MHTCET B.TECH TYPE 3

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Timer Started ✅ (MHT-CET PCM Practice Test)
Total Duration: 180 Minutes (3 Hours) CET Cell+1
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MHTCET B.TECH TYPE 3

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

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

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3. Time period of simple pendulum depends on:

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

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

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

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

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

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

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10. Resistivity is a property of:

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11. Absolute zero equals:

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12. Value of combination 13C5 is:

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

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14. Compute: ∫₀^4 (2x + 4) dx equals:

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

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

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

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

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

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

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

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

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

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

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

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

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27. Examples of colloids include:

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

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

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

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31. Dimensional formula of energy is:

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

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33. Number of protons in nucleus equals:

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

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

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

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

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38. Value of log₂(2^10) is:

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

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

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

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

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

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

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45. Value of combination 12C3 is:

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

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

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

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

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

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

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52. Oxidation number of N in NO3− is:

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53. Lenz’s law gives direction of:

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54. Value of log₂(2^6) is:

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

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

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

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

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

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

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61. In SHM, maximum speed occurs at:

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

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63. Value of log₂(2^5) is:

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

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65. If log₁₀x = 2, then x is:

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

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

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

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

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

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71. Unit of electric potential is:

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

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

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

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

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76. Gravitational potential energy near Earth is:

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

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78. Hybridization of the central atom in C2H2 is:

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79. Compute: ∫₀^5 (6x + 6) dx equals:

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

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

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

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83. Teflon is a polymer of:

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84. Value of combination 17C2 is:

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

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

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

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

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

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90. SI unit of electric charge is:

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91. Frictional force acts:

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

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

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

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95. General formula of alkenes is:

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96. Group 16 elements are called:

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

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

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99. Slope of velocity-time graph gives:

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

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101. The substance that gets reduced acts as:

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

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

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

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

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

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

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108. A voltmeter is connected in:

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

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

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

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

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

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

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

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

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

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

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119. Value of sin 30° is:

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

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121. OH− is a/an:

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

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123. Value of combination 18C4 is:

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

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

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

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

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128. For x²-5x+6=0, sum of roots is:

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

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

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

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

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

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

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

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

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137. In PV=nRT, R is called:

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

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139. Bond in MgO is predominantly:

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140. Work function is related to:

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

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

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

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

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

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

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

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

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

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

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