MHTCET B.TECH TYPE 3

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MHTCET B.TECH TYPE 3

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1 / 150

1. If cotθ = 1 and θ is acute, then θ is:

1) 60°

2) 90°

3) 30°

4) 45°

2 / 150

2. A voltmeter is connected in:

1) Not connected

2) Either way

3) Series

4) Parallel

3 / 150

3. Equivalent resistance of 7 Ω and 13 Ω in series is:

1) 20 Ω

2) 91 Ω

3) 13 Ω

4) 7 Ω

4 / 150

4. Equivalent resistance of 7 Ω and 7 Ω in series is:

1) 7 Ω

2) 7 Ω

3) 14 Ω

4) 49 Ω

5 / 150

5. Value of log₂(2^6) is:

1) 5

2) 1

3) 7

4) 6

6 / 150

6. A body moves with u=13 m/s, a=6 m/s² for t=5 s. Distance covered is:

1) 140.0 m

2) 70.0 m

3) 65.0 m

4) 30.0 m

7 / 150

7. Charge passed when current 4 A flows for 420 s is:

1) 1680 C

2) 424 C

3) 705600 C

4) 840 C

8 / 150

8. Unit of electric potential is:

1) V

2) C

3) N/C

4) T

9 / 150

9. Number of ways to arrange 4 distinct objects is:

1) 8

2) 12

3) 4

4) 24

10 / 150

10. Compute: ∫₀^5 (6x + 6) dx equals:

1) 105

2) 105

3) 60

4) 36

11 / 150

11. For an aqueous solution of molality 0.40, boiling point elevation (Kb=0.52) is:

1) 0.208 K

2) 0.520 K

3) 0.104 K

4) 0.416 K

12 / 150

12. Transformer: Np=300, Ns=500, Vp=220 V. Find Vs:

1) 733 V

2) 367 V

3) 183 V

4) 220 V

13 / 150

13. Compute: ∫₀^4 (2x + 4) dx equals:

1) 32

2) 24

3) 12

4) 32

14 / 150

14. Number of moles in 276 g of a substance (molar mass 92 g/mol) is:

1) 3

2) 92

3) 4

4) 2

15 / 150

15. If log₁₀x = 2, then x is:

1) 20

2) 200

3) 10

4) 100

16 / 150

16. If a GP has first term 3 and common ratio 2, its 4th term is:

1) 24

2) 18

3) 12

4) 48

17 / 150

17. Momentum of mass 4 kg moving at 6 m/s is:

1) 24 kg·m/s

2) 144 kg·m/s

3) 10 kg·m/s

4) 12.0 kg·m/s

18 / 150

18. Equation of line with slope 4 and intercept 5 is:

1) y = 5x + 4

2) y = 4x – 5

3) y = 4x + 5

4) x = 4y + 5

19 / 150

19. Unit of rate constant for a 2 order reaction (in molarity units) is:

1) L mol^-1 s^-1

2) s^-1

3) mol L^-1 s^-1

4) L^2 mol^-2 s^-1

20 / 150

20. Equivalent resistance of 13 Ω and 15 Ω in parallel is:

1) 28 Ω

2) 13 Ω

3) 195/28 Ω

4) 195 Ω

21 / 150

21. For a cell with E°=1.15 V and n=2, if Q=10 at 25°C, E is approximately:

1) 1.15 V

2) 1.15 V

3) 1.12 V

4) 1.09 V

22 / 150

22. If y = 3x^3 + 2x, then dy/dx at x=5 is:

1) 222

2) 232

3) 227

4) 45

23 / 150

23. In PV=nRT, R is called:

1) universal potential

2) gas constant

3) rate constant

4) equilibrium constant

24 / 150

24. Adding sodium acetate to acetic acid decreases its ionization due to:

1) Resonance only

2) Nuclear effect

3) Hydrogen bonding

4) Common ion effect

25 / 150

25. The magnitude of vector (7,2,10) is:

1) √155

2) √151

3) 19

4) √153

26 / 150

26. A particle has u=16 m/s, a=4 m/s² for t=9 s. Find v:

1) 52 m/s

2) 144 m/s

3) 55 m/s

4) 36 m/s

27 / 150

27. Number of protons in nucleus equals:

1) atomic number

2) mass number

3) binding energy

4) neutron number

28 / 150

28. Frictional force acts:

1) perpendicular always

2) opposite relative motion

3) in zero direction

4) along applied force

29 / 150

29. In an endothermic process, heat absorbed is taken as:

1) Zero

2) Positive

3) Negative

4) Undefined

30 / 150

30. For a gaseous equilibrium with Δn=1, if Kc=0.50 at 300 K, Kp ≈ Kc×RT. Find Kp (R=0.082):

1) 0.50

2) 6.15

3) 12.30

4) 24.60

31 / 150

31. Probability of getting tail in one coin toss is:

1) 2

2) 1/2

3) 1

4) 0

32 / 150

32. Acceleration when force=55 N acts on mass=2 kg is:

1) 13.75 m/s²

2) 55.00 m/s²

3) 27.50 m/s²

4) 55.00 m/s²

33 / 150

33. If f=100 Hz and λ=0.35 m, wave speed is:

1) 70.00 m/s

2) 285.71 m/s

3) 17.50 m/s

4) 35.00 m/s

34 / 150

34. pH of a 10^-4 M NaOH solution is approximately:

1) 9

2) 4

3) 10

4) 11

35 / 150

35. Heat required to raise temperature of 200 g water by 20°C (c=4.2 J/g°C) is:

1) 4000 J

2) 16800 J

3) 33600 J

4) 8400 J

36 / 150

36. Time period of simple pendulum depends on:

1) colour

2) amplitude only

3) length

4) mass

37 / 150

37. In AP: a=10, d=4. The 7th term is:

1) 30

2) 70

3) 34

4) 38

38 / 150

38. The magnitude of vector (9,4,5) is:

1) 18

2) √122

3) √120

4) √124

39 / 150

39. Charge passed when current 6 A flows for 540 s is:

1) 3240 C

2) 1749600 C

3) 1620 C

4) 546 C

40 / 150

40. Examples of colloids include:

1) Milk

2) Sugar solution

3) Air-free water

4) Salt solution

41 / 150

41. Evaluate: lim(x→7) (x²-49)/(x-7) equals:

1) 7

2) 14

3) 16

4) 49

42 / 150

42. Acceleration when force=45 N acts on mass=5 kg is:

1) 9.00 m/s²

2) 45.00 m/s²

3) 18.00 m/s²

4) 4.50 m/s²

43 / 150

43. Transformer: Np=200, Ns=450, Vp=220 V. Find Vs:

1) 990 V

2) 495 V

3) 220 V

4) 248 V

44 / 150

44. Number of neutrons in 35Cl (Z=17) is:

1) 17

2) 35

3) 18

4) 52

45 / 150

45. If α,β are roots of x² – 10x + 20 = 0, then αβ is:

1) 21

2) 10

3) 20

4) 19

46 / 150

46. If y = 7x^3 + 2x, then dy/dx at x=5 is:

1) 527

2) 532

3) 105

4) 522

47 / 150

47. For an aqueous solution of molality 0.30, boiling point elevation (Kb=0.52) is:

1) 0.312 K

2) 0.520 K

3) 0.078 K

4) 0.156 K

48 / 150

48. Power of lens with focal length 55 cm is:

1) 0.91 D

2) 3.64 D

3) 2 D

4) 1.82 D

49 / 150

49. For the line y = 8x + 40, the x-intercept is:

1) -7

2) 5

3) -3

4) -5

50 / 150

50. Value of combination 18C4 is:

1) 3060

2) 72

3) 3053

4) 3067

51 / 150

51. If f=80 Hz and λ=0.30 m, wave speed is:

1) 266.67 m/s

2) 24.00 m/s

3) 48.00 m/s

4) 12.00 m/s

52 / 150

52. Lenz’s law gives direction of:

1) Electric field

2) Induced current

3) Magnetic pole

4) Resistance

53 / 150

53. For a gaseous equilibrium with Δn=1, if Kc=1.70 at 300 K, Kp ≈ Kc×RT. Find Kp (R=0.082):

1) 83.64

2) 41.82

3) 1.70

4) 20.91

54 / 150

54. A particle has u=9 m/s, a=1 m/s² for t=3 s. Find v:

1) 15 m/s

2) 27 m/s

3) 3 m/s

4) 12 m/s

55 / 150

55. If α,β are roots of x² – 14x + 14 = 0, then αβ is:

1) 14

2) 13

3) 15

4) 14

56 / 150

56. In AP: a=6, d=1. The 7th term is:

1) 42

2) 12

3) 11

4) 13

57 / 150

57. In AP: a=8, d=2. The 8th term is:

1) 64

2) 20

3) 22

4) 24

58 / 150

58. Hybridization of the central atom in C2H2 is:

1) sp2

2) sp

3) sp

4) sp3

59 / 150

59. Intensity of a wave is proportional to square of:

1) speed

2) wavelength

3) amplitude

4) frequency

60 / 150

60. Value of sin 30° is:

1) 1/2

2) 0

3) √3/2

4) 1

61 / 150

61. Coordination number of central metal in [Ni(CN)4]2- is:

1) 4

2) 2

3) 4

4) 6

62 / 150

62. For a gaseous equilibrium with Δn=1, if Kc=1.10 at 300 K, Kp ≈ Kc×RT. Find Kp (R=0.082):

1) 13.53

2) 54.12

3) 1.10

4) 27.06

63 / 150

63. Determinant of [[7,3],[3,5]] equals:

1) 44

2) 30

3) 26

4) 22

64 / 150

64. Evaluate: lim(x→9) (x²-81)/(x-9) equals:

1) 18

2) 9

3) 81

4) 20

65 / 150

65. Determinant of [[7,2],[2,5]] equals:

1) 27

2) 31

3) 39

4) 35

66 / 150

66. Mass corresponding to 4 moles of a substance of molar mass 28 g/mol is:

1) 28 g

2) 140 g

3) 56 g

4) 112 g

67 / 150

67. Unit of rate constant for a 1 order reaction (in molarity units) is:

1) mol L^-1 s^-1

2) mol L^-1

3) L mol^-1 s^-1

4) s^-1

68 / 150

68. Group 16 elements are called:

1) Halogens

2) Chalcogens

3) Noble gases

4) Alkali metals

69 / 150

69. Ester formed by reaction of propanoic acid with propanol is:

1) Amide

2) Sodium salt

3) propylyl propylanoicate

4) Aldehyde

70 / 150

70. A body moves with u=11 m/s, a=5 m/s² for t=5 s. Distance covered is:

1) 55.0 m

2) 58.8 m

3) 117.5 m

4) 25.0 m

71 / 150

71. Current through a 9 Ω resistor at 24 V is:

1) 1 A

2) 8/3 A

3) 24 A

4) 9 A

72 / 150

72. Value of combination 17C2 is:

1) 136

2) 34

3) 143

4) 129

73 / 150

73. In SHM, maximum speed occurs at:

1) Depends on mass

2) Mean position

3) Any position

4) Extreme position

74 / 150

74. Freezing point depression for molality 0.55 (Kf=1.86) is:

1) 2.05 K

2) 0.51 K

3) 1.02 K

4) 1.86 K

75 / 150

75. pH of a 10^-1 M HCl solution is approximately:

1) 2

2) 1

3) 7

4) 0

76 / 150

76. Gravitational potential energy near Earth is:

1) gh/m

2) mgh

3) mg/h

4) m/g

77 / 150

77. Determinant of [[7,5],[3,8]] equals:

1) 37

2) 71

3) 45

4) 41

78 / 150

78. Mass corresponding to 2 moles of a substance of molar mass 48 g/mol is:

1) 48 g

2) 48 g

3) 144 g

4) 96 g

79 / 150

79. Bond in MgO is predominantly:

1) Ionic

2) Covalent

3) Hydrogen

4) Metallic

80 / 150

80. If f=60 Hz and λ=0.25 m, wave speed is:

1) 7.50 m/s

2) 240.00 m/s

3) 15.00 m/s

4) 30.00 m/s

81 / 150

81. SI unit of electric charge is:

1) Ohm

2) Volt

3) Coulomb

4) Ampere

82 / 150

82. Resistivity is a property of:

1) Material

2) Current only

3) Length only

4) Shape

83 / 150

83. General formula of alkenes is:

1) CnH2n+2

2) CnHn

3) CnH2n

4) CnH2n-2

84 / 150

84. Value of log₂(2^10) is:

1) 9

2) 1

3) 10

4) 11

85 / 150

85. Mass corresponding to 6 moles of a substance of molar mass 68 g/mol is:

1) 68 g

2) 204 g

3) 408 g

4) 476 g

86 / 150

86. Dimensional formula of energy is:

1) M^0L^0T^0

2) ML^2T^-2

3) MLT^-2

4) ML^-1T^-2

87 / 150

87. For a conductor, Ohm’s law states that V is proportional to:

1) I (at constant temperature)

2) Area only

3) R only

4) Temperature only

88 / 150

88. Current through a 12 Ω resistor at 24 V is:

1) 2 A

2) 1 A

3) 24 A

4) 12 A

89 / 150

89. Equivalent resistance of 7 Ω and 12 Ω in parallel is:

1) 7 Ω

2) 84 Ω

3) 84/19 Ω

4) 19 Ω

90 / 150

90. Equivalent resistance of 13 Ω and 16 Ω in series is:

1) 29 Ω

2) 208 Ω

3) 16 Ω

4) 13 Ω

91 / 150

91. For a first order reaction with k=0.25 s^-1, half-life is approximately:

1) 5.54 s

2) 4.00 s

3) 2.77 s

4) 1.39 s

92 / 150

92. Absolute zero equals:

1) 0°C

2) -273.15°C

3) 273.15°C

4) -100°C

93 / 150

93. Simplify: (35^2 – 15^2)/(35-15) equals:

1) 54

2) 50

3) 525

4) 20

94 / 150

94. Heat required to raise temperature of 300 g water by 30°C (c=4.2 J/g°C) is:

1) 75600 J

2) 37800 J

3) 18900 J

4) 9000 J

95 / 150

95. Power of lens with focal length 45 cm is:

1) 4.44 D

2) 1.11 D

3) 2.22 D

4) 2 D

96 / 150

96. Value of combination 13C5 is:

1) 1294

2) 65

3) 1287

4) 1280

97 / 150

97. Value of combination 12C3 is:

1) 227

2) 36

3) 213

4) 220

98 / 150

98. Oxidation number of N in NO3− is:

1) +5

2) +3

3) +7

4) -3

99 / 150

99. Teflon is a polymer of:

1) Vinyl chloride

2) Ethene

3) Tetrafluoroethylene

4) Styrene

100 / 150

100. Slope of velocity-time graph gives:

1) acceleration

2) velocity

3) displacement

4) jerk

101 / 150

101. Heat required to raise temperature of 100 g water by 10°C (c=4.2 J/g°C) is:

1) 1000 J

2) 2100 J

3) 4200 J

4) 8400 J

102 / 150

102. For the line y = 8x + 16, the x-intercept is:

1) 2

2) -2

3) -4

4) 0

103 / 150

103. Moles in 9 g of water (H2O) are:

1) 2

2) 0.5

3) 0.25

4) 1

104 / 150

104. If y = 3x^3 + 2x, then dy/dx at x=1 is:

1) 11

2) 9

3) 16

4) 6

105 / 150

105. pH of a 10^-2 M NaOH solution is approximately:

1) 12

2) 2

3) 13

4) 11

106 / 150

106. Work done by a constant force F over displacement s at angle θ is:

1) Fs cosθ

2) F/s

3) Fs

4) Fs sinθ

107 / 150

107. The substance that gets reduced acts as:

1) Reducing agent

2) Oxidizing agent

3) Solvent

4) Catalyst

108 / 150

108. Volume of cone with base radius 3 and height 4 is:

1) 16π

2) 24π

3) 12π

4) 36π

109 / 150

109. Simplify: (21^2 – 8^2)/(21-8) equals:

1) 168

2) 13

3) 29

4) 33

110 / 150

110. OH− is a/an:

1) Nucleophile

2) Inert gas

3) Electrophile

4) Radical

111 / 150

111. If A={1,3,5} and B={3,4}, then A ∪ B is:

1) {3}

2) {1,3,4,5}

3) {1,5}

4) { }

112 / 150

112. The magnitude of vector (5,9,6) is:

1) √144

2) 20

3) √140

4) √142

113 / 150

113. Work function is related to:

1) Nuclear fission

2) Refraction

3) Photoelectric emission

4) Sound waves

114 / 150

114. For a first order reaction with k=0.35 s^-1, half-life is approximately:

1) 0.99 s

2) 1.98 s

3) 3.96 s

4) 2.86 s

115 / 150

115. Evaluate: lim(x→5) (x²-25)/(x-5) equals:

1) 10

2) 5

3) 12

4) 25

116 / 150

116. pH of a 10^-6 M NaOH solution is approximately:

1) 9

2) 7

3) 6

4) 8

117 / 150

117. Equivalent resistance of 7 Ω and 6 Ω in parallel is:

1) 42 Ω

2) 7 Ω

3) 13 Ω

4) 42/13 Ω

118 / 150

118. For an aqueous solution of molality 0.20, boiling point elevation (Kb=0.52) is:

1) 0.520 K

2) 0.052 K

3) 0.208 K

4) 0.104 K

119 / 150

119. Modulus of z = -3 + 4i is:

1) 1

2) 4

3) 5

4) 3

120 / 150

120. Momentum of mass 5 kg moving at 14 m/s is:

1) 35.0 kg·m/s

2) 19 kg·m/s

3) 70 kg·m/s

4) 980 kg·m/s

121 / 150

121. Charge on a 8 μF capacitor at 20 V is:

1) 8 μC

2) 80.0 μC

3) 160 μC

4) 20 μC

122 / 150

122. Equation of line with slope 4 and intercept 3 is:

1) y = 4x – 3

2) x = 4y + 3

3) y = 4x + 3

4) y = 3x + 4

123 / 150

123. For a first order reaction with k=0.30 s^-1, half-life is approximately:

1) 4.62 s

2) 2.31 s

3) 3.33 s

4) 1.15 s

124 / 150

124. Ester formed by reaction of propanoic acid with methanol is:

1) Sodium salt

2) Aldehyde

3) Amide

4) methylylyl propylanoicate

125 / 150

125. Unit of rate constant for a 3 order reaction (in molarity units) is:

1) s^-1

2) mol L^-1 s^-1

3) L mol^-1 s^-1

4) L^2 mol^-2 s^-1

126 / 150

126. Midpoint of (2,4) and (6,10) is:

1) (3,7)

2) (4,7)

3) (5,7)

4) (4,6)

127 / 150

127. Freezing point depression for molality 0.25 (Kf=1.86) is:

1) 0.93 K

2) 0.47 K

3) 0.23 K

4) 1.86 K

128 / 150

128. A particle has u=12 m/s, a=1 m/s² for t=8 s. Find v:

1) 8 m/s

2) 23 m/s

3) 20 m/s

4) 96 m/s

129 / 150

129. Compute: ∫₀^4 (4x + 5) dx equals:

1) 21

2) 52

3) 36

4) 52

130 / 150

130. Equation of line with slope 4 and intercept 7 is:

1) y = 4x – 7

2) y = 4x + 7

3) x = 4y + 7

4) y = 7x + 4

131 / 150

131. Number of moles in 92 g of a substance (molar mass 92 g/mol) is:

1) 2

2) 92

3) 1

4) 0

132 / 150

132. Acceleration when force=35 N acts on mass=2 kg is:

1) 35.00 m/s²

2) 17.50 m/s²

3) 35.00 m/s²

4) 8.75 m/s²

133 / 150

133. Charge on a 10 μF capacitor at 10 V is:

1) 10 μC

2) 10 μC

3) 100 μC

4) 50.0 μC

134 / 150

134. For x²-5x+6=0, sum of roots is:

1) 5

2) 6

3) -6

4) -5

135 / 150

135. Power of lens with focal length 65 cm is:

1) 0.77 D

2) 1.54 D

3) 3.08 D

4) 2 D

136 / 150

136. Two dice are thrown. Probability that sum is 7 equals:

1) 1/3

2) 1/9

3) 1/12

4) 1/6

137 / 150

137. IUPAC name of straight-chain 4-carbon alcohol is:

1) Methanol

2) Ethanamine

3) Butanol

4) Ethanal

138 / 150

138. If α,β are roots of x² – 16x + 13 = 0, then αβ is:

1) 16

2) 14

3) 12

4) 13

139 / 150

139. Current through a 15 Ω resistor at 24 V is:

1) 15 A

2) 1 A

3) 24 A

4) 8/5 A

140 / 150

140. Transformer: Np=400, Ns=550, Vp=220 V. Find Vs:

1) 151 V

2) 605 V

3) 220 V

4) 302 V

141 / 150

141. Freezing point depression for molality 0.85 (Kf=1.86) is:

1) 1.86 K

2) 0.79 K

3) 3.16 K

4) 1.58 K

142 / 150

142. A body moves with u=5 m/s, a=2 m/s² for t=5 s. Distance covered is:

1) 25.0 m

2) 25.0 m

3) 10.0 m

4) 50.0 m

143 / 150

143. Momentum of mass 8 kg moving at 5 m/s is:

1) 40 kg·m/s

2) 200 kg·m/s

3) 13 kg·m/s

4) 20.0 kg·m/s

144 / 150

144. For the line y = 8x + 24, the x-intercept is:

1) 3

2) -1

3) -5

4) -3

145 / 150

145. Value of log₂(2^5) is:

1) 1

2) 4

3) 5

4) 6

146 / 150

146. If y = 5x^3 + 2x, then dy/dx at x=5 is:

1) 75

2) 377

3) 382

4) 372

147 / 150

147. Moles of solute in 400 mL of a 3 M solution are:

1) 6/5

2) 3

3) 400

4) 6

148 / 150

148. Simplify: (19^2 – 22^2)/(19-22) equals:

1) 41

2) 45

3) -3

4) 418

149 / 150

149. Charge on a 6 μF capacitor at 30 V is:

1) 90.0 μC

2) 30 μC

3) 6 μC

4) 180 μC

150 / 150

150. Charge passed when current 2 A flows for 300 s is:

1) 600 C

2) 180000 C

3) 302 C

4) 300 C

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