MHTCET B.TECH TYPE 3

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MHTCET B.TECH TYPE 3

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1 / 150

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

1) 9

2) 81

3) 18

4) 20

2 / 150

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

1) 7 Ω

2) 84/19 Ω

3) 84 Ω

4) 19 Ω

3 / 150

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

1) 3.96 s

2) 2.86 s

3) 1.98 s

4) 0.99 s

4 / 150

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

1) 24

2) 48

3) 18

4) 12

5 / 150

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

1) 0

2) 2

3) 1/2

4) 1

6 / 150

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

1) 3

2) 2

3) 92

4) 4

7 / 150

7. Value of sin 30° is:

1) 0

2) 1/2

3) √3/2

4) 1

8 / 150

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

1) 200 kg·m/s

2) 13 kg·m/s

3) 40 kg·m/s

4) 20.0 kg·m/s

9 / 150

9. Dimensional formula of energy is:

1) ML^2T^-2

2) ML^-1T^-2

3) MLT^-2

4) M^0L^0T^0

10 / 150

10. Work function is related to:

1) Photoelectric emission

2) Sound waves

3) Refraction

4) Nuclear fission

11 / 150

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

1) amplitude

2) speed

3) frequency

4) wavelength

12 / 150

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

1) 64

2) 22

3) 20

4) 24

13 / 150

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

1) y = 4x – 7

2) y = 4x + 7

3) y = 7x + 4

4) x = 4y + 7

14 / 150

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

1) 2

2) 4

3) 6

4) 4

15 / 150

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

1) 3 m/s

2) 12 m/s

3) 27 m/s

4) 15 m/s

16 / 150

16. 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) 1.10

3) 27.06

4) 54.12

17 / 150

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

1) 3.33 s

2) 4.62 s

3) 2.31 s

4) 1.15 s

18 / 150

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

1) 1.70

2) 83.64

3) 41.82

4) 20.91

19 / 150

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

1) 10 μC

2) 50.0 μC

3) 10 μC

4) 100 μC

20 / 150

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

1) 58.8 m

2) 25.0 m

3) 117.5 m

4) 55.0 m

21 / 150

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

1) 24π

2) 12π

3) 16π

4) 36π

22 / 150

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

1) 3

2) -3

3) -5

4) -1

23 / 150

23. Examples of colloids include:

1) Salt solution

2) Milk

3) Sugar solution

4) Air-free water

24 / 150

24. Value of log₂(2^6) is:

1) 6

2) 7

3) 5

4) 1

25 / 150

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

1) 532

2) 522

3) 105

4) 527

26 / 150

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

1) 1.86 K

2) 0.23 K

3) 0.47 K

4) 0.93 K

27 / 150

27. Lenz’s law gives direction of:

1) Induced current

2) Electric field

3) Resistance

4) Magnetic pole

28 / 150

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

1) Ethanal

2) Butanol

3) Methanol

4) Ethanamine

29 / 150

29. Value of log₂(2^10) is:

1) 1

2) 9

3) 11

4) 10

30 / 150

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

1) 7 Ω

2) 42/13 Ω

3) 42 Ω

4) 13 Ω

31 / 150

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

1) 4

2) 8

3) 24

4) 12

32 / 150

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

1) 9

2) 7

3) 8

4) 6

33 / 150

33. Teflon is a polymer of:

1) Styrene

2) Vinyl chloride

3) Tetrafluoroethylene

4) Ethene

34 / 150

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

1) 1.86 K

2) 0.79 K

3) 1.58 K

4) 3.16 K

35 / 150

35. In SHM, maximum speed occurs at:

1) Extreme position

2) Any position

3) Mean position

4) Depends on mass

36 / 150

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

1) 8.75 m/s²

2) 35.00 m/s²

3) 17.50 m/s²

4) 35.00 m/s²

37 / 150

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

1) 1 A

2) 24 A

3) 8/3 A

4) 9 A

38 / 150

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

1) 14

2) 49

3) 16

4) 7

39 / 150

39. In PV=nRT, R is called:

1) rate constant

2) universal potential

3) gas constant

4) equilibrium constant

40 / 150

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

1) 2.05 K

2) 1.02 K

3) 1.86 K

4) 0.51 K

41 / 150

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

1) 140 g

2) 28 g

3) 56 g

4) 112 g

42 / 150

42. SI unit of electric charge is:

1) Ohm

2) Ampere

3) Coulomb

4) Volt

43 / 150

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

1) 220 V

2) 990 V

3) 495 V

4) 248 V

44 / 150

44. Value of combination 17C2 is:

1) 34

2) 143

3) 136

4) 129

45 / 150

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

1) R only

2) Area only

3) Temperature only

4) I (at constant temperature)

46 / 150

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

1) 42

2) 11

3) 13

4) 12

47 / 150

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

1) y = 4x – 5

2) y = 5x + 4

3) y = 4x + 5

4) x = 4y + 5

48 / 150

48. Slope of velocity-time graph gives:

1) velocity

2) displacement

3) acceleration

4) jerk

49 / 150

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

1) Aldehyde

2) Amide

3) methylylyl propylanoicate

4) Sodium salt

50 / 150

50. 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

51 / 150

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

1) 1749600 C

2) 1620 C

3) 546 C

4) 3240 C

52 / 150

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

1) 41

2) 418

3) 45

4) -3

53 / 150

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

1) 4.00 s

2) 1.39 s

3) 2.77 s

4) 5.54 s

54 / 150

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

1) 6/5

2) 3

3) 400

4) 6

55 / 150

55. Number of protons in nucleus equals:

1) binding energy

2) mass number

3) neutron number

4) atomic number

56 / 150

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

1) 14

2) 14

3) 13

4) 15

57 / 150

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

1) 372

2) 75

3) 382

4) 377

58 / 150

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

1) 2100 J

2) 8400 J

3) 4200 J

4) 1000 J

59 / 150

59. Unit of electric potential is:

1) T

2) C

3) V

4) N/C

60 / 150

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

1) 24 A

2) 12 A

3) 2 A

4) 1 A

61 / 150

61. Time period of simple pendulum depends on:

1) length

2) mass

3) colour

4) amplitude only

62 / 150

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

1) 10

2) 4

3) 11

4) 9

63 / 150

63. General formula of alkenes is:

1) CnH2n-2

2) CnHn

3) CnH2n+2

4) CnH2n

64 / 150

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

1) 45

2) 37

3) 41

4) 71

65 / 150

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

1) 38

2) 30

3) 34

4) 70

66 / 150

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

1) Undefined

2) Zero

3) Positive

4) Negative

67 / 150

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

1) propylyl propylanoicate

2) Amide

3) Sodium salt

4) Aldehyde

68 / 150

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

1) 12

2) 13

3) 14

4) 16

69 / 150

69. Oxidation number of N in NO3− is:

1) -3

2) +7

3) +5

4) +3

70 / 150

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

1) Resonance only

2) Common ion effect

3) Hydrogen bonding

4) Nuclear effect

71 / 150

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

1) 70 kg·m/s

2) 35.0 kg·m/s

3) 19 kg·m/s

4) 980 kg·m/s

72 / 150

72. Value of combination 18C4 is:

1) 3053

2) 3067

3) 3060

4) 72

73 / 150

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

1) 13 Ω

2) 208 Ω

3) 29 Ω

4) 16 Ω

74 / 150

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

1) 30 μC

2) 6 μC

3) 90.0 μC

4) 180 μC

75 / 150

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

1) 24 kg·m/s

2) 144 kg·m/s

3) 12.0 kg·m/s

4) 10 kg·m/s

76 / 150

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

1) y = 4x – 3

2) y = 4x + 3

3) x = 4y + 3

4) y = 3x + 4

77 / 150

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

1) 3.64 D

2) 2 D

3) 0.91 D

4) 1.82 D

78 / 150

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

1) {3}

2) {1,5}

3) { }

4) {1,3,4,5}

79 / 150

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

1) 20

2) 54

3) 50

4) 525

80 / 150

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

1) 3

2) 4

3) 1

4) 5

81 / 150

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

1) 840 C

2) 1680 C

3) 424 C

4) 705600 C

82 / 150

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

1) 18.00 m/s²

2) 9.00 m/s²

3) 4.50 m/s²

4) 45.00 m/s²

83 / 150

83. Resistivity is a property of:

1) Shape

2) Length only

3) Current only

4) Material

84 / 150

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

1) 0

2) 2

3) 1

4) 92

85 / 150

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

1) 50.0 m

2) 25.0 m

3) 10.0 m

4) 25.0 m

86 / 150

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

1) 0.5

2) 1

3) 2

4) 0.25

87 / 150

87. Bond in MgO is predominantly:

1) Covalent

2) Ionic

3) Metallic

4) Hydrogen

88 / 150

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

1) 0.520 K

2) 0.208 K

3) 0.104 K

4) 0.052 K

89 / 150

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

1) 30

2) 44

3) 26

4) 22

90 / 150

90. A voltmeter is connected in:

1) Either way

2) Series

3) Not connected

4) Parallel

91 / 150

91. Compute: ∫₀^4 (2x + 4) dx equals:

1) 24

2) 12

3) 32

4) 32

92 / 150

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

1) 49 Ω

2) 7 Ω

3) 14 Ω

4) 7 Ω

93 / 150

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

1) √124

2) 18

3) √120

4) √122

94 / 150

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

1) 240.00 m/s

2) 30.00 m/s

3) 15.00 m/s

4) 7.50 m/s

95 / 150

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

1) 13 Ω

2) 91 Ω

3) 20 Ω

4) 7 Ω

96 / 150

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

1) 17.50 m/s

2) 35.00 m/s

3) 285.71 m/s

4) 70.00 m/s

97 / 150

97. 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) 24.60

4) 12.30

98 / 150

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

1) 55.00 m/s²

2) 55.00 m/s²

3) 27.50 m/s²

4) 13.75 m/s²

99 / 150

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

1) 16

2) 9

3) 6

4) 11

100 / 150

100. Gravitational potential energy near Earth is:

1) m/g

2) mgh

3) mg/h

4) gh/m

101 / 150

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

1) 1/12

2) 1/3

3) 1/6

4) 1/9

102 / 150

102. Value of combination 13C5 is:

1) 1280

2) 1287

3) 65

4) 1294

103 / 150

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

1) 222

2) 45

3) 232

4) 227

104 / 150

104. Value of combination 12C3 is:

1) 227

2) 220

3) 213

4) 36

105 / 150

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

1) 7

2) 0

3) 1

4) 2

106 / 150

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

1) 55 m/s

2) 52 m/s

3) 144 m/s

4) 36 m/s

107 / 150

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

1) 10

2) 25

3) 12

4) 5

108 / 150

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

1) 266.67 m/s

2) 48.00 m/s

3) 24.00 m/s

4) 12.00 m/s

109 / 150

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

1) 140.0 m

2) 65.0 m

3) 30.0 m

4) 70.0 m

110 / 150

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

1) 144 g

2) 96 g

3) 48 g

4) 48 g

111 / 150

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

1) 8 m/s

2) 96 m/s

3) 23 m/s

4) 20 m/s

112 / 150

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

1) 19

2) √153

3) √151

4) √155

113 / 150

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

1) 0.520 K

2) 0.078 K

3) 0.312 K

4) 0.156 K

114 / 150

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

1) 27

2) 39

3) 31

4) 35

115 / 150

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

1) F/s

2) Fs sinθ

3) Fs

4) Fs cosθ

116 / 150

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

1) mol L^-1

2) L mol^-1 s^-1

3) mol L^-1 s^-1

4) s^-1

117 / 150

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

1) 0

2) -2

3) 2

4) -4

118 / 150

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

1) 75600 J

2) 9000 J

3) 37800 J

4) 18900 J

119 / 150

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

1) -5

2) 5

3) -3

4) -7

120 / 150

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

1) 220 V

2) 733 V

3) 183 V

4) 367 V

121 / 150

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

1) (3,7)

2) (5,7)

3) (4,6)

4) (4,7)

122 / 150

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

1) 21

2) 10

3) 19

4) 20

123 / 150

123. Hybridization of the central atom in C2H2 is:

1) sp

2) sp

3) sp3

4) sp2

124 / 150

124. If log₁₀x = 2, then x is:

1) 100

2) 10

3) 20

4) 200

125 / 150

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

1) L mol^-1 s^-1

2) mol L^-1 s^-1

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

4) s^-1

126 / 150

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

1) 0.520 K

2) 0.208 K

3) 0.104 K

4) 0.416 K

127 / 150

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

1) 302 V

2) 605 V

3) 151 V

4) 220 V

128 / 150

128. Absolute zero equals:

1) -100°C

2) -273.15°C

3) 273.15°C

4) 0°C

129 / 150

129. OH− is a/an:

1) Inert gas

2) Electrophile

3) Nucleophile

4) Radical

130 / 150

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

1) 80.0 μC

2) 8 μC

3) 160 μC

4) 20 μC

131 / 150

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

1) 8/5 A

2) 15 A

3) 1 A

4) 24 A

132 / 150

132. Compute: ∫₀^5 (6x + 6) dx equals:

1) 105

2) 105

3) 36

4) 60

133 / 150

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

1) 29

2) 168

3) 33

4) 13

134 / 150

134. Group 16 elements are called:

1) Chalcogens

2) Alkali metals

3) Halogens

4) Noble gases

135 / 150

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

1) 13 Ω

2) 195/28 Ω

3) 195 Ω

4) 28 Ω

136 / 150

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

1) 0.77 D

2) 2 D

3) 3.08 D

4) 1.54 D

137 / 150

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

1) 2.22 D

2) 4.44 D

3) 1.11 D

4) 2 D

138 / 150

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

1) 476 g

2) 204 g

3) 68 g

4) 408 g

139 / 150

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

1) 18

2) 17

3) 52

4) 35

140 / 150

140. Value of log₂(2^5) is:

1) 4

2) 1

3) 6

4) 5

141 / 150

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

1) 1.12 V

2) 1.09 V

3) 1.15 V

4) 1.15 V

142 / 150

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

1) 52

2) 21

3) 52

4) 36

143 / 150

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

1) 11

2) 2

3) 13

4) 12

144 / 150

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

1) √140

2) 20

3) √144

4) √142

145 / 150

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

1) 16800 J

2) 8400 J

3) 33600 J

4) 4000 J

146 / 150

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

1) 600 C

2) 302 C

3) 300 C

4) 180000 C

147 / 150

147. Frictional force acts:

1) in zero direction

2) opposite relative motion

3) along applied force

4) perpendicular always

148 / 150

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

1) 30°

2) 60°

3) 45°

4) 90°

149 / 150

149. The substance that gets reduced acts as:

1) Reducing agent

2) Oxidizing agent

3) Catalyst

4) Solvent

150 / 150

150. For x²-5x+6=0, sum of roots is:

1) -5

2) 5

3) 6

4) -6

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