MHTCET B.TECH TYPE 2

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MHTCET B.TECH TYPE 2

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1 / 150

1. Number of ways to choose 3 objects from 14 distinct objects is:

1) 369

2) 364

3) 359

4) 42

2 / 150

2. A p-n junction diode is used mainly as a:

1) rectifier

2) oscillator

3) transformer

4) amplifier

3 / 150

3. Two resistors 3 Ω and 11 Ω are in series. Equivalent resistance is:

1) 3 Ω

2) 14 Ω

3) 33 Ω

4) 11 Ω

4 / 150

4. Discriminant of quadratic equation x² -5x +7 = 0 is:

1) -7

2) 25

3) 1

4) -3

5 / 150

5. An appliance draws 3 A from 42 V. Power consumed is:

1) 63.0 W

2) 126 W

3) 3 W

4) 42 W

6 / 150

6. Number of moles in 22 g of CO2 is:

1) 0.5

2) 1

3) 2

4) 0.25

7 / 150

7. For x² + y² – 4x + 6y + 4 = 0, the radius is:

1) 4

2) 1

3) 2

4) 3

8 / 150

8. Two resistors 4 Ω and 14 Ω are in series. Equivalent resistance is:

1) 4 Ω

2) 56 Ω

3) 14 Ω

4) 18 Ω

9 / 150

9. Volume 24 mL of 3 M HCl contains how many moles of HCl?

1) 9/126

2) 9/125

3) 9

4) 3

10 / 150

10. Simplify: (18^2 – 8^2)/(18-8) equals:

1) 144

2) 28

3) 26

4) 10

11 / 150

11. Impulse equals:

1) force only

2) change in momentum

3) work only

4) change in KE

12 / 150

12. An appliance draws 3 A from 30 V. Power consumed is:

1) 90 W

2) 30 W

3) 3 W

4) 45.0 W

13 / 150

13. Volume 16 mL of 1 M HCl contains how many moles of HCl?

1) 2/125

2) 1

3) 2/126

4) 2

14 / 150

14. IUPAC name of CH3–CH2–OH is:

1) Ethanal

2) Ethanoic acid

3) Ethanol

4) Methanol

15 / 150

15. If distance between two charges is doubled, force becomes:

1) half

2) one-fourth

3) double

4) four times

16 / 150

16. Speed of a wave is given by:

1) v=λ/f

2) v=f+λ

3) v=f/λ

4) v=fλ

17 / 150

17. A 10 μF capacitor is charged to 40 V. Charge stored is:

1) 10 μC

2) 200.0 μC

3) 400 μC

4) 40 μC

18 / 150

18. Power of lens is measured in:

1) tesla

2) weber

3) newton

4) dioptre

19 / 150

19. Equation y² = 8x represents a parabola with focal length:

1) 4

2) 2

3) 3

4) 1

20 / 150

20. In an AP with first term 6 and common difference 6, the 11th term is:

1) 60

2) 72

3) 66

4) 66

21 / 150

21. A body moves with constant speed 14 m/s for 4 s. Distance covered is:

1) 56 m

2) 28.0 m

3) 18 m

4) 196 m

22 / 150

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

1) 1.09 V

2) 1.15 V

3) 1.12 V

4) 1.15 V

23 / 150

23. Dot product of vectors (4,2) and (5,4) is:

1) 15

2) 25

3) 30

4) 28

24 / 150

24. Volume 12 mL of 3 M HCl contains how many moles of HCl?

1) 9/250

2) 3

3) 9

4) 9/251

25 / 150

25. Adsorption is a phenomenon of:

1) bulk

2) nuclear

3) gravitational

4) surface

26 / 150

26. Simplify: (23^2 – 11^2)/(23-11) equals:

1) 36

2) 253

3) 12

4) 34

27 / 150

27. How many moles of NaOH are present in 750 mL of 1 M NaOH solution?

1) 1

2) 3

3) 3/4

4) 3/5

28 / 150

28. Time to fall freely from height 75 m (g=9.8) is approximately:

1) 7.82 s

2) 7.65 s

3) 3.91 s

4) 1.96 s

29 / 150

29. Volume 11 mL of 2 M HCl contains how many moles of HCl?

1) 11/500

2) 2

3) 11

4) 11/501

30 / 150

30. Volume 17 mL of 2 M HCl contains how many moles of HCl?

1) 17/501

2) 17

3) 17/500

4) 2

31 / 150

31. If a vector has components (8,15), its magnitude is:

1) 23

2) 17

3) 15

4) 7

32 / 150

32. Simplify: (11^2 – 5^2)/(11-5) equals:

1) 18

2) 55

3) 6

4) 16

33 / 150

33. Boiling point elevation for an aqueous solution of molality 0.2 (Kb=0.52 K kg/mol) is:

1) 0.10 K

2) 0.21 K

3) 0.52 K

4) 0.05 K

34 / 150

34. At highest point of projectile motion, acceleration is:

1) g upward

2) g downward

3) 0

4) depends on velocity

35 / 150

35. Value of log₁₀(10^6) is:

1) 0

2) 5

3) 7

4) 6

36 / 150

36. Simplify: (22^2 – 10^2)/(22-10) equals:

1) 220

2) 12

3) 34

4) 32

37 / 150

37. An appliance draws 3 A from 54 V. Power consumed is:

1) 54 W

2) 162 W

3) 3 W

4) 81.0 W

38 / 150

38. Volume 23 mL of 2 M HCl contains how many moles of HCl?

1) 23/500

2) 2

3) 23/501

4) 23

39 / 150

39. Volume 27 mL of 6 M HCl contains how many moles of HCl?

1) 81

2) 6

3) 81/500

4) 81/501

40 / 150

40. A 2 μF capacitor is charged to 30 V. Charge stored is:

1) 30.0 μC

2) 30 μC

3) 60 μC

4) 2 μC

41 / 150

41. Volume 25 mL of 4 M HCl contains how many moles of HCl?

1) 1/11

2) 1

3) 1/10

4) 4

42 / 150

42. Among Li, Na, K, Rb, atomic size is largest for:

1) K

2) Rb

3) Na

4) Li

43 / 150

43. A body moves with constant speed 15 m/s for 4 s. Distance covered is:

1) 225 m

2) 19 m

3) 30.0 m

4) 60 m

44 / 150

44. Volume 30 mL of 3 M HCl contains how many moles of HCl?

1) 9/100

2) 3

3) 9/101

4) 9

45 / 150

45. Value of log₁₀(10^2) is:

1) 3

2) 2

3) 1

4) 0

46 / 150

46. Photoelectric emission occurs only if frequency is:

1) Zero

2) Above threshold frequency

3) Independent of frequency

4) Below threshold

47 / 150

47. How many moles of NaOH are present in 250 mL of 1 M NaOH solution?

1) 1

2) 1/4

3) 1

4) 1/5

48 / 150

48. Volume 32 mL of 5 M HCl contains how many moles of HCl?

1) 4

2) 4/25

3) 4/26

4) 5

49 / 150

49. A body moves with constant speed 17 m/s for 5 s. Distance covered is:

1) 22 m

2) 42.5 m

3) 289 m

4) 85 m

50 / 150

50. If f(x)=x-1 and g(x)=3x, then (f∘g)(2) equals:

1) 5

2) 7

3) 6

4) 8

51 / 150

51. Oxidation number of S in H2SO4 is:

1) +2

2) +6

3) +4

4) 0

52 / 150

52. Volume 20 mL of 5 M HCl contains how many moles of HCl?

1) 1

2) 1/11

3) 1/10

4) 5

53 / 150

53. A body moves with constant speed 21 m/s for 7 s. Distance covered is:

1) 28 m

2) 441 m

3) 147 m

4) 73.5 m

54 / 150

54. A coin is tossed twice. Probability of exactly one head is:

1) 1

2) 1/2

3) 1/4

4) 3/4

55 / 150

55. Volume 34 mL of 1 M HCl contains how many moles of HCl?

1) 17/501

2) 1

3) 17

4) 17/500

56 / 150

56. Volume 15 mL of 6 M HCl contains how many moles of HCl?

1) 9

2) 6

3) 9/101

4) 9/100

57 / 150

57. Heat is measured in:

1) watt

2) pascal

3) joule

4) newton

58 / 150

58. A lens of focal length 50 cm has power:

1) 2.00 D

2) 4.00 D

3) 2 D

4) 1.00 D

59 / 150

59. Volume 14 mL of 5 M HCl contains how many moles of HCl?

1) 7

2) 7/100

3) 7/101

4) 5

60 / 150

60. Maximum electrons in d-subshell is:

1) 10

2) 2

3) 14

4) 6

61 / 150

61. For A = [[5,0],[2,6]], det(A) equals:

1) 29

2) 30

3) 30

4) 31

62 / 150

62. A lens of focal length 70 cm has power:

1) 1 D

2) 1.43 D

3) 0.71 D

4) 2.86 D

63 / 150

63. Discriminant of quadratic equation x² -5x +6 = 0 is:

1) 25

2) 1

3) -3

4) 5

64 / 150

64. Volume 10 mL of 1 M HCl contains how many moles of HCl?

1) 1/100

2) 1

3) 1/101

4) 1

65 / 150

65. If Earth’s radius becomes 2R (mass same), acceleration due to gravity becomes:

1) g/4

2) 2g

3) g

4) g/2

66 / 150

66. Discriminant of quadratic equation x² -5x +11 = 0 is:

1) -15

2) 25

3) -19

4) -23

67 / 150

67. If y = x^6, then dy/dx at x=3 is:

1) 1454

2) 1462

3) 1458

4) 2916

68 / 150

68. A body moves with constant speed 20 m/s for 7 s. Distance covered is:

1) 140 m

2) 70.0 m

3) 27 m

4) 400 m

69 / 150

69. Dot product of vectors (6,2) and (3,6) is:

1) 32

2) 30

3) 17

4) 27

70 / 150

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

1) 9

2) 7

3) 12

4) 10

71 / 150

71. A body moves with constant speed 23 m/s for 8 s. Distance covered is:

1) 92.0 m

2) 31 m

3) 529 m

4) 184 m

72 / 150

72. Simplify: (20^2 – 9^2)/(20-9) equals:

1) 180

2) 31

3) 29

4) 11

73 / 150

73. Time to fall freely from height 115 m (g=9.8) is approximately:

1) 11.73 s

2) 9.69 s

3) 2.42 s

4) 4.84 s

74 / 150

74. Volume 19 mL of 4 M HCl contains how many moles of HCl?

1) 19

2) 4

3) 19/250

4) 19/251

75 / 150

75. Resonance increases stability due to:

1) decrease in charge

2) delocalization of electrons

3) increase in mass

4) localization of electrons

76 / 150

76. Oxidation number of Cr in K2Cr2O7 is:

1) +7

2) +6

3) +3

4) +4

77 / 150

77. H2O molecule has bond angle approximately:

1) 104.5°

2) 180°

3) 90°

4) 120°

78 / 150

78. A body moves with constant speed 12 m/s for 3 s. Distance covered is:

1) 15 m

2) 18.0 m

3) 36 m

4) 144 m

79 / 150

79. A body moves with constant speed 16 m/s for 5 s. Distance covered is:

1) 40.0 m

2) 21 m

3) 80 m

4) 256 m

80 / 150

80. pH of a 10^-5 M HCl solution is approximately:

1) 5

2) 4

3) 7

4) 6

81 / 150

81. For a first order reaction with k = 0.5 s^-1, half-life t1/2 is approximately:

1) 2.77 s

2) 1.39 s

3) 2.00 s

4) 0.69 s

82 / 150

82. Distance of point (6,7,8) from origin is:

1) √148

2) √149

3) 21

4) √150

83 / 150

83. Simplify: (15^2 – 7^2)/(15-7) equals:

1) 8

2) 24

3) 22

4) 105

84 / 150

84. Value of log₁₀(10^4) is:

1) 5

2) 4

3) 0

4) 3

85 / 150

85. Evaluate: ∫₀^3 x dx equals:

1) 9/2

2) 9

3) 9/3

4) 3

86 / 150

86. Number of ways to choose 4 objects from 12 distinct objects is:

1) 500

2) 48

3) 495

4) 490

87 / 150

87. Volume 26 mL of 5 M HCl contains how many moles of HCl?

1) 13

2) 13/100

3) 13/101

4) 5

88 / 150

88. Evaluate: lim(x→3) (x²-9)/(x-3) equals:

1) 9

2) 6

3) 12

4) 3

89 / 150

89. Simplify: (13^2 – 6^2)/(13-6) equals:

1) 78

2) 21

3) 19

4) 7

90 / 150

90. PV = nRT is known as:

1) Boyle’s law

2) Ideal gas equation

3) Charles’ law

4) Graham’s law

91 / 150

91. Volume 22 mL of 1 M HCl contains how many moles of HCl?

1) 11/500

2) 11

3) 1

4) 11/501

92 / 150

92. Coordination number of central metal in [Co(NH3)6]3+ is:

1) 2

2) 6

3) 8

4) 4

93 / 150

93. Simplify: (14^2 – 6^2)/(14-6) equals:

1) 84

2) 20

3) 22

4) 8

94 / 150

94. Volume 13 mL of 4 M HCl contains how many moles of HCl?

1) 13

2) 4

3) 13/251

4) 13/250

95 / 150

95. Volume 31 mL of 4 M HCl contains how many moles of HCl?

1) 4

2) 31

3) 31/250

4) 31/251

96 / 150

96. A body moves with constant speed 22 m/s for 8 s. Distance covered is:

1) 88.0 m

2) 30 m

3) 176 m

4) 484 m

97 / 150

97. For A = [[5,2],[1,3]], det(A) equals:

1) 12

2) 14

3) 17

4) 13

98 / 150

98. Simplify: (21^2 – 10^2)/(21-10) equals:

1) 210

2) 33

3) 11

4) 31

99 / 150

99. Time to fall freely from height 95 m (g=9.8) is approximately:

1) 9.69 s

2) 4.40 s

3) 2.20 s

4) 8.81 s

100 / 150

100. For a cell with E° = 1.20 V and n=2, if Q=10 at 25°C, E is approximately:

1) 1.20 V

2) 1.20 V

3) 1.14 V

4) 1.17 V

101 / 150

101. Induced emf is produced when:

1) Magnetic flux linked with circuit changes

2) Resistance changes

3) Current is constant

4) Charge becomes zero

102 / 150

102. In an AP with first term 4 and common difference 6, the 9th term is:

1) 46

2) 58

3) 36

4) 52

103 / 150

103. Two resistors 2 Ω and 8 Ω are in series. Equivalent resistance is:

1) 2 Ω

2) 16 Ω

3) 8 Ω

4) 10 Ω

104 / 150

104. Monomer used to prepare PVC is:

1) Vinyl chloride

2) Ethene

3) Styrene

4) Propene

105 / 150

105. Simplify: (24^2 – 11^2)/(24-11) equals:

1) 264

2) 37

3) 35

4) 13

106 / 150

106. Volume 21 mL of 6 M HCl contains how many moles of HCl?

1) 63

2) 6

3) 63/501

4) 63/500

107 / 150

107. If a function is differentiable at x=a, then it is continuous at x=a. This statement is:

1) Depends on function

2) False

3) Not defined

4) True

108 / 150

108. A 6 μF capacitor is charged to 10 V. Charge stored is:

1) 30.0 μC

2) 10 μC

3) 6 μC

4) 60 μC

109 / 150

109. A card is drawn from a standard deck. Probability that it is a spade is:

1) 1/2

2) 4/13

3) 1/13

4) 1/4

110 / 150

110. A wave has frequency 35 Hz and wavelength 0.6 m. Speed is:

1) 10.5 m/s

2) 21.0 m/s

3) 42.0 m/s

4) 58.3 m/s

111 / 150

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

1) 16

2) 17

3) 24

4) 15

112 / 150

112. Simplify: (17^2 – 8^2)/(17-8) equals:

1) 136

2) 9

3) 27

4) 25

113 / 150

113. Ethanoic acid reacts with ethanol to form the ester:

1) Ethyl methanoate

2) Methyl methanoate

3) Methyl ethanoate

4) Ethyl ethanoate

114 / 150

114. A body moves with constant speed 19 m/s for 6 s. Distance covered is:

1) 114 m

2) 361 m

3) 57.0 m

4) 25 m

115 / 150

115. Volume 28 mL of 1 M HCl contains how many moles of HCl?

1) 7/251

2) 7/250

3) 7

4) 1

116 / 150

116. Boiling point elevation for an aqueous solution of molality 0.4 (Kb=0.52 K kg/mol) is:

1) 0.42 K

2) 0.10 K

3) 0.21 K

4) 0.52 K

117 / 150

117. A lens of focal length 30 cm has power:

1) 1.67 D

2) 3.33 D

3) 3 D

4) 6.67 D

118 / 150

118. A body moves with constant speed 25 m/s for 9 s. Distance covered is:

1) 225 m

2) 112.5 m

3) 625 m

4) 34 m

119 / 150

119. A 6 μF capacitor is charged to 20 V. Charge stored is:

1) 60.0 μC

2) 120 μC

3) 6 μC

4) 20 μC

120 / 150

120. Distance of point (2,3,4) from origin is:

1) √29

2) √28

3) √30

4) 9

121 / 150

121. pH of a 10^-3 M HCl solution is approximately:

1) 3

2) 4

3) 2

4) 7

122 / 150

122. A wave has frequency 60 Hz and wavelength 0.6 m. Speed is:

1) 36.0 m/s

2) 18.0 m/s

3) 72.0 m/s

4) 100.0 m/s

123 / 150

123. If measured value is 80 with absolute error ±2, percentage error is:

1) 2.5%

2) 4%

3) 5%

4) 1%

124 / 150

124. Discriminant of quadratic equation x² -5x +10 = 0 is:

1) 25

2) -11

3) -15

4) -19

125 / 150

125. The slope of the line through (2,5) and (6,13) is:

1) 1

2) 4

3) 3

4) 2

126 / 150

126. Simplify: (12^2 – 5^2)/(12-5) equals:

1) 17

2) 60

3) 7

4) 19

127 / 150

127. Simplify: (19^2 – 9^2)/(19-9) equals:

1) 10

2) 171

3) 28

4) 30

128 / 150

128. For a cell with E° = 1.10 V and n=2, if Q=10 at 25°C, E is approximately:

1) 1.10 V

2) 1.07 V

3) 1.10 V

4) 1.04 V

129 / 150

129. Unit of magnetic flux is:

1) Tesla

2) Henry

3) Weber

4) Coulomb

130 / 150

130. A wave has frequency 55 Hz and wavelength 0.6 m. Speed is:

1) 66.0 m/s

2) 16.5 m/s

3) 91.7 m/s

4) 33.0 m/s

131 / 150

131. Volume 18 mL of 3 M HCl contains how many moles of HCl?

1) 27/501

2) 27

3) 3

4) 27/500

132 / 150

132. Distance of point (4,5,6) from origin is:

1) 15

2) √78

3) √77

4) √76

133 / 150

133. A body moves with constant speed 13 m/s for 3 s. Distance covered is:

1) 169 m

2) 39 m

3) 16 m

4) 19.5 m

134 / 150

134. Volume 29 mL of 2 M HCl contains how many moles of HCl?

1) 29/501

2) 29/500

3) 29

4) 2

135 / 150

135. Opposition offered by a capacitor in AC is called:

1) Capacitive reactance

2) Resistance

3) Conductance

4) Inductance

136 / 150

136. IUPAC name of C2H2 is:

1) ethene

2) benzene

3) ethane

4) ethyne

137 / 150

137. Volume 33 mL of 6 M HCl contains how many moles of HCl?

1) 6

2) 99/500

3) 99/501

4) 99

138 / 150

138. Number of ways to choose 2 objects from 10 distinct objects is:

1) 45

2) 40

3) 50

4) 20

139 / 150

139. A wave has frequency 40 Hz and wavelength 0.6 m. Speed is:

1) 12.0 m/s

2) 66.7 m/s

3) 24.0 m/s

4) 48.0 m/s

140 / 150

140. Simplify: (16^2 – 7^2)/(16-7) equals:

1) 23

2) 25

3) 9

4) 112

141 / 150

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

1) 16

2) 11

3) 11

4) 14

142 / 150

142. For A = [[5,0],[0,7]], det(A) equals:

1) 35

2) 35

3) 34

4) 36

143 / 150

143. Antibiotics are used to:

1) induce sleep

2) relieve pain

3) kill/inhibit bacteria

4) reduce acidity

144 / 150

144. Number of permutations of letters in the word ‘BOOK’ is:

1) 6

2) 12

3) 4

4) 24

145 / 150

145. If z = 4 – i, then the conjugate of z is:

1) 4+i

2) -4-i

3) -4+i

4) 4-i

146 / 150

146. A body moves with constant speed 24 m/s for 9 s. Distance covered is:

1) 108.0 m

2) 33 m

3) 216 m

4) 576 m

147 / 150

147. Time to fall freely from height 55 m (g=9.8) is approximately:

1) 3.35 s

2) 1.68 s

3) 5.61 s

4) 6.70 s

148 / 150

148. Two resistors 5 Ω and 10 Ω are in series. Equivalent resistance is:

1) 15 Ω

2) 5 Ω

3) 50 Ω

4) 10 Ω

149 / 150

149. If cosθ = √3/2 and θ is acute, then sinθ equals:

1) 1/2

2) √3/2

3) 2/√3

4) √2/2

150 / 150

150. A body moves with constant speed 18 m/s for 6 s. Distance covered is:

1) 324 m

2) 54.0 m

3) 108 m

4) 24 m

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