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BITSAT Engineering Entrance Exam Solved Paper 2009 MATHEMATICS 1. (a) (b) R - {0, 1, 3} (c) R - {0, -1, - 3} (d) 2. R - {0} R The number of subsets of {1, 2, 3, .... , 9} containing at least one odd number is (a) (b) 396 (c) 496 (d) 3. 324 512 The coefficient of x24 in the expansion of (1 + x2)12(1 + x12) (1 + x24) is (a) 12 C6 (b) 12 C6 + 2 (c) 12 C6 + 4 (d) 12 C6 + 6 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 4. For | x | < 1, the constant term in the expansion of (a) 2 (b) 1 (c) 0 (d) 5. The roots of (x - a) (x - a-1) + (x - a -1) (x - a - 2) + (x - a) (x - a - 2) = 0, a R are always (a) (b) Imaginary (c) real and distinct (d) 6. Equal rational and equal Let f(x) = x2 + ax + b, where a, b R. If f(x) = 0 has all its roots imaginary, then the roots of f(x) + f' (x) + f" (x) = 0 are (a) (b) Imaginary (c) Equal (d) 7. Real and distinct Rational and equal If one of the roots of the other roots are TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) 4, 7 (c) 3, 9 (d) 8. 3, 7 3, 4 If x, y, z are all positive and are the pth, qth and rth terms of a geometric progression respectively, then the value of the determinant (a) (b) (p -1) (q - 1)(r -1) (c) pqr (d) 9. log xyz 0 If has no inverse, then" the real value of x is (a) (b) 3 (c) 0 (d) 10. 2 1 The locus of z satisfying the inequality (a) x2 + y2 < 1 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (b) (c) x2 + y2 > 1 (d) 11. x2 - y2 < 1 2x2 + 3y2 < 1 The period of sin 4 x + cos4 x is (a) (b) (c) (d) 12. (a) (b) (c) (d) 13. cos A cos 2A cos 4A ... cos 2n-1 A equals (a) (b) (c) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 14. If 3 cos x -2 sin x, then the general solution of sin2 x - cos 2x = 2- sin 2x is (a) n + (b) (c) (d) 15. ABC (a) cos2 A (b) cos2 B (c) sin2 A (d) 16. In a sin2 B P is a point on the segment joining the feet of two vertical poles of heights a and b. The angles of elevation of the tops of the poles from P are 45 each. Then, the square of the distance between the tops of the poles is (a) (b) a2 + b2 (c) 2(a2 + b2) (d) 4 (a2 + b2) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 17. In a quadrilateral ABCD, the point P divides DC in the ratio 1:2 and Q is the mid point of AG. If + 2 + - 2 = k , then k is equal to (a) (b) -4 (c) 6 (d) 18. -6 4 If m1, m2, m3 and m4 are respectively the magnitudes of the vectors 1 =2 - + , 3 = - + 2 and =3 -4 -4 , 4 =- +3 + , then the correct order of m1, m2, m3 and m4 is (a) (b) m3 < m1 < m2 < m4 (c) m3 < m4 < m1 < m2 (d) 19. m3 < m1 < m4 < m2 m3 < m4 < m2 < m1 The volume of the tetrahedron having the edges + 2 - , + , - + k as coterminous, is cubic unit. Then equals (a) 1 (b) 2 (c) 3 (d) 4 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 + 20. If A and B are events of a random experiment such that P(A B) = , P( )= and P(B) = , then P(A) equals (a) (b) (c) (d) 21. If X is a binomial variate with the range {a, 1, 2, 3, 4, 5, 6} and P(X = 2) = 4P (X = 4), then the parameter p of X is (a) (b) (c) (d) 22. The area (in square unit) of the circle which touches the lines 4x + 3y = 15 and 4x + 3y = 5 is (a) 4 (b) 3 (c) 2 (d) 23. The point on the line 3x + 4y = 5 which is equidistant from (1, TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 2) and (3, 4) is (a) (b) (15, -10) (c) (1/7, 8/7) (d) 24. (7, - 4) (0, 5/4) The equation of the straight line perpendicular to the straight line 3x, + 2y = 0 and passing through. the point of intersection of the lines x + 3y - 1 = 0 and x - 2y + 4 = 0 is (a) (b) 2x - 3y + 3 = 0 (c) 2x - 3y + 5 = 0 (d) 25. 2x - 3y + 1 = 0 2x - 3y + 7 = 0 The value of A with. | | < 16 such that 2x2 - 10xy + 12y2 + 5x + y - 3 = 0 represents a pair of straight lines, is (a) (b) -9 (c) 10 (d) 26. -10 9 The area (in square unit) of the triangle formed by x + y + 1 = 0 and the pair of straight lines x2 - 3xy + 2y2 = 0 is (a) 7/12 (b) 5/12 (c) 1/12 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 27. 1/6 The pairs of straight lines x2 - 3xy + 2y2 = 0 and x2 - 3xy + 2y2 + x - 2 = 0 form a (a) (b) Rhombus (c) Parallelogram (d) 28. Square but not rhombus Rectangle but not a square The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y-axes respectively are (a) (b) x2 + y2 2x 4y = 0 (c) x2 + y2 8x 16y = 0 (d) 29. x2 + y2 4x 8y = 0 x2 + y2 x y = 0 The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line x = 3 is (a) (b) y2 + 6x = 13 (c) y2 + 6x = 10 (d) 30. y2 + 6x = 0 x2 + 6y = 13 The point (3, - 4) lies on both the circles x2 + y2 - 2x + 8y + 13 = 0 and x2 + y2 - 4x + 6y + 11 = 0 Then, the angle between the circles is - TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) tan-1 (c) tan-1 (d) 31. 60 135 The equation of the circle which passes through the origin and cuts orthogonally each of the circles x2 + y2 - 6x + 8 = 0 and x2 + y2 - 2x - 2y = T is (a) (b) 3x2 + 3y2 - 8x + 29y = 0 (c) 3x2 + 3y2 + 8x + 29y = 0 (d) 32. 3x2 + 3y2 - 8x - 13y = 0 3x2 + 3y2 - 8x - 29y = 0 The number of normals drawn to the parabola y2 = 4x from the point (1, 0) is (a) (b) 1 (c) 2 (d) 33. 0 3 If the circle x2 + y2 = a2 intersects the hyperbola xy = c2 in four points (xi, yi), fori = 1, 2, 3 and 4, then y1 + y2 + y3 + y4 equals (a) 0 (b) c (c) a TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 34. c4 The mid point of the chord 4x - 3y = 5 of the hyperbola 2x2 - 3y2 12 is (a) (b) (c) (d) 35. If a line in the space makes angle a, p and y with the coordinate axes, then cos 2a + cos 2 + cos 2y + sin2 a + sin2 (a) 0 (c) 1 (d) 36. -1 (b) + sin2 y equals 2 The image of the point (3, 2, 1) in the plane 2x-y+3z = 7 is (a) (1, 2, 3) (b) (2, 3, 1) (c) (3, 2, 1) (d) (2, 1, 3) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 37. (a) (b) e2 (c) e3 (d) 38. e e5 If f: R R is defined by then the value of a so that f is continuous at 0 is (a) 2 (b) 1 (c) -1 (d) 0 39. is equal to (a) (b) (c) (d) 40. a - 2b is equal to TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) -1 (c) 0 (d) 41. 1 2 y = ea sin-1 x (1 - x2) yn+2 - (2n + 1) xyn+1 is equal to (a) (b) (n2 - a2)y (c) (n2 + a2) yn (d) 42. -(n2 + a2)yn -(n2 - a2) yn n The function f(x) = x3 + ax2 + bx + c, a2 3b has (a) one maximum value (b) one minimum value (c) no extreme value (d) one maximum and one minimum value 43. dx is equal to (a) (b) ex cot x + c (c) 2ex cot x + c (d) 44. - ex cot x + c -2ex cot x + c dx is equal to TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) 2 (c) -1 (d) 45. 1 -2 The solution of the differential equation (a) cosec (x + y) + tan(x + y) = x + c (b) x + cosec (x + y) = c (c) x + tan (x + y) = c (d) x + sec (x + y) = c Physics 46. When a wave traverses a medium the displacement of a particle located at x at a time is given by y = a sin (bt - cx), where a, band are constants of the wave, which of the following is a quantity with dimensions? (a) (b) bt (c) cx (d) 47. A body is projected vertically upwards at time t = 0 and it is seen at a height H at time t1 and t2 second during its flight. The maximum height attained is (g is acceleration due to gravity) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) (c) (d) 48. A particle is projected up from a point at an angle with the horizontal direction. At any time t, if P is the linear momentum, y is the vertical displacement, x is horizontal displacement, the graph among the following which does not represent the variation of kinetic energy KE of the particle is TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) graph (B) (c) graph (C) (d) 49. graph (A) graph (D) A motor of power Po is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe n times, the power of the motor is increased to P1. The ratio of P1 to P0 is (a) n: 1 (b) n2: 1 (c) n3: 1 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 50. n4: 1 A body of mass 5 kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to 1/10th of its original velocity. Then the mass of the second body is (a) (b) 0.5 kg (c) 5 kg (d) 51. 4.09 kg 5.09 kg A particle of mass 4 m explodes into three pieces, of masses m, m and 2 m. The equal masses move along X-axis and Y-axis with velocities 4 ms-1 and 6 ms-1 respectively. The magnitude of the velocity of the heavier mass is ms-1 (a) (b) ms-1 2 ms-1 (c) (d) 52. body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If R is the radius of the earth, maximum height attained by the body from the surface of the earth is (a) R/6 (b) R/3 (c) 2R/3 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 53. R The displacement of a particle executing SHM is given by If T is the time period and the mass of the particle is 2 g, the kinetic energy of the particle when is given by (a) (b) 0.5 J (c) 3J (d) 54. 0.4 J 0.3 J If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are a, band c respectively, the ratio between' the increase in lengths of brass and steel wires would be (a) (b) (c) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 55. A soap bubble of radius r is blown up to form a bubble of radius 2 r under isothermal conditions. If T is the surface tension of soap solution, the energy spent in the blowing (a) Tr2 (b) 6 Tr2 (c) 12 Tr2 (d) 56. 3 24 Tr2 Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of 6 cm s-1. If they coalesce to form one big drop, what will be the terminal speed of bigger drop? (Neglect the buoyancy of the air) (a) (b) 6 cm s-1 (c) 24 cm-s-1 (d) 57. 1.5 cm-s-1 32 cm-s-1 A clock pendulum made of invar has a period of 0.5 s, at 20 C. If the clock is used in a climate where the temperature averages to 30 C, how much time does the clock lose in each oscillation? (For invar, a = 9 10-7 / C, g = constant) (a) 2.25 10-6 s (b) 2.5 10-7 s (c) 5 10-7 s (d) 1.125 10-6 s TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 58. A piece of metal weighs 45 g in air and 25 g in a liquid of density 1.5 103 kg-m-3 kept at 30 C. When the temperature of the liquid is raised to 40 C, the metal piece weighs 27 g. The density of liquid at 40 C is 1.25 103 kg-m-3. The coefficient of linear expansion of metal is (a) (b) 5.2 10-3/ C (c) 2.6 10-3/ C (d) 59. 1.3 10-3/ C 0.26 10-3/ C An ideal gas is subjected to a cyclic process ABCD as depicted in the p- V diagram given below: Which of the following curves represents the equivalent cyclic process? TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 60. An ideal gas is subjected to cyclic process involving four thermodynamic states, the amounts of heat (Q) and work (W) involved in each of these states are Q1 = 6000 J, Q2 = - 5500 J; Q3 = - 3000 J; Q4 = 3500 J W1 = 2500 J; W2 = -1000 J; W3 = -1200 J; W4 = x J. The ratio of the net work done by the gas to the total heat absorbed by the gas is . The values of x and respectively are (a) 500; 7.5% (b) 700; 10.5% (c) 1000; 21% (d) 1500; 15% TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 61. Two cylinders A and B fitted with pistons contain equal number of moles of an ideal mono atomic gas at 400 K. The piston of A is free to move while that of B is held fixed. Same amount of heat energy is given to the gas in each cylinder. If the rise in temperature of the gas in A is 42 K, the rise in temperature of the gas in B is (a) (b) 35 K (c) 42 K (d) 62. 21 K 70 K Three rods of same dimensional have thermal conductivity 3 K, 2 K and K. They are arranged as shown in the figure below Then, the temperature of the junction in steady state is (a) (b) (c) 75 C (d) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 63. Two sources A and B are sending notes of frequency 680 Hz. A listener moves from A and B with-a constant velocity u. If the speed of sound in air is 340 ms-1, what must be the value of u so that he hears 10 beats per second? (a) (b) 2.5 ms-1 (c) 3.0 ms-1 (d) 64. 2.0 ms-1 3.5 ms-1 Two identical piano wires have a fundamental frequency of 600 cycle per second when kept under the same tension. What fractional increase in the tension of one wires will lead to the occurrence of 6 beats per second when both wires vibrate simultaneously? (a) (b) 0.02 (c) 0.03 (d) 65. 0.01 0.04 In the Young's double slit experiment, the intensities at two points P1 and P2 on the screen are respectively I1 and I2, If P1 is located at the centre of a bright fringe and P2 is located at a distance equal to a quarter of fringe width from (a) 2 (b) (c) 4 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 66. 16 In Young's double slit experiment, the 10th maximum of wavelength 1 is at a distance of 1 from the central maximum. When the wavelength of the source is changed to 2, 5th maximum is at a distance of y2 from its central maximum. The ratio is (a) (b) (c) (d) 67. Four light sources produce the following four waves: (i) y1 = a sin ( t + (ii) y2 = a sin 2 t (iii) y3 = a' sin ( t + (iv) y4 = a' sin (3 1) 2) t+ ) Super Position of which two waves give rise to interference? (a) (b) (ii) and (iii) (c) (i) and (iii) (d) 68. (i) and (ii) (iii) and (iv) The two lenses of an achromatic doublet should have TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) Equal dispersive powers (c) Equal ratio of their power and dispersive power (d) 69. Equal powers Sum of the product of their powers and dispersive power equal to zero Two bar magnets A and B are placed one over the other and are allowed to Vibrate in a vibration magnetometer. They make 20 oscillations per minute when the similar poles of A and B are on the same side, while they make 15 oscillations per minute when their opposite poles lie on the same side. If MA and MB are the magnetic' moments of A and B and if MA > MB, the ratio of MA and MB is (a) (b) 25:7 (c) 7: 5 (d) 70. 4: 3 25: 16 A bar magnet is 10 cm long is kept with its north (N)-pole pointing north. A neutral point is formed at a distance of 15 cm from each pole: Given the horizontal component of earth's field is 0.4 Gauss, the pole strength of the magnet is (a) 9 A-m (b) 6.75 A-m (c) 27 A-m (d) 1.35 A-m TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 71. An infinitely long thin straight wire has uniform linear charge density of cm-1. Then, the magnitude of the electric intensity at a point 18 cm away is (given 0 = 8.8 10-12 C2Nm-2) (a) (b) 3 1011 NC-1 (c) 0.66 1011 NC1 (d) 72. 0.33 1011 NC1 1.32 1011 NC1 Two point charges -q and + q are located at point's (0, 0, - a) and, (0, 0, a) respectively. The electric potential at a point (0, 9, z), where z > a is (a) (b) (c) (d) 73. In the adjacent shown circuit, a voltmeter of internal resistance R, when connected across B an C reads Neglecting the internal resistance of the battery, the value of R is TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) 75 k (c) 50 k (d) 74. 100 k 25 k A cell in secondary circuit gives null deflection for 2.5 m length of potentiometer having 10 m length of wire. If the length of the potentiometer wire is increased by 1 m without changing the cell in the primary, the position of the null point now is (a) (b) 3m (c) 2.75 m (d) 75. 3.5 m 2.0 m The following series L-C-R circuit, when driven by an emf source of angular frequency 70 kilo-radians per second, the circuit effectively behaves like TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) Series R-L circuit (c) Series R-C circuit (d) 76. Purely resistive circuit Series L-C circuit with R = 0 A wire of length is bent into a circular loop of radius R and carries a current . The magnetic field at the centre of the loop is B. The same wire is now bent into a double loop of equal radii. If both loops carry the same current and it is in the same direction, the magnetic field at the centre of the double loop will be (a) (b) 2B (c) 4B (d) 77. Zero 8B An infinitely long straight conductor is bent into the shape as shown below. It carries a current of I ampere and the radius of the circular loop is R metre. Then, the magnitude of magnetic induction at the centre of the circular loop is TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) (c) (d) 76. The work function of a certain metal is 3.31 10-19 J. Then, the maximum kinetic energy of photoelectrons emitted by incident radiation of wavelength 5000 A is (Given, h = 6.62 10-34 J-s, c = 3 108 ms-1. e = 1.6 10-19 C) (a) (b) 0.41 eV (c) 2.07 eV (d) 79. 248 eV 0.82 eV A photon of energy E ejects; a photoelectron from a metal surface whose work function is W0. If this electron enters into a uniform magnetic field of induction B in a direction perpendicular to the field and describes a circular path of radius r, then the radius r is given by, (in the usual notation) (a) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (b) (c) (d) 80. Two radioactive materials X1 and X2 have decay constants 10 and A respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/ e after a time (a) (b) 1/(11 ) (c) 11/(10 ) (d) 81. (1/10 ) 1/(9 ) Currents flowing in each of the following circuits A and B respectively are (a) 1 A, 2 A (b) 2 A, 1 A (c) 4 A, 2 A TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 82. 2 A, 4 A A bullet of mass 0.02 kg travelling horizontally with velocity 250 ms-1 strikes a block of wood of mass 0.23 kg which rests on a rough horizontal surface. After the impact, the block and bullet move together arid come to rest after travelling a distance of 40 m. The coefficient of sliding friction of the rough surface is (g = 9.8 ms-2) (a) (b) 0.61 (c) 0.51 (d) 83. 0.75 0.30 Two persons A and B are located in X - Y plane at the points (0, 0) and (0, 10) respectively. (The distances are measured in MKS unit). At a time t = 0, they start moving simultaneously with velocities and respectively. The time after which A arid B are at their closest distance is (a) 2.5 s (b) 4s (c) 1s (d) 84. A rod of length is held vertically stationary with its lower end located at a point P, on the horizontal plane. When the rod is released to topple about P, the velocity of the upper end of the rod with which it hits the ground is (a) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (b) (c) 3 (d) 85. A wheel of radius 0.4 m can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of 4 kg is hung. An angular acceleration of 8 rad-s-2 is produced in it due to the torque. Then, moment of inertia of the wheel is (g = 10 ms-2) (a) 2 kg-m2 (b) 1 kg-m2 (c) -4 kg-m2 (d) 8 kg-m2 CHEMISTRY 86. Given that Hf(H) = 218 kJ/mol, express the H-H bond energy in kcal/mol. (a) (b) 911 (c) 104 (d) 87. 52.15 52153 Identify the alkyne in the following sequence of reactions, TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) H3C - CH2 - C CH (c) H2C = CH C CH (d) 88. H3 C C HC = C - CH2 C 104 40' (b) 103 (c) 107 (d) 109 28' One mole of alkene on ozonolysis gave one mole of acetaldehyde and one mole of acetone. The IUPAC name of is (a) 2-methyl-2-butene (b) 2-methyl-1-butene (c) 2-butene (d) 90. CH Fluorine reacts with dilute NaOH and forms a gaseous product A. The bond angle in the molecule of A is (a) 89. C - CH3 1-butene The number of p -d 'pi' bonds present in XeO3 and XeO4 molecules, respectively are TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) 4, 2 (c) 2, 3 (d) 91. 3, 4 3, 2 The wavelengths of electron waves in two orbits is 3: 5. The ratio of kinetic energy of electrons will be (a) (b) 5: 3 (c) 9: 25 (d) 92. 25: 9 3: 5 Which one of the following sets correctly represents the increase in the paramagnetic property of the ions? (a) (b) Cu2+ < Cr2+ < V2+ < Mn2+ (c) Cu2+ < V2+ < Cr2+ < Mn2+ (d) 93. Cu2+ > V2+ > Cr2+ > Mn2+ V2+ < Cu2+ < Cr2+ < Mn2+ Electrons with a kinetic energy of 6.023 104 J/mol are evolved from the surface of a metal, when it is exposed to radiation of wavelength of 600 nm. The minimum amount of energy required to remove an electron from the metal atom is (a) 2.3125 10419 J (b) 3 10-19 J (c) 6.02 10-19 J (d) 6.62 10-34 J TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 94. The chemical entities atmosphere are (a) 95. The type of bonds present in sulphuric anhydride are 3 and three p - d (b) 3 one p - p and two p -d (c) 2 and three p - d (d) 2 and two p - d In Gattermann reaction, a diazonium group is replaced by using and are (a) Cu/HCI (b) CuCl2/HCI (c) CuCl2/HCI (d) 97. the O3, O+2, O2 (a) 96. of N2, O2, CO2, H2O (d) thermosphere O3 (c) in O+2, O+, NO+ (b) present Cl2 Cu2O/HCI Which pair of oxyacids of phosphorus contains 'P-H' bonds? (a) H3PO4, H3PO3 (b) H3PO3, H4P2O7 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (c) (d) 98. H3PO3, H3PO2 H3PO2, HPO3 Dipole moment of HCl = 1.03 D, HI = 0.38 D. Bond length of HCI = 1.3 and HI = 1.6 . The ratio of fraction of electric charge , , existing on each atom in HCl and HI is (a) (b) 2.7: 1 (c) 3.3: 1 (d) 99. 12: 1 1: 3.3 SiCl4 on hydrolysis forms 'X' and HCl. Compound 'X' loses water at 1000 C and gives 'Y'. Compounds 'X' and 'Y' respectively are (a) H2SiCl6, SiO2 (b) H4SiO4, Si (c) SiO2, Si (d) H4SiO4, SiO2 100. 1.5 g of CdCl2 was found to contain 0.9 g of Cd. Calculate the atomic weight of Cd. (a) 118 (b) 112 (c) 106.5 (d) 53.25 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 101. Aluminium reacts with NaOH and forms compound 'X'. If the coordination number of aluminium in 'X' is 6, the correct formula of X is (a) [Al(H2O)4(OH)2]+ (b) [Al(H2O3) (OH)3] (c) [Al(H2O)2 (OH)4]- (d) [Al(H2O)6](OH)3 102. The average kinetic energy of one molecule of an ideal gas at 27 C and 1 atm pressure is (a) 900 cal K-1 mol-1 (b) 6.21 10-21 JK-1 molecule-1 (c) 336.7 JK-1 molecule-1 (d) 3741.3 JK-1 mol-1 103. Assertion (A) K, Rb and Cs form superoxides. Reason (R) The stability of the superoxides increases from 'K' to 'Cs' due to decrease in lattice energy. The correct answer is (a) Both (A) and (R) are true and (R) is the correct explanation of (A) (b) Both (A) and (R) are true but (R) is not the correct explanation of (A) (c) (A) is true but (R) is not true (d) (A) is not true but (R) is true 104. How many 'mL' of perhydrol is required to produce sufficient oxygen which can be used to completely convert 2L of SO2 gas TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 to SO3 gas? (a) 10 mL (b) 5 mL (c) 20 mL (d) 30 mL 105. pH of a buffer solution decreases by 0.02 units when 0.12 g of acetic acid is added to 250 mL of a buffer solution of acetic acid and potassium acetate at 27 C. The buffer capacity of the solution is (a) 0.1 (b) 10 (c) 1 (d) 0.4 106. Match the following. The correct answer is TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (A) (B) (C) (D) (a) IV V II I (b) IV V I II (c) IV I III II (d) II V IV I 107. Which one of the following order is correct for the first ionisation energies of the elements? (a) B < Be< N < O (b) Be < B < N < O (c) B < Be < O < N (d) B < O < Be < N 108. What are and in the following reaction sequence? C2H5OH (a) C2H5Cl, CH3CHO (b) CH3CHO, CH3CO2H (c) CH3CHO, CCl3CHO (d) C2H5CI, CCl3CHO 109. What are in the following reactions? (I) (CH3CO2)2 Ca (II) CH3CO2H TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (III) 2CH3 CO2 (a) C2H6 CH3COCH3 (CH3CO)2O (b) (CH3CO)2O C2H6 CH3COCH3 (c) CH3COCH3 C2H6 (CH3CO)2O (d) CH3COCH3 (CH3CO)2O C2H6 110. One per cent composition of an organic compound A is, carbon: 85.71% and hydrogen 14.29%. Its vapour density is 14. Consider the following reaction sequence Identify (a) CH3 CH CO2 H | OH (b) HO CH2 CH2 CO2H (c) HO CH2 CO2 H (d) CH3 CH2 CO2 H 111. How many tripeptides can be prepared by linking the amino acids glycine, alanine and phenyl alanine? (a) One TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (b) Three (c) Six (d) Twelve 112. A codon has a sequence of , and specifies a particular B that is 'to be incorporated into a . What are (a) 3 bases amino acid carbohydrate (b) 3 acids carbohydrate protein (c) 3 bases protein amino acid (d) 3 bases amino acid protein 113. Parkinson's disease is linked to abnormalities in the levels of dopamine in the body. The structure of donamine is TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 114. During the depression in freezing point experiment, equilibrium is established between the molecules of (a) Liquid solvent and solid solvent (b) Liquid solute and solid solvent (c) Liquid solute and solid solute (d) Liquid solvent and solid solute 115. Consider the following reaction, C2H5Cl + AgCN (major) Which one of the following statements is true for ? (I) It gives propionic acid on hydrolysis (II) It has an ester functional group TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 an (III) It has a nitrogen linked to ethyl carbon (IV) It has a cyanide group (a) IV (b) III (c) II (d) I 116. For the following cell reaction, Ag | Ag+ | AgCl | | Cl2, Pt Gf / (AgCl) = -109 kJ/mol G f/( ) = -129 kJ/mol G f/(Ag+) = 78 kJ/mol E of the cell is (a) - 0.60 V (b) 0.60 V (c) 6.0 V (d) None of these 117. The synthesis of crotonaldehyde from acetaldehyde is an example of .. reaction (a) nucleophilic addition (b) elimination (c) electrophilic addition (d) nucleophilic addition-elimination TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 118. At 25 C, the molar conductances at infinite dilution for the strong electrolytes NaOH, NaCl and BaCl2 are 248 10-4, 126 10-4 and 280 10-4 Sm2 mol-1 respectively, m Ba(OH)2 in Sm2 mol-1 is (a) 52.4 10-4 (b) 524 10-4 (c) 402 10-4 (d) 262 10-4 119. The cubic unit cell of a metal (molar mass = 63.55 g mol-1) has an edge length of 362 pm. Its density is 8.92g cm-3 the type of unit cell is (a) Primitive (b) Face centred (c) Body centred (d) End centred 120. The equilibrium constant for the given reaction is 100. N2(g) + 2O2(g) 2NO2(g) What is the equilibrium constant for the reaction given below? NO2(g) (a) 10 (b) 1 (c) N2(g) + O2(g) 0.1 TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (d) 0.01 121. For a first order reaction at 27 C, the ratio of time required for 75% completion to 25% completion of reaction is (a) 3.0 (b) 2.303 (c) 4.8 (d) 0.477 122. The concentration of an organic compound in chloroform is 6.15 g per 100 mL of solution. A portion of this solution in a 5 cm polarimeter' rube causes an observed rotation of -1.2 . What is the specific rotation of the compound? (a) + 12 (b) -3.9 (c) -39 (d) +61.5 123. 20 mL of 0.1 M acetic acid is mixed with 50 mL of potassium acetate. Ka of acetic acid = 1.8 10-5 at 27 C. Calculate concentration of potassium acetate if pH of the mixture is 4.8. (a) 0.1 M (b) 0.04 M (c) 0.4 M (d) 0.02 M TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 124. Calculate H for the reaction, Na2(s) + SO3(g) Na2SO4(g) given the following: (A) Na(s) + H2O(l) NaOH(s) + (B) Na2SO4(S) + H2O(l) H2(g) 2NaOH(s) + SO3(g) H = + 418 kJ (C) 2Na2O(s) + 2H2(g) 4Na(s) + 2H2O(l) H = + 259 kJ (a) + 823 kJ (b) -581 kJ (c) -435 kJ (d) +531 kJ 125. Which one of the following is most effective in causing the coagulation of an As2S3 sol? (a) KCl (b) AlCl3 (c) MgSO4 (d) K3Fe(CN)6 REASONING Directions (Q. 126-128): In each of the following questions, choose the most appropriate alternative to fill in the blank. TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 126. It is difficult to believe what he tells us because his account of any event is always full of of all sorts. (a) Discrepancies (b) Differences (c) Discretions (d) Distinctions 127. The bank clerk tried to . money from his friend's account. (a) Empower (b) Embellish (c) Embroil (d) Embezzle 128. Eight scientists have ... the national awards for outstanding contribution and dedication to the profession(a) Bestowed (b) Picked (c) Bagged (d) Conferred Directions (Q. 129-131): In the following questions, some parts have been jumbled up. You are required to rearrange these parts, which are labelled P, Q, R and S, to produce the correct sentence. 129. Freedom, is the restricted kind in the sense/(P), the rich and TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 poor woman/(Q), that a wide gulf separates/ (R), which a modern woman enjoys(S) (a) PSRQ (b) SRQP (c) RQPS (d) SPRQ 130. In life, some rules are/(P), as in business/(Q), they seem almost instinctive/(R), learnt so early that/(S) (a) RSPQ (b) QPSR (c) RPSQ (d) QSPR 131. Kapil, left in an aeroplane/(P), after reading a sailing magazine/(Q), had decided/(R), to build his own boat nine years earlier/(S) (a) PRQS (b) RSQP (c) RQPS (d) PSRQ Directions (Q. 132-134): In each of the following questions is choose the alternative which is most nearly the same in meaning to the word given in capital letters. TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 132. DENOUEMENT (a) Outcome (b) Eschew (c) Action (d) Character 133. GAUCHE (a) Vain (b) Rich (c) Polished (d) Tactless 134. ACCOLADE (a) Honour (b) Appreciation (c) Greeting (d) Gift Directions (Q. 135-137): In each of the following questions, choose the alternative which is opposite in meaning to the word given in capital letters. 135. REPRIMAND (a) Reward TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (b) Appreciate (c) Encourage (d) Praise 136. IMPERTINENT (a) Polite (b) Indifferent (c) Unpleasant (d) Stubborn 137. EQUIVOCAL (a) Mistaken (b) Quaint (c) Clear (d) Universal Directions (Q. 138-140): In each of the following questions, choose the alternative which can be substituted for the given words/sentence. 138. Design made by putting together coloured pieces of glass or stones (a) Oleograph (b) Mosaic (c) Tracery (d) Relief TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 139. The doctrine that human soul passes from one body to another at the time of death (a) Metamorphosis (b) Transition (c) Transmigration (d) Extrapolation 140. A style in which a writer makes a display of his knowledge (a) Pedantic (b) Ornate (c) Verbose (d) Pompous Directions (Q. 141): In each of these questions, two figure/words are given to the left of the sign :: and one figures word to the right of the sign:: with four alternatives under it out. of which one of the alternatives has the same relationship with the figures/words to the right of the sign:: as between the two figures/words to the left of the sign (::). Find the correct alternative. 141. TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 Directions (Q. 142): In the following question, choose the missing word or sign (?) on the basis of the relationship between the words given on the left/right hand side of the signs. 142. Doctor: Nurse:: ? : Follower (a) Worker (b) Employer (c) Union (d) Leader 143. One of the, numbers does not fit into the series. Find the wrong number 1788, 892, 444, 220, 112, 52, 24 (a) 52 (b) 112 (c) 220 (d) 444 Directions (Q. 144): In the question below is given a statement followed by three assumptions numbered I, II and III. An assumption is something supposed or taken for granted. You TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 have to consider the statement and the following assumptions and decide which of the assumption(s) is/are implicit in the statement. 144. Statement: Large number of people affected by the flood in the area gathered at the relief camp for food, water and shelter organized by the state government Assumptions: I. The relief camp has enough supplies to provide food and water to the affected people in the area. II. All those whose houses are submerged accommodated in the temporary shelters. III. Many more affected people are yet to reach the relief camp. (a) Only I is implicit (b) Only I and II are implicit (c) Only II is implicit (d) Only II and III are implicit can be 145. Identify the missing part of the figure and select it from the given alternatives. TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 146. Figure (x) is embedded in anyone of the four alternative figures. Choose the alternative which contains figure (x). 147. Which symbol will appear on the opposite surface to the symbol x? TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 (a) (b) (c) + (d) 148. The three figures marked X, Y, Z show the manner in which a paper is folded step by step and then cut. From the answer figures (a), (b), (c), (d), select the one, showing the unfolded position of the Paper after the cut. 149. SERVANT: QGPXYPR :: KING? (a) MKPI (b) IKLI (c) IGLE (d) IGPI TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 149. If P denotes Q denotes, ' ' R denotes '+' S denotes ' ', Then what is the value of 18 Q 12 P 4 R 5 S 6 =? (a) 64 (b) 81 (c) 53 (d) 24 Answers TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 MATHEMATICS 1. (c) 2. (c) 3. (b) 4. (d) 5. (c) 6. (b) 7. (a) 8. (d) 9. (d) 10. (c) 11. (d) 12. (b) 13. (a) 14. (c) 15. (c) 16. (c) 17. (a) 18. (a) 19. (a) 20. (c) 21. (a) 22. (d) 23. (b) 24. (d) 25. (b) 26. (c) 27. (c) 28. (a) 29. (b) 30. (d) 31. (b) 32. (b) 33. (a) 34. (b) 35. (c) 36. (c) 37. (c) 38. (d) 39. (b) 40. (b) 41. (c) 42. (c) 43. (a) 44. (b) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 45. (b) PHYSICS 46. (d) 47. (c) 48. (a) 49. (a) 50. (a) 51. (c) 52. (b) 53. (d) 54. (d) 55. (d) 56. (c) 57. (a) 58. (c) 59. (a) 60. (b) 61. (c) 62. (a) 63. (b) 64. (b) 65. (d) 66. (a) 67. (c) 68. (d) 69. (b) 70. (d) 71. (a) 72. (c) 73. (c) 74. (c) 75. (c) 76. (c) 77. (c) 78. (b) 79. (d) 80. (d) 81. (c) 82. (c) 83. (a) 84. (b) 85. (a) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 CHEMISTRY 86. (c) 87. (a) 88. (b) 89. (a) 90. (a) 91. (a) 92. (c) 93. (a) 94. (a) 95. (b) 96. (a) 97. (c) 98. (c) 99. (d) 100. (c) 101. (c) 102. (b) 103. (c) 104. (a) 105. (d) 106. (b) 107. (c) 108. (c) 109. (c) 110. (b) 111. (c) 112. (d) 113. (c) 114. (a) 115. (b) 116. (a) 117. (d) 118. (b) 119. (b) 120. (c) 121. (c) 122. (c) 123. (b) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213 124. (b) 125. (b) REASONING 126. (a) 127. (d) 128. (c) 129. (d) 130. (b) 131. (b) 132. (a) 133. (d) 134. (b) 135. (b) 136. (a) 137. (c) 138. (b) 139. (c) 140. (a) 141. (d) 142. (d) 143. (b) 144. (b) 145. (b) 146. (b) 147. (d) 148. (b) 149. (a) 150. (c) TransWeb Educational Services Pvt. Ltd. B 147, 1st Floor, Sector-6, NOIDA, U.P. -201301 Website: http://www.askiitians.comEmail. info@askiitians.com Tel: 0120-4616500 Ext 213

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