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BITSAT Engineering Entrance Exam Mathematics 1) If f: R R and g : R - 3] for x R, then R are defined by f(x) = |x| and g(x) = [x is equal to (a) (b) {1, 2} (c) {-3, -2} (d) 2) {0, 1} {2, 3} For any integer n 1, the sum is equal to (a) (b) (c) (d) 3) 9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is (a) 18720 (b) 18270 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) 4) 17280 12780 If npr = 30240 and nCr = 252, then the ordered pair (n, r) is equal to (a) (b) (10, 5) (c) (9, 4) (d) 5) (12, 6) (16, 7) If (1 + x + x2 + x3)5 = (a) 512 (d) 6) 256 (c) 1024 If a + P = - 2 and a3 + 3 = - 56, then the quadratic equation whose roots are a and is (a) x2 + 2x 16 = 0 (b) x2 + 2x + 15 = 0 (c) x2 + 2x - 12 = 0 (d) 7) is equal to 128 (b) then x2 + 2x - 8 = 0 The cubic equation whose roots are thrice to each of the roots of x3 + 2x2 4x + 1 = 0 is (a) x3 - 6x2 + 36x + 27 = 0 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) x3 - 6x2 - 36x + 27 = 0 (d) 8) x3 + 6x2 + 36x + 27 = 0 x3 + 6x2 - 36x + 27 = 0 f(t) = t2 - 3t + 7, then If A = is equal to (a) (b) (c) (d) 9) is equal to (a) (b) a+b+c (c) (a + b + c)2 (d) 10) 0 (a + b + c)3 If co is a complex cube root of unity, then sin is equal to (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) 1 (d) 11) cosec 20 - sec 20 is equal to (a) (b) 2 sin 20 - cosec 40 (c) 4 (d) 12) 2 4 sin 20 , cosec 40 If tan + tan ( + ) + tan ( + ) = 3, then which of the following is equal to 1 ? (a) (b) tan 3 (c) tan2 (d) 13) tan 2 tan3 {x R: cos 2x + 2 cos2 x = 2} is equal to (a) (b) (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 14) If sin-1 (a) 7 (d) 15) 5 (c) 11 In ABC, (a) 60 (c) 45 (d) then C is equal to 90 (b) 16) = , then x is equal to 3 (b) + sin-1 30 In a triangle, if r1 = 2r2 = 3r3, then is equal to (a) (b) (c) (d) 17) From the top of a hill h metres high the angles of depressions of the top and the bottom of a pillar are a and respectively. The height (in metres) of the pillar 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) (d) 18) The position vectors of P and Q are respectively and , If R is a point on such that = 5 , then the position vector of R is (a) 4 (b) 5 +4 (c) 4 -5 (d) 19) 5 4 +5 If the position vectors of A, B and C are respectively 2 3 - 5 and 3 4 - 4 , then cos2 A is equal to (a) + , 0 (b) (c) (d) 20) 1 Let be a unit vector, = 2 + maximum value of [ ] is (a) - and = + 3 . Then, -1 (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 (c) (d) 21) If A and B are independent events of a random experiment such that P(A B) = and P(A B) = , then P(A) is equal to (Here, is the complement of the event E) (a) (b) (c) (d) 22) For k = 1, 2, 3 the box Bk contains k red balls and (k + 1) white balls, Let P( ) = P(B2) = 1 and P(B3) = . A box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box B2, is (a) (b) (c) (d) 23) If the sum of the distances of a point P from two perpendicular lines in a plane is 1, then the locus of P is a (a) rhombus (b) circle (c) straight line 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) 24) pair of straight lines- The transformed equation of 3x2 + 3y2 + 2xy = 2. when the coordinate axes are rotated through an angle of 45 , is (a) (b) 2x2 + y2 = 1 (c) x2 + y2 = 1 (d) 25) x2 + 2y2 = 1 x2 + 3y2 = 1 If , m, n are in arithmetic progression, then the straight line lx + my + n = 0 will pass through the point (a) (b) (1, -2) (c) (1, 2) (d) 26) (-1, 2) (2, 1) A pair of perpendicular straight lines passes through the origin and also through the point of intersection of the curve x2 + y2 = 4 with x + y = a. The set containing the value of 'a' is (a) (b) {-3, 3} (c) {-4, 4} (d) 27) {-2, 2} {-5, 5} In ABC the mid points of the sides AB, BC and CA are respectively (l, 0, 0), (0, m, 0) and (0, 0, n). Then, 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 is equal to (a) (b) 4 (c) 8 (d) 28) 2 16 If the lines 2x - 3y = 5 and 3x - 4y = 7 are two diameters of a circle of radius 7, then the equation of the circle is (a) (b) x2 + y2 = 49 (c) x2 + y2 -2x + 2y -47 = 0 (d) 29) x2 + y2 + 2x - 4y - 47 = 0 x2 + y2 = 17 The inverse of the point (1, 2) with respect to the circle x2 + y2 4x - 6y + 9 = 0, is (a) (b) (c) (0, 1) (d) 30) (2, 1) (1, 0) If 2x + 3y + 12 = 0 and x - y + 4 respect to the parabola y 2 = 8x, then (a) 2 (b) -2 (c) = 0 are conjugate with is equal to 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) 31) -3 The distance between the foci of the hyperbola x2 - 3y2 - 4x - 6y -11 = 0 is (a) (b) 6 (c) 8 (d) 32) 4 10 The radius of the circle with the polar equation r2 - 8r( sin ) + 15 = 0 is (a) 6 (d) 33) 7 (c) 5 If f : R (a) -1 (c) 0 (d) R is defined by f(x) = [x - 3] + | x 4| for x is equal to -2 (b) 34) + 8 (b) cos 1 If f : R R is defined by 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 R, then and if f is continuous at x = 0, then is equal to (a) (b) -4 (c) -6 (d) 35) -2 -8 If f(2) = 4 and f'(2) = 1, then is equal to (a) (b) 1 (c) 2 (d) 36) -2 3 If y = a sin , then (a) tan (c) sin (d) 37) cot (b) is equal to cos The equation of the normal to the curve y4 = ax3 at (a, a) is (a) x + 2y = 3a (b) 3x - 4y + a = 0 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) 38) 4x + 3y = 7a 4x - 3y = 0 The length of the sub tangent at (2, 2) to the curve x5 = 2y4 is (a) (b) (c) (d) 39) If constant, then f(x) is equal to (a) (b) (c) (d) 40) If = f(x) + constant, then f(x) is equal to (a) cos (xex) (b) sin (xex) (c) 2 tan-1 (x) (d) tan (x ex) 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 41) dx is equal to (a) 0 (b) 1 (c) 2 (d) 42) The area (in sq unit) of the region bounded by the curves 2x = y2 - 1 and x = 0 is (a) (b) (c) (d) 43) 1 2 The solution of the differential equation is (a) (b) (c) x - y - log (d) 44) x + y = log (cxy) y - x = log The solution of the differential equation (a) y = ex cos x + 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 (b) (c) y = ex sin x + c (d) 45) y cos x = ex + c y sin x = ex + c The solution of the differential equation xy2 dy - (x3 + y3) dx = 0 is (a) y3 = 3x3 + c (b) y3 = 3x3 log (cx) (c) y3 = 3x3 + log (cx) (d) y3 + 3x3 = log (cx) Physics 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 46) The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is (a) Zero (b) -1 (c) (d) 47) 1 The component of vector direction of is (a) 48) along the (ax - ay)/ (d) + az ax - ay (c) + ay ax - ay + az (b) = ax (ax + ay + az) A body thrown vertically up to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is (a) (b) (c) (d) 49) If a body is projected with an angle e to the horizontal, then 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) its velocity becomes zero at its maximum height (c) its velocity makes zero angle with the horizontal at its maximum height (d) 50) its velocity is always perpendicular to its acceleration the body just before hitting the ground, the direction of velocity coincides with the acceleration A river of salty water is flowing with a velocity 2 m/s, If the density of the water is 1.2 g/cc, then the kinetic energy of each cubic metre of water is (a) (b) 24 J (c) 2.4 kJ (d) 51) 2.4 J 4.8 kJ A ball is dropped from a height h on a floor of coefficient of restitution e. The total distance covered by the ball just before second hit is (a) (b) h(1 + 2e2) (c) h(1 + e2) (d) 52) h(1 - 2e2) he2 Two particles A and B initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of A is v and speed of B is 2v, the speed of centre of mass (CM) 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) v (c) 2.5v (d) 53) Zero 4v Starting from rest, the time taken by a body sliding down on a rough inclined plane at 45 with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is (a) (b) 0.33 (c) 0.50 (d) 54) 0.25 0.75 A steel wire can withstand a load up to 2940 N. A load of 150 kg is suspended from a rigid support. The maximum angle through which the wire can be displaced from the mean position, so that the wire does not break when the load passes through the position of equilibrium, is (a) (b) 60 (c) 80 (d) 55) 30 85 The moment of inertia of a thin circular disc about an axis passing through its centre and perpendicular to its plane is 1. Then, the moment of inertia of the disc about an axis parallel to its diameter and touching the edge of the rim 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) 2I (c) I (d) 56) I I The orbit of geo-stationary satellite is circular, the time period of satellite depends on (i) mass of the satellite (ii) mass of the earth (iii) radius of the orbit (iv) height of the satellite from the surface of earth Which of the following is correct? (a) (b) (i) and (ii) (c) (i), (ii) and (iii) (d) 57) (i) only (ii), (iii) and (iv) A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particles after 2 T period from its initial position is (a) A (b) 4A (c) 8A (d) Zero 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 load of 1 kg weight is a attached to one end of a steel wire of area of cross-section 3 mm2 and Young's modulus 1011 N/m2. The other end is suspended vertically from a hook on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is (g = 10 m/s2) (a) (b) 0.3 10-3 (c) 0.3 103 (d) 59) 0.3 10-4 0.3 104 The surface tension of soap solution is 0.03 N/m. The work done in blowing to form a soap bubble of surface area 40 cm2, (in J), is (a) (b) 2.4 10-4 (c) 12 10-4 (d) 60) 1.2 10-4 24 10-4 Two rain drops reach the earth with different terminal velocities having ratio 9: 4. Then the ratio of their volumes is (a) (b) 4:9 (c) 9:4 (d) 61) 3:2 27 : 8 One litre of oxygen at a pressure of 1 atm and two litres of 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 nitrogen at a pressure of 0.5 atm, are introduced into a vessel of volume 1 L. If there is no change in temperature, the final pressure of the mixture of gas (in atm) is (a) (b) 2.5 (c) 2 (d) 62) 1.5 4 There is some change W length when a 33000 N tensile force is applied on a steel rod of area of cross-section 10-3 m2. The change of temperature required to produce the same elongation, if the steel rod is heated, is (The modulus of elasticity is 3 1011N/m2 and the coefficient of linear expansion of steel is 1.1 10-5/oC). (a) (b) 15 C (c) 10 C (d) 63) 20 C 0 C In the adiabatic compression, the decrease in volume is associated with (a) (b) decrease in temperature and increase in pressure (c) decrease in temperature and decrease in pressure (d) 64) increase in temperature and decrease in pressure increase in temperature and increase in pressure Which of the following is true in the case of an adiabatic 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 where = Cp /Cv? (a) (b) p T1- = constant (c) pTy = constant (d) 65) p1- T1-y = constant p T = constant Two slabs A and B of equal surface area are placed one over the other such that their surfaces are completely in contact. The thickness of slab A is twice that of B. The coefficient of thermal conductivity or slab A is twice that of B. The first surface of slab A is maintained at 100 C, while the second surface of slab B is maintained at 25 C. The temperature at the contact of their surfaces is (a) (b) 45 C (c) 55 C (d) 66) 62.5 C 85 C When a sound wave or wavelength A. is propagating in a medium, the 'maximum velocity of the particle is equal to the wave velocity. The amplitude of wave is (a) (b) (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 67) A car is moving with a speed of 72 km/h towards a hill. Car blows horn at a distance of 1800 m from the hill. If echo is heard after 10 s, the speed of sound (in m/s) is (a) (b) 320 (c) 340 (d) 68) 300 360 The refractive index of a material of a planoconcave lens is 5/3, the radius of curvature is 0.3 m. The focal length of the lens in air is (a) (b) - 0.6 m (c) - 0.75 m (d) 69) - 0.45 m -1.0 m Statement (S): Using Huygen's eye-piece measurements can be taken but are not correct. Reason (R): The cross wires, scale .and final image are not magnified proportionately because the image of the object is magnified by two lenses, whereas the cross wire scale is magnified by one lens only. Identify the correct one of the following (a) Both (S) and (R) are true, (R) explains (S). (b) Both (S) and (R) are true, but (R) canner explain (S). (c) Only (S) is correct, but (R) is wrong. (d) Both-(S) and (R) are wrong. 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 70) An achromatic combination of lenses produces (a) (b) coloured images , (c) images unaffected by variation of refractive index with wavelength (d) 71) images in black and white highly enlarged images are formed In Fraunhofer diffraction experiment, L is the distance between screen and the obstacle, b is the size of obstacle and A. is wavelength of incident light. The general condition for the applicability of Fraunhofer diffraction is (a) (b) (c) (d) 72) With a standard rectangular bar magnet 'the time period of a vibration magnetometer is 4 s. The bar magnet is cut parallel to its length into four equal pieces. The time period of vibration magnetometer when one piece is used (in second) (bar magnet breadth is, small) is (a) 16 (b) 8 (c) 4 (d) 2 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 73) The magnetised wire of moment M and length is bent in the form of semicircle of radius r. Then its magnetic moment is (a) (b) 2M (c) (d) 74) zero A charge of 1 C is divided into two parts such that their charges are in the ratio of 2: 3. These two charges are kept at a distance 1 m apart in vacuum. Then, the electric force between them (in N) is (a) (b) 0.00216 (c) 0.0216 (d) 75) 0.216 2.16 Two charges +q and -q are kept apart. Then at any point on the right bisector of line joining the two charges (a) (b) The electric potential is zero (c) Both electric potential and electric field strength are zero (d) 76) The electric field strength is zero Both electric potential and electric field strength are nonzero A current of 2 A flows in an electric circuit as shown in figure. The potential difference (VR - VS), in volts (VR and VS are potentials at R and S respectively) 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) +2 (c) +4 (d) 77) -4 -2 When a battery connected across a resistor of 16 , the voltage across the resistor is 12 V. When the same battery is connected across a resistor of 10 , voltage across it is 11 V. The internal resistance of the battery (in ohm) is (a) (b) (c) (d) 78) One junction of a certain thermoelectric couple is at a fixed temperature T, and the other junction is at temperature T. The thermo-electromotive force for this is expressed by At temperature T = thermoelectric power 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 T0, the (a) 19 G (b) (c) 20 G (d) 79) In a galvanometer 5% of the total current in the circuit passes through it. If the resistance of the galvanometer is G, the shunt resistance 5 connected to the galvanometer is (a) 19 G (b) (c) 20 G (d) 80) Two concentric coils of 10 turns each are placed in the same plane. Their radii are 20 cm and 40 cm and carry 0.2 A and 0.3 A. current respectively in opposite directions. The magnetic induction (in tesla) at the centre is (a) (b) (c) (d) 81) The number of turns in primary- and secondary coils of a transformer is 50 and 200 respectively. If the current in the primary coil is 4 A, then the current in the secondary coil 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) 2A (c) 4A (d) 82) 1A 5A X-rays of wavelength 0.140 nm are scattered' from a block of carbon. What will be the wave lengths of X-rays scattered at 90 ? (a) (b) 0.142 nm (c) 0.144 nm (d) 83) 0.140 nm 0.146 nm An X-ray tube produces a continuous spectrum of radiation with its shortest wavelength of 45 10-2 . The maximum energy of a photon in the radiation in eV is (h = 6.62 10-34 J-s, c = 3 108 m/s) (a) (b) 22,500 (c) 17,500 (d) 84) 27,500 12,500 Fpp, Fnn and Fnp are the nuclear forces between proton-proton, neutron-neutron and neutron-proton respectively. Then relation between them is (a) Fpp = Fnn (b) Fpp Pnp Fnn = Fnp 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) 85) Fpp = Fnn = Fnp Fpp Fnn Fnp Which of the following statements is not correct when a junction diode is in forward bias? (a) (b) Free electrons on n-side will move towards' the junction. (c) Holes on p-side move towards the junction. (d) 86) The width of depletion region decreases. Electron on n-side and holes on p-side will move away from junction. An electronic transition in hydrogen atom results - in the formation of Ha line of hydrogen in Lyman series, the energies associated with the electron in each of the orbits involved in the transition (in kcal mol-1) are (a) (b) -313.6, -78.4 (c) -78.4, - 34.84 (d) 87) -313.6, - 34.84 -78.4, -19.6 The velocities of two particles A and B are 0.05 and 0.02 ms-1 respectively. The mass of B is five times the mass of A. The ratio of their de- Broglie's wavelength is (a) 2:1 (b) -1: 4 (c) 1:1 (d) 4:1 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 88) If the mass defect of 5B11 is 0.081 u, its average binding energy (in MeV) is (a) (b) 6.85 (c) 5.60 (d) 89) 8.60 5.86 The atomic numbers of elements A, B, C and D are Z - 1, Z, Z + 1 and Z + 2, respectively. If B' is a noble gas, choose the correct answers from the following statements (1) (2) 'C" exists in +2 oxidation state (3) 'D' is an alkaline earth metal (a) (1) and (2) (b) (2) and (3) (c) (1) and (3) (d) 90) A' has higher electron affinity (1), (2) and (3) The bond length of HCI molecule is 1.275 and its dipole moment is 1.03 D. The ionic character of the molecule (in percent) (charge of the electron = 4.8 10-10 esu) is (a) 100 (b) 67.3 (c) 33.66 (d) 16.83 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 91) Which one of the following is a correct set? (a) (b) BCl3, Sp3, angular (c) NH+4, dsp2, square planar (d) 92) H2O, Sp3, angular CH4, dsp2, tetrahedral Match the following: The correct match is A B C D (a) iv i ii iii (b) v i ii iii 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) i iii ii (d) 93) iv i iv ii iii What is the temperature at which the kinetic energy of 0.3 moles of helium is equal to the kinetic energy of 0.4 moles of argon -at 400 K? (a) (b) 873 K (c) 533 K (d) 94) 400 K 300 K When 25 g of a non-volatile solute is dissolved in 100.g of water, the vapour pressure is lowered by 2.25 10-1 mm. If the vapour pressure of water at 20 C is 17.5 mm, what is the molecular weight of the solute? (a) (b) 302 (c) 350 (d) 95) 206 276 50 mL of H2O is added to 50 mL of 1 10-3 M barium hydroxide solution. What is the pH of the resulting solution? (a) 3.0 (b) 3.3 (c) 11.0 (d) 11.7 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 96) Assertion (A): The aqueous solution of CH3COONa is alkaline in nature. Reason (R): Acetate ion undergoes anionic hydrolysis The correct answer is (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) 97) both (A) and (R) are true and (R) is the correct explanation of (A). (A) is not true but (R) is true. When same quantity of electricity is passed through aqueous AgNO3 and H2SO4 solutions connected in series, 5.04 10-2 g of H2 is liberated. What is the mass of silver (in grams) deposited? (Eq. wts. of hydrogen = 1. 008, silver = 108) (a) (b) 0.54 (c) 5.4 (d) 98) 54 10.8 When electric current is passed through acidified water for 1930 s, 1120 mL of H2 gas is collected (at STP) at the cathode. What is the current passed in amperes? (a) 0.05 (b) 0.50 (c) 5.0 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) 99) 50 For a crystal, the angle of diffraction (2 ) is 90 and the second order line has a d value of 2.28 . The wavelength (in ) of Xrays used for Bragg's diffraction is (a) 1.612 (b) 2.00 (c) 2.28 (d) 4.00 100) In a 500 mL flask, the degree of dissociation of PCl5 at equilibrium is 40% and the initial amount is 5 moles. The value of equilibrium constant in mol L-1 for the decomposition of PCl5 is (a) 2.33 (b) 2.66 (c) 5.32 (d) 4.66 101) For a reversible reaction A B, which one of the following statements is wrong from the given energy profile diagram? 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) Activation energy of forward reaction is greater than backward reaction (b) The forward reaction is endothermic (c) The threshold energy is less than that of activation energy (d) The energy of activation of forward reaction is equal to the sum of heat of reaction and the energy of activation of backward reaction 102) Calculate H in kJ for the following reaction C(g) + O2(g) CO2(g) Given that, H2O(g) + C(g) CO(g) + H2(g); H = + 131 kJ H = - 282 kj H = - 242 kj (a) -393 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) +393 (c) +655 (d) -655 103) Which one of the following graphs represents "Freundlich adsorption isotherm? 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 213 104) Which one of the following reactions represents the oxidising property of H2O2? (a) 2KMnO4 + 3H2O4 + 5H2O2 K2SO4 + 2MnSO4 + 8H2O + 5O2 (b) 2K3[Fe(CN)6] + 2KOH+ H2O2 2K4[Fe(CN)6] + 2H2O + O2 (c) PbO2 + H2O2 PbO + H2O + O2 (d) 2KI+ H2SO4 + H2O2 K2SO4 + 12 + 2H2O 105) Which of-the following statements are correct for alkali metal compounds? (i) Superoxides are paramagnetic in nature. (ii) The basic strengths of hydroxides increases down the group. (iii) The conductivity of chlorides in their aqueous solutions decreases down the group. (iv) The basic nature of carbonates in aqueous solutions is due to cationic hydrolysis. (a) (i), (ii) and (iii) only 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) (i) and (ii) only (c) (ii), (iii) and (iv) only (d) (iii) and (iv) only 106) Boron halides nature. behave (a) because of their electron deficient (d) acids covalent (c) Lewis proton donor (b) as ionising 107) Identify B in the following reaction (a) corundum (b) quartz (c) silica (d) carborundum 108) The correct order of reducing abilities of hydrides of V group elements is (a) NH3 < PH3 < AsH3 < SbH3 < BiH3 (b) NH3 > PH3 > AsH3 > SbH3 > BiH3 (c) NH3 < PH3 > AsH3 > SbH3 > BiH3 (d) SbH3 > BiH3 > AsH3 > NH3 > PH3 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 213 109) The number of sigma and pi bonds in peroxodisulphuric acid are, respectively (a) 9 and 4 (b) 11 and 4 (c) 4 and 8 (d) 4 and 9 110) Which one of the following reactions does not occur? (a) F2 + 2CI- 2F- + Cl2 (b) Cl2 + 2F- 2CI- + F2 (c) Br2 + 2I- 2Br- + I2 (d) Cl2 + 2Br- 2Cr + Br2 111) The compound in which the number of d - p bonds are equal to those present in CIO-4 (a) XeF4 (b) XeO3 (c) XeO4 (d) XeF6 112) [Co(NH3)5 SO4] Br and [Co(NH3)5 Br) SO4 are a pair of isomers. (a) ionisation (b) ligand 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) coordination (d) hydrate 113) Among the following compounds, which one is not responsible for depletion of ozone layer? (a) CH4 (b) CFCl3 (c) NO (d) Cl2 114) Which of the following correspond (s) has 'Z' configuration? (a) (i) only (b) (ii) only (c) (iii) only (d) (i) and (iii) 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 213 115) According to Cahn-Ingold-Prelog sequence rules, the correct order of priority for the given groups is (a) COOH > CH2OH > OH > CHO (b) COOH > CHO > -CH2 OH > OH (c) -OH> CH2OH > CHO > COOH (d) -OH > COOH > CHO > CH2OH 116) What are X and Y respectively in the following reaction? Z - product butyne product (a) Na/NH3(liq.) and Pd/BaSO4 + H2 (b) Ni/140 C and Pd/BaSO4 + H2 (c) Ni/140 C and Na/NH3(liq.) (d) Pd/ BaSO4 + H2 and Na/NH3(liq.) 117) In which of the following reactions, chlorine acts as an oxidising agent? (i) CH3CH2OH + Cl2 (ii) CH3CHO + Cl2 (iii) CH4 + Cl2 CH3CHO + HCI CCl3 . CHO + HCI CH3CI + HCl The correct answer is (a) (i) only (b) (ii) only (c) (i) and (iii) (d) (i), (ii) and (iii) 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) The correct order of reactivity of hydrogen halides with ethyl alcohol is (a) HF > HCI > HBr > HI (b) HCl > HBr > HF > HI (c) HBr > HCl > HI > HF (d) HI > HBr > HCl > HF 119) The IUPAC name of (a) ethoxy propane' (b) 1, 1-dimethyl ether (c) 2-ethoxy isopropane (d) 2-ethoxy propane 120) Acetone on addition to methyl magnesium bromide forms a complex, which on decomposition with acid gives X and Mg(OH)Br. Which one of the following is X? (a) CH3OH (b) (CH3)3COH (c) (CH3)2 CHOH (d) CH3CH2OH 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 213 121) Identify A and B in the following reaction A B (a) HI + red P LiAlH4 (b) NV / LiAlH4 (c) LiAIH4 HI + red P (d) Pd-BaSO4 Zn+ HCl 122) The structure of the compound formed, when nitrobenzene is reduced by lithium aluminum hydride (LiAlH4) is 123) Match the following: List-I List-II (A) Oxyhemoglobin (i) Analgesic (B) Aspirin (ii) Oxygen carrier (C) Hemoglobin (iii) Photosynthesis 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) Chlorophyll (iv) Oil of winter green (v) Fe2+ paramagnetic The correct match is A B C D (a) (v) (i) (ii) (iii) (b) (iv) (ii) (i) (iii) (c) (iii) (i) (ii) (iv) (d) (v) (ii) (iii) (i) 124) If is the weight average molecular weight and is the number average molecular weight of a polymer, the poly dispersity index (PDI) of the polymer is given by (a) (b) (c) (d) 125) Hydrolysis of sucrose with dilute aqueous sulphuric acid yields (a) 1: 1 D - (+)- glucose; D-(-)-fructose (b) 1: 2 D - ( + )-glucose; D-(-)-fructose (c) 1: 1 D-H-glucose; p- (+) -fructose (d) 1: 2 D-(-)-glucose; D- (+) -fructose 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 English & Reasoning Directions: In each of the following questions, choose the most appropriate alternative to fill in the blank. 126) The teacher ordered Kamal to leave the room him to return. (a) stopped (b) refused (c) forbade (d) callenged 127) I hope you must have ..... by now that failures are the stepping stones to success (a) know (b) felt (c) decided (d) realised 128) In a little published deal, Pepsi Cola has the market in Afghanistan. (a) conquered (b) swallowed (c) entire captured 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 soft drink (d) occupied Directions: In each of the following questions, put the parts P, Q, R and S in their proper order to produce the correct sentence. 129) The Bible, (P) has in many respects (Q) the sacred book of all Christians (R) among all the books of the world (S) a unique character and position (a) QPSR (b) QRPS (c) RPQS (d) RQPS 130) The ultimate hope (P) will force the nations (Q) that the destructive nature of weapons (R) to give up war (S) has not been fulfilled (a) PQRS (b) PRQS (c) QPRS (d) RSQP 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 213 131) It was (P) in keeping with my mood (Q) a soft summer evening, (R) as I walked sedately (S) in the direction of the new house (a) QPRS (b) QRPS (c) SQPR (d) SRPQ Directions: In each of the following questions, choose the alternative which is most nearly the some in meaning to the "word given in capitol letters. 132) EPHEMERAL (a) Uneral (b) Mythical (c) Short-living (d) Artificial 133) STUBBORN (a) Easy (b) Obstinate (c) Willing (d) Pliable 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 213 134) PROGNOSIS (a) Indentification (b) Preface (c) Forecast (d) Scheme Directions: In each of the following questions, choose the alternative which is opposite in meaning to the word given in capitol letters. 135) INFALLIBLE (a) Erring (b) Untrustworthy (c) Dubious (d) Unreliable 136) GATHER (a) Separate (b) Suspend (c) Scatter (d) Spend 137) EXALT (a) Depreciate 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) Ennoble (c) Glorify (d) Simplify Directions: In each of the following questions, choose the alternative which can be substituted for the' given words/sentence. 138) Elderly woman in charge of a girl on social occasions (a) Spinster (b) Matron (c) Chaperon (d) Chandler 139) Land so surrounded by water as to be almost an island (a) Archipelago (b) Isthmus (c) Peninusula (d) Lagoon 140) A Place adjoining kitchen, for washing dishes etc. (a) Cellar (b) Wardrobe (c) Scullery (d) Pantry 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 Direction: 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) 142) Direction: In the question, three words are given. They are followed by four words one of which stands for the class to which these three words belong. Identify that word. Newspaper, Hoarding. Television (a) Press (b) Media (c) Broadcast (d) Rumour 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 213 143) Direction: Find out the number which will come next in the series. 2, 5, (a) 1029 (b) 1094 (c) 1059 (d) 14, 122, 365 1000 144) Direction: In the given question, some statements are followed by one or more inferences. The inference or inferences may be wrongly or correctly drawn. Select one of the alternatives which contains the correctly drawn inference or inferences. Which of the conclusions drawn from the given statements are correct? Given statements Foreigners in Jordon without a valid work permit will be deported. A few Indian emplyees in the building industry in jordon do not possess valid work permits. Inferences (1) All Indians engaged in building industry in Jordon will be deported to India. (2) A few Indians in building industry in Jordon will be deported. (3) A bulk of Indians in Jordon will be deported to India. (4) Indian employees in building industry without work permit will be deported from Jordon. The inferences correctly drawn are (a) 1 and 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 (b) -3 and 4 (c) -2 and 4 (d) 1 and 2 145) Select the series which obeys the given rule: Any figure can be traced by a single unbroken line without retracing 146) Select from amongst the four alternative figures, the one which complete the pattern in the problem figure. 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 213 147) Direction: In the following question a piece of paper is folded, cut and unfolded. One of the four figures given below is exactly like this unfolded paper. Find this out. 148) Direction: In the question a figure is given, its components 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 given in one of the four alternative figures. Find this one 149) Direction: In the given question, Jour numbers/number-pairs are given. Select the one which is different from the other three. (a) 1234 (b) 2345 (c) 4567 (d) 7896 Direction: Find the group of letters from the four alternative which is obtained by applying the same rule to this given word to the right of the sign :: 150) FILM: ADGH:: MILK: ? (a) ADGF (b) HDGE (c) HDGF (d) HEGF 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 ANSWERS MATHEMATICS 1. (c) 2. (c) 3. (c) 4. (b) 5. (c). 6. (d) 7. (d) 8. (b) 9. (d) 10. (a) 11. (c) 12. (b) 13. (b) 14. (b) 15. (b) 16. (d) 17. (a) 18. (a) 19. (c) 20. (d) 21. (b). 22. (b) 23. (a) 24. (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 25. (b) 26. (a) 27. (c) 28. (c) 29. (c) 30. (d) 31. (c) 32. (b) 33. (c) 34. (b) 35. (c) 36. (b) 37. (c) 38. (b) 39. (c) 40. (d) 41. (c) 42. (b) 43. (d) 44. (b) 45. (b) 46. (a) 47. (c) 48. (b) 49. (c) 50. (c) 51. 52. (a) 53. (d) 54. (b) 55. (d) 56. (d) 57. (d) 58. (a) 59. (b) 60. (d) 61. (c) 62. (c) 63. (d) 64. (a) 65. (a) 66. (c) 67. (c) 68. (a) 69. (a) 70. (c) 71. (c) 72. (c) 73. (a) 74. (b) 75. (b) 76. (c) 77. (b) 78. (a) 79. (b) 80. (b) 81. (a) 82. (b) 83. (a) 84. (c) 85. (d) PHYSICS (b) CHEMISTRY 86. (b) 87. (a) 88. (b) 89. (c) 90. (d) 91. (a) 92. (a) 93. (c) 94. (c) 95. (c) 96. (a) 97. (c) 98. (c) 99. (a) 100. (b) 101. (c) 102. (a) 103. (c) 104. (d) 105. (b) 106. (c) 107. (d) 108. (a) 109. (b) 110. (b) 111. (b) 112. (a) 113. (a) 114. (d) 115. (d) 116. (a) 117. (d) 118. (d) 119. (d) 120. (b) 121. (c) 122. (c) 123. (a) 124. (b) 125. (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 ENGLISH & REASONING 126. (c) 127. (d) 128. (c) 129. (a) 130. (c) 131. (a) 132. (c) 133. (b) 134. (c) 135. (a) 136. (c) 137. (a) 138. (c) 139. (c) 140. (c) 141. (a) 142. (b) 143. (b) 144. (c) 145. (b) 146. (b) 147. (a) 148. (c) 149. (d) 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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