MHTCET B.TECH TYPE 2

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MHTCET B.TECH TYPE 2

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1 / 150

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

1) 112

2) 25

3) 9

4) 23

2 / 150

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

1) 7/101

2) 5

3) 7/100

4) 7

3 / 150

3. Induced emf is produced when:

1) Charge becomes zero

2) Current is constant

3) Magnetic flux linked with circuit changes

4) Resistance changes

4 / 150

4. Speed of a wave is given by:

1) v=λ/f

2) v=fλ

3) v=f+λ

4) v=f/λ

5 / 150

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

1) 15

2) 7

3) 17

4) 23

6 / 150

6. 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

7 / 150

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

1) 3

2) 9/126

3) 9/125

4) 9

8 / 150

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

1) 35

2) 36

3) 34

4) 35

9 / 150

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

1) 9.69 s

2) 11.73 s

3) 4.84 s

4) 2.42 s

10 / 150

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

1) 18 m

2) 56 m

3) 28.0 m

4) 196 m

11 / 150

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

1) 1/4

2) 1

3) 1/2

4) 3/4

12 / 150

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

1) 2

2) 17/500

3) 17/501

4) 17

13 / 150

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

1) Depends on function

2) True

3) False

4) Not defined

14 / 150

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

1) 15

2) √76

3) √78

4) √77

15 / 150

15. Maximum electrons in d-subshell is:

1) 10

2) 14

3) 2

4) 6

16 / 150

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

1) 16 Ω

2) 8 Ω

3) 2 Ω

4) 10 Ω

17 / 150

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

1) 7.82 s

2) 3.91 s

3) 1.96 s

4) 7.65 s

18 / 150

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

1) 324 m

2) 108 m

3) 24 m

4) 54.0 m

19 / 150

19. H2O molecule has bond angle approximately:

1) 120°

2) 180°

3) 90°

4) 104.5°

20 / 150

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

1) g downward

2) 0

3) g upward

4) depends on velocity

21 / 150

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

1) 11

2) 180

3) 29

4) 31

22 / 150

22. Oxidation number of S in H2SO4 is:

1) 0

2) +2

3) +4

4) +6

23 / 150

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

1) 21

2) √148

3) √150

4) √149

24 / 150

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

1) 27

2) 9

3) 136

4) 25

25 / 150

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

1) 81.0 W

2) 3 W

3) 54 W

4) 162 W

26 / 150

26. Heat is measured in:

1) newton

2) joule

3) watt

4) pascal

27 / 150

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

1) 40.0 m

2) 256 m

3) 21 m

4) 80 m

28 / 150

28. Impulse equals:

1) work only

2) force only

3) change in KE

4) change in momentum

29 / 150

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

1) 4/26

2) 4/25

3) 5

4) 4

30 / 150

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

1) 210

2) 11

3) 31

4) 33

31 / 150

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

1) -3

2) 1

3) -7

4) 25

32 / 150

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

1) 4.00 D

2) 2.00 D

3) 1.00 D

4) 2 D

33 / 150

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

1) 9/251

2) 9

3) 3

4) 9/250

34 / 150

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

1) 31/250

2) 31/251

3) 4

4) 31

35 / 150

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

1) 289 m

2) 22 m

3) 85 m

4) 42.5 m

36 / 150

36. Value of log₁₀(10^2) is:

1) 0

2) 3

3) 1

4) 2

37 / 150

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

1) 30

2) 32

3) 17

4) 27

38 / 150

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

1) 13

2) 14

3) 17

4) 12

39 / 150

39. Evaluate: ∫₀^3 x dx equals:

1) 3

2) 9/3

3) 9

4) 9/2

40 / 150

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

1) 500

2) 48

3) 490

4) 495

41 / 150

41. IUPAC name of CH3–CH2–OH is:

1) Methanol

2) Ethanol

3) Ethanal

4) Ethanoic acid

42 / 150

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

1) 8

2) 6

3) 7

4) 5

43 / 150

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

1) 1 D

2) 1.43 D

3) 2.86 D

4) 0.71 D

44 / 150

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

1) 84

2) 8

3) 22

4) 20

45 / 150

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

1) 2

2) 4

3) 3

4) 1

46 / 150

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

1) 10

2) 12

3) 7

4) 9

47 / 150

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

1) 369

2) 42

3) 364

4) 359

48 / 150

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

1) 4 Ω

2) 18 Ω

3) 14 Ω

4) 56 Ω

49 / 150

49. Antibiotics are used to:

1) reduce acidity

2) induce sleep

3) kill/inhibit bacteria

4) relieve pain

50 / 150

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

1) 30.0 m

2) 19 m

3) 225 m

4) 60 m

51 / 150

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

1) 17

2) 17/500

3) 1

4) 17/501

52 / 150

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

1) 45.0 W

2) 90 W

3) 3 W

4) 30 W

53 / 150

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

1) 16

2) 11

3) 14

4) 11

54 / 150

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

1) 2.20 s

2) 4.40 s

3) 9.69 s

4) 8.81 s

55 / 150

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

1) 33.0 m/s

2) 91.7 m/s

3) 66.0 m/s

4) 16.5 m/s

56 / 150

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

1) 2

2) 23/500

3) 23/501

4) 23

57 / 150

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

1) 1/2

2) 1/4

3) 4/13

4) 1/13

58 / 150

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

1) 1.07 V

2) 1.10 V

3) 1.04 V

4) 1.10 V

59 / 150

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

1) 24.0 m/s

2) 48.0 m/s

3) 12.0 m/s

4) 66.7 m/s

60 / 150

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

1) 1.15 V

2) 1.09 V

3) 1.15 V

4) 1.12 V

61 / 150

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

1) 81/500

2) 81

3) 81/501

4) 6

62 / 150

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

1) 1.68 s

2) 3.35 s

3) 6.70 s

4) 5.61 s

63 / 150

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

1) 19

2) 7

3) 17

4) 60

64 / 150

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

1) 55

2) 6

3) 18

4) 16

65 / 150

65. 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

66 / 150

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

1) 30.0 μC

2) 30 μC

3) 2 μC

4) 60 μC

67 / 150

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

1) 11

2) 11/500

3) 1

4) 11/501

68 / 150

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

1) 100.0 m/s

2) 36.0 m/s

3) 72.0 m/s

4) 18.0 m/s

69 / 150

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

1) 11

2) 11/501

3) 2

4) 11/500

70 / 150

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

1) √30

2) √29

3) √28

4) 9

71 / 150

71. Resonance increases stability due to:

1) increase in mass

2) decrease in charge

3) delocalization of electrons

4) localization of electrons

72 / 150

72. Photoelectric emission occurs only if frequency is:

1) Above threshold frequency

2) Below threshold

3) Independent of frequency

4) Zero

73 / 150

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

1) Ethyl ethanoate

2) Methyl methanoate

3) Methyl ethanoate

4) Ethyl methanoate

74 / 150

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

1) oscillator

2) rectifier

3) amplifier

4) transformer

75 / 150

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

1) 30.0 μC

2) 6 μC

3) 10 μC

4) 60 μC

76 / 150

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

1) 1

2) 3

3) 4

4) 2

77 / 150

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

1) 2.77 s

2) 0.69 s

3) 1.39 s

4) 2.00 s

78 / 150

78. IUPAC name of C2H2 is:

1) benzene

2) ethene

3) ethane

4) ethyne

79 / 150

79. Value of log₁₀(10^4) is:

1) 0

2) 4

3) 3

4) 5

80 / 150

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

1) 225 m

2) 34 m

3) 625 m

4) 112.5 m

81 / 150

81. Value of log₁₀(10^6) is:

1) 7

2) 0

3) 5

4) 6

82 / 150

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

1) Conductance

2) Capacitive reactance

3) Resistance

4) Inductance

83 / 150

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

1) 60

2) 72

3) 66

4) 66

84 / 150

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

1) 1

2) 4

3) 1/11

4) 1/10

85 / 150

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

1) 4-i

2) -4+i

3) -4-i

4) 4+i

86 / 150

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

1) 6

2) 9

3) 9/100

4) 9/101

87 / 150

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

1) 1/4

2) 1/5

3) 1

4) 1

88 / 150

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

1) 2916

2) 1462

3) 1458

4) 1454

89 / 150

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

1) 24

2) 16

3) 17

4) 15

90 / 150

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

1) 29

2) 29/501

3) 2

4) 29/500

91 / 150

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

1) 42 W

2) 63.0 W

3) 126 W

4) 3 W

92 / 150

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

1) 1/2

2) 2/√3

3) √2/2

4) √3/2

93 / 150

93. Power of lens is measured in:

1) weber

2) dioptre

3) tesla

4) newton

94 / 150

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

1) 9/101

2) 9

3) 9/100

4) 3

95 / 150

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

1) 63

2) 63/501

3) 63/500

4) 6

96 / 150

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

1) 31

2) 29

3) 30

4) 30

97 / 150

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

1) 19

2) 21

3) 78

4) 7

98 / 150

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

1) 28

2) 171

3) 10

4) 30

99 / 150

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

1) 14 Ω

2) 11 Ω

3) 3 Ω

4) 33 Ω

100 / 150

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

1) -19

2) -23

3) 25

4) -15

101 / 150

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

1) half

2) four times

3) double

4) one-fourth

102 / 150

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

1) 2g

2) g

3) g/2

4) g/4

103 / 150

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

1) 7/251

2) 7/250

3) 7

4) 1

104 / 150

104. PV = nRT is known as:

1) Ideal gas equation

2) Charles’ law

3) Boyle’s law

4) Graham’s law

105 / 150

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

1) 4

2) 19/250

3) 19

4) 19/251

106 / 150

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

1) 8

2) 6

3) 2

4) 4

107 / 150

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

1) 36

2) 58

3) 52

4) 46

108 / 150

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

1) 42.0 m/s

2) 10.5 m/s

3) 58.3 m/s

4) 21.0 m/s

109 / 150

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

1) 15 m

2) 36 m

3) 144 m

4) 18.0 m

110 / 150

110. Adsorption is a phenomenon of:

1) surface

2) bulk

3) gravitational

4) nuclear

111 / 150

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

1) 50 Ω

2) 10 Ω

3) 5 Ω

4) 15 Ω

112 / 150

112. Oxidation number of Cr in K2Cr2O7 is:

1) +7

2) +6

3) +3

4) +4

113 / 150

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

1) 27/501

2) 27

3) 3

4) 27/500

114 / 150

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

1) 2/126

2) 2/125

3) 2

4) 1

115 / 150

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

1) 40

2) 20

3) 45

4) 50

116 / 150

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

1) 220

2) 12

3) 32

4) 34

117 / 150

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

1) 16 m

2) 19.5 m

3) 169 m

4) 39 m

118 / 150

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

1) 6

2) 4

3) 7

4) 5

119 / 150

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

1) 1/100

2) 1/101

3) 1

4) 1

120 / 150

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

1) 1

2) 5

3) -3

4) 25

121 / 150

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

1) 1/11

2) 1

3) 1/10

4) 5

122 / 150

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

1) 4

2) 3

3) 7

4) 2

123 / 150

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

1) 60.0 μC

2) 6 μC

3) 20 μC

4) 120 μC

124 / 150

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

1) 253

2) 34

3) 36

4) 12

125 / 150

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

1) 15

2) 25

3) 30

4) 28

126 / 150

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

1) 441 m

2) 147 m

3) 73.5 m

4) 28 m

127 / 150

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

1) 26

2) 10

3) 28

4) 144

128 / 150

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

1) 3

2) 9

3) 12

4) 6

129 / 150

129. Unit of magnetic flux is:

1) Tesla

2) Coulomb

3) Henry

4) Weber

130 / 150

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

1) 13/100

2) 13/101

3) 13

4) 5

131 / 150

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

1) 8

2) 22

3) 24

4) 105

132 / 150

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

1) K

2) Li

3) Na

4) Rb

133 / 150

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

1) 35

2) 13

3) 37

4) 264

134 / 150

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

1) 6

2) 99/501

3) 99

4) 99/500

135 / 150

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

1) 1

2) 0.5

3) 2

4) 0.25

136 / 150

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

1) 31 m

2) 529 m

3) 92.0 m

4) 184 m

137 / 150

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

1) 0.10 K

2) 0.52 K

3) 0.21 K

4) 0.05 K

138 / 150

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

1) 13/250

2) 13/251

3) 4

4) 13

139 / 150

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

1) 27 m

2) 400 m

3) 70.0 m

4) 140 m

140 / 150

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

1) -19

2) 25

3) -15

4) -11

141 / 150

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

1) 3

2) 3/4

3) 3/5

4) 1

142 / 150

142. Monomer used to prepare PVC is:

1) Vinyl chloride

2) Propene

3) Ethene

4) Styrene

143 / 150

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

1) 3

2) 1

3) 4

4) 2

144 / 150

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

1) 5%

2) 2.5%

3) 1%

4) 4%

145 / 150

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

1) 0.52 K

2) 0.42 K

3) 0.10 K

4) 0.21 K

146 / 150

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

1) 200.0 μC

2) 400 μC

3) 40 μC

4) 10 μC

147 / 150

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

1) 6.67 D

2) 3.33 D

3) 3 D

4) 1.67 D

148 / 150

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

1) 33 m

2) 216 m

3) 108.0 m

4) 576 m

149 / 150

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

1) 30 m

2) 176 m

3) 484 m

4) 88.0 m

150 / 150

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

1) 24

2) 12

3) 4

4) 6

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