SECTION III – MATHEMATICS
Max. Marks -35
Direction:-
For every question, four probable answers bearing numbers 1,2,3,4 are given. Only one out of these is correct. You have to choose the correct answer and encircle the number given by its side.
Q20. The square root of 0.0625 is
(1)0.25(2) 0.025(3) 0.0025(4) 2.5
Q21. The value of is
(1) (2) 8 (3) (4) 80
Q22. A metallic cuboid of dimension 9cm x 6cm is melted to form a cube. The side of the cube is
(1) 216cm (2) 36cm (3) 6cm (4) 60cm
Q23. By which smallest number 2187 may be divided so that it becomes a perfect cube.
(1) 2(2) 3(3) 5 (4) 7
Q24. The simplification of is
(1) (2) (3) (4)
Q25. If = 1.732 and = 1.414, the value of is
(1) 0.318(2) (3) 3.146(4)
Q26. The value of 4x2+9y2+12xy is
(1) 0(2) (3) 1(4) 49
Q27. Of a2 + = 7, the value of a + is
(1) (2) 3 (3) +9(4) None of these
Q28. The product of (x+a) and (x+b) is
(1) x2+(a+b)x+ab(2) x2-(a+b)x+ab (3) x2+(a-b)x+ab (4) x2+(a+b)x-ab
Q29. The factorization of x2-9x+20 is
(1) (x+5)(x+4)(2) (x+5)(x-4) (3) (x-5)(x+4) (4) (x-5)(x-4)
Q30. (x2-1) equals
(1) (x2+1)(x-1)(2) (x2-1)(x+1) (3) (x-1)(x2+x+1) (4) (x+1)(x2-x+1)
Q31. If a+b+c=0 then a3+b3+c3 equals
(1) 3abc(2) 2abc (3) (a2+b2+c2)abc (4) a2+b2+c2+ab-bc-ca
Q32. The value of x, which is the solution of the equation 5x-(3x+5)=3x-10 is
(1) -5(2) 5 (3) 10 (4) 15
Q33. The greatest of three consecutive odd numbers, whose sum is 99, is
(1) 31(2) 32 (3) 33 (4)35
34. In fig AB, EF and CD are parallel to each other, if = 30° and = 40° then equals
(1) 70°(2) 40°(3) 170°(4) 180°
A B
E F
C D
35. In fig 2 lines l and m are parallel and n is a transversal. n
The value of l
(1) 770(2) 1030(3) 29°(4) 28°
m
36. Two lines in the same plane, which are perpendicular to a given line in the plane, are
(1) Perpendicular to each other(2) Parallel to each other
(3) Identical to each other(4) None of these
37. In fig PM OB and PB OA If then x equals
(1) 40 (2) 90 (3) 100 (4) 140
38.In fig ABCD is a trapezium in which AB || DC if
then equals
(1) 100 (2) 130 (3) 150 (4)80
39. In fig ABCD is a rhombus in which diagonal BD is equal to side AD equals
(1) 30 (2) 45 (3) 60 (4) 90
40. In fig OM to the chord AB of the circle with centre O. A B
If OA = 5cm and AB= 6cm, then OM equals
(1) 3cm(2) 4cm(3) 5cm(4) 6cm
41. In fig AOB is a diameterof the circle with centre O, BD is a chord
and OB and BD are joined. If then equals
(1) 40 (2) 30 (3) 20 (4) 70
42. The greatest chord of a circle is called its
(1) Radius(2) Tangent (3) Diameter (4) Circumference
43.In fig ABCD is a cyclic quadrilateral equals
(1) 60°(2) 95°(3) 105°(4) 120°
44. Angle inscribed in the minor arc of a circle is
(1) an acute angle(2) a right angle
(3) an obtuse angle (4) a straight line
45. The area of an equilateral triangle with wide 8cm is
(1) 16cm2 (2) 8cm2 (3) 12cm2(4)14cm2
46. The diagonals of a rhombus are 4cm and 6cm, its area will be
(1) 24cm2(2) 3cm2(3)12cm2(4)18cm2
47. The area of a triangle is 40cm2 if its base has length of 10cm the altitude of triangle is
(1) 80cm(2)8cm(3)12cm(4)14cm
48. The diameter of a circle A is double of another circle B. The area of a circle A is how many times area of the circle B (1) 2 (2)4 (3) 16 (4)20
49. The circumference of a circle of area 154sq.m is
(1)44m(2) 22m(3)88m(4)132m
50. The surface area of a cube is 1536 cm2, its volume is
(1) 256cm3(2)16cm3(3)4096cm3(4) 48cm3
51. The ratio of the volumes of a cone and a cylinder of equal base radius and same height is
(1)1:2(2) 1:3(3)1:6(4)1:9
52. The number of boys that can be seated in a room of dimension 12mx9mx4m, if each boy is allowed 6cm3 space are (1) 92 (2) 72 (3) 36 (4)32
53. If the radius of a cylinder is doubled, its volume becomes
(1) twice(2) four times(3) 8 times (4) 16 times
54. If the radius of a sphere A is one-half the radius of a sphere B, then the ratio of volume of sphere A to that sphere B is (1) 1:2 (2) 1:4 (3)1:8 (4) 1:16
SECTION IV – GENERAL SCIENCE
Max. Marks:35
DIRECTIONS:-
For every question, four probable answers bearing number 1,2,3,4are given. Only one out ofthese is correct. You have to choose the correct answer and encircle the number given by its side.
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Q 55. A pure substance made up of acombination of two or more elements in adefinite proportion is called
(1) Mixture(2) Petrol(3) Colloidal solution(4) Compound
Q 56. Which one of the following is not an element?
(1) Calcium(2) Bronze(3) Hydrogen(4)Chlorine
Q 57. The numberof atoms present is one molecularelement is knownas
(1) Valency (2)Atomic N'umber(3)Molecular Mass (4) Atomicity
Q 58. Which one of the following fuels had thehighest heat value
(1) Ethanol(2) Petrol(3) Diesel(4) Kerosene
Q 59. Graphite CAN NOT be used
(1) As lubricant
(2) ln making pencils
(3) As a cutting tool
(4) ln making electrodes
Q 60. The main constituent of liquid petroleum Gas(LPG) is
(1) Methane(2) Ethane(3) Propane(4) Butane
Q61. The fraction of petroleum obtained duringfractional distillation between the boi li ng pointrange 180' C to 260' C is
(1) Fuel oil(2) Kerosene(3)Diesel(4) Petrol
Q 62. Which one of the following alloys has copperand tin as constituent metals
(1) Brass(2) Bronze(3) Steel(4) Solder
Q 63. The most abundant element in the earth crust is
(1) Oxygen(2) Silicon(3) Aluminium(4) Iron
Q 64. Extraction of metal from iis ore generallyinvolves following steps.
i))Refining ii)Roastingiii)Concentration iv)Smelting
(1)(i) (ii) (iii) (iv) (2) (iii) (ii) (i) (iv)(3) (iii) (ii) (iv) (i) (4) (iii) (iv) (ii)(i)
Q 65. The element having dull luster, yellow colour,soft, easily breakable on hammering and
insulator of electricity is
(1) Sodium(2) Sulphur(3)Phosphorous(4) Pottasium
Q 66. Out of the following the least reactive metal is
(1) Aluminium(2)Copper(3) Iron(4) Silver
Q 67. Which one of the following is not a basicingredient for making cement
(1) Calciumcarbonate (2) Gypsum(3) Alumina (4)lron oxide
Q 68. Which one of the following metal salt impart apurple blue colour to the glass?
(1) Cobalt salts (2) Ferrous oxide(3) Chromium salt (4) Calcium oxide
Q 69. Which one of the following is bio degradablesubstance
(1) Soap(2) Detergent(3)Nylon(4)Polyester
Q 70. Which of the following is not a polymer?
(1)Cellulose (2) PVC(3)Glass (4)Rayon
Q71. A magnet is rolled in copper fillings. Thefillings will
(1) get attracted to the north pole of the magnet
(2) gei attracted to the south pole of the magnet
(3) get attracted equalty to both poles of themagnet
(4) not be attracted at all
72. Which statement is not true for magnet?
(1) a magnet has two pole pieces
(2) a freely suspended magnet always rests in geographical north-south direction
(3) If a magnet is broke into several pieces,each piece behaves like a complete magnet
(4) Like poles attract each-other
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73. A bar magnet is cut into two pieces of different sizes then
(1) Both pieces will behave as a complete magnet
(2) Smaller piece will lose its magnetism while the larges piece will behave as a complete magnet
(3) Larger piece lose its magnetism while the smaller piece will behave as a complete magnet.
(4) The smaller piece will have only South Pole and the larger piece only North Pole.
74. In which of the following positions, a person will exert least pressure on the ground
(1) lying flat(2) sitting(3) standing with both legs
(4) standing on one leg
75. The SI unit of electric current is
(1) Coulomb(2) ampere(3) volt(4) watt
76. In the diagram given below the light rays AO, BO, CO, and DO are incident on one surface of a glass slab at the point O. Which of these rays travel along OPE?
(1) AO (2) BO (3) CO(4) DO
77. The image of an object formed by eye on retina is
(1) real and erect (2) real and inverted (3) virtual and erect (4) virtual and inverted
78. Which of the following Chromosome combination indicate klinefelter syndrome?
(1) xxy(2) xyy(3) xy(4) x
79. Which of the following does not replenish or enrich the soil with nutrients?
(1) adding manure(2) adding fertilizer
(3) irrigation (4) crop rotation
80. A scooter driver wants to see the traffic behind him. He should use
(1) plane mirror(2) concave mirror
(3) convex mirror(4) none of above
81. Water enters the plant by
(1) photosynthesis(2) repiration(3) transpiration(4) osmosis
82. The dimensions of a hall are 10m x 10m x 5m. The mass of one litre of air on the ground level is 1.3g the mass of air inside the room is
(1) 1300kg(2) 650kg(3) 130kg(4) 65kg
83. Suppose the force is measured in newtons and length is measured inmeters, then the unit of pressure will be
(1) Newton-meter(2) Newton-meter(3) Newton/meter(4) Newton/meter
84. The frequency of alternating current (A.C) flowing through the electrical appliances in our country is
(1) 30 cycles per second
(2) 59 cycles per second
(3) 60 cycles per second
(4) 100cycles per second
85. The heating element in an electric bulb is
(1) nickel (2) chromium
(3) nichrome(4) tungsten
86. On a normal sunny day the temperature attained in solar cooker is around
(1) 50 C (2) 75C
(3) 100C(4) 150C
87. A structure or organ which originally performed a useful function but through evolution has become reduced and functionless is
(1) vestigial organ(2) homologous organ
(3) analogous organ(4) none of above
88. Which of the following are homologous organs?
(1) wings of butterfly, wing of bird, wings of bat
(2) tail of scorpion, tail of bird, tail of monkey
(3) paddle of whale, front leg of horse, arm of man
(4) sting of honey bee, sting of scorpion, sting of snail
89. Which of the following is not a renewable source of energy?
(1) biogas(2) wind
(3) flowing water(4) fossil fuel
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