MHTCET B.TECH TYPE 1

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MHTCET B.TECH TYPE 1

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1 / 150

1. Evaluate: ∫₀¹ 2x^3 dx equals:

1) 1/3

2) 1/2

3) 2/3

4) 3/2

2 / 150

2. Antacids are used to:

1) cause sleep

2) kill viruses

3) neutralize excess stomach acid

4) increase acidity

3 / 150

3. A net force of 15 N acts on a 5 kg mass. Acceleration is:

1) 1 m/s²

2) 5 m/s²

3) 2 m/s²

4) 3 m/s²

4 / 150

4. A 4 μF capacitor is charged to 30 V. Charge stored is:

1) 60.0 μC

2) 30 μC

3) 4 μC

4) 120 μC

5 / 150

5. A 4 μF capacitor is charged to 20 V. Charge stored is:

1) 40.0 μC

2) 80 μC

3) 4 μC

4) 20 μC

6 / 150

6. Dot product of vectors (5,4) and (3,5) is:

1) 17

2) 35

3) 37

4) 32

7 / 150

7. A wave has frequency 50 Hz and wavelength 0.4 m. Speed is:

1) 10 m/s

2) 20 m/s

3) 125 m/s

4) 40 m/s

8 / 150

8. Analgesics are drugs used to:

1) Increase blood pressure

2) Induce sleep

3) Neutralize acids

4) Relieve pain

9 / 150

9. A catalyst increases rate by lowering:

1) Density

2) Activation energy

3) Temperature

4) Pressure

10 / 150

10. The work function is related to:

1) Interference

2) Photoelectric effect

3) Electrolysis

4) Refraction

11 / 150

11. In GP with first term 2 and common ratio 2, the 4th term is:

1) 16

2) 8

3) 8

4) 32

12 / 150

12. In an ideal transformer, primary turns = 500, secondary turns = 350. The ratio Vs/Vp equals:

1) 10/7

2) 500/350

3) 850/500

4) Vs/Vp = 7/10

13 / 150

13. Equation of the circle with centre (1, -2) and radius 4 is:

1) (x-1)^2+(y+2)^2=16

2) (x+2)^2+(y-1)^2=16

3) (x+1)^2+(y-2)^2=16

4) (x-1)^2+(y+2)^2=4

14 / 150

14. A fair die is thrown once. Probability of getting a prime number is:

1) 1/3

2) 1/6

3) 2/3

4) 1/2

15 / 150

15. A solution has 1 moles of solute in 2 L solution. Molarity is:

1) 0.50 M

2) 1.00 M

3) 2.00 M

4) 2.00 M

16 / 150

16. SI unit of specific heat capacity is:

1) J K⁻¹

2) J m⁻¹

3) J kg⁻¹ K⁻¹

4) kg J⁻¹ K⁻¹

17 / 150

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

1) 4

2) 0

3) 2

4) 4

18 / 150

18. SN1 reaction rate depends mainly on:

1) Concentration of substrate

2) Both equally

3) Concentration of nucleophile

4) Only temperature

19 / 150

19. NH3 acts as a ligand typically as:

1) Monodentate ligand

2) Anion only

3) Bidentate ligand

4) Metal

20 / 150

20. Distance between points (0,0,0) and (6,2,4) is:

1) √57

2) 12

3) √56

4) √55

21 / 150

21. Maximum electrons in shell n=2 is:

1) 2

2) 8

3) 32

4) 18

22 / 150

22. Time period of a wave of frequency 20 Hz is:

1) 0.10 s

2) 0.03 s

3) 20.00 s

4) 0.05 s

23 / 150

23. Evaluate: lim(x→0) (sin x)/x (x in radians).

1) 1

2) Does not exist

3) 0

4) ∞

24 / 150

24. SI unit of magnetic flux is:

1) Weber

2) Henry

3) Ampere

4) Tesla

25 / 150

25. If f(x)=2x+5, then f(-3) equals:

1) 11

2) -1

3) -6

4) -11

26 / 150

26. A catalyst increases rate by lowering:

1) Pressure

2) Activation energy

3) Temperature

4) Density

27 / 150

27. SN1 reaction rate depends mainly on:

1) Concentration of substrate

2) Both equally

3) Concentration of nucleophile

4) Only temperature

28 / 150

28. A wave has frequency 50 Hz and wavelength 0.6 m. Speed is:

1) 30 m/s

2) 83 m/s

3) 15 m/s

4) 60 m/s

29 / 150

29. If roots of x² – 9x + 20 = 0 are α and β, then αβ equals:

1) 20

2) 18

3) 22

4) 9

30 / 150

30. At the highest point of projectile motion, the vertical component of velocity is:

1) zero

2) negative infinity

3) equal to g

4) maximum

31 / 150

31. Analgesics are drugs used to:

1) Neutralize acids

2) Relieve pain

3) Increase blood pressure

4) Induce sleep

32 / 150

32. Time period of a wave of frequency 20 Hz is:

1) 0.03 s

2) 0.05 s

3) 0.10 s

4) 20.00 s

33 / 150

33. A solution has 1 moles of solute in 2 L solution. Molarity is:

1) 2.00 M

2) 1.00 M

3) 0.50 M

4) 2.00 M

34 / 150

34. Most electronegative element is:

1) Iodine

2) Bromine

3) Chlorine

4) Fluorine

35 / 150

35. If distance between two masses becomes 3 times, gravitational force becomes:

1) 9

2) 1/3

3) 1/9

4) 1/6

36 / 150

36. Most electronegative element is:

1) Fluorine

2) Iodine

3) Bromine

4) Chlorine

37 / 150

37. A solution has 3 moles of solute in 2 L solution. Molarity is:

1) 1.50 M

2) 3.00 M

3) 0.67 M

4) 6.00 M

38 / 150

38. The equation of a line with slope 3 and y-intercept -2 is:

1) y=-2x+3

2) 3y=x-2

3) y=3x-2

4) y=3x+2

39 / 150

39. SI unit of magnetic flux is:

1) Henry

2) Tesla

3) Weber

4) Ampere

40 / 150

40. If z = 3 + 4i, then |z| equals:

1) 5

2) 25

3) 7

4) 1

41 / 150

41. SN1 reaction rate depends mainly on:

1) Only temperature

2) Concentration of substrate

3) Concentration of nucleophile

4) Both equally

42 / 150

42. If y = x^4, then dy/dx at x=1 is:

1) 6

2) 8

3) 4

4) 2

43 / 150

43. A wave has frequency 50 Hz and wavelength 0.4 m. Speed is:

1) 40 m/s

2) 125 m/s

3) 20 m/s

4) 10 m/s

44 / 150

44. The work function is related to:

1) Refraction

2) Electrolysis

3) Interference

4) Photoelectric effect

45 / 150

45. NH3 acts as a ligand typically as:

1) Monodentate ligand

2) Bidentate ligand

3) Anion only

4) Metal

46 / 150

46. Analgesics are drugs used to:

1) Increase blood pressure

2) Relieve pain

3) Induce sleep

4) Neutralize acids

47 / 150

47. Order of a reaction is determined from:

1) Atomic numbers

2) Balanced equation

3) Molecular mass

4) Experimental rate law

48 / 150

48. Slope of line passing through (1,5) and (4,9) is:

1) 3

2) 4

3) 3/4

4) 4/3

49 / 150

49. Order of a reaction is determined from:

1) Molecular mass

2) Balanced equation

3) Experimental rate law

4) Atomic numbers

50 / 150

50. In GP with first term 3 and common ratio 2, the 5th term is:

1) 96

2) 48

3) 24

4) 15

51 / 150

51. Slope of line passing through (1,5) and (5,9) is:

1) 1

2) 1

3) 1

4) 1/1

52 / 150

52. A card is drawn from a standard deck. Probability that it is a heart is:

1) 1/2

2) 1/4

3) 4/13

4) 1/13

53 / 150

53. If y = x^4, then dy/dx at x=2 is:

1) 32

2) 30

3) 64

4) 34

54 / 150

54. Bakelite is a:

1) Thermosetting polymer

2) Natural polymer

3) Elastomer

4) Thermoplastic

55 / 150

55. For A = [[4,0],[1,5]], det(A) equals:

1) 21

2) 19

3) 20

4) 20

56 / 150

56. Tollens’ reagent gives silver mirror test with:

1) Ketones

2) Alkanes

3) Alkenes

4) Aldehydes

57 / 150

57. Most electronegative element is:

1) Bromine

2) Iodine

3) Chlorine

4) Fluorine

58 / 150

58. A voltage 30 V is applied across 6 Ω. Current is:

1) 6/30 A

2) 30 A

3) 6 A

4) 5 A

59 / 150

59. Dot product of vectors (5,2) and (3,5) is:

1) 15

2) 25

3) 27

4) 22

60 / 150

60. In GP with first term 4 and common ratio 2, the 6th term is:

1) 256

2) 64

3) 128

4) 24

61 / 150

61. If sinθ = 1/2 and θ is acute, then cosθ equals:

1) √2/2

2) 2/√3

3) 1/2

4) √3/2

62 / 150

62. Order of a reaction is determined from:

1) Molecular mass

2) Balanced equation

3) Experimental rate law

4) Atomic numbers

63 / 150

63. NH3 acts as a ligand typically as:

1) Bidentate ligand

2) Monodentate ligand

3) Anion only

4) Metal

64 / 150

64. Dot product of vectors (5,4) and (4,3) is:

1) 34

2) 29

3) 32

4) 16

65 / 150

65. Evaluate: ∫₀¹ 4x^5 dx equals:

1) 2/3

2) 2/4

3) 5/4

4) 4/5

66 / 150

66. Distance between points (0,0,0) and (2,2,4) is:

1) √25

2) √23

3) 8

4) √24

67 / 150

67. Analgesics are drugs used to:

1) Relieve pain

2) Induce sleep

3) Neutralize acids

4) Increase blood pressure

68 / 150

68. For A = [[4,1],[2,5]], det(A) equals:

1) 17

2) 18

3) 22

4) 19

69 / 150

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

1) 12

2) 6

3) 8

4) 4

70 / 150

70. Evaluate: ∫₀¹ 4x^5 dx equals:

1) 4/5

2) 2/4

3) 2/3

4) 5/4

71 / 150

71. A catalyst increases rate by lowering:

1) Activation energy

2) Density

3) Pressure

4) Temperature

72 / 150

72. A card is drawn from a standard deck. Probability that it is a heart is:

1) 4/13

2) 1/4

3) 1/13

4) 1/2

73 / 150

73. At constant pressure, V is directly proportional to T is:

1) Boyle law

2) Charles law

3) Dalton law

4) Graham law

74 / 150

74. In an ideal transformer, primary turns = 500, secondary turns = 250. The ratio Vs/Vp equals:

1) Vs/Vp = 1/2

2) 2/1

3) 500/250

4) 750/500

75 / 150

75. NH3 acts as a ligand typically as:

1) Metal

2) Monodentate ligand

3) Bidentate ligand

4) Anion only

76 / 150

76. Standard equation of a parabola opening to the right is:

1) x^2+y^2=r^2

2) x^2=4ay

3) y^2=4ax

4) x^2/a^2+y^2/b^2=1

77 / 150

77. A wave has frequency 50 Hz and wavelength 0.6 m. Speed is:

1) 30 m/s

2) 15 m/s

3) 83 m/s

4) 60 m/s

78 / 150

78. In a galvanic cell, oxidation occurs at:

1) Cathode

2) Electrolyte

3) Anode

4) Salt bridge

79 / 150

79. For a convex lens of focal length 20 cm, if object is placed at 40 cm, image distance is:

1) 20.0 cm

2) 20 cm

3) 40 cm

4) 40 cm

80 / 150

80. Evaluate: ∫₀¹ 2x^3 dx equals:

1) 3/2

2) 2/3

3) 1/2

4) 1/3

81 / 150

81. Electric field at distance 0.4 m from a point charge 2e-06 C (k=9×10⁹) is approximately:

1) 1.12e+06 N/C

2) 2.25e+05 N/C

3) 1.12e+05 N/C

4) 5.62e+04 N/C

82 / 150

82. Avogadro number is approximately:

1) 1.6×10^-19

2) 6.022×10^23

3) 9.8

4) 3×10^8

83 / 150

83. In a galvanic cell, oxidation occurs at:

1) Salt bridge

2) Anode

3) Cathode

4) Electrolyte

84 / 150

84. The work function is related to:

1) Photoelectric effect

2) Electrolysis

3) Refraction

4) Interference

85 / 150

85. Number of ways to choose 2 objects from 7 distinct objects is:

1) 14

2) 21

3) 35

4) 28

86 / 150

86. A card is drawn from a standard deck. Probability that it is a heart is:

1) 1/2

2) 1/13

3) 1/4

4) 4/13

87 / 150

87. Which is an alkali metal?

1) Na

2) Mg

3) Cl

4) Al

88 / 150

88. Electric field at distance 0.2 m from a point charge 2e-06 C (k=9×10⁹) is approximately:

1) 4.50e+05 N/C

2) 2.25e+05 N/C

3) 4.50e+06 N/C

4) 9.00e+05 N/C

89 / 150

89. A function differentiable at a point must be:

1) continuous at that point

2) constant near that point

3) discontinuous at that point

4) periodic at that point

90 / 150

90. In an ideal transformer, primary turns = 500, secondary turns = 450. The ratio Vs/Vp equals:

1) 10/9

2) 950/500

3) Vs/Vp = 9/10

4) 500/450

91 / 150

91. In an ideal transformer, primary turns = 500, secondary turns = 450. The ratio Vs/Vp equals:

1) Vs/Vp = 9/10

2) 500/450

3) 950/500

4) 10/9

92 / 150

92. If value 200 has absolute error ±4, percentage error is:

1) 1%

2) 0.5%

3) 2%

4) 4%

93 / 150

93. For A = [[4,0],[1,5]], det(A) equals:

1) 20

2) 19

3) 20

4) 21

94 / 150

94. Functional isomerism means:

1) same formula, same structure

2) same formula, different functional group

3) different formula

4) same chain, different position

95 / 150

95. A 4 μF capacitor is charged to 10 V. Charge stored is:

1) 10 μC

2) 4 μC

3) 40 μC

4) 20.0 μC

96 / 150

96. Tollens’ reagent gives silver mirror test with:

1) Aldehydes

2) Ketones

3) Alkenes

4) Alkanes

97 / 150

97. Image formed by plane mirror is:

1) virtual & erect

2) real & erect

3) real & inverted

4) virtual & inverted

98 / 150

98. Value of log₁₀(10^15) is:

1) 5

2) 15

3) 16

4) 14

99 / 150

99. For a convex lens of focal length 30 cm, if object is placed at 60 cm, image distance is:

1) 30 cm

2) 30.0 cm

3) 60 cm

4) 60 cm

100 / 150

100. Bakelite is a:

1) Thermosetting polymer

2) Thermoplastic

3) Natural polymer

4) Elastomer

101 / 150

101. For a convex lens of focal length 10 cm, if object is placed at 20 cm, image distance is:

1) 20 cm

2) 20 cm

3) 10 cm

4) 10.0 cm

102 / 150

102. If roots of x² – 11x + 28 = 0 are α and β, then αβ equals:

1) 26

2) 30

3) 11

4) 28

103 / 150

103. If roots of x² – 9x + 20 = 0 are α and β, then αβ equals:

1) 22

2) 20

3) 18

4) 9

104 / 150

104. The work function is related to:

1) Electrolysis

2) Interference

3) Photoelectric effect

4) Refraction

105 / 150

105. Distance between points (0,0,0) and (4,2,6) is:

1) √57

2) √55

3) √56

4) 12

106 / 150

106. SN1 reaction rate depends mainly on:

1) Only temperature

2) Both equally

3) Concentration of nucleophile

4) Concentration of substrate

107 / 150

107. Value of log₁₀(10^9) is:

1) 10

2) 3

3) 8

4) 9

108 / 150

108. Resistors 8 Ω and 6 Ω are connected in parallel. Equivalent resistance is:

1) 8 Ω

2) 24/7 Ω

3) 14 Ω

4) 6 Ω

109 / 150

109. Resistors 4 Ω and 6 Ω are connected in parallel. Equivalent resistance is:

1) 10 Ω

2) 12/5 Ω

3) 4 Ω

4) 6 Ω

110 / 150

110. A voltage 30 V is applied across 8 Ω. Current is:

1) 8 A

2) 8/30 A

3) 15/4 A

4) 30 A

111 / 150

111. A voltage 30 V is applied across 6 Ω. Current is:

1) 30 A

2) 5 A

3) 6/30 A

4) 6 A

112 / 150

112. If two perpendicular vectors have magnitudes 6 and 8, resultant magnitude is:

1) 10

2) 12

3) 2

4) 14

113 / 150

113. Electric field at distance 0.2 m from a point charge 4e-06 C (k=9×10⁹) is approximately:

1) 4.50e+05 N/C

2) 9.00e+06 N/C

3) 9.00e+05 N/C

4) 1.80e+06 N/C

114 / 150

114. Tollens’ reagent gives silver mirror test with:

1) Ketones

2) Alkanes

3) Alkenes

4) Aldehydes

115 / 150

115. If roots of x² – 11x + 28 = 0 are α and β, then αβ equals:

1) 26

2) 30

3) 28

4) 11

116 / 150

116. Bakelite is a:

1) Natural polymer

2) Thermoplastic

3) Elastomer

4) Thermosetting polymer

117 / 150

117. A 4 μF capacitor is charged to 20 V. Charge stored is:

1) 4 μC

2) 20 μC

3) 80 μC

4) 40.0 μC

118 / 150

118. Time period of a wave of frequency 20 Hz is:

1) 0.05 s

2) 0.10 s

3) 0.03 s

4) 20.00 s

119 / 150

119. If both charges are doubled, force between them becomes:

1) 8F

2) 2F

3) F

4) 4F

120 / 150

120. Order of a reaction is determined from:

1) Atomic numbers

2) Balanced equation

3) Experimental rate law

4) Molecular mass

121 / 150

121. SI unit of magnetic flux is:

1) Tesla

2) Henry

3) Weber

4) Ampere

122 / 150

122. A diode conducts mainly in:

1) reverse bias

2) both equally

3) neither

4) forward bias

123 / 150

123. Value of log₁₀(10^9) is:

1) 9

2) 10

3) 8

4) 3

124 / 150

124. Speed of sound is highest in:

1) liquids

2) gases

3) vacuum

4) solids

125 / 150

125. Resistors 4 Ω and 6 Ω are connected in parallel. Equivalent resistance is:

1) 10 Ω

2) 12/5 Ω

3) 4 Ω

4) 6 Ω

126 / 150

126. Value of log₁₀(10^15) is:

1) 14

2) 15

3) 16

4) 5

127 / 150

127. Electric field at distance 0.6 m from a point charge 4e-06 C (k=9×10⁹) is approximately:

1) 5.00e+04 N/C

2) 1.00e+06 N/C

3) 1.00e+05 N/C

4) 2.00e+05 N/C

128 / 150

128. Bakelite is a:

1) Thermoplastic

2) Elastomer

3) Thermosetting polymer

4) Natural polymer

129 / 150

129. Distance between points (0,0,0) and (6,2,6) is:

1) √75

2) √77

3) √76

4) 14

130 / 150

130. Tollens’ reagent gives silver mirror test with:

1) Ketones

2) Alkanes

3) Aldehydes

4) Alkenes

131 / 150

131. Which compound has ionic bond?

1) CO2

2) NaCl

3) H2O

4) CH4

132 / 150

132. A voltage 30 V is applied across 10 Ω. Current is:

1) 10 A

2) 30 A

3) 3 A

4) 10/30 A

133 / 150

133. Slope of line passing through (1,3) and (4,9) is:

1) 2

2) 1

3) 1/2

4) 2

134 / 150

134. Dot product of vectors (5,2) and (2,1) is:

1) 9

2) 14

3) 10

4) 12

135 / 150

135. Tyndall effect is shown by:

1) pure water only

2) solid crystal

3) true solution

4) colloid

136 / 150

136. Time period of a wave of frequency 20 Hz is:

1) 20.00 s

2) 0.10 s

3) 0.03 s

4) 0.05 s

137 / 150

137. For a convex lens of focal length 20 cm, if object is placed at 40 cm, image distance is:

1) 20.0 cm

2) 40 cm

3) 40 cm

4) 20 cm

138 / 150

138. In a galvanic cell, oxidation occurs at:

1) Anode

2) Cathode

3) Electrolyte

4) Salt bridge

139 / 150

139. In a galvanic cell, oxidation occurs at:

1) Anode

2) Cathode

3) Electrolyte

4) Salt bridge

140 / 150

140. Most electronegative element is:

1) Iodine

2) Fluorine

3) Bromine

4) Chlorine

141 / 150

141. A solution has 3 moles of solute in 2 L solution. Molarity is:

1) 6.00 M

2) 1.50 M

3) 0.67 M

4) 3.00 M

142 / 150

142. In GP with first term 4 and common ratio 2, the 6th term is:

1) 256

2) 24

3) 64

4) 128

143 / 150

143. For A = [[4,2],[0,5]], det(A) equals:

1) 20

2) 21

3) 19

4) 20

144 / 150

144. Oxidation number of oxygen in H2O2 is:

1) 0

2) +2

3) -1

4) -2

145 / 150

145. A catalyst increases rate by lowering:

1) Temperature

2) Density

3) Activation energy

4) Pressure

146 / 150

146. SI unit of magnetic flux is:

1) Henry

2) Weber

3) Tesla

4) Ampere

147 / 150

147. Resistors 6 Ω and 6 Ω are connected in parallel. Equivalent resistance is:

1) 6 Ω

2) 12 Ω

3) 3 Ω

4) 6 Ω

148 / 150

148. C2H4 is:

1) arene

2) alkyne

3) alkane

4) alkene

149 / 150

149. A card is drawn from a standard deck. Probability that it is a heart is:

1) 1/2

2) 1/13

3) 1/4

4) 4/13

150 / 150

150. Slope of line passing through (1,3) and (6,9) is:

1) 6

2) 5/6

3) 6/5

4) 5

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