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) 3/2

3) 1/2

4) 2/3

2 / 150

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

1) 1/6

2) 1/3

3) 1/9

4) 9

3 / 150

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

1) 8 A

2) 30 A

3) 15/4 A

4) 8/30 A

4 / 150

4. NH3 acts as a ligand typically as:

1) Bidentate ligand

2) Monodentate ligand

3) Metal

4) Anion only

5 / 150

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

1) 0.10 s

2) 0.05 s

3) 20.00 s

4) 0.03 s

6 / 150

6. A catalyst increases rate by lowering:

1) Density

2) Pressure

3) Activation energy

4) Temperature

7 / 150

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

1) 40 cm

2) 40 cm

3) 20 cm

4) 20.0 cm

8 / 150

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

1) 9

2) 22

3) 18

4) 20

9 / 150

9. Tollens’ reagent gives silver mirror test with:

1) Alkenes

2) Aldehydes

3) Alkanes

4) Ketones

10 / 150

10. Bakelite is a:

1) Thermosetting polymer

2) Natural polymer

3) Elastomer

4) Thermoplastic

11 / 150

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

1) 60 cm

2) 60 cm

3) 30.0 cm

4) 30 cm

12 / 150

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

1) 0.67 M

2) 1.50 M

3) 3.00 M

4) 6.00 M

13 / 150

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

1) 8

2) 4

3) 2

4) 6

14 / 150

14. The work function is related to:

1) Electrolysis

2) Refraction

3) Interference

4) Photoelectric effect

15 / 150

15. In a galvanic cell, oxidation occurs at:

1) Cathode

2) Salt bridge

3) Anode

4) Electrolyte

16 / 150

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

1) 22

2) 17

3) 18

4) 19

17 / 150

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

1) Dalton law

2) Boyle law

3) Graham law

4) Charles law

18 / 150

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

1) 0.10 s

2) 0.05 s

3) 0.03 s

4) 20.00 s

19 / 150

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

1) 21

2) 28

3) 35

4) 14

20 / 150

20. SN1 reaction rate depends mainly on:

1) Concentration of substrate

2) Both equally

3) Only temperature

4) Concentration of nucleophile

21 / 150

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

1) 21

2) 20

3) 19

4) 20

22 / 150

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

1) 12

2) √57

3) √55

4) √56

23 / 150

23. In a galvanic cell, oxidation occurs at:

1) Salt bridge

2) Anode

3) Electrolyte

4) Cathode

24 / 150

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

1) 4

2) 6

3) 8

4) 12

25 / 150

25. NH3 acts as a ligand typically as:

1) Bidentate ligand

2) Anion only

3) Metal

4) Monodentate ligand

26 / 150

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

1) -6

2) -11

3) 11

4) -1

27 / 150

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

1) 1 m/s²

2) 2 m/s²

3) 5 m/s²

4) 3 m/s²

28 / 150

28. Analgesics are drugs used to:

1) Neutralize acids

2) Induce sleep

3) Relieve pain

4) Increase blood pressure

29 / 150

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

1) 6

2) 5/6

3) 6/5

4) 5

30 / 150

30. Image formed by plane mirror is:

1) real & inverted

2) virtual & inverted

3) real & erect

4) virtual & erect

31 / 150

31. Antacids are used to:

1) kill viruses

2) increase acidity

3) cause sleep

4) neutralize excess stomach acid

32 / 150

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

1) 0

2) 4

3) 4

4) 2

33 / 150

33. A catalyst increases rate by lowering:

1) Pressure

2) Activation energy

3) Density

4) Temperature

34 / 150

34. 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

35 / 150

35. Order of a reaction is determined from:

1) Atomic numbers

2) Molecular mass

3) Experimental rate law

4) Balanced equation

36 / 150

36. Evaluate: ∫₀¹ 4x^5 dx equals:

1) 5/4

2) 4/5

3) 2/3

4) 2/4

37 / 150

37. NH3 acts as a ligand typically as:

1) Anion only

2) Monodentate ligand

3) Bidentate ligand

4) Metal

38 / 150

38. Tollens’ reagent gives silver mirror test with:

1) Alkanes

2) Alkenes

3) Aldehydes

4) Ketones

39 / 150

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

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

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

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

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

40 / 150

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

1) 1

2) 0

3) ∞

4) Does not exist

41 / 150

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

1) √75

2) 14

3) √77

4) √76

42 / 150

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

1) 10 Ω

2) 4 Ω

3) 12/5 Ω

4) 6 Ω

43 / 150

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

1) 1/4

2) 1/13

3) 4/13

4) 1/2

44 / 150

44. A catalyst increases rate by lowering:

1) Density

2) Temperature

3) Activation energy

4) Pressure

45 / 150

45. SN1 reaction rate depends mainly on:

1) Both equally

2) Concentration of nucleophile

3) Only temperature

4) Concentration of substrate

46 / 150

46. Maximum electrons in shell n=2 is:

1) 32

2) 18

3) 2

4) 8

47 / 150

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

1) 32

2) 34

3) 64

4) 30

48 / 150

48. Bakelite is a:

1) Thermoplastic

2) Elastomer

3) Natural polymer

4) Thermosetting polymer

49 / 150

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

1) 2.00 M

2) 0.50 M

3) 2.00 M

4) 1.00 M

50 / 150

50. SN1 reaction rate depends mainly on:

1) Only temperature

2) Concentration of substrate

3) Concentration of nucleophile

4) Both equally

51 / 150

51. Evaluate: ∫₀¹ 4x^5 dx equals:

1) 2/4

2) 5/4

3) 2/3

4) 4/5

52 / 150

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

1) 3 A

2) 10 A

3) 10/30 A

4) 30 A

53 / 150

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

1) 4/13

2) 1/2

3) 1/4

4) 1/13

54 / 150

54. Tyndall effect is shown by:

1) true solution

2) solid crystal

3) pure water only

4) colloid

55 / 150

55. Bakelite is a:

1) Thermosetting polymer

2) Natural polymer

3) Thermoplastic

4) Elastomer

56 / 150

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

1) 1

2) 25

3) 7

4) 5

57 / 150

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

1) √2/2

2) √3/2

3) 2/√3

4) 1/2

58 / 150

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

1) 10 m/s

2) 20 m/s

3) 40 m/s

4) 125 m/s

59 / 150

59. 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) 10.0 cm

4) 10 cm

60 / 150

60. Tollens’ reagent gives silver mirror test with:

1) Alkenes

2) Ketones

3) Alkanes

4) Aldehydes

61 / 150

61. Order of a reaction is determined from:

1) Atomic numbers

2) Molecular mass

3) Experimental rate law

4) Balanced equation

62 / 150

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

1) zero

2) maximum

3) equal to g

4) negative infinity

63 / 150

63. The work function is related to:

1) Interference

2) Refraction

3) Photoelectric effect

4) Electrolysis

64 / 150

64. Which compound has ionic bond?

1) H2O

2) NaCl

3) CO2

4) CH4

65 / 150

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

1) 256

2) 64

3) 128

4) 24

66 / 150

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

1) 2.25e+05 N/C

2) 9.00e+05 N/C

3) 4.50e+06 N/C

4) 4.50e+05 N/C

67 / 150

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

1) 0.67 M

2) 6.00 M

3) 1.50 M

4) 3.00 M

68 / 150

68. 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) 20 cm

4) 40 cm

69 / 150

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

1) 24

2) 48

3) 15

4) 96

70 / 150

70. Most electronegative element is:

1) Chlorine

2) Bromine

3) Iodine

4) Fluorine

71 / 150

71. A function differentiable at a point must be:

1) constant near that point

2) discontinuous at that point

3) continuous at that point

4) periodic at that point

72 / 150

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

1) 0.50 M

2) 2.00 M

3) 1.00 M

4) 2.00 M

73 / 150

73. Value of log₁₀(10^9) is:

1) 3

2) 10

3) 9

4) 8

74 / 150

74. Analgesics are drugs used to:

1) Induce sleep

2) Neutralize acids

3) Relieve pain

4) Increase blood pressure

75 / 150

75. Order of a reaction is determined from:

1) Experimental rate law

2) Atomic numbers

3) Balanced equation

4) Molecular mass

76 / 150

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

1) 2.25e+05 N/C

2) 5.62e+04 N/C

3) 1.12e+05 N/C

4) 1.12e+06 N/C

77 / 150

77. Tollens’ reagent gives silver mirror test with:

1) Alkanes

2) Ketones

3) Aldehydes

4) Alkenes

78 / 150

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

1) 24

2) 64

3) 128

4) 256

79 / 150

79. NH3 acts as a ligand typically as:

1) Anion only

2) Bidentate ligand

3) Monodentate ligand

4) Metal

80 / 150

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

1) 15 m/s

2) 60 m/s

3) 83 m/s

4) 30 m/s

81 / 150

81. Speed of sound is highest in:

1) gases

2) liquids

3) vacuum

4) solids

82 / 150

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

1) 1/13

2) 1/4

3) 1/2

4) 4/13

83 / 150

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

1) 18

2) 9

3) 20

4) 22

84 / 150

84. Value of log₁₀(10^15) is:

1) 14

2) 15

3) 16

4) 5

85 / 150

85. SI unit of magnetic flux is:

1) Henry

2) Ampere

3) Weber

4) Tesla

86 / 150

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

1) 14

2) 12

3) 10

4) 2

87 / 150

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

1) x^2=4ay

2) y^2=4ax

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

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

88 / 150

88. A diode conducts mainly in:

1) both equally

2) neither

3) reverse bias

4) forward bias

89 / 150

89. Value of log₁₀(10^15) is:

1) 5

2) 16

3) 14

4) 15

90 / 150

90. Analgesics are drugs used to:

1) Induce sleep

2) Relieve pain

3) Increase blood pressure

4) Neutralize acids

91 / 150

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

1) 6 Ω

2) 6 Ω

3) 12 Ω

4) 3 Ω

92 / 150

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

1) 6 Ω

2) 14 Ω

3) 8 Ω

4) 24/7 Ω

93 / 150

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

1) 32

2) 29

3) 34

4) 16

94 / 150

94. Value of log₁₀(10^9) is:

1) 9

2) 3

3) 8

4) 10

95 / 150

95. SI unit of magnetic flux is:

1) Weber

2) Ampere

3) Henry

4) Tesla

96 / 150

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

1) 4 μC

2) 20 μC

3) 40.0 μC

4) 80 μC

97 / 150

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

1) Vs/Vp = 9/10

2) 500/450

3) 10/9

4) 950/500

98 / 150

98. Most electronegative element is:

1) Fluorine

2) Bromine

3) Chlorine

4) Iodine

99 / 150

99. Avogadro number is approximately:

1) 6.022×10^23

2) 3×10^8

3) 9.8

4) 1.6×10^-19

100 / 150

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

1) 4

2) 4/3

3) 3/4

4) 3

101 / 150

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

1) 5 A

2) 6/30 A

3) 30 A

4) 6 A

102 / 150

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

1) 32

2) 8

3) 8

4) 16

103 / 150

103. In a galvanic cell, oxidation occurs at:

1) Electrolyte

2) Cathode

3) Salt bridge

4) Anode

104 / 150

104. A catalyst increases rate by lowering:

1) Activation energy

2) Density

3) Pressure

4) Temperature

105 / 150

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

1) 20

2) 21

3) 19

4) 20

106 / 150

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

1) 40.0 μC

2) 20 μC

3) 4 μC

4) 80 μC

107 / 150

107. C2H4 is:

1) alkane

2) alkene

3) alkyne

4) arene

108 / 150

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

1) 21

2) 20

3) 19

4) 20

109 / 150

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

1) 9.00e+06 N/C

2) 4.50e+05 N/C

3) 9.00e+05 N/C

4) 1.80e+06 N/C

110 / 150

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

1) 2/3

2) 1/3

3) 1/2

4) 1/6

111 / 150

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

1) 11

2) 30

3) 28

4) 26

112 / 150

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

1) 1

2) 1/1

3) 1

4) 1

113 / 150

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

1) 30 μC

2) 60.0 μC

3) 120 μC

4) 4 μC

114 / 150

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

1) 17

2) 35

3) 32

4) 37

115 / 150

115. In a galvanic cell, oxidation occurs at:

1) Salt bridge

2) Electrolyte

3) Cathode

4) Anode

116 / 150

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

1) 20.00 s

2) 0.03 s

3) 0.05 s

4) 0.10 s

117 / 150

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

1) 10/9

2) Vs/Vp = 9/10

3) 500/450

4) 950/500

118 / 150

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

1) 5 A

2) 6/30 A

3) 30 A

4) 6 A

119 / 150

119. SI unit of specific heat capacity is:

1) J K⁻¹

2) kg J⁻¹ K⁻¹

3) J m⁻¹

4) J kg⁻¹ K⁻¹

120 / 150

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

1) 125 m/s

2) 20 m/s

3) 40 m/s

4) 10 m/s

121 / 150

121. The work function is related to:

1) Interference

2) Photoelectric effect

3) Electrolysis

4) Refraction

122 / 150

122. Most electronegative element is:

1) Iodine

2) Fluorine

3) Bromine

4) Chlorine

123 / 150

123. Bakelite is a:

1) Thermosetting polymer

2) Elastomer

3) Thermoplastic

4) Natural polymer

124 / 150

124. 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) 2.00e+05 N/C

3) 1.00e+05 N/C

4) 1.00e+06 N/C

125 / 150

125. Evaluate: ∫₀¹ 2x^3 dx equals:

1) 3/2

2) 1/2

3) 1/3

4) 2/3

126 / 150

126. SI unit of magnetic flux is:

1) Henry

2) Ampere

3) Weber

4) Tesla

127 / 150

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

1) 1%

2) 4%

3) 0.5%

4) 2%

128 / 150

128. Functional isomerism means:

1) same formula, same structure

2) same formula, different functional group

3) different formula

4) same chain, different position

129 / 150

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

1) 2/1

2) Vs/Vp = 1/2

3) 750/500

4) 500/250

130 / 150

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

1) F

2) 8F

3) 4F

4) 2F

131 / 150

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

1) √23

2) √24

3) √25

4) 8

132 / 150

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

1) 26

2) 11

3) 28

4) 30

133 / 150

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

1) y=3x-2

2) y=3x+2

3) 3y=x-2

4) y=-2x+3

134 / 150

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

1) 15

2) 22

3) 27

4) 25

135 / 150

135. Analgesics are drugs used to:

1) Neutralize acids

2) Relieve pain

3) Induce sleep

4) Increase blood pressure

136 / 150

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

1) 4/13

2) 1/13

3) 1/4

4) 1/2

137 / 150

137. SN1 reaction rate depends mainly on:

1) Both equally

2) Concentration of substrate

3) Only temperature

4) Concentration of nucleophile

138 / 150

138. Order of a reaction is determined from:

1) Experimental rate law

2) Atomic numbers

3) Balanced equation

4) Molecular mass

139 / 150

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

1) 15 m/s

2) 60 m/s

3) 83 m/s

4) 30 m/s

140 / 150

140. SI unit of magnetic flux is:

1) Henry

2) Weber

3) Ampere

4) Tesla

141 / 150

141. The work function is related to:

1) Interference

2) Photoelectric effect

3) Refraction

4) Electrolysis

142 / 150

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

1) 6 Ω

2) 4 Ω

3) 10 Ω

4) 12/5 Ω

143 / 150

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

1) √55

2) 12

3) √56

4) √57

144 / 150

144. Most electronegative element is:

1) Iodine

2) Chlorine

3) Bromine

4) Fluorine

145 / 150

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

1) 9

2) 14

3) 12

4) 10

146 / 150

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

1) 1/2

2) 2

3) 1

4) 2

147 / 150

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

1) 4 μC

2) 10 μC

3) 40 μC

4) 20.0 μC

148 / 150

148. Which is an alkali metal?

1) Mg

2) Cl

3) Al

4) Na

149 / 150

149. Oxidation number of oxygen in H2O2 is:

1) +2

2) -1

3) 0

4) -2

150 / 150

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

1) Vs/Vp = 7/10

2) 500/350

3) 10/7

4) 850/500

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