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2009 O.U.A.T Question with Answer

Physics

1. One Fermi is equal to

(a) 10⁻¹⁹ m

(b) 10⁻¹² m

(d) 10⁻¹⁸ m

Answer: (c)

2. One Angstrom is equal to

(a) 10⁻¹⁰ m

(b) 10⁻⁹ m

(d) 10⁻⁶ m

Answer: (a)

3. Velocity of light is

(a) 3 × 10⁸ ms⁻¹

(b) 3 × 10⁻⁸ ms⁻¹

(d) 3 × 10¹² ms⁻¹

Answer: (a)

4. Which of the following is not a unit of length ?

(a) Angstrom

(b) Light year

(d) Metre

Answer: (c)

5. Motion of gas molecules in a room is a case of

(a) one dimension

(b) two dimensions

(d) four dimensions

Answer: (c)

6. An insect crawling on the floor of a room is case of

(a) one dimension

(b) two dimensions

(d) four dimensions

Answer: (b)

7. A body covered a distance of 5 metre along a semicircular path. The ratio of distance to displacement is

(a) 11 : 7

(b) 12 : 5

(d) 7 : 5

Answer: (a)

8. The area of acceleration time curve gives

(a) displacement of the body

(b) velocity

(d) rate of change of acceleration

Answer: (c)

9. Time is a scalar because

(a) it has no magnitude

(b) it has no direction

(d) it has no magnitude as well as direction

Answer: (b)

10. Identify the vector quantity

(a) Time

(b) Current density

(d) Electric current

Answer: (b)

11. Which of the following is a vector quantity?

(a) Infinitesimally small rotation

(b) Current

(d) Work

Answer: (a)

12. The rectangular components of a force of 13 N are

(a) 5 N, 12 N

(b) 10 N, 11 N

(d) 9 N, 12 N

Answer: (a)

13. When the angle between the force and displacement obtuse, the work done is

(a) unity

(b) zero

(d) negative

Answer: (d)

14. Work is measured in

(a) newton

(b) newton – cm

(d) watt

Answer: (c)

15. Kinetic energy is the energy possessed by a body because of

(a) Motion

(b) position

(d) Gravity

Answer: (a)

16. Kinetic energy is measured in

(a) joules

(b) newton

(d) dyne

Answer: (a)

17. The motion of our earth is a case of

(a) translator motion

(b) rotator motion

(d) oscillatory

Answer: (c)

18. A cracker explodes in air, the path followed by the C.M. after explosion is

(a) parabolic

(b) hyperbola

(d) straight

Answer: (a)

19. The equivalent of torque in linear motion is

(a) momentum

(b) impulse

(d) force

Answer: (d)

20. Torque depends upon

(a) only force

(b) only the point of application of force

(d) None of the statements is correct

Answer: (d)

21. The value of Gravitational Constant was first of all determined in the laboratory by

(a) Newton

(b) Boys

(d) Cavendish

Answer: (c)

22. On the surface of the earth, the value of g is maximum at

(a) the equator

(b) the poles

(d) 60° latitude

Answer: (b)

23. The minimum velocity projection to go out from earth’s gravitational pull is called

(a) orbital velocity

(b) escape velocity

(d) uniform velocity

Answer: (b)

24. The orbital speed of mercury planet is

(a) greater than that of earth

(b) less than that of earth

(d) less than that of pluto

Answer: (a)

25. Who said that the motion along a horizontal plane is perpetual?

(a) Rutherford

(b) Bohr

(d) Aristotle

Answer: (c)

26. Newton’s second law relates force and

(a) velocity

(b) density

(d) Acceleration

Answer: (d)

27. One kilogram force is equal to

(a) 9.8 N

(b) 980 N

(d) 10⁵ dynes

Answer: (a)

28. Rocket works on the principle of conservation of

(a) momentum

(b) mass

(d) angular momentum

Answer: (a)

29. Pascal is the unit of

(a) force

(b) momentum

(d) pressure

Answer: (d)

30. The atmospheric pressure is about

(a) 10⁷ Nm⁻²

(b) 10⁵ Nm⁻²

(d) 10⁹ Nm⁻²

Answer: (b)

31. Heat is

(a) orderly motion

(b) degree of hotness

(d) degree of coldness

Answer: (c)

32. The unit of modulus of elasticity is

(a) dyne/cm

(b) dyne/cm²

(d) dynes

Answer: (b)

33. The temperature of a body on Rankine scale is 510°. The temperature of the body on Celsius will be

(a) 20°

(b) 30°

(d) 10°

Answer: (d)

34. The common temperature for Celsius and Kelvin scale is

(a) −100°

(b) −273°

(d) No common temperature

Answer: (d)

35. Very low temperatures are measured by

(a) gas thermometers

(b) pyrometers

(d) vapour pressure thermometers

Answer: (c)

36. The triple point temperature in the case of water is

(a) 273.15°C

(b) 273.15 K

(d) 273.16 K

Answer: (d)

37. Frequency is measured in

(a) cycles

(b) cycles per second

(d) meter per second

Answer: (b)

38. The heart beat of a person is 90 per minute. The frequency is

(a) 90 Hz

(b) 60 Hz

(d) 1.5 Hz

Answer: (d)

39. Fourier was primarily a

(a) Mathematician

(b) Astronomer

(d) Geologist

Answer: (a)

40. A spring is replaced by another spring of stiffer material. Its time period will

(a) remain same

(b) increase

(d) fluctuate

Answer: (b)

41. Sound is

(a) an electromagnetic wave

(b) a transverse wave

(d) not a wave

Answer: (a)

42. The formula for the speed of sound waves was first obtained by

(a) Galileo

(b) Newton

(d) Huygen

Answer: (b)

43. In the case of sound waves the pressure is

(a) more at the condensation

(b) more at the rarefaction

(d) zero

Answer: (a)

44. In which medium will the speed of sound be maximum ?

(a) Air

(b) Hydrogen

(d) Steel

Answer: (d)

45. The positive and negative names of electricity were given by

(a) Faraday

(b) Lenz

(d) Galileo

Answer: (a)

46. The charge on the electron is

(a) 1.6 × 10⁻¹⁶ C

(b) 1.6 × 10⁻¹⁷ C

(d) 1.6 × 10⁻¹⁹ C

Answer: (d)

47. A proton is composed of which of the following quarks?

(a) 1U + 1d

(b) 2U + 2d

(d) 2U + 1d

Answer: (d)

48. The dielectric constant K of an insulator can be

(a) 0.4

(b) Zero

(d) 6

Answer: (b)

49. The e.m.f. of a Leclanche cell is of the order of

(a) 1.1 V

(b) 1.08 V

(d) 1.12 V

Answer: (c)

50. The internal resistance of a secondary cell is

(a) very low

(b) very high

(d) more than that of primary cell

Answer: (d)

51. Which of the following cells gives fairly steady current ?

(a) Voltaic cell

(b) Daniel cell

(d) Fuel cell

Answer: (b)

52. The capacity o f a cell is expressed in

(a) Ah

(b) farad

(d) Vh

Answer: (a)

53. One kilowatt hour is equal to

(a) 3.6 × 10² J

(b) 3.6 × 10⁴ J

(d) 3.6 × 10⁷ J

Answer: (c)

54. Standard resistance coils are made of

(a) silver

(b) gold

(d) manganin

Answer: (d)

55. Nichrome is

(a) a metal

(b) non-metal

(d) alloy

Answer: (d)

56. Fuse wire is made of

(a) constantan

(b) Cu

(d) tungsten

Answer: (c)

57. The magnetic field is measured in

(a) newton

(b) faraday

(d) tesla

Answer: (d)

58. One tesla is defined as

(a) weber-m

(b) weber m⁻¹

(d) weber m⁻²

Answer: (d)

59. A charged particle enters at 30° to the magnetic field. Its path becomes

(a) circular

(b) helical

(d) straight line

Answer: (b)

60. Pole strength is measured in

(a) Am⁻¹

(b) Am⁻²

(d) Am²

Answer: (c)

61. Susceptibility has the units of

(a) tesla

(b) Am²

(d) No units

Answer: (d)

62. Magnetic moment is a

(a) vector

(b) scalar

(d) unit

Answer: (a)

63. The laws of electromagnetic induction are the contribution of

(a) Faraday

(b) Maxwell

(d) Hall

Answer: (a)

64. Eddy currents are also known as

(a) Focault currents

(b) Faraday currents

(d) Franklin currents

Answer: (a)

65. The frequency of a.c. used in India is

(a) 50 Hz

(b) 50 KHz

(d) 60 Hz

Answer: (a)

66. The output of a dynamo using a split ring commutator is

(a) D.C.

(b) A.C.

(d) half-wave rectified D.C.

Answer: (a)

Chemistry

1. Rutheford’s scattering experiment is related to the size of the

(a) nucleus

(b) atom

(d) neutron

Answer: (a)

2. Electromagnetic radiation with maximum wave-length is

(a) ultraviolet

(b) radiowave

(d) infrared

Answer: (b)

3. The heaviest particle is

(a) α

(b) electron

(d) neutron

Answer: (a)

4. Which of the following elements occur free in nature?

(a) Nitrogen

(b) Phosphorus

(d) Antimony

Answer: (a)

5. The number of electrons in Al³⁺ is

(a) 13

(b) 16

(d) 9

Answer: (c)

6. AP- orbital can accommodate

(a) 4 electrons

(b) 6 electrons

(d) 2 electrons with opposite spins

Answer: (d)

7. Which of the following does (do) not consist of particles of matter?

(a) Alpha rays

(b) Beta rays

(d) None of these

Answer: (c)

8. Isotone of ₃₂Ge⁷⁶ is (are)

(a) ₃₂Ge⁷⁷

(b) ₃₃As⁷⁷

(d) None of these

Answer: (b)

9. Which of the following species has a trigonal planar shape ?

(a)

(b)

(c)

(d)

Answer: (b)

10. Which of the following is not an electrophile ?

(a) NH₃

(b) BF₃

(d) Hg₂⁺

Answer: (a)

11. Which of the following is not a nulceophile?

(a) OH⁻

(b) NH₃

(d) HSO₃⁻

Answer: (c)

12. In CH₃CH₂OH, the bond that undergoes heterolytic cleavage most readily is

(a) C−C

(b) C−O

(d) O−H

Answer: (d)

13. Ammonical silver nitrate reacts with

(a) Ethyne

(b) Ethylene

(d) None of the above

Answer: (a)

14. Acetylene is

(a) red coloured gas

(b) useful in polymer industry

(d) None of these

Answer: (b)

15. Benzene can undergo

(a) substitution

(b) decarboxylation

(d) None of these

Answer: (a)

16. Amongst the following the compound that is nitrated with difficulty is

(a) Benzene

(b) Nitrobenzene

(d) Phenol

Answer: (b)

17. Which of the following decolourizes alkaline KMnO₄?

(a) C₈H₃

(b) C₃H₄

(d) CCl₄

Answer: (b)

18. Nuclides having the same atomic and mass numbers are known as

(a) isomers

(b) isotopes

(d) isobars

Answer: (a)

19. Which of the following nuclei is unstable?

(a) ₅B¹⁰

(b) ₄Be¹⁰

(d) ₈O¹⁶

Answer: (b)

20. The larges stable nucleus is

(a) U-238

(b) U-235

(d) Bi-209

Answer: (b)

21. The rate of reaction of substances is proportional to their

(a) stability

(b) molecular weight

(d) active mass

Answer: (d)

22. In a reversible reaction both side rates of reactions are

(a) same

(b) different

(d) not definite

Answer: (a)

23. The number of gram molecules of a substance present in unit volume is termed as

(a) activity

(b) normal solution

(d) active mass

Answer: (d)

24. The law of mass action was enunciated by

(a) Guldberg and Waage

(b) Bodenstein

(d) Graham

Answer: (a)

25. In reversible reaction both side rates of a reaction are

(a) same

(b) different

(d) reactant rates less

Answer: (a)

26. The rate of reaction does not depend upon

(a) pressure

(b) temperature

(d) catalyst

Answer: (d)

27. The rate constant of a reaction depends on

(a) temperature

(b) mass

(d) time

Answer: (a)

28. In which of the following cases, does the reaction go farthest to completion?

(a) K = 10²

(b) K = 10⁻²

(d) K = 1

Answer: (a)

29. The temperature coefficient of most of the reactions lies between

(a) 1 and 3

(b) 2 and 3

(d) 2 and 4

Answer: (b)

30. The minimum energy necessary to permit a reaction is

(a) internal energy

(b) threshold energy

(d) free energy

Answer: (b)

31. In the hydrogenation of oils the catalyst used is

(a) iron

(b) platinum

(d) molybdenum

Answer: (c)

32. Theory of ionization was given by

(a) Rutherford

(b) Faraday

(d) Arrhenius

Answer: (d)

33. Molten sodium chloride conducts electricity due to the presence of

(a) free electrons

(b) free ions

(d) atoms of sodium and chlorine

Answer: (b)

34. 1 litre of water contains 10⁻⁷ moles of H⁺ .Degree of ionization of water is

(a) 1.8 × 10⁻⁷

(b) 1 × 10⁻⁹

(d) 3.6 × 10⁻⁹

Answer: (a)

35. The pH of an aqueous solution is 4.0. Its pOH will be

(a) 4.0

(b) 6.0

(d) 10.0

Answer: (d)

36. Which one of the following has highest pH ?

(a) Distilled water

(b) 1 M NH₃

(d) water saturated with chlorine

Answer: (c)

37. The pH of distilled water is

(a) 0.0

(b) 14

(d) 9

Answer: (c)

38. The pH of pure water at 25℃ is close to

(a) 0.0

(b) 14.0

(d) 9.0

Answer: (c)

39. An electrolyte is one

(a) which conducts electric current

(b) which is capable of ionization by passing electric current

(d) None of the above

Answer: (c)

40. Conductivity of a solution is directly proportional to

(a) dilution

(b) number of ions

(d) volume of the solution

Answer: (b)

41. The one that is a good conductor of electricity in the following list of solids is

(a) sodium chloride

(b) graphite

(d) sodium

Answer: (b)

42. The electrolytic conductance is a direct measure of

(a) resistance

(b) potential

(d) dissociation

Answer: (d)

43. Electrolysis of molten NaCl leads to the formation of

(a) sodium and hydrogen

(b) sodium and oxygen

(d) sodium and chlorine

Answer: (d)

44. On the electrolysis of aqueous solution of sodium sulphate, on cathode we get

(a) Na

(b) Hz

(d) SO₃

Answer: (b)

45. Law of electrolysis was given by

(a) Lamark

(b) Ostwald

(d) Arrhenius

Answer: (c)

46. Phosphorus pentachloride reacts with

(a) klater

(b) ethers

(d) None of these

Answer: (b)

47. Phenol is

(a) a base weaker than ammonia

(b) an acid stronger than carbonic acid

(d) a neutral compound

Answer: (c)

48. Hydrogen bonding is possible in

(a) ethers

(b) hydrocarbons

(d) None of these

Answer: (c)

49. Which of the following compounds can’t be used as acetylating agent?

(a) Acetyl Chloride

(b) Acetic anhydride

(d) None of these

Answer: (c)

50. Which of the following compounds will give a yellow precipitate with iodine and alkali?

(a) Acetophenone

(b) Methyl acetate

(d) None of these

Answer: (a)

51. Acetamide reacts with NaOBr in alkaline medium to form

(a) NH₃

(b) CH₃NH₂

(d) CH₃CH₂NH₂

Answer: (b)

52. On strong heating ammonium acetate gives

(a) acetamide

(b) methyl cyanide

(d) formamide

Answer: (a)

53. How many primary amines are possible for the formula C₄H₁₁N?

(a) 1

(b) 2

(d) 4

Answer: (d)

54. Amongst the following, the most basic compound is

(a) Benzylamine

(b) Aniline

(d) P-Nitroaniline

Answer: (a)

55. 5 grams each of the following gases at 87℃ and 750 mm pressure are taken. Which of them will have the least volume?

(a) HF

(b) HCl

(d) HI

Answer: (d)

56. The largest number of molecules is in

(a) 54 gm of N₂O₅

(b) 28 gm of CO

(d) 46 gm of C₁₂H₅OH

Answer: (c)

57. The value of R in calorie/degree/mole is

(a) 0.0831

(b) 8.31

(d) 1.987

Answer: (d)

58. The vapour density of a gas is 11.2. The volume occupied by 11.2 gm of the gas at N.T.P. is

(a) 1 litre

(b) 11.2 litre

(d) 44.8 litre

Answer: (b)

59. The rates of diffusion of SO₂ and O₂ (S = 32, O = 16) are in the ratio

(a) 1 : 1√2

(b) 1 : 32

(d) 1 : 4

Answer: (a)

60. In solids the constituent particles may be

(a) Atoms

(b) ions

(d) Either of the above three

Answer: (d)

61. In square close packing pattern in one layer, the available space filled by the spheres is

(a) 40%

(b) 50%

(d) 60%

Answer: (b)

62. The available space filled in hexagonal close packing pattern in one layer is

(a) 40%

(b) 2.4%

(d) 70%

Answer: (c)

63. Which of the following does not adopt hcp structure?

(a) Be

(b) Mg

(d) Mo

Answer: (c)

64. Which of the following is the smallest cation?

(a) Na⁺

(b) Mg²⁺

(d) Al³⁺

Answer: (d)

65. Which of the following element occurs in free state?

(a) C

(b) Si

(d) Sn

Answer: (b)

66. The ability of a substance to assume two or more crystalline structure is called

(a) isomerism

(b) polymorphism

(d) amorphism

Answer: (b)

Biology

1. Palaeontology is the study of

(a) Bones

(b) Fossils

(d) Birds

Answer: (b)

2. Which of the following deals with the plants an environmental relationship?

(a) Ecology

(b) Phytogeography

(d) Palaeobotany

Answer: (a)

3. Study of disease of different plants is

(a) Pathology

(b) Plant physiology

(d) Phycology

Answer: (a)

4. The science of vegetable culture is called as

(a) Floriculture

(b) Agriculture

(d) Horticulture

Answer: (c)

5. Pedology is the science of

(a) Disease

(b) Pollution

(d) Rocks

Answer: (c)

6. The basic unit of classification is

(a) Genes

(b) Species

(d) Order

Answer: (b)

7. Who is the father of taxonomy ?

(a) Engler

(b) Aristotle

(d) Eichler

Answer: (c)

8. Which spreads the cy&ts of Entamoeba histolytica

(a) Mosquito

(b) Bed bug

(d) House fly

Answer: (d)

9. Shuffner’s granules are found in malaria patient in the cells of

(a) liver

(b) red blood cells

(d) gametocytes of plasmodium

Answer: (b)

10. Plasmodium is

(a) Monogenetic

(b) Digenetic

(d) None of the above

Answer: (a)

11. Regulation of water in the body is called

(a) Homoeostasis

(b) Excretion

(d) Osmoregulation

Answer: (d)

12. The tail of tadpole larva, is lost in adult Herdmania due to

(a) Parasitism

(b) Ptedatism

(d) Phagocytosis

Answer: (b)

13. Most characteristic feature of plant’s cell is

(a) chlorophyll present

(b) cell wall present

(d) plastids present

Answer: (d)

14. ATP transport is the function of

(a) Golgi body

(b) Mitochondria

(d) ER

Answer: (b)

15. Mitochondria are activated by

(a) Golgi body

(b) Plasma

(d) ER

Answer: (c)

16. Peroxisomes were discovered by

(a) De Duve

(b) Golgi

(d) Hexley

Answer: (a)

17. The activities of all living cells are controlled by

(a) Chloroplast

(b) Tonoplast

(d) Auxins

Answer: (c)

18. The site of respiration within cell is

(a) Ribosome

(b) Mitochondria

(d) Nucleus

Answer: (b)

19. Animal cell is limited by

(a) Plasma membrane

(b) Cell wall

(d) cell membrane

Answer: (a)

20. Which of the following is described as “Energy currency of the cell”?

(a) DNA

(b) RNA

(d) Vitamins

Answer: (c)

21. The acrosome of human sperm is formed by

(a) Mitochondria

(b) Centrioles

(d) Endoplasmic reticulum

Answer: (c)

22. Crossing over of chromosomes takes place during

(a) Amitosis

(b) Meiosis

(d) None of the above

Answer: (b)

23. Genetic crossing usually takes place during

(a) Mitosis

(b) Meiosis I

(d) Mitosis and Meiosis

Answer: (b)

24. During meiosis, the chromosome number is

(a) halved

(b) unchanged

(d) tripled

Answer: (a)

25. In plant cells, cell plate formation is

(a) Acropetal

(b) Centripetal

(d) Basipetal

Answer: (c)

26. A transformed cell of the body which has lost control over its division is called

(a) Mast cell

(b) Leukocyte

(d) Connective cell

Answer: (c)

27. Viruses which cause cancers are known as

(a) Virion

(b) Virioids

(d) Oncogenic viruses

Answer: (d)

28. The chromosomes are made up of

(a) DNA

(b) DNA + Proteins

(d) RNA + Proteins

Answer: (a)

29. Centromeres are found is

(a) primary constrictions

(b) secondary constrictions

(d) None of these

Answer: (b)

30. A hybrid has

(a) both nuclei of the two fusing cells.

(b) only cytoplasm of two fusing cells.

(d) None of these

Answer: (a)

31. Genes are arranged on

(a) Ribosomes

(b) Centrosomes

(d) Lysosomes

Answer: (c)

32. RNA is found only in

(a) Cytoplasm

(b) Nucleoplasm

(d) Chromosome

Answer: (a)

33. RNA has which of the following sugar ?

(a) Ribose

(b) Hexose

(d) Glucose

Answer: (a)

34. The amino acid proline is coded by

(a) CCU

(b) CCA

(d) All of the above

Answer: (d)

35. Mendel was born at

(a) Heinzendorf

(b) Vienna

(d) Paris

Answer: (b)

36. The A, B, AB and O types of human blood groups were discovered by

(a) Londsteiner

(b) De Vries

(d) Weiner

Answer: (a)

37. AB blood group is an example for

(a) total dominance

(b) partial dominance

(d) None of these

Answer: (c)

38. Antigens are also called

(a) Agglutinogens

(b) Immuno globulins

(d) Both (A) and (B)

Answer: (a)

39. The antigen present in blood group A is

(a) A

(b) B

(d) None of these

Answer: (a)

40. Water is lost from the plant body by

(a) Transpiration

(b) Guttation

(d) None of these

Answer: (c)

41. The rate of transpiration is measured by

(a) Photometer

(b) Hygrometer

(d) Potometer

Answer: (d)

42. Dilution of milk with water involves

(a) osmosis

(b) diffusion

(d) imbibition

Answer: (b)

43. DPD stands for

(a) Diffusion Pressure Deficit

(b) Diffusion Potential Deficit

(d) Daily Photosynthetic Depression

Answer: (a)

44. Diffusion pressure of pure water is

(a) zero

(b) 100 atm

(d) 1236 atm

Answer: (a)

45. A primary carnivore is also called a

(a) Producer

(b) Autotroph

(d) Tertiary consumer

Answer: (c)

46. Chipko movement is associated with

(a) H. N. Bahuguna

(b) S. I. Bahuguna

(d) Kamal Nath

Answer: (b)

47. The national headquarters of NEERI is at

(a) Mumbai

(b) Bengaluru

(d) Chennai

Answer: (c)

48. DDT is a

(a) bio-degradable pollutant

(b) bio-nondegradale pollutant

(d) (a) or (b) depending upon its concentration

Answer: (b)

49. Two wheelers can become environmental hazards mainly because of

(a) their noise

(b) their numbers

(d) their exhaust fumes

Answer: (d)

50. We can find which of these birds only in the jungle?

(a) Bulbul

(b) Crow

(d) Hombill

Answer: (d)

51. In pond ecosystem the food chain begins with

(a) Aquatic animals

(b) Small fishes

(d) Zooplankton

Answer: (c)

52. A food chain starts with

(a) Nitrogen fixation

(b) Decay

(d) Photosynthesis

Answer: (d)

53. The interconnected food chains are called

(a) Food web

(b) Parasitic food chain

(d) Predator food chain

Answer: (a)

54. The theory of panspermia was proposed by

(a) Richter

(b) Aristotle

(d) Oparin

Answer: (d)

55. The theory of biogenesis was proposed by

(a) Aristotle

(b) Francisco Redi

(d) Louis Pasteur

Answer: (d)

56. Theory of chemical evolution was hypothesized by A.I. Oparin in

(a) 1900

(b) 1914

(d) 1984

Answer: (b)

57. Archaeopteryx is a link between

(a) amphibians and fishes

(b) fishes and reptiles

(d) birds and mammals

Answer: (c)

58. Mutation theory was proposed by

(a) Gregor Mendel

(b) Hugo de Vries

(d) H. J. Muller

Answer: (b)

59. The first life on earth was

(a) animals life

(b) plant life

(d) None of these

Answer: (a)

60. Paratonic movements are

(a) Phototropism

(b) Geotropism

(d) All of these

Answer: (d)

61. Which of the following is known as the age of mammals?

(a) Palaeozoic era

(b) Mesozoic era

(d) Precambian era

Answer: (a)

62. Growth in a plant organ involves

(a) Cell division

(b) Cell elongation

(d) Both (a) and (b)

Answer: (d)

63. IAA plays a role in

(a) Phototropism

(b) Cell elongation

(d) Both (A) and (B)

Answer: (d)

64. GA was first obtained in crystalline form by

(a) Yabuta

(b) Sumiki

(d) Sawada

Answer: ()

65. The naturally occurring gaseous hormone is

(a) Ethylene

(b) GA

(d) None of these

Answer: (a)

66. ABA has the ability of influence

(a) Thigmotropism

(b) Thigmonasty

(d) All of these

Answer: (c)

67. Movement of roots towards gravity is in the case of

(a) positive geotropism

(b) negative geotropism

(d) None of these

Answer: (a)

68. The dropping movement of leaves of Mimosa plant when touched is

(a) Nyctinasty

(b) Thigmonasty

(d) Seismonasty

Answer: (b)

Mathematics

1. If a, b, c are in A.P. , b, c, d are in G.P. and c, d, e are in H.P. then

(a) a, c, e are in A.P.

(b) a, c, e are in G.P.

(d) a = d = e

Answer: (b)

2. If are in A.P. then a, b, c are in

(a) A. P.

(b) G.P.

(d) None of these

Answer: (c)

3. If log₁₂ 18 = m, log₂₄ 54 = n, then mn + 5(m – n + 1) = ?

(a) −6

(b) −3

(d) 6

Answer: (d)

4. If ω be a complex cube root of unity, then the value of (a + b) (aω + bω²) (aω² + bω) is

(a) a³ + b³

(b) a³ – b³

(d) 3(a³ + b³)

Answer: (a)

5. If the roots of the equation x² – 2(a + b)x + a(a + 2b + c) = 0 are equal, then

(a) a = b = c

(b) a, b, c are in A.P.

(d) a, b, c are in H.P.

Answer: (c)

6. There are 18 points in a plane. Out of which 5 are collinear. The number of triangles that can be formed by joining the points is

(a) 816

(b) 810

(d) 800

Answer: (c)

7. A candidate has to secure the minimum marks in each of the six subjects to pass in an examination. In how many ways can he fail?

(a) 6²

(b) 2⁶

(d) 2⁶ – 1

Answer: (b)

8. If x is real, then the maximum value of 1 – 2x – x² is

(a) 1

(b) 2

(d) 5

Answer: (b)

9. Log₂ e – log₄ e + log₈ e⁻ …… to ∞ = ?

(a) log 2

(b) e

(d) 1

Answer: (d)

10. If sin x = 3/5, cos y = −12/13, where , then tan (x – y) = ?

(a) 15/64

(b) 16/65

(d) 15/68

Answer: (c)

11. The simplest value of is

(a)

(b)

(c)

(d)

Answer: (d)

12. If in a ∆ ABC, (a + b + c) (b + c – a) = 3 bc, then A =

(a)

(b)

(c)

(d)

Answer: (c)

13. If f(x) = cos²x + sec²x, then

(a) f(x) < 1

(b) f(x) = 1

(d) f(x) ≥ 2

Answer: (d)

14. If then x = ?

(a)

(b)

(c)

(d)

Answer: (a)

15. If the parametric co-ordinates of a point P be [3(cot θ + tan θ), 4(cot θ – tan θ)], θ = parameter, then the locus of P will be

(a) straight line

(b) circle

(d) hyperbola

Answer: (d)

16. If the area of the triangle formed by the points (−1, m), (m – 2, 1), (m – 2, m) be 25/2 sq. units, then m = ?

(a) 2 or –4

(b) 6 or –4

(d) 4 or –2

Answer: (b)

17. The radius of the circle passing through the point (0, 0), (3, 0) and (0, 4) is

(a)

(b)

(c)

(d)

Answer: (a)

18. If the equation of diretrix of the parabola y² – kx + 8 = 0 is x = 1, then the value of k is

(a) 1

(b) 2

(d) 4

Answer: (d)

19. The eccentric angle of a point on the ellipse x² + 3y² = 6 at a distance 2 units from the centre is

(a)

(b)

(c)

(d)

Answer: (b)

20. The eccentricity of the geometric locus represented by the equation 16x² – 9y² = 144 is

(a) 5/2

(b) 3/2

(d) 4/3

Answer: (c)

21. If f(x) = |x| − [x], where [x] is the greatest integer not greater than x, then f(−5) = ?

(a) 0.5

(b) 4.5

(d) 0.7

Answer: (c)

22. If the function when x ≠ 0 is continuous at x = 0, then f(0) = ?

(a) 1

(b) 2/3

(d) 0

Answer: (a)

23.

(a) 0

(b) 2/3

(d) Does not exist

Answer: (d)

24. If f(x) = x – [x], x < 2 and f(x) 3x – 5, x > 2 then

(a) 0

(b) 1

(d) Does not exist

Answer: (b)

25.

(a)

(b)

(c)

(d)

Answer: (c)

26.

(a)

(b)

(c)

(d)

Answer: (c)

27. If then

(a)

(b)

(c)

(d)

Answer: (b)

28. If y = tan⁻¹ x and then p = ?

(a) −1

(b) 1

(d) 2

Answer: (d)

29.

(a) 1/2

(b) 2

(d) √2

Answer: (a)

30.

(a)

(b)

(c)

(d)

Answer: (c)

31.

(a)

(b)

(c)

(d)

Answer: (d)

32. is solution of the differential equation

(a)

(b)

(c)

(d)

Answer: (d)

33. A particle is moving in a straight line such that its distance at any time t is given by , then acceleration is minimum for t = ?

(a) 2

(b) 3

(d) 5

Answer: (a)

34. The point on the curve y² – x, at which the tangent makes an angle 45° with X-axis is

(a) (4, 2)

(b) (1/4, 1/2)

(d) (1, −1)

Answer: (b)

35. The normal to a curve y = f(x) is parallel to X-axis if

(a)

(b)

(c)

(d)

Answer: (b)

36. The area of the parabola y² = 4x bounded by the latus rectum (in sq. units) is

(a) 2/3

(b) 4/3

(d) 16/3

Answer: (b)

37. If the nth term of an AP is P, then the sum of its first (2n – 1) terms is

(a) nP

(b) (n – 1)P

(d) (2n – 1)P

Answer: (d)

38. If x, 2x + 1, 4x + 5, …. are in GP, then its sixth term is

(a) 18

(b) 27

(d) 729

Answer: (b)

39. If log₁₀ x = a and log₁₀₀ y = b then the value of 10^{a +2b – 2}in terms of x, y is

(a)

(b)

(c)

(d)

Answer: (b)

40. If and r₂ = er, then

(a) 1

(b)

(c)

(d) rr₁

Answer: (c)

41. The path of a particle moving in a straight line is given by s = t³ – 6t² + 9t + 4. Its velocity increases for

(a) t > 2

(b) t < 3

(d) t > 3

Answer: (d)

42. The complex numbers z + x + iy which satisfy the equation is

(a) the X-axis

(b) the Y-axis

(d) the circle x² + y² = 25

Answer: (a)

43. If the roots of the equation a(b – c)x² + b(c – a)x + c(a – b) = 0 are equal, the a, b, c are in

(a) AP

(b) GP

(d) None of these

Answer: (c)

44. If the roots of the equation ax² + bx + c = 0 be in the ratio m n, then (m + n)²/mn = ?

(a)

(b)

(c)

(d)

Answer: (d)

45. A polygon has 54 diagonals. Then the number of sides of the polygon is

(a) 9

(b) 12

(d) 18

Answer: (b)

46. A five digit number divisible by 3 is to be formed using the digits 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is

(a) 96

(b) 120

(d) 240

Answer: (b)

47. If U_{n + 1} = 3U_n – 2U_{n – 1}and U₀ = 0, U₁ = 1 then U_n = ?

(a) n + 1

(b) 2ⁿ– 1

(d) 2^{n – 1} + 1

Answer: (d)

48. If (1 – x + x²)ⁿ = a₀ + a₁x + a₂x² + ……+a_2nx²ⁿ, then a₀ + a₁ + a₂ + …… + a_2n = ?

(a) 3ⁿ – 1

(b) 3ⁿ + P

(d) (3ⁿ + 1)/2

Answer: (d)

49. The sum of the infinite series is

(a) log 3

(b)

(d)

Answer: (c)

50. In a third order determinant, if the cofactor of the element in the second row and third column is K times the corresponding minor, then K = ?

(a) 0

(b) 1

(d) cannot be determined

Answer: (c)

51. Among 52 guests 16 drink tea but not coffee and 33 drink tea. The number of guests who drink coffee but not tea is

(a) 17

(b) 36

(d) 34

Answer: (c)

52. If A and B are two events and then P(A^c ∩ B^c) = ?

(a) 3/20

(b) 17/20

(d) 7/20

Answer: (a)

53. The simplest value of cosec 10° − 4 sin 70° is

(a) 0

(b) 1

(d) 4

Answer: (c)

54. If y = a log x + bx² + x has its extreme values at x = −1 and x = 2, then

(a) a = 2, b = −1

(b) a = 2, b = −1/2

(d) a = 1/2, b = −1

Answer: (b)

55. The simplest value of (sin² 24⁰ – sin² 6⁰) (sin² 42⁰ – sin² 12⁰) is

(a) 1

(b) 1/4

(d) 1/64

Answer: (c)

56. The simplest value of is

(a) a/b

(b) 2a/b

(d) 2b/a

Answer: (b)

57. The number of all possible triplets (a₁, a₂, a₃) such that a₁ + a₂cos 2x + a₃ sin² x = 1 is

(a) 0

(b) 1

(d) 3

Answer: (d)

58. The parameteric co-ordinates of a point P is then the locus of P is

(a) circle

(b) an ellipse

(d) a rectangular hyperbola

Answer: (*)

59. A ray of light coming from the point (1, 2) passes through the point (3, 5) after reflexion at the point A on X-axis. The abscissa of the point A is

(a) 9/5

(b) 13/5

(d) 21/5

Answer: (*)

60. If one end of a focal chord of y² = 4ax is (at², 2at) then the length of the focal chord is

(a)

(b)

(c)

(d)

Answer: (d)

61. Eccentricity of a hyperbola of which the coordinates of the foci are (±5, 0) and the length of the latus rectum 9/2 is

(a) 3/2

(b) 4/3

(d) 6/5

Answer: (c)

62. Which of the following function reaches its maximum at x = 0?

(a) y = x⁵ – x³

(b) y = x^1/3

(c)

(d) y = 1 – x²

Answer: ()

63.

(a) 1/2

(b) 1/3

(d) 1

Answer: (b)

64. If is to be continuous at x = 0, then f(0) = ?

(a) 3

(b) 5

(d) 0

Answer: (c)

65. If then f ‘ = 0 ?

(a) 2

(b) 3

(d) 5

Answer: (d)

66. The particular solution of the differential equation (1 + y²)dx + (1 + x²)dy = 0, with y = 1 for x = 0 is

(a) (x + 1) (y + 1) = 2

(b) (x + 1) (y + 1) = 4

(d) xy = 4

Answer: (a)

67. The area bounded by the curve x² = y, the X-axis and the ordinates x = 1 and x = k(>1) is then K = ?

(a) 2

(b) 3/2

(d) 5/2

Answer: (c)

68. The angle that the normal to the parabola x = at², y = 2at at t = 1, makes with the X-axis is

(a) 45°

(b) 90°

(d) 180°

Answer: (c)

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