3
(d) 10√2
Answer: (c)
35. A tunnel has been dug through centre of the earth and a ball is released in it. It executes S.H.M. with time period
(a) 42 minutes
(b) 1 day
(c) 1 hour
(d) 84.6 minutes
Answer: (d)
36. A stone is dropped into a lake from a tower 500 metre high. The sound of splash will be heard by the man approximately after
(a) 11.5 sec.
(b) 21 sec.
(c) 10 sec.
(d) 14 sec.
Answer: (c)
37. In case of the longitudinal mechanical wave in air what is the phase difference between the pressure wave and the displacement wave?
(a) 0°
(b) 45°
(c) 90°
(d) 180°
Answer: (c)
38. At what temperature the velocity of sound in air is 1.5 times the velocity at 7℃?
(a) 357℃
(b) 476°
(c) 588℃
(d) 819℃
Answer: (a)
39. To hear a clear echo, the reflecting surface must be at a minimum distance of
(a) 10 m
(b) 16.5 m
(c) 33 m
(d) 66 cm
Answer: (c)
40. The distance between any two successive compression zones in medium in which a sound wave of 50 cm wave-length is travelling is
(a) 12.5 cm
(b) 25 cm
(c) 37.5 cm
(d) 50 cm
Answer: (d)
41. When a wave passes from one medium to another, there is change in
(a) frequency and velocity
(b) frequency and wavelength
(c) wavelength and velocity
(d) frequency, wavelength and velocity
Answer: (c)
42. A fork gives 5 beats with a 40 cm length of sonometer wire. If the length of the wire is shortened by 1 cm, the number of beats is still the same. he frequency o f the fork is
(a) 385 Hz
(b) 600 Hz
(c) 395 Hz
(d) 400 Hz
Answer: (c)
43. A pipe closed at one end and open at the other end, resonates with sound waves of frequency 135 Hz and also 165 Hz, but not with any wave of frequency intermediate between these two. Then the frequency of the fundamental note is
(a) 30 Hz
(b) 15 Hz
(c) 60 Hz
(d) 7.5 Hz
Answer: (a)
44. The penetration of light into the region of geometrical shadow is called
(a) Polarisation
(b) Interference
(c) Diffraction
(d) Refraction
Answer: (c)
45. When light is transmitted from air to glass, its
(a) wave-length increases
(b) wave-length decreases
(c) frequency increases
(d) There occurs no change.
Answer: (b)
46. Which of the following is not the case with the image formed by a plane mirror?
(a) It is erect.
(b) It is virtual.
(c) It is diminished.
(d) It is at the same distance as the object.
Answer: (c)
47. The low, generally negative D.C. voltage applied to the grid is called
(a) bias
(b) signal
(c) cut off voltage
(d) None of the above
Answer: (a)
48. When a compact disc is illuminated by a source of white light, coloured lines are observed. This is due to
(a) dispersion
(b) diffraction
(c) interference
(d) refraction
Answer: (a)
49. A beam of monochromatic light is refracted from vacuum into a medium of refractive index 1.5. The wavelength of refracted light will be
(a) dependent on intensity of refracted light
(b) same
(c) smaller
(d) larger
Answer: (c)
50. A convex lens of focal length 30 cm forms an image of height 2 cm for an object situated at infinity. If a concave lens of focal length 20 cm is placed coaxially at a distance of 26 cm in front of convex lens, then size of final image would be
(a) 1.5 cm
(b) 2 cm
(c) 2.5 cm
(d) 4 cm
Answer: (c)
51. A form of electromagnetic radiation with wave-lengths intermediate between those of visible light and those of micro-wave is known as
(a) infra-red radiation
(b) ultraviolet radiation
(c) visible-spectrum
(d) None of the above
Answer: (a)
52. The focal length of a lens for red and violet colours are 16.4 cm and 16 cm. What is the dispersive power?
(a) 0.050
(b) 0.025
(c) 0.012
(d) 0.006
Answer: (b)
53. Which of the following provides warmth in sunlight?
(a) X-rays
(b) Ultraviolet rays
(c) Visible light
(d) Infrared rays
Answer: (d)
54. What causes chromatic aberration ?
(a) None paraxial rays
(b) Paraxial rays
(c) Variation of focal length with colour.
(d) Difference in radii of curvature of the bonding surfaces of the lens
Answer: (d)
55. Diameter of objective of telescope is large for
(a) greater magnification
(b) greater resolution
(c) greater ease in handling.
(d) greater magnifying power
Answer: (d)
56. A person cannot see object clearly beyond 50 cm. The power of the lens to correct the vision is
(a) +5 diopter
(b) −0.5 diopter
(c) −2 diopter
(d) +2 diopter
Answer: (d)
57. A large magnet is broken into two pieces so that their lengths are in the ratio 2 : 1. The pole strengths of the two pieces will have ratio
(a) 2 : 1
(b) 1 : 2
(c) 4 : 1
(d) 1 : 1
Answer: (d)
58. The ratio of magnetic fields due to a small bar magnet at a given distance in the end on position to broad side on position is
(a) 1/4
(b) 1/2
(c) 1
(d) 2
Answer: (d)
59. When magnetizing field on a bar of steel is increased, its magnetization given on
(a) decreasing
(b) increasing
(c) increasing first and then decreases
(d) increasing till it becomes constant
Answer: (d)
60. The hysteresis cycle for the material of a transformer core is
(a) short and wide
(b) tall and narrow
(c) tall and wide
(d) short and narrow
Answer: (b)
61. In a cassette player, materials used for coating magnetic tapes are
(a) cobalt
(b) CoFe2O4
(c) NiFe2O4
(d) Nickel
Answer: (b)
62. Water is
(a) diamagnetic
(b) paramagnetic
(c) ferromagnetic
(d) None of these
Answer: (a)
63. DEBYE is the unit of
(a) Electric dipole moment
(b) Electric flux
(c) Electric potential
(d) Electric field
Answer: (a)
64. A hollow metallic sphere qf radius 10 cm is changes such that potential of its surface is 80 volt. The potential at the centre of the sphere would be
(a) zero
(b) 8 V
(c) 80 V
(d) 800 V
Answer: (c)
65. When a dielectric material is introduced between the plates of a changed condenser then electric field between the plates
(a) decreases
(b) increases
(c) remains constant
(d) None of these
Answer: (a)
66. The electric field between the two spheres of a charges spherical condenser
(a) is zero
(b) is constant
(c) increases with distance from the centre
(d) decreases with distance from the centre
Answer: (b)
Chemistry
1. Acetylene reacts with HCN to produce
(a) CH4
(b) CH2 = CH.CN
(c) C2H5CN
(d) CH3CN
Answer: (b)
2. Among the following compounds, the strongest acid is
(a) HC ≡ CH
(b) C6H6
(c) C2H6
(d) CH3OH
Answer: (a)
3. The product(s) obtained via oxymercuration (HgSO4 + H2SO4) of 1-butyne would give
(a) 
(b) CH3CH2CH2CHO
(c) CH3CH2CHO + HCHO
(d) CH3CH2COOH + HCOOH
Answer: (a)
4. Propyne and propene can be distinguished by
(a) Conc. H2SO4
(b) Br2 in CCl4
(c) dil H2SO4
(d) AgNO3 in ammonia
Answer: (b)
5. When propyne is treated with HgSO4/H2SO4 product is
(a) propanol
(b) propenal
(c) propanone
(d) propanoic acid
Answer: (d)
6. Which of the following will form sodium salt?
(a) CH3 – CH3
(b) CH3-C = C-CH3
(c) CH3-CH2-C ≡ CH
(d) None of these
Answer: (c)
7. KMnO4 will oxidize acetylene to
(a) ethylene glycol
(b) ethyl alcohol
(c) oxalic acid
(d) acetic acid
Answer: (c & d)
8. Octane number can be changed by
(a) isomerisation
(b) alkylation
(c) cyclisation
(d) All of these
Answer: (b)
9. Anti-Markownikov addition of HBr is not observed in
(a) Propene
(b) -Butene
(c) But-2-ene
(d) Pent-2-ene
Answer: (c)
10. 2-hexyne gives trans-2-hexane on treatment with
(a) Li-NH3/C2H5OH
(b) Pd/BaSO4
(c) LiAlH4
(d) Pt/H2
Answer: (b)
11. Out of the following compounds, which one will have a zero dipole moment?
(a) 1, 1-dichloroethylene
(b) cis-1, 2-dichloroethylene
(c) trans-1, 2-dichloroethylene
(d) None of these compounds
Answer: (c)
12. n-propyl bromide on treatment with ethanolic potassium hydroxide produces
(a) propane
(b) propene
(c) propyne
(d) propanal
Answer: (b)
13. 1-chlorobutane on reaction with alcoholic potash gives
(a) 1-Butene
(b) 1-Butanol
(c) 2-Butene
(d) 2-Butanol
Answer: (a)
14. The produce formed on reaction of ethyl alcohol with bleaching powder is
(a) CH3OH
(b) CH3-CH2-OH
(c) CHCl3
(d) Both (a) and (b)
Answer: (c)
15. Which of the following has the highest nucleophilicity ?
(a) F−
(b) OH−
(c) CH3−
(d) NH2−
Answer: (a)
16. Among the following the molecule with highest dipole moment is
(a) CH3Cl
(b) CH2Cl2
(c) CHCl3
(d) CCl4
Answer: (a)
17. When chloroform is boiled with NaOH, it gives
(a) formic acid
(b) trihydroxy methene
(c) acetylene
(d) sodium formate
Answer: (d)
18. The colour of CoCl2 . 5NH3, H2O is
(a) orange yellow
(b) orange
(c) green
(d) pink
Answer: (d)
19. Which one of the following is an example of non-typical transition elements?
(a) Li, K, Na
(b) Be, Al, Pb
(c) Zn, Cd, Hg
(d) Ba, Ca, Sr
Answer: (c)
20. Which of the following does not have valence electron in 3d-subshell?
(a) Fe(III)
(b) Mn(II)
(c) Cr(I)
(d) P(0)
Answer: (b)
21. Effective magnetic moment of Sc3+ ion is
(a) 1.73
(b) 0
(c) 5.92
(d) 2.83
Answer: (d)
22. The pair of compounds having metals in their highest oxidation state is
(a) MnO2, FeCl3
(b) [MnO4−]CrO2, Cl2
(c) [Fe(CN)6]3−, [Co(CN)3]
(d) [NICl4]2−, [CoCl4−]
Answer: (b)
23. Which one of the following are prepared by electrolytic method ?
I. Mg II. Sn III. Sulphur IV. F2
(a) I and II
(b) II and III
(c) III and IV
(d) I and IV
Answer: (d)
24. Refactory materials are used in furnace because they
(a) posses great structural strength
(b) can withstand high temperature
(c) are chemically inert
(d) do not require replacement
Answer: (b)
25. An important ore of Magnesium is
(a) Malachite
(b) Cassiterite
(c) Carnallite
(d) Galena
Answer: (c)
26. Red hot iron absorbs SO2 giving the products
(a) FeS + O2
(b) Fe2O3 + FeS
(c) FeO + FeS
(d) FeO + S
Answer: (b)
27. All ores are minerals, while al minerals are not ores. because
(a) the metal can’t be extracted economically from al the minerals
(b) minerals are complex compounds
(c) the minerals are obtained from mines
(d) All of these are correct.
Answer: (a)
28. Which of the following process is used in the extractive metallurgy of magnesium?
(a) Fused salt electrolysis
(b) Self-reduction
(c) Aqueous solution electrolysis
(d) Thermite reduction
Answer: (a)
29. The ore which contains copper and iron both is
(a) cuprite
(b) chalcocite
(c) chalcopyrite
(d) malachite
Answer: (c)
30. White phosphorus reacts with caustic soda. The products are PH3 and NaH2PO2. This reaction is an example of
(a) oxidation
(b) reduction
(c) oxidation and reduction
(d) neutralization
Answer: (c)
31. HBr and HI reduce sulphuric acid, HCl can reduce KMnO4 and HF can reduce
(a) H2SO4
(b) KMnO4
(c) K2Cr2O7
(d) None of these
Answer: (d)
32. Chlorine acts as a bleaching agent only in the presence of
(a) dry air
(b) moisture
(c) sunlight
(d) pure oxygen
Answer: (b)
33. HNO3 reacts with iodine to give
(a) HI
(b) HOI
(c) HOIO3
(d) HOIO3
Answer: (a)
34. When I2 is dissolved in CCl4, the colour that result is
(a) brown
(b) violet
(c) colour less
(d) bluish green
Answer: (a)
35. The oxidation number of sulphur in S8, S2F2 . H2S respectively are
(a) 0, +1 and −2
(b) +2, +1 and −2.
(c) 0, +1, and +2
(d) −2, +1 and −2
Answer: (a)
36. Among the following, identify the species with an atom in +6 oxidation state,
(a) MnO4−
(b) Cr(CN)63−
(c) NiF62−
(d) CrO2Cl2
Answer: (d)
37. The reaction : 3ClO−(aq) → ClO3−(aq) + 2Cl−(aq) is an example of
(a) oxidation reaction
(b) reduction reaction
(c) disproportionation reaction
(d) decomposition reaction
Answer: (c)
38. Oxidation state of Osmium (Os) in OsO4 is
(a) +7
(b) +6
(c) +4
(d) +8
Answer: (d)
39. How many isomers of C5H11OH will be primary alcohols?
(a) 5
(b) 4
(c) 2
(d) 3
Answer: (d)
40. When CO2 is passed through solution of calcium hydroxide, which one of the following compound is precipitated?
(a) Ca(HCO3)2
(b) CaO
(c) CaCO3
(d) Ca(OH)2
Answer: (a)
41. Oleum is chemically known as
(a) H2SO3
(b) H2SO5
(c) H2S2O7
(d) H2S2O8
Answer: (c)
42. Ferric alum has the composition (NH4)2SO4, Fe2(SO4)3, xH2 The value of x is
(a) 7
(b) 24
(c) 6
(d) 15
Answer: (b)
43. The IUPAC name of the compound 
is
(a) 2-ethyl butanamide
(b) 2-methylbutanamide
(c) 1-amino-2-methylpropane
(d) 1-amino-3-methylpropane
Answer: (b)
44. The compound is known by which of the following names ?
(a) Bicyclo [2, 2, 2] octane
(b) Bicyclo [2, 2, 1] octane
(c) Bicyclo [1, 2, 1] octane
(d) Bicyclo [1, 1, 1] octane
Answer: (a)
45. IUPAC name of 
is
(a) 2-cyano, 3-methyl hexane
(b) 3-methyl, 5-cyanohexane
(c) 2, 2-dimethyl-4-cyanopentane
(d) 2-cyano, 3-methyl hexane
Answer: (c)
46. IUPAC name of the compound 
is
(a) 4-methylpentane-2-ol
(b) 2-methylpentanol-4
(c) 4, 4-dimethylbutan-2-ol
(d) 4-methylpentan-2-ol
Answer: (a)
47. Successive alkanes differ by
(a) > CH2
(b) -C-H
(c) -CH3
(d) C2H4
Answer: (a)
48. The IUPAC name of n-butyl chloride is
(a) 1-chlorobutane
(b) n-chlorobutane
(c) ter-butylchloride
(d) 2-methylbutane
Answer: (a)
49. How many methyl groups are present in 2, 5-dimethyl-4-ethy name?
(a) 2
(b) 3
(c) 4
(d) 5
Answer: (b)
50. A fractionation column is used in
(a) Sublimation
(b) Distillation
(c) Fractional distillation
(d) Chromatography
Answer: (c)
51. Copper wire test of halogens is known as
(a) Beilstein’s test
(b) Liebig’s test
(c) Fusion test
(d) None of these
Answer: (a)
52. Nitrogen is an organic compound can be estimated by
(a) Kjeldahl’s method only
(b) Duma’s method only
(c) Both the methods
(d) None of these methods
Answer: (c)
53. The Beilstein test for organic compounds is used to detect
(a) Nitrogen
(b) Sulphur
(c) Carbon
(d) Halogens
Answer: (d)
54. The density of air is 0.00130 g/ml. The vapour density of air will be
(a) 0.00065
(b) 0.65
(c) 14.4816
(d) 14.56
Answer: (a)
55. Which of the following is not a nucleophile?
(a) CN−
(b) H2O
(c) BF3
(d) Carbanion
Answer: (c)
56. Of the following compounds, the one having linear structure is
(a) Methane
(b) Ethylene
(c) Acetylene
(d) Water
Answer: (c)
57. The Cl-C-Cl angle in 1, 1, 2, 2-tetrachloroethene and tetrachloromethane will be about
(a) 120° and 109.5°
(b) 90° and 109.5°
(c) 109.5° and 90°
(d) 109.5° and 120°
Answer: (a)
58. Which of the following is an electrophile?
(a) H2O
(b) NH3
(c) AlCl3
(d) C2H5NH3
Answer: (c)
59. The most common type reaction in aromatic compounds is
(a) elimination reaction
(b) addition reaction
(c) electrophilic substitution reaction
(d) rearrangement reaction
Answer: (c)
60. Among the following is strongest nucleophile is
(a) C2H5SH
(b) CH3COO−
(c) CH3NH2
(d) NC-CH2
Answer: (c)
61. Cetane number of diesel fuel increases with the addition of
(a) Decane
(b) Hexadecane
(c) Pentane
(d) Methyl napthalene
Answer: (a)
62. Petroleum is a mixture of
(a) alkanes
(b) alkenes
(c) alkynes
(d) alkyl halides
Answer: (a)
63. Ethyl iodide when heated with sodium in dry ether gives pure
(a) C4H10
(b) C2H6
(c) C3H8
(d) C2H5OH
Answer: (a)
64. Which one of the following compounds cannot be prepared by Wurtz reaction?
(a) CH4
(b) C2H6
(c) C3H8
(d) C4H10
Answer: (a)
65. Which of the following alkenes will react fastest with H2 under catalytic conditions ?
(a) 
(b) 
(c) 
(d) 
Answer: (d)
66. Which of the following is the most stable?
(a) 1-butene
(b) 2-butene
(c) 1-pentene
(d) 2-pentene
Answer: (d)
Mathematics
1. A single letter is selected at random from the word ‘PROBABILITY’. The probability that it is a vowel is
(a) 3/11
(b) 4/11
(c) 2/11
(d) 0
Answer: (a)
2. Two cards are drawn at random from a pack of 52 cards. The probability of these being queens is
(a) 1/26
(b) 1/2
(c) 1/221
(d) None of these
Answer: (c)
3. If 
(a) x = f(y)
(b) f(1) = 3
(c) y increases with x for x < 1
(d) f is not a rational function of %
Answer: (a)
4. If log10 x = y, then log10 3x2 equals
(a) 
(b) 
(c) 
(d) 
Answer: (d)
5. 
(a) 1/3
(b) −1/3
(c) 1/5
(d) −1/6
Answer: (d)
6. If 
= 0, [x] = 0
Where [x] denotes the greatest integer ≤ x, then 
equals
(a) 1
(b) 0
(c) −1
(d) None of these
Answer: (d)
7. If 
is
(a) 
(b) 
(c) 
(d) 
Answer: (c)
8. 
(a) 1/2
(b) 2/3
(c) 3
(d) None of these
Answer: (a)
9. The maximum value of sin x + cos x =
(a) 1
(b) 2
(c) √2
(d) 1/√2
Answer: (c)
10. 
(a) 
(b) 
(c) 
(d) 
Answer: (a)
11. 
(a) 
(b) 
(c) 
(d) 
Answer: (b)
12. 
(a) 
(b) log 2
(c) log 3
(d) log √3
Answer: (d)
13. The value of 
is
(a) 0
(b) 2
(c) 3
(d) 4
Answer: (c)
14. The area between the curve y = 1 – |x| and X-axis is
(a) 1
(b) 1/2
(c) 2
(d) 1/3
Answer: (a)
15. The degree of the differential equation 
is
(a) 1
(b) 2
(c) 3
(d) 4
Answer: (b)
16. The solution set of the inequaiton 2x + y > 5 is
(a) half plane that contains the origin
(b) open half plane not containing the origin
(c) whole XY-plane except the points lying on the line 2x + y = 5
(d) None of these
Answer: (d)
17. The maximum value of the objective function P = 5x + 3y, subject to the constraints x ≥ 0, y ≥ 0 and 5x + 2y ≤ 10 is
(a) 6
(b) 10
(c) 15
(d) 25
Answer: (c)
18. If A = {2, 4, 5}, B = {7, 8, 9} then n(A × B) =
(a) 6
(b) 9
(c) 3
(d) 0
Answer: (b)
19. If A & B are sets, then A ∩ (B – A) is
(a) ϕ
(b) A
(c) B
(d) None of these
Answer: (a)
20. If a set A has a n elements, then the total number of subsets of A is
(a) n
(b) n2
(c) 2n
(d) 2n
Answer: (c)
21. 
(a) a rational number
(b) an irrational number
(c) an imaginary number
(d) None of these
Answer: (a)
22. If x and y are real positive numbers, then
(a) 
(b) 
(c) 
(d) 
Answer: (a)
23. If 
then z69 is equal to
(a) −i
(b) i
(c) 1
(d) −1
Answer: (a)
24. The number 
is equal to
(a) i
(b) −1
(c) 1
(d) 0
Answer: (d)
25. The value of 
(a) 2
(b) −2
(c) 1
(d) 0
Answer: (c)
26. If P and P’ be perpendicular from the origin upon the straight lines,
x sec θ + y cosec θ = a and x cos θ – y sin θ = a cos 2θ, then the value of the expression 4P2 + P’2 is
(a) a2
(b) 3a2
(c) 2a2
(d) 4a2
Answer: (a)
27. The lines x + (a – 1)y + 1 = 0 & 2x + a2y – 1 = 0 are perpendicular if
(a) |a| = 2
(b) 0 < a < 1
(c) −1 < a < 0
(d) a = −1
Answer: (d)
28. The equation of the line parallel to x-axis bisecting the joint of (1, 4) and (−2, 6) is
(a) y = 5
(b) y = 3
(c) y + 1 = 0
(d) x = 5
Answer: (a)
29. The circle x2 + y2 + 4x – 7y + 12 = 0 cuts an intercept on y-axis equal to
(a) 1
(b) 3
(c) 4
(d) 7
Answer: (a)
30. The equation of chord of the circle x2 + y2 – 4x = 0 whose midpoint is (1, 0) is
(a) y = 2
(b) y = 1
(c) x = 2
(d) x = 1
Answer: (d)
31. The equation of the circle passing through the origin is x2 + y2 – 6x + 3y = 0. The equation of one of its diameter is
(a) x + 3y = 0
(b) x + y = 0
(c) x = y
(d) 3x + y = 0
Answer: (a)
32. The slope of a chord of the parabola y2 = 4ax, which is normal at one end and which subtends a right angle at the origin is
(a) 
(b) 
(c) ±2
(d) None of these
Answer: (c)
33. The eccentric angle of a point on the ellipse 
whose distances from the centre of the ellipse is 2, is
(a) 
(b) 
(c) 
(d) 
Answer: (d)
34. The number of values of c such that the straight line y = 4x + c touches the curve 
is
(a) 0
(b) 1
(c) 2
(d) Infinite
Answer: (c)
35. If the major axis of an ellipse is thrice the minor axis, then its eccentricity is equal to
(a) 1/3
(b) 1/√3
(c) 1/√2
(d) 2√2/3
Answer: (d)
36. For m ≠ n, if tan mθ = tan nθ, then the different values of θ are in
(a) NO particular sequence
(b) G.P.
(c) H.P.
(d) A.P.
Answer: (d)
37. tan 20° + tan 40° + √3 tan 20° tan 40° is equal to
(a) 
(b) 
(c) 
(d) 
Answer: (c)
38. Let sin x+ sin y = a and cos x + cos y = b then sin(x + y) is equal to
(a) 
(b) 
(c) 
(d) 
Answer: (c)
39. If sin A = sin B, cos A = cos B, then the value of A in terms of B is
(a) nπ + B
(b) nπ + (−1)n B
(c) 2nπ + B
(d) 2nπ − B
Answer: (a)
40. The number of real solutions of 
is
(a) zero
(b) one
(c) two
(d) infinite
Answer: (b)
41. 
(a) π
(b) π/2
(c) π/3
(d) π/4
Answer: (c)
42. The value of 
is
(a) 
(b) 
(c) 
(d) 
Answer: (b)
43. If sin−1 x + sin−1 y + sin−1 z = π then x4 + y4 + z4 + 4x2y2z2 = k(x2y2 + y2z2 + z2x2) where k = ?
(a) 1
(b) 2
(c) 4
(d) None of these
Answer: (b)
44. A triangle ABC is right-angled at B. Then the diameter of the incircle of the triangle is
(a) 2(c + a – b)
(b) c + a – 2b
(c) c + a – b
(d) None of these
Answer: (b)
45. If the angles of triangle are in the ratio 1 : 2 : 3, he corresponding sides are in the ratio
(a) 2 : 3 : 1
(b) √3 : 2 : 1
(c) 2 : √3 : 1
(d) 1: √3 : 1
Answer: (d)
46. The maximum number of real roots of the equation x2n – 1 = 0 is
(a) 2
(b) 3
(c) n
(d) 2n
Answer: (a)
47. We are given b, c & sin B such that B is acute and b < c sin B, then
(a) No triangle is possible
(b) One triangle is possible
(c) Two triangles are possible
(d) A right-angled triangle is possible
Answer: (b)
48. The expression ax2 + bx + c, a > 0 is positive for all real x only if
(a) b2 – 4ac = 0
(b) b2 – 4ac ≠ 0
(c) b2 – 4ac < 0
(d) b2 – 4ac > 0
Answer: (d)
49. If α, β are the roots of quadratic equation x2 + bx – c = 0 then the equation whose roots are b & c is
(a) x2 + αx – β = 0
(b) x2 – [(α + β) + αβ] x – αβ (α + β) = 0
(c) x2 + [(α + β) + αβ] x + αβ (α + β) = 0
(d) x2 + (αβ + α + β) x – αβ(α + β) = 0
Answer: (c)
50. If the ratio of the roots of the equation x2 + bx + c = 0 is the ratio of the roots of the equation x2 + qx + r = 0 then
(a) r2b = qc2
(b) r2c = qb2
(c) c2r = q2b
(d) b2r = q2c
Answer: ()
51. The roots of the equation 4x – 3 . 2x + 3 + 128 = 0 are
(a) 1 and 2
(b) 2 and 3
(c) 3 and 4
(d) 4 and 5
Answer: (c)
52. If ax = bx = cz and a, b, c are in GP. then x, y, z are in
(a) A.P.
(b) G.P.
(c) H.P.
(d) None of these
Answer: (c)
53. If 
, the value of n is
(a) 35
(b) 36
(c) 37
(d) 38
Answer: (a)
54. If the sum of n terms of the series 23 + 43 + 63 + …….. ∞ is 3528, then n equals
(a) 6
(b) 7
(c) 8
(d) 9
Answer: (a)
55. The 99th term of the series 2 + 7 + 14 + 23 + 34 + , ……. is
(a) 9999
(b) 9998
(c) 10000
(d) None of these
Answer: (b)
56. The letters of the word RANDOM are written in all possible orders and these words are written out as in a dictionary. Then the rank of the word RANDOM is
(a) 614
(b) 615
(c) 613
(d) 616
Answer: (b)
57. How many numbers of five digits can be formed from the digits 2, 0, 4, 3, 8 when repetition of digits is not allowed ?
(a) 96
(b) 120
(c) 144
(d) 14
Answer: (a)
58. If the co-efficient of mth, (m + 1)th and (m + 2)th terms in the expansion of (1 + x)n are in A.P. then
(a) n2 + 4(4m + 1) + 4m2 – 2 = 0
(b) n2 + n(4m + 1) + 4m2 + 2 = 0
(c) (n – 2)m2 = n + 2
(d) (n + 2m)2 = n + 2
Answer: (c)
59. The middle term in the expansion of 
is
(a) 
(b) 
(c) 
(d) 
Answer: (c)
60. The value of the determinant 
is
(a) 
(b) 
(c) 
(d) 
Answer: (b)
61. The inverse of the matrix 
is
(a) A
(b) Aʹ
(c) 
(d) 
Answer: (a)
62. If A and B are any 2 × 2 matrices, then det(A + B) = 0 implies
(a) det A + det B = 0
(b) det A = 0 or det B = 0
(c) det A = 0 and det B = 0
(d) None of these
Answer: (d)
63. Value of a for which 
are coplanar
(a) 2
(b) 4
(c) −4
(d) 3
Answer: (c)
64. If 
the vector form of the component of 
is
(a) 
(b) 
(c) 
(d) 
Answer: (b)
65. The point which divides the line joining the points (2, 4, 5) & (3, 5, −4) in the ratio −2 : 3 lies on
(a) ZOX plane
(b) XOY plane
(c) YOZ plane
(d) None of these
Answer: (c)
66. If θ is an angle given by 
where α, β & γ are the angles made by a line with the positive directions of the axes of reference, then the measure of θ is
(a) π/3
(b) π/6
(c) π/2
(d) π/4
Answer: (a)
67. Weighted mean is computed by the formula
(a) 
(b) 
(c) 
(d) 
Answer: (c)
68. The mean and S.D. of 1, 2, 3, 4, 5, 6 is
(a) 
(b) 
(c) 
(d) 
Answer: (a)
Biology
1. Excess of the white corpuseles in blood is called
(a) anaemia
(b) leukaemia
(c) anoxia
(d) septicemia
Answer: (b)
2. Which of the following organs develops first?
(a) Liver
(b) Heart
(c) Notochord
(d) Kidney
Answer: (b)
3. Which one of the following diseases is caused by bacteria?
(a) Chicken pox
(b) Poliomyelitis
(c) Influenza
(d) Tuberculosis
Answer: (d)
4. Which of the following micro-organisms can use molecular nitrogen as nutrient?
(a) Methanomonas
(b) Mucor
(c) Rhizobium
(d) All of these
Answer: (c)
5. A dry fruit is dispersed by
(a) wind
(b) Both (A) and (B)
(c) body surfaces of animals
(d) None of these
Answer: (c)
6. The term ‘anaerobic’ means
(a) with glucose
(b) with oxygen
(c) without glucose
(d) without oxygen
Answer: (d)
7. Xylem is primarily instrumental for
(a) conduction of water
(b) conduction of solute
(c) mechanical support
(d) All of these
Answer: (d)
8. Which of the following absorbs part of the isolation and preserves earth is radiated heat?
(a) Nitrogen
(b) Oxygen
(c) Water vapour
(d) Carbon dioxide
Answer: (d)
9. The condition in which there are more than two complete sets of chromosomes is called
(a) Monoploidy
(b) Polyploidy
(c) Aneuploidy
(d) Polytene
Answer: (b)
10. The hardest substances in human body is
(a) chondrin
(b) dentine
(c) enamel
(d) keratin
Answer: (c)
11. Cell was discovered by
(a) Robert Hooke
(b) Leeuwenhock
(c) Robert Brown
(d) Dujardin
Answer: (a)
12. Cell was discovered in the year
(a) 1652
(b) 1656
(c) 1665
(d) 1674
Answer: (c)
13. Nucleolus was discovered by
(a) Oken
(b) Wagner
(c) Robert Brown
(d) Frontana
Answer: (d)
14. Cell theory was proposed by
(a) Schwann
(b) Schleiden
(c) Galeleo
(d) None them
Answer: (b)
15. Father of genetics is
(a) Devries
(b) Correns
(c) Mendel
(d) Tschermuk
Answer: (c)
16. TMV is a full name of
(a) Termie Maselte Virus
(b) Taretic Mosaic Virus
(c) Taitric Mosaic Virus
(d) Tobacco Mosaic Virus
Answer: (d)
17. The hormone insulin which is used in treating diabetes was discovered by
(a) F. G. Banting
(b) Louis Pasteur
(c) J. E. Salk
(d) J. F. Enders
Answer: (a)
18. Colour of blood is red due to
(a) Haemoglobin
(b) WBC
(c) Hormone
(d) Protein
Answer: (a)
19. Cancer caused by
(a) Bacteria
(b) Virus
(c) Fungles
(d) Protozoa
Answer: (a & b)
20. The main constituent of chlorofil is
(a) Mg
(b) Fe
(c) Zn
(d) Cu
Answer: (a)
21. Photosynthesis take place at
(a) fungy
(b) stem
(c) green leaves
(d) roots
Answer: (c)
22. Rickets is caused by the deficiency of
(a) Vitamin A
(b) Vitamin C
(c) Vitamin D
(d) Vitamin B
Answer: (c)
23. The main respiratory substrate of human is
(a) glucose
(b) food
(c) meat
(d) milk
Answer: (a)
24. Example of monosaccharide is
(a) Fructose
(b) Maltose
(c) Lactose
(d) Glucose
Answer: (a & d)
25. Which one of the following is complete flower?
(a) Chinarose
(b) Night queen
(c) Rose
(d) None of these
Answer: (a)
26. Raphides is
(a) Calcium sulphate
(b) Calcium carbonate
(c) Calcium oxalate
(d) None of these
Answer: (c)
27. Excretory organs of planaria is
(a) flame cell
(b) Gills
(c) green glands
(d) Liver
Answer: (a)
28. Example of Beneficial Bacteria is
(a) Rhizobium
(b) Basilas subtilis
(c) Lactobasilus
(d) None of these
Answer: (c)
29. Cholera is caused by
(a) Vibrio cholerae
(b) Clostridium tetani
(c) Tuberculosis
(d) None of these
Answer: (a)
30. Cotton fibre is obtained from the
(a) stem
(b) seed
(c) Leaf
(d) Fruit
Answer: (b)
31. The adult human skeleton consist of
(a) 204 bones
(b) 201 bones
(c) 206 bones
(d) 208 bones
Answer: (c)
32. Gene the basic unit of heredity, was first synthesized in the laboratory by
(a) Hargobind Khorana
(b) Watson and Crick
(c) Gregor Mendel
(d) Arthur Kornberg
Answer: (a)
33. The Central Drug Research Institute of India is located at
(a) Bengaluru
(b) Lucknow
(c) Chennai
(d) Delhi
Answer: (b)
34. The acid present in lemons and oranges is
(a) acetic acid
(b) hydrochloric acid
(c) citric acid
(d) oxalic acid
Answer: (c)
35. The most abundant source of iron is
(a) milk
(b) green vegetables
(c) eggs
(d) beans
Answer: (b)
36. While cooking food, the compounds lost to the maximum extent are
(a) fats
(b) carbohydrates
(c) vitamins.
(d) proteins
Answer: (c)
37. Cholesterol is
(a) type of chlorophyll
(b) derivative of chloroform
(c) fatty alcohol found in animal fats
(d) chromium salt
Answer: (c)
38. Antibodies is the name given to
(a) harmful bacteria
(b) poisonous substances
(c) viruses that cause infection
(d) substances formed in the blood that arrest or destroy harmful bacteria attacks
Answer: (d)
39. Haemoglobin is
(a) the colouring matter of leaves of plants
(b) colouring matter of blood
(c) a compound present in milk
(d) a compound transmitting signals to the brain
Answer: (b)
40. Sweat contains
(a) pure water
(b) phosphoric acid
(c) calcium phosphate and water
(d) water, salt and waste matter
Answer: (d)
41. The main use of salt in the diet is to
(a) make the taste of food better
(b) produce in small amount the hydrochloric acid that is needed to digest food
(c) ease the process of cooking.
(d) increase the solubility o f food particles in water
Answer: (b)
42. Absolute alcohol is prepared by
(a) Kolbe’s method
(b) Vacuum distillation
(c) Azeotropic distillation
(d) Fractional distillation
Answer: (d)
43. The chromosome number in a bacterium is
(a) 2
(b) 1
(c) 3
(d) 4
Answer: (d)
44. In a plant cell, DNA is found in
(a) chloroplast
(b) mitochondria
(c) nucleus
(d) All of these
Answer: (d)
45. Blood is formed in the human adult by the
(a) heart
(b) spleen
(c) yellow bone marrow
(d) red bone marrow
Answer: (d)
46. Which of the following sugars are components of cane sugar?
(a) Glucose and fructose
(b) Glucose and galactose
(c) Glucose and mannose
(d) Glucose and ribose
Answer: (a)
47. Which of the following compounds found in all living organisms are rich in phosphorus?
(a) Carbohydrates
(b) Nucleic acids
(c) Fats
(d) Proteins
Answer: (b)
48. The largest part of most human diets is made up of
(a) proteins
(b) nucleic acids
(c) carbohydrates
(d) lipids
Answer: (c)
49. The microscope built by
(a) Galileo
(b) Newton
(c) Jan Swammerdam
(d) Robert Hooke
Answer: (d)
50. Which of the following propagates through leaf tip?
(a) Moss
(b) Marchantia
(c) Walking ferm
(d) Sprout leaf plant
Answer: (a)
51. Which of the following is a living fossil?
(a) Spirogyra
(b) Cycas
(c) Saccharomyces
(d) Moss
Answer: (b)
52. Which of the following is not correctly matched ?
(a) Vitamin B2 – Pellagra
(b) Vitamin B1 – Beri-Beri
(c) Vitamin B6 – Loss of appetite
(d) Vitamin B12– Pernicious anaemia
Answer: (b)
53. Hormones are chemically
(a) steroids only
(b) proteins only
(c) biogenetic amines only
(d) proteins, steroids and bio-genetic amines
Answer: (d)
54. The maximum growth rate occurs in
(a) Lag phase
(b) Exponential phase
(c) Senescent phase
(d) Stationary phase
Answer: (b)
55. Maize grain is a/an
(a) Fruit
(b) Ovule
(c) Seed
(d) Embryo
Answer: (c)
56. Guttation occurs through
(a) Periderm
(b) Hydathodes
(c) Stomata
(d) Lenticels
Answer: (b)
57. Match List-I (Endocrine glands) with List-II (Hormones secreted) and select the correct answer using the code given below the lists:
List-I List-II
(a) Gonads. 1. Insulin
(b) pituitary 2. Progesterone
(c) Pancreas 3. Growth hormones
(d) Adrenal 4. Cortisone
(a) (a) – 2; (b) – 3; (c) – 4; (d) – (1)
(b) (a) – 2; (b) – 3; (c) – 1; (d) – 4
(c) (a) – 4; (b) – 3; (c) – 2; (d) – 1
(d) (a) – 3; (b) – 4; (c) – 1; (d) – 2
Answer: (b)
58. Uricotelism is found in
(a) frogs and toads
(b) mammals and birds
(c) fishes and fresh water protozoans
(d) insects, birds and reptiles
Answer: (d)
59. Man in the life-cycle of plasmodium is
(a) primary host
(b) secondary host
(c) intermediate host
(d) None of the above
Answer: (b)
60. External fertilization occurs almost exclusively inhabitats that are
(a) warm
(b) moist
(c) crowded
(d) tropical
Answer: (b)
61. Insect-resistant cotton plants have been genetically engineered by inserting a gene from a/an
(a) Mangrove plant
(b) Bacterium
(c) Insect
(d) Virus
Answer: (b)
62. Which of the following animals is not a chrodate?
(a) Shark
(b) Snake
(c) Starfish
(d) Dolphin
Answer: (c)
63. Which of the following enzymes digest starch?
(a) Renin
(b) Ptyalin
(c) Pepsin
(d) Trypsin
Answer: (b)
64. Tadpole of frog breathes by
(a) lungs
(b) gills
(c) skin and lungs
(d) skin and gills
Answer: (d)
65. The theory of continuity of germ-plasm was pronounced by
(a) Lamarck
(b) Haeckel
(c) Weismann
(d) Mendel
Answer: (c)
66. Cartilaginous fishes do not have
(a) Operculum
(b) Scales
(c) Gill slits
(d) Pelvic fins
Answer: (b)
67. Plant hormone cytokinin stimulates
(a) cell division
(b) cell elongation
(c) cell wall thickening
(d) cell turgidity
Answer: (a)
68. Food poisoning (Botulism) is caused by infection of a species of
(a) Azotobacter
(b) Clostridium
(c) Rhizobium
(d) Lactobacillus
Answer: (b)
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