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1. If the point A (7, k) is the vertex of an isosceles triangle ABC with base BC, where B = (2, 4) and C = (6, 10), then what is 'k'? 1) 6 2) 3 3) 4 4) 5 2. If the distance between the points (na, nb) and (a, b) is 4 times the distance between the points (5a, 5b) and (a, b), then 'n' is equal to- a) 11 or - 13 2) 11 3) 13 4) 17 or - 15 3. ABC is a tringle whose centroid is G. If A is ( - 3, 1) B is (2, b), C is (a, - 4) and G is (1, - 1) then find 'a' and 'b'. 1) a = 4, b = 0 2) a = 0, b = 4 3) a = 3, b = 2 4) a = 5, b = 2 4. An angle is equal to ^3 π radians. What is its measure in degrees? 5 1) 145° 2) 72° 3) 108° 4) 120° 5. The equation of a straight line is 2x-3y+2 = 0. What is its slope?
- ^2 2) - 2 3) 2 4) - ^2 3 3
6. Find the range of values of x, which satisfy the inequality- - ≤ ^1 3x + 1 < ^2 , x ∈ R 5 10 5 1) (x : x ∈ R, 0.3 ≤ x < 9) 2) (x : x ∈ R, - 4 ≤ x < - 2) 3) (x : x ∈ R, 4 ≥ x > - 2) 4) (x : x ∈ R, 5 < x ≤ 8)
Model Papers
7. Read the law given below and identify the same: The mass on any substance liberated from an electrolyte is directly proportional to the quantity of charge passing through the solution. 1) Avogadro's law 2) Faraday's first law of electrolysis 3) Faraday's second law of electrolysis 4) Kirchhaoff's law of electricity 8. The value of Avogadro's constant is- 1) 6.022 × 1023 per mole 2) 58.04 × 10 -^2 per mole 3) 69.51 × 10 -^18 per mole 4) 6.022 × 1014 per mole 9. In an experiment, 295 mg of copper is deposited when a current of 500 mA passes for 30 minutes. Find the electrochemical equivalent of copper- 1) 32.77 a 10-^8 kg/ coulomb 2) 58.4 kg/ coulomb 3) 109.5 × 10 8 kg/ coulomb 4. ^1 kg/ coulomb 32.77 × 10 -^8 10. Which one of the following is the correct unit of angular velocity? 1) m/ minute 2) cm/ sec^2 3) cm/sec 4) radians/ sec 11. The force by which a body is attracted towards the centre of the earth is called- 1) Gravitational force 2) Mass 3) Momentum 4) Impulsive force 12. The maximum displacement of a vibrating body from its mean position is called- 1) Gyration 2) Wavelength 3) Amplitude 4) Impulse 13. The kinetic energy of a body depends upon- 1) Mass, gravity and height 2) Its mass alone 3) Its velocity alone 4) Both mass and velocity 14. A ball weighing 25 grams is thrown vertically into the air. It takes 15 seconds to reach its highest point. How much time would it take to reach the ground from its highest point? 1) More data are required for calculation 2) Less than 15 seconds 3) More than 15 seconds 4) 15 seconds
22. Humidity refers to- 1) Both temperature and moisture contents of the air 2) Temperature of the air 3) Moisture content of the air 4) Presure of the air 23. Boyle's law states that- 1) Volume is directly proportional to temperature 2) Pressure is inversely proportional to temperature 3) Pressure is directly proportional to temperature 4) Presure is inversely proportional to valume 24. Purity of milk is confirmed by- 1) Barometer 2) Lactometer 3) Altimeter 4) Hygroscope 25. A stick is dipped in a vessel containing water. It appears bent due to the property of- 1) Reflection 2) Newton's Law of Motion 3) Refraction 4) Buoyancy 26. The temperature on the surface of the sun is about-
1) 8 × 1015 °C 2) 500°C 3) 6000°C 4) 1000°C
27. The planet farthest from the Sun is- 1) Pluto 2) Mercury 3) Jupiter 4) Neptune 28. Which one of the following is measured on the 'RICHTER SCALE'? 1) The speed of a rocket 5 seconds after take off 2) The intensity of thunderstorm 3) The intensity of an earthquake 4) The speed at which a player serves the ball in Lawn Tennis 29. As a train approaches us, the frequency or shrillness of its whistle increases. This phenomenon is explained by- 1) Big Bang Theory 2) Doppler Effect 3) Charles' Law 4) Archimedes Principle
30. The load on a spring per unit deflection is called- 1) Stress 2) Flexbility 3) Stiffness 4) Strain 31. The term acceleration means- 1) Maximum speed of a vehicle 2) Rate of change of time 3) Rate of change of velocity 4) Rate of change of distance 32. A body of mass 10 kg accelerates from rest at the rate of 3 m/sec 2. What distance would the body travel in 10 seconds? 1) 250 metres 2) 100 metres 3) 150 metres 4) 200 metres 33. The efficiency of a heat engine is 40%. If 10,000 joules of heat energy are supplied to it, then the useful work done by the engine would be- 1) 40,000 Joules 2) 10,000 Joules 3) 25,000 Joules 4) 4,000 Joules 34. A gas is allowed to expand at constant temperature from an initial volume of 10 ml to a final volume of 300 ml. At the end of the expansion, the pressure of the gas was found to be 1 atmosphere. What was the initial pressure of the gas? 1) 9 atmosphere 2) 1 atmosphere 3) 3 atmosphere 4) ^1 atmosphere 3 35. There are three non-collinear points. How many circles can be drawn passing through them? 1) Infinite 2) One 3) Two 4) Three 36. What do you understand by the term 'Absolute Pressure'? 1) It is the atmospheric pressure at mean sea level 2) It is the atmospheric pressure expressed in kg/ cm 2 3) It is the pressure equal to the algebraic sum of atmospheric and gauge pres sures 4) It is the pressure as seen on the gauge of a pressure measuring instrument Directions (Qs. 37 to 39): Study the folloiwng number sequence to answer these questions. 5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6 37. How many odd numbers in the above sequence are immediately followed by an odd number? 1) More than 4 2) 2 3) 3 4) 4
- 2 ^ - ^4 47. ^1 1 3 1 4 (^216 ^ )^ ÷^ (^ 27 )^ =?
- ^1 2) ^1 3) ^5 4) ^1 9 6 36 12 Directions (Qs. 48 & 49): Study the information given below to answer these questions: On a playground, Dinesh, Kunal, Nitin, Atul and Prashant are standing as described below facing the North. i. Kunal is 40 metres to the right of Atul ii. Dinesh is 60 metres to the South of Kunal iii. Nitin is 25 metres to the West of Atul iv. Prashant is 100 metres to the North of Dinesh 48. Who is to the North-east of the person who is to the left of Kunal?
- Prashant 2) Dinesh 3) Nitin 4) Atul 49. If a boy walks from Nitin, meets Atul, followed by Kunal, Dinesh and Prashant, then how many metres has he walked if he travelled the straight distance all through?
- 245 metres 2) 155 metres 3) 185 metres 4) 225 metres 50. Roshan is taller than Rahul who is shorter than Sushil. Mirza is taller than Harry but shorter than Rahul. Sushil is shorter than Roshan. Who is the tallest?
- Harry 2) Roshan 3) Sushil 4) Rahul 51. Roshan is taller than Rahul who is shorter than Sushil. Mirza is taller than Harry but shorter than Rahul. Sushil is shorter than Roshan. Who is the shortest?
- Roshan 2) Harry 3) Mirza 4) Rahul 52. Which one of the following causes of environmental pollution cannot be attrib- uted to human beings?
- Uncontrolled growth of human population
- Rapid industrialisation
- Rapid urbanisation
- Volcanic eruptions
53. Which one of the following gases is manly responsible for the GREENHOUSE EFFECT? 1) Sulphur dioxide 2) Carbon mono-oxide 3) Hydrogen sulphide 4) Carbon dioxide 54. Which one of the following is a major constituent of petrol? 1) Pentane (C 5 H 12 ) 2) Octane (C 8 H 18 ) 3) Methane (CH 4 ) 4) Hexane (C 6 H 14 ) 55. Which one of the following is a widely used solid lubricant? 1) Graphite 2) Sodium 3) Lithium 4) Zinc 56. The world TSUNAMI is derived from which of the following languages? 1) Sinhalese 2) Korean 3) Chinese 4) Japanese 57. A major nuclear power plant, located in one of the countries affected by TSUNAMI, escaped damage. Where is it located? 1) Bali in Indonesia 2) Galle in Sri Lanka 3) Phuket in Thailand 4) Kalpakkam in India 58. A major cricket ground was severely damanged by the rescent TSUNAMI. Where is it locted? 1) Candy in Sri Lanka 2) Chittagong in Bangladesh 3) Galle in Sri Lanka 4) Nairobi in Kenya 59. The sound waves in the audible range have frequencies in the range of- 1) 20 Hz to 20,000 Hz 2) 0.5 Hz to 5 Hz 3) 1 Hz to 10 Hz 4) 20,000 hz to 40,000 Hz 60. Which of the following being used for applicationis such as assessing depth of oceans, thickness measurement, determination of the position of icebergs, flaw detection in metals, etc? 1) Ultrasonic waves 2) X-rays 3) Light waves 4) γ-rays 61. The isotopes of an element are characterised by which of the following? 1) Presence of neutrons of unusual size 2) Different number of electrons in the atom 3) Different number of protons in the nucleus 4) Different number of neutrons in the nucleus
68. What is the term AGMARK used for? 1) Grading various agricultural commodities 2) Grading battery toys 3) Grading polyester textiles 4) Grading engine lubricating oils 69. The standard used in India for certifying the quality of Industrial goods is- 1) ISI 2) ISO 3) ITI 4) CEERI 70. An electric heater of 1 kW rating is used to heat water everday for 2 hours. In 10 days, it will consume- 1) 20 kWh 2) 2 kWh 3) 0.2 kWh 4) 200 kWh 71. Ozone is a gas having ...... atoms of Oxgen in its molecules. 1) Four 2) One 3) Two 4) Three 72. A Family consumes 14.5 Kg Of LPG in 29 days. The calorific value of LPG is 55 Kl/ gm. the average energy consumed per day is- 1) 275 kj 2) 27.5 kj 3) 27,500 kj 4) 0.275 kj 73. The chemical formula of natural gas is- 1) C 3 H 8 2) CH 4 3) C 4 H 10 4) C 2 H 6 74. The percentage of carbon in one molecule of carbon dioxide is approximately- 1) 2.73% 2) 72.7% 3) 80% 4) 27.3% 75. The term 'Cracking' in the context of organic molecules is- 1) The process of fractional distillation in the refineries 2) Breaking of a large alkane molecule into smaller hydrocarbon molecules 3) A nuclear reaction where in the nucleus is broken 4) Use of fire crackers to produce heat to initiate certain chemical reactions 76. In a nuclear power station, which one of the following is commonly used as a fuel for producing heat? 1) Coal 2) Helium 3) Heavy Water 4) Uranium- 235 77. Fission of one nucleus releases 3.2 × 10 -^11 Joules energy. The number of fissions required to produce energy at the rate of 10 MW for 10 hours is- 1) 6.5 × 10 50 2) 2.1 × 10 12 3) 1.125 × 1022 4) 1800 78. A stove consumes 1 gram of kerosene in 48 seconds. if the calorific value of kerosene is 48 KJ / gm, then the power of consumption of the stove in kW is- 1) 0.1 2) 1.5 3) 1 4) 0.
79. If acceleration due to gravity is 10 m/ sec 2 , then the potential energy of a body of mass 1 kg kept at a height of 5 metres is- 1) 50 Joules 2) 500 Joules 3) 100 Joules 4) 10 Joules 80. A boat weighing 200 kg floats on water. The weight of water displaced would be- 1) 220 kg 2) 0 kg 3) 180 kg 4) 200 kg 81. An iron spherical ball having an external volume of 10 cu cm is dipped in a beaker containing water of specific gravity 1 gm/ cu cm. The weight of the ball would be reduced by- 1) Colleting more data for making the calculation 2) 0.1 gm 3) 1 gm 4) 10 gm 82. Archimedes Principle is related to- 1) laws of floatation 2) Right-angled triangle 3) Laws of gravity 4) Relation between current and voltage 83. The commonly used washing soda is- 1) Sodium Bicarbonate 2) Sodium Carbonate 3) Sodium Chloride 4) Magnesium Chloride 84. The chemical formula of 'plaster of paris' is-
- 2CaSO 1 4.^ 2 H 2 O^ 2) Ca(OH) 2
- (CaSO 4 ) 2 .H 2 O 4) CaOC l 2
85. A sanitary worker uses a white substanced to clean water tanks. The substance has a strong smell of chlorine. The substance is- 1) Bleaching powder 2) Slaked lime 3) Backing powder 4) Common salt 86. A person bakes a cake. It turns out to be hard and small in size. Which ingredient has he forgotten to add that would have caused the cake to rise and become light? 1) Cooking oil 2) Baking powder 3) Bleaching powder 4) Sugar
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94. When Sodium (Na), Copper (Cu) and Zinc (Zn) are placed in the order of decreasing reactivity, then their order would be- 1) Na > ZN > Cu 2) Na > Cu > Zn 3) Cu > Na > Zn 4) Zn > Na > Cu 95. Which of the following metals is more reactive than Hydrogen?
- Gold 2) Calcium 3) Aluminium 4) Iron
96. Which of the following metals can displace Hydrogen from its compounds like water and acids to form hydrogen gas? 1) Tin 2) Copper 3) Mercury 4) Silver 97. The approximate percentage of salt by weight in sea water is-
- 41% 2) 3.6% 3) 0.1% 4) 10.2%
98. The common salt is iodised to prevent occurence of which of the following diseases in the human body? 1) Diabetes 2) Goitre 3) Beri-beri 4) Night-blindness 99. A wire of a certain length has a resistance of 2.2Ω. If the wire is stretched to twice its original length, then find the new resistence. 1) 8.8Ω 2) 1.1Ω 3) 2.2Ω 4) 4.4Ω 100. In the above circuit, the effective
resitance between the points A and B is-
- 18 Ω 2) 4 Ω^4 3) 6 Ω^1 4) 3 Ω^1 9 3 3 ANSWERS 1-4; 2-4; 3-1; 4-3; 5-1; 6-2; 7-2; 8-1; 9-1; 10-4; 11-1; 12-3; 13-4; 14-4; 15-4; 16-3; 17-3 18-2; 19-4; 20-3; 21-3; 22-3; 23-4; 24-2; 25-3; 26-3; 27-1; 28-3; 29-2; 30-3; 31-3; 32-3; 33-1; 34-3; 35-2; 36-4; 37-1; 38-3; 39-3; 40-1; 41-1; 42-3; 43-4; 44-3; 45-4; 46-3; 47-1; 48-1; 49-4; 50-2; 51-2; 52-4; 53-4; 54-2; 55-1; 56-4; 57-4; 58-3; 59-1; 60-1; 61-4; 62-1; 63-1; 64-1; 65-2; 66-1; 67-1; 68-1; 69-1; 70-1; 71-4; 72-3; 73-2; 74-4; 75-2; 76-4; 77-3; 78-3; 79-1; 80-4; 81-4; 82-1; 83-2; 84-3; 85-4; 86-2; 87-1; 88-4; 89-2; 90-1; 91-2; 92-3; 93-3; 94-1; 95-2; 96-1; 97-2; 98-2; 99-1; 100-3.
A 3 Ω^ B
