Rough Work 1. 2. 3. 4. The earth’s water circulatory system is known as a. Water Cycle b. Precipitation Cycle c. Hydrological Cycle d. none of these. ‘‘London smog’’ was primarily caused by a. burning of coal b. burning of oil c. eruption of a volcano d. none of these. Hairs of human nose can remove all particles of size greater than a. 1 mm b. 1micron c. 10 micron d. 100 micron The anaerobic method of mechanical composting, as practices in India, is called the 5. a. Indore method b. Mangalore method c. Bangalore method d. none of these From ecological consideration, the minimum level of dissolved oxygen necessary in rivers and streams 6. 7. 8. a. 1 mg/Lt b. 2 mg/Lt c. 4 mg/Lt d. 8 mg/Lt Non-living factors of eco-systems are a. Abiotic factor b. Producers c. Biotic factor d. Decomposers The Wild Life (Protection) Act was enacted in the year a. 1882 b. 1872 c. 1972 d. 1982 Which of these is not recyclable material? a. Glass b. Metal c. Paper d. Food Waste 1 Rough Work 9. Which of the following is a tool for measuring the impact of the project on environment? 10. 11. 12. 13. 14. 15. 16. a. Environment Impact Assessment b. Environment graph c. Environment Management d. Environment Protection Law DDT is a a. biodegradable pollutant b. non-biodegradable pollutant c. biochemical pollutant d. non pollutant Example of primary pollutant is a. CO b. O2 c. CO2 d. None of these BOD determines the health of a. air b. water c. soil d. solid waste Electrostatic Precipitator is related to a. air Pollution b. water palliation c. noise pollution d. none of these pH value of potable water is a. 6.5 b. 10 c. 11 d. 2.5 Swage is a. waste water b. drinking water c. treated water d. none of these The inverse of a skew symmetric matrix (if it exists) is a. A symmetric Matrix b. a skew-symmetric Matrix c. asymmetric Matrix d. none of these 2 Rough Work 17 The variance of first twenty natural number is a. c. 18. 19. 133 b. 4 133 d. 2 1 𝑑𝑦 y = 𝑎𝑒 −𝑥 + b is a solution of 𝑑𝑥 = 𝑦 𝑥2 379 12 399 4 ; when a. a = 1, b = 0 b. a = 3, b = 0 c. a = 1, b = 1 d. a = 2, b = 2 The area of a parallelogram having diagonals 𝑎⃗ = 3𝑖̂ + 𝑗̂ - 2𝑘̂ and 𝑏⃗⃗ = 𝑖̂ - 3𝑗̂ + 4𝑘̂ is, 20. a. 5√3 b. 2√3 c. 4√3 d. 32√2 The arithmetic mean of the squares of the first n natural numbers is a. c. 21. 𝑛+1 b. 6 𝑛2 −1 (𝑛+1)(2𝑛+1) 6 d. none of these 6 Simpson’s 1⁄3 rd Rule can be applied if the number of equal sub-items of the internal of integration is 22. a. odd b. even c. any d. none 1 𝜕𝑢 If u(x, y, z) = (𝑥 2 + 𝑦 2 + 𝑧 2 )− 2 ; then the value 𝜕𝑧 at (1,0,1) is, a. √2 c. 1 √8 b. 1 √3 d. 0 3 Rough Work 23. P.I. of the differential equation (𝐷2 - 3D + 2)y = 𝑒 3𝑥 is 1 a. 2 𝑒 3𝑥 c. 24. 25. 1 10 1 b. 20 𝑒 −3𝑥 d. 𝑒 3𝑥 𝑒 3𝑥 2006 The value of the determinant |2009 2012 2007 2010 2013 2008 2011| is 2014 a. 0 b. 1 c. -1 d. None of these. 2 0 If A = [0 2 0 0 0 1 0] and B = [0 2 0 2 3 1 3] then the determinant of AB has the 0 2 value 26. a. 4 b. 8 c. 16 d. 32 Which of the following vectors are perpendicular to each other? ⃗⃗ = 12𝑖̂ + 8𝑗 ̂ +16𝑘̂, 𝑅⃗⃗ = 2𝑖̂ - 11𝑗̂ + 4𝑘̂ 𝑃⃗⃗ = 3𝑖̂ + 2𝑗̂ + 4𝑘̂ , 𝑄 27. ⃗⃗ a. 𝑃⃗⃗ and 𝑄 ⃗⃗ and 𝑅⃗⃗ b. 𝑄 c. 𝑅⃗⃗ and 𝑃⃗⃗ d. both (a) and (b). One card is selected at random from 50 cards numbered 1 to 50. The probability that the number on the card is a prime number is 1 3 a. 5 b. 10 1 c. 10 28. 2 d. 5 The standard deviation of the numbers 1,2,3,4,5,6,7,8,9,10 is 1 a. 2 √33 101 c. √ 12 b. 3 98 d. √12 4 Rough Work 29. From the following data x: 2 4 6 8 f(x): 4 7 11 18 Estimated value of f(3) is 30. 31. a. 5.3 b. 5.4 c. 5.5 d. 5.6 The order of convergence in the Newton – Raphson Method is a. 2 b. 3 c. 0 d. None of these Three non-parallel forces can be in equilibrium only when they lie in one plane, intersecting at one point and their free vectors form a closed triangle. This is known as 32. a. St. Venant’s Theorem b. Theorem of Three Forces c. Lame’s Theorem d. None of these The angle between two equal forces P each is Ɵ. The resultant of these forces is 𝜃 a. 2P.Sin2 𝜃 c. 2P.tan 2 33. 𝜃 b. 2P.Cos2 𝜃 d. 2P. cot 2 The time required to stop a car moving with a velocity of 36 Km/hr within a distance of 40 m is equal to 34. a. 10 sec. b. 8 sec. c. 5 sec. d. 4 sec. The moment of inertia of an ellipse (major axis a and minor axis b) about its major axis is a. c. 𝜋𝑎2 𝑏 2 4 𝜋𝑎𝑏 3 4 b. d. 5 𝜋𝑎𝑏 3 3 𝜋𝑎3 𝑏 4 Rough Work 35. A particle is placed on the inside surface of a hollow sphere of radius R. The coefficient of friction between particle and sphere is 1 . Up to what √3 maximum height the particle can reach? 36. a. 0.5 R b. 0.134 R c. R d. 0.150 R A couple consists of a. two like parallel forces of same magnitude b. two like parallel forces of different magnitudes c. two unlike parallel forces of same magnitude d. two unlike parallel forces of different magnitudes. 37. If the sum of all the forces acting on a body is zero, then the body may be in equilibrium provided the forces are 38. a. concurrent b. parallel c. like parallel d. unlike parallel The condition for a lifting machine to be reversible is that its efficiency should be 39. 40. a. less than 50% b. more than 50% c. more than 66.67% d. equal to 100% 𝜈= 𝑑𝑥 𝑑𝑡 ----- is known as a. simple velocity b. average velocity c. instantaneous velocity d. escape velocity Ability of a body to do work by virtue of its motion is called a. kinetic energy b. potential energy c. force d. none of these 6 Rough Work 41. 42. Which of the following motion is not a curvilinear motion? a. Uniform circular motion b. tangential motion c. simple harmonic motion d. vibrational motion The angles between two forces to make their resultant a minimum and a maximum respectively are 43. 44. 45. 46. a. 0° and 90° b. 180° and 90° c. 90° and 180° d. 180° and 0° Self –Locking machine is also known as a. ideal machine b. reversible machine c. irreversible machine d. none of them Maximum efficiency of screw jack depends only on a. load b. helix angle c. angle of friction d. pitch of the screw For actual machine, effort-load graph is a a. straight line b. point c. elliptical d. none of these In the design of a pulley, shaft and key system, the weakest member in the system is 47. a. shaft b. key c. pulley d. both (a) and (b) A composite bar is made by encasing a steel rod in the brass tube, if the change in length of 1 Mt. of brass tube is 0.01 mm. What will be the change in length of 1 Mt. of steel rod if Esteel = 2. Ebrass . a. 0.005 mm b. 0.01 mm c. 0.1 mm d. 0.02 mm 7 Rough Work 48. On a plane, resultant stress is inclined at an angle 30° to the plane. If the normal stress on the plane is 100 N/mm2 , the shear stress on the plane will be 49. a. 100 N/mm2 b. 50 N/mm2 c. 200 N/mm2 d. 86.6 N/mm2 Two shafts are made of steel, one is solid with diameter D, and other is hollow with outer and inner diameter D and 0.5D respectively. The ratio of the torque transmitted by solid and hollow shafts for the same maximum shear stress is 15 a. 16 8 c. 5 50. b. 16 15 5 d. 8 A thick cylinder of inner radius 5 cm and outer radius 10 cm is subjected to external pressure of 30 N/mm2. The maximum hoop stress developed is 51. 52. 53. a. 20 N/mm2 b. 40 N/mm2 c. 60 N/mm2 d. 80 N/mm2 Creep depends on a. temperature b. surface roughness c. pressure d. none of these Which one of the following relation is correct? a. elastic limit > proportional limit b elastic limit < proportional limit c. proportional limit > breaking point d. none of these A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter? a. Young's modulus b. shear modulus c. Poisson's ratio d. both (a) and (b) 8 Rough Work 54. If the value of Poisson's ratio is zero, then it means that a. the material is rigid b. the material is perfectly plastic c. there is no longitudinal strain in the material d. the longitudinal strain in the material is infinite 55. During tensile-testing of a specimen using a Universal Testing Machine, the parameters actually measured include ….. a. engineering stress and engineering strain b. Poisson’s ratio and young's modulus c. true stress and true strain d. load and elongation 56. 57. The unit of elastic modulus is the same as those of a. stress, shear modulus and pressure b. strain, shear modulus and force c. shear modulus, stress and force d. stress, strain and pressure If a composite bar of steel and copper is heated, then the copper bar will be under 58. a. tension b. compression c. shear d. torsion If the length of a simply supported beam carrying a concentrated load at the centre is doubled, the defection at the centre will become 59. a. two times b. four times c. eight times d. sixteen times Which of the following stress is developed as a result of loading? a. Normal stress b. Shear stress c. Bending stress d. Principal stress 9 Rough Work 60. 61. 62. 63. 64. Deformation per unit length in the direction of force is known as a. strain b. lateral strain c. linear strain d. unit strain Which is typically the longest: bit, byte, nibble, word? a. Bit b. Byte c. Nibble d. Word Which of the following case does not exist in complexity theory a. Best case b. Worst case c. Average case d. Null case Two main measures for the efficiency of an algorithm are a. Processor and memory b. Complexity and capacity c. Time and space d. Data and time Different components in the motherboard of a PC unit is linked together by sets of parallel electrical conducting lines. What are these lines called? 65. a. Conductors b. Buses c. Connectors d. Consecutives Swapping a. Works best with many small partitions b. Allows many programs to use memory simultaneously c. Allows each program in turn to use the memory d. Does not work with overlaying 66. ATM uses a. fixed-length cells with a 48 byte payload b. fixed-length cells with a 53 byte payload c. a 32 byte payload in the U.S., and a 64 byte payload in Europe d. variable-length packets 10 Rough Work 67. 68. 69. Which of the following is an internet-level node? a. Bridge b. Switch c. Router d. None of the above The hierarchical database model depicts a set of ____ relationships. a. M:1 b. 1:1 c. 1:M d. M:N The number of RAM chips of size (256K x 1) required to build 1MB memory is 70. 71. a. 8 b. 32 c. 10 d. 24 The declaration float *a[5]; is a. an ordinary array b. a pointer to an array c. an array of pointers d. none of the above What does the following C-statement declare? Int( * f) ( int *); a. A function that takes an integer pointer as argument and returns an integer b. A function that takes an integer an argument and returns an integer pointer c. A pointer to a function that takes an integer pointer as argument and returns an integer d. A function that takes integer pointer as argument and returns a function pointer 72. 73. Von Neumann architecture is a. SISD b. SIMD c. MIMD d. MISD Convert (527)8 to binary a. 101010111 b. 101010101 c. 111111000 d. 111100101 11 Rough Work 74. Which of the following logical operations produce a 0 if the three inputs 1,1,0 are given 75. 76. a. AND b. XOR c. XNOR d. all of these A finite State Machine can recognize a. any grammar b. only CFG c. any unambiguous grammar d. only regular grammar The temperature coefficient of resistance of an insulator is a. positive and independent of temperature b. positive and dependent of temperature c. negative and independent of temperature d. negative and dependent of temperature 77. 78. 79. The energy capacity of a storage battery is rated in a. Kwh b. KW c. ampere-hours d. joules The area of hysteresis loop is a measure of a. magnetic flux b. permeance c. mmf per cycle d. energy loss per cycle If the reading of two watt meters are equal and positive in two wattmeter method, the load p.f. in a balanced 3 phase 3 wire circuit will be 80. a. zero b. 0.5 c. 0.866 d. unity The number of slip-rings in a 3-phase synchronous motor will be a. 0 b. 1 c. 2 d. 3 or 4 12 Rough Work 81. 82. 83. 84. Lamps in street lighting are all connected in a. Series b. parallel c. series-parallel d. end to end A 3-phase induction motor has a. high starting torque b. no starting torque c. low starting torque d. low starting current Which distribution system is more reliable? a. Ring main system b. Tree System c. Radial System d. all are equally reliable. A direct-on-line (DOL) starter is employed for starting motor of rating up to 85. 86. 87. 88. a. 3.75 KW b. 7.5 KW c. 15 KW d. 25 KW Filament of electric bulbs are usually made of a. Nichrome b. Tungsten c. Copper d. Carbon The rated voltage of a 3-phase power system is given as a. peak phase voltage b. r.m.s. phase voltage c. peak line to line voltage d. r.m.s. line to line voltage Unit of relative power is a. VA b. Watt c. VAR d. Ohm A 4-pole, 1200 rpm alternator generates emf at a frequency of a. 25 Hz b. 40 Hz c. 50 Hz d. 60 Hz 13 Rough Work 89. 90. 91. The unit of flux density is a. A/mm2 b. Tesla c. N/m2 d. Wb/m Transformer action requires a a. constant magnetic flux b. increasing magnetic flux c. alternating magnetic flux d. alternating electric flux A solution curve of the equation xy = 2y, passing through (1,2) also passes through 92. a. (2,1) b. (4,24) c. (0,0) d. (24,4) 𝑑𝑦 The integrating factor of x𝑑𝑥 + xy = 1 + y is x 93. 94. 𝑒𝑥 a. ex b. c. xex d. ex 𝑥 The median of the series 32,16,20,18,37,27,42,44 is a. 23.5 b. 25.5 c. 27.5 d. 29.5 ⃗⃗|, then If Ɵ is the angle between vectors 𝑎⃗ and 𝑏⃗⃗ , such that |a⃗⃗ X⃗⃗⃗ b| = |a⃗⃗ . b Ɵ is 95. a. 0° b. 45° c. 120° d. 180° 0 If A [ 2 𝑏 ]; then A is 𝑑 2 1 ] 0 0 b. [ 2 1 ] −1 0 2 1 d. [− 1 − 1] 2 2 a. [ c. [ 2 1 1 𝑎 ]= [ ] where A = [ −1 0 −1 𝑐 14 0 1 ] 2 −1 Rough Work 96. In the Newton’s Forward Interpolation formula the value of u = 𝑥−𝑥0 ℎ lies between 97. a. 1 and 2 b. -1 and 1 c. 0 and ∞ d. 0 and 1 The median of a set of 9 distinct observations is 20.5. If each of the longest 4 observations of the set is increased by 2, then median a. is decreased by 2 b. is two times the original median c. remains same of that of the original set d. is increased by 2 98. A If A and B are two events such that P(A) > 0 and P(B) < 1, then P( B̅) is equal to, ̅ A a. 1 – P( B ) c. 99. ̅̅̅̅ P(A) P(B) A b. 1 – P( B̅) ̅ A d. 1 – P( ̅ ) B 𝑥+2 𝑥+7 If a, b, c are in AP and A = |𝑥 + 5 𝑥 + 11 𝑥 + 8 𝑥 + 15 𝑎 𝑏 | ; then A equals to 𝑐 a. 1 b. 0 c. [– (a+b+c)] d. (a+b+c) 100. The system of equations, 𝛼𝑥 + 𝑦 + 𝑧 = 𝛼 − 1; x + 𝛼𝑦 + 𝑧 = 𝛼 − 1; 𝑥 + 𝑦 + 𝛼𝑧 = 𝛼 − 1 has no solution, if 𝛼 equals to, a. -2 b. 1 c. 2 d. either -2 or 1 ****************************************************************************** 15