MHTCET B.TECH TYPE 5

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MHTCET B.TECH TYPE 5

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1 / 150

1. If f(x) = 4x + 7, then f⁻¹(x) is:

1) (4x+7)

2) (x-7)/4

3) (4x-7)

4) (x+7)/4

2 / 150

2. For quadratic 1x^2 + 2x + 1 = 0, discriminant D is:

1) 4

2) 4

3) -4

4) 0

3 / 150

3. For a gaseous equilibrium with Δn=-1 at T=400 K, if Kc=0.50, then Kp is approximately:

1) 0.030

2) 0.500

3) 0.015

4) 0.008

4 / 150

4. Oxidation is:

1) gain of protons

2) gain of electrons

3) loss of neutrons

4) loss of electrons

5 / 150

5. Energy of photon of wavelength 600 nm is approximately:

1) 3.10 eV

2) 4.13 eV

3) 2.07 eV

4) 1.03 eV

6 / 150

6. Number of distinct arrangements of letters in the word ‘POINT’ is:

1) 120

2) 5

3) 110

4) 130

7 / 150

7. A bag has 7 red and 9 blue balls. One ball is drawn. P(red) is:

1) 7/16

2) 16/7

3) 9/16

4) 7/17

8 / 150

8. Transformer has Np=400, Ns=900, Vp=220 V. Secondary voltage Vs is:

1) 495 V

2) 220 V

3) 990 V

4) 248 V

9 / 150

9. For equilibrium A(g) ⇌ B(g), Kc is given by:

1) [A][B]

2) [A]/[B]

3) 1/[A][B]

4) [B]/[A]

10 / 150

10. A rod of length 2.00 m has α=20×10^-6 /°C. For ΔT=40°C, increase in length is:

1) 0.000800 m

2) 0.001600 m

3) 0.000040 m

4) 0.003200 m

11 / 150

11. A solution has 7 g solute in 50 g solution. Mass percent is:

1) 14.00%

2) 7.00%

3) 28.00%

4) 7.00%

12 / 150

12. Gravitational potential energy of mass 7 kg at height 6 m (g=9.8) is:

1) 823.2 J

2) 42.0 J

3) 205.8 J

4) 411.6 J

13 / 150

13. For a process, ΔH=-55 kJ and ΔS=-90 J/K at T=300 K. ΔG is:

1) -55.00 kJ

2) -33.00 kJ

3) -23.00 kJ

4) -28.00 kJ

14 / 150

14. If y = 4x + 3, then y-intercept is:

1) 3

2) 4

3) 7

4) -3

15 / 150

15. Electrical power for V=170 V and I=2 A is:

1) 172 W

2) 340 W

3) 170 W

4) 680 W

16 / 150

16. Weight of a body of mass 5 kg (g=9.8 m/s²) is:

1) 5.0 N

2) 49.0 N

3) 24.5 N

4) 50.0 N

17 / 150

17. Which compound gives positive iodoform test?

1) CH3CH2CH3

2) CH3COCH3

3) C6H6

4) CH3COOH

18 / 150

18. Equivalent resistance in series is:

1) product

2) sum

3) difference

4) reciprocal sum

19 / 150

19. Sum of coefficients in expansion of (1+x)^13 is:

1) 169

2) 8192

3) 13

4) 4096

20 / 150

20. If n(A)=27, n(B)=23 and n(A∩B)=10, then n(A∪B) is:

1) 50

2) 43

3) 40

4) 4

21 / 150

21. Prefix ‘micro’ (μ) represents:

1) 10^-9

2) 10^-3

3) 10^6

4) 10^-6

22 / 150

22. Determinant of matrix [[2,5],[3,4]] is:

1) -7

2) -9

3) -5

4) 23

23 / 150

23. NO2+ is a/an:

1) nucleophile

2) radical

3) base

4) electrophile

24 / 150

24. Dot product of vectors (4,6) and (4,7) is:

1) 58

2) 21

3) 63

4) 53

25 / 150

25. Energy of photon is:

1) hλ/c

2) c/λ

3) h/λ

4) hc/λ

26 / 150

26. Length of diameter of a circle of radius 8 is:

1) 16

2) 64

3) 18

4) 8

27 / 150

27. For an exothermic equilibrium, increasing temperature shifts equilibrium to:

1) No change

2) Only catalyst side

3) Product side

4) Reactant side

28 / 150

28. Charge stored on a capacitor of 8 μF at 30 V is:

1) 8 μC

2) 120.0 μC

3) 240 μC

4) 30 μC

29 / 150

29. A solution contains 0.20 mol solute in 0.30 L. Molarity is:

1) 0.20 M

2) 0.67 M

3) 1.33 M

4) 0.33 M

30 / 150

30. Deviation from ideal behavior is maximum at:

1) low T low P

2) high T low P

3) low T high P

4) high T high P

31 / 150

31. (i)² equals:

1) -1

2) i

3) -i

4) 1

32 / 150

32. Speed of light is maximum in:

1) water

2) air

3) glass

4) diamond

33 / 150

33. For a mirror with u=-40 cm and v=20 cm, magnification m = -v/u is:

1) 0.50

2) -0.50

3) 0.25

4) 1.00

34 / 150

34. A particle with u=9 m/s, a=1 m/s² moves for t=5 s. Displacement is:

1) 45.0 m

2) 57.5 m

3) 5.0 m

4) 28.8 m

35 / 150

35. Solution set of |x| < 8 is:

1) -8 < x < 8

2) x<-8

3) x>8

4) |x|>8

36 / 150

36. Time period of mass-spring system with m=0.2 kg, k=60 N/m is:

1) 0.36 s

2) 0.73 s

3) 0.18 s

4) 1.00 s

37 / 150

37. For a first-order reaction with k=0.350 s^-1, half-life is:

1) 1.98 s

2) 3.96 s

3) 0.99 s

4) 2.86 s

38 / 150

38. A device of power 100 W runs for 20 s. Energy consumed is:

1) 2000 J

2) 5.0 J

3) 1000 J

4) 120 J

39 / 150

39. Compute: ∫₀^5 (4x+5) dx equals:

1) 45

2) 75

3) 25

4) 75

40 / 150

40. Compute: ∫₀^4 (6x+3) dx equals:

1) 36

2) 60

3) 60

4) 27

41 / 150

41. Number of ways to choose 2 from 8 is:

1) 28

2) 64

3) 16

4) 56

42 / 150

42. For reaction 3A + 5B → products, if n(A)=1.75 mol and n(B)=0.75 mol, limiting reagent is:

1) None

2) B

3) Cannot decide

4) A

43 / 150

43. Kinetic energy of mass 5 kg moving at 7 m/s is:

1) 245.0 J

2) 35.0 J

3) 122.5 J

4) 245.0 J

44 / 150

44. Length of diameter of a circle of radius 6 is:

1) 36

2) 12

3) 6

4) 14

45 / 150

45. Time period of mass-spring system with m=0.4 kg, k=100 N/m is:

1) 0.79 s

2) 1.00 s

3) 0.20 s

4) 0.40 s

46 / 150

46. A mixture has n1=4.0 mol A and n2=2.5 mol B. Mole fraction of A is:

1) 0.385

2) 0.715

3) 0.515

4) 0.615

47 / 150

47. Benzene is:

1) alkane

2) aromatic

3) alkyne

4) alkene

48 / 150

48. Boiling point elevation for molality 1.10 (Kb=0.512) is:

1) 0.512 K

2) 0.282 K

3) 0.563 K

4) 1.126 K

49 / 150

49. For a reaction with rate law rate=k[A]^2, if k=0.40 and [A]=2.00 M, rate is:

1) 1.600

2) 3.200

3) 0.800

4) 0.800

50 / 150

50. Change of base formula is:

1) log_a b = log_a c + log_c b

2) log_a b = log_b a

3) log_a b = log_c a / log_c b

4) log_a b = (log_c b)/(log_c a)

51 / 150

51. Sum of coefficients in expansion of (1+x)^12 is:

1) 12

2) 4096

3) 144

4) 2048

52 / 150

52. Weight of a body of mass 6 kg (g=9.8 m/s²) is:

1) 6.0 N

2) 29.4 N

3) 60.0 N

4) 58.8 N

53 / 150

53. A polymer has molar mass 44000 g/mol. If repeat unit mass is 28 g/mol, degree of polymerization is:

1) 28

2) 786

3) 1571

4) 3143

54 / 150

54. Oxidation state of Fe in [Fe(CN)6]4− is:

1) 0

2) +3

3) +4

4) +2

55 / 150

55. A radioactive sample has 900 nuclei initially. After two half-lives, remaining nuclei are:

1) 255

2) 450

3) 225

4) 112

56 / 150

56. If E°cathode=0.74 V and E°anode=-0.56 V, then E°cell is:

1) 1.20 V

2) 1.30 V

3) 0.74 V

4) 1.40 V

57 / 150

57. A current 5.0 A flows for 1080 s. Charge Q is 5400 C. Moles of electrons passed (F=96500) is:

1) 0.0560

2) 0.1119

3) 0.0540

4) 0.0280

58 / 150

58. Derivative of e^x is:

1) ln x

2) 1/x

3) e^x

4) x e^(x-1)

59 / 150

59. For sequence 2,5,8,11,… the nth term is:

1) 2n+3

2) 3n+2

3) n+3

4) 3n−1

60 / 150

60. PVC is polymer of:

1) vinyl chloride

2) ethene

3) tetrafluoroethylene

4) styrene

61 / 150

61. Magnetic flux through area 0.03 m² in uniform field 0.9 T (normal) is:

1) 0.0540 Wb

2) 0.90 Wb

3) 0.0270 Wb

4) 0.0135 Wb

62 / 150

62. For an ideal gas, at P=6 atm, V=4 L, T=320 K, moles n (R=0.082) is approximately:

1) 0.915

2) 24.000

3) 0.457

4) 1.829

63 / 150

63. Kinetic energy of mass m, speed v is:

1) mv^2

2) (1/2)mv

3) (1/2)mv^2

4) mv

64 / 150

64. A device of power 140 W runs for 30 s. Energy consumed is:

1) 2100 J

2) 4200 J

3) 170 J

4) 4.7 J

65 / 150

65. A body starts with u=16 m/s and accelerates at a=7 m/s² for t=5 s. Final velocity is:

1) 51 m/s

2) 35 m/s

3) 55 m/s

4) 80 m/s

66 / 150

66. Number of distinct arrangements of letters in the word ‘MATHS’ is:

1) 110

2) 5

3) 120

4) 130

67 / 150

67. Evaluate: lim(x→4) (x^2 – 16)/(x-4) equals:

1) 16

2) 4

3) 8

4) 9

68 / 150

68. If n(A)=29, n(B)=24 and n(A∩B)=6, then n(A∪B) is:

1) 50

2) 53

3) 47

4) 5

69 / 150

69. Trace of matrix [[1,5],[5,5]] is:

1) 10

2) 6

3) 7

4) 5

70 / 150

70. For a mirror with u=-70 cm and v=35 cm, magnification m = -v/u is:

1) 0.50

2) 1.00

3) 0.25

4) -0.50

71 / 150

71. In electrolysis, charge 11580 C is passed. Mass of Cu deposited (eq.wt=31.75, F=96500) is:

1) 1.00 g

2) 1.91 g

3) 3.81 g

4) 7.62 g

72 / 150

72. Standard equation of ellipse with semi-axes a=9, b=3 along x and y axes is:

1) x^2+y^2=1

2) x^2/81 + y^2/9 = 1

3) x^2/9 + y^2/3 = 1

4) x^2/9 + y^2/81 = 1

73 / 150

73. pH of 10^-1 M HCl (strong acid) is:

1) 0

2) 7

3) 2

4) 1

74 / 150

74. Light enters water (n=1.33) from air at i=45°. Angle of refraction is approximately:

1) 28.1°

2) 30.0°

3) 32.1°

4) 36.1°

75 / 150

75. For an exothermic reaction, ΔH is:

1) positive

2) zero

3) negative

4) undefined

76 / 150

76. Osmotic pressure of 0.45 M solution at 298 K (R=0.082) is:

1) 21.99 atm

2) 11.00 atm

3) 0.45 atm

4) 5.50 atm

77 / 150

77. Determinant of matrix [[4,1],[7,5]] is:

1) 27

2) 11

3) 15

4) 13

78 / 150

78. Electrical power for V=210 V and I=3 A is:

1) 630 W

2) 315 W

3) 1260 W

4) 213 W

79 / 150

79. A compound has %C=40.0, %H=6.7, %O=53.3. Empirical formula is:

1) CH2O

2) C2H4O2

3) C2H2O

4) CH4O

80 / 150

80. For a wave with f=70 Hz and λ=0.35 m, speed v is:

1) 49.00 m/s

2) 24.50 m/s

3) 12.25 m/s

4) 200.00 m/s

81 / 150

81. A body starts with u=12 m/s and accelerates at a=2 m/s² for t=4 s. Final velocity is:

1) 20 m/s

2) 8 m/s

3) 48 m/s

4) 24 m/s

82 / 150

82. For sparingly soluble salt AB(s) ⇌ A+ + B−, Ksp is:

1) 1/[A+][B−]

2) [A+][B−]

3) [A+]+[B−]

4) [AB]

83 / 150

83. Newton’s second law relates force with:

1) Power

2) Momentum change

3) Energy

4) Pressure

84 / 150

84. For a wave with f=90 Hz and λ=0.40 m, speed v is:

1) 18.00 m/s

2) 36.00 m/s

3) 225.00 m/s

4) 72.00 m/s

85 / 150

85. Solution set of |x| < 7 is:

1) x>7

2) -7 < x < 7

3) |x|>7

4) x<-7

86 / 150

86. Number of subsets of a set with 6 elements is:

1) 6

2) 32

3) 12

4) 64

87 / 150

87. If f(x) = 3x + 3, then f⁻¹(x) is:

1) (x+3)/3

2) (x-3)/3

3) (3x-3)

4) (3x+3)

88 / 150

88. Pressure when force 175 N acts on area 0.06 m² is:

1) 175 Pa

2) 1458 Pa

3) 5833 Pa

4) 2917 Pa

89 / 150

89. A catalyst increases rate of reaction by:

1) Increasing equilibrium constant

2) Changing products

3) Increasing ΔH

4) Lowering activation energy

90 / 150

90. Most polar bond among these is:

1) H–F

2) Cl–Cl

3) N–N

4) C–H

91 / 150

91. Moles of solute in 1.00 L of 0.20 M solution are:

1) 0.200 mol

2) 0.400 mol

3) 0.200 mol

4) 0.100 mol

92 / 150

92. Two bodies stick together: m1=3 kg at 6 m/s hits m2=4 kg at rest. Common velocity is:

1) 2.57 m/s

2) 5.14 m/s

3) 6.00 m/s

4) 1.29 m/s

93 / 150

93. Charge stored on a capacitor of 7 μF at 15 V is:

1) 15 μC

2) 52.5 μC

3) 7 μC

4) 105 μC

94 / 150

94. Two fair coins are tossed. Probability of getting exactly one head is:

1) 1/2

2) 3/4

3) 1/4

4) 1

95 / 150

95. Unit of molar conductivity is:

1) V/m

2) ohm

3) S cm^2 mol^-1

4) S m^-1

96 / 150

96. A radioactive sample has 1800 nuclei initially. After two half-lives, remaining nuclei are:

1) 450

2) 900

3) 225

4) 480

97 / 150

97. If y=6x^3, then dy/dx at x=2 is:

1) 72

2) 69

3) 75

4) 48

98 / 150

98. Unit of frequency is:

1) pascal

2) newton

3) hertz

4) joule

99 / 150

99. Current through resistance 15 Ω connected to 42 V supply is:

1) 14/5 A

2) 1 A

3) 15 A

4) 42 A

100 / 150

100. For quadratic 2x^2 + 6x + 2 = 0, discriminant D is:

1) 36

2) 20

3) 16

4) 24

101 / 150

101. A buffer solution is best prepared by mixing:

1) Weak acid and its salt with strong base

2) Pure water and salt

3) Strong acid and strong base

4) Strong acid and its salt

102 / 150

102. Energy of photon of wavelength 400 nm is approximately:

1) 3.10 eV

2) 6.20 eV

3) 1.55 eV

4) 3.10 eV

103 / 150

103. Surface area of sphere radius r is:

1) (4/3)πr³

2) 2πr

3) πr²

4) 4πr²

104 / 150

104. Equivalent resistance of 4 Ω and 11 Ω in parallel is:

1) 4 Ω

2) 44 Ω

3) 44/15 Ω

4) 15 Ω

105 / 150

105. pH of 10^-5 M HCl (strong acid) is:

1) 6

2) 4

3) 7

4) 5

106 / 150

106. SN1 reaction proceeds via formation of:

1) Carbanion intermediate

2) Free radical only

3) Carbocation intermediate

4) No intermediate

107 / 150

107. Determinant of identity matrix I₂ is:

1) -1

2) 2

3) 0

4) 1

108 / 150

108. Vitamin C is also known as:

1) Ascorbic acid

2) Benzoic acid

3) Citric acid

4) Acetic acid

109 / 150

109. According to Arrhenius equation, increasing temperature generally increases rate because:

1) Reaction stops

2) Activation energy becomes zero

3) Collision frequency becomes zero

4) More molecules have energy ≥ activation energy

110 / 150

110. Sum of first 13 terms of AP with a=8, d=6 is:

1) 578

2) 566

3) 572

4) 104

111 / 150

111. Evaluate: lim(x→5) (x^2 – 25)/(x-5) equals:

1) 5

2) 10

3) 25

4) 11

112 / 150

112. By Henry’s law, if solubility of a gas is S at pressure 1 atm, then at 2 atm it becomes:

1) S/2

2) 1/2 × S

3) 2S

4) 2/1 × S

113 / 150

113. Raoult’s law applies to:

1) ideal solutions

2) colloids

3) solids only

4) suspensions

114 / 150

114. Standard equation of ellipse with semi-axes a=7, b=4 along x and y axes is:

1) x^2+y^2=1

2) x^2/7 + y^2/4 = 1

3) x^2/16 + y^2/49 = 1

4) x^2/49 + y^2/16 = 1

115 / 150

115. Distance between (1,2) and (4,6) is:

1) √5

2) √25

3) √20

4) 5

116 / 150

116. Sum of first 11 terms of AP with a=7, d=7 is:

1) 469

2) 455

3) 462

4) 77

117 / 150

117. Transformer has Np=600, Ns=1000, Vp=220 V. Secondary voltage Vs is:

1) 220 V

2) 367 V

3) 183 V

4) 733 V

118 / 150

118. Hybridization of carbon in CO2 is:

1) sp2

2) sp

3) sp3

4) dsp2

119 / 150

119. A particle with u=15 m/s, a=3 m/s² moves for t=9 s. Displacement is:

1) 27.0 m

2) 135.0 m

3) 128.2 m

4) 256.5 m

120 / 150

120. Probability of getting an odd number on a die is:

1) 1/2

2) 1/6

3) 1/3

4) 2/3

121 / 150

121. 2.0 M solution of volume 15 mL is diluted to 120 mL. Final molarity is:

1) 0.500 M

2) 0.250 M

3) 0.125 M

4) 2.0 M

122 / 150

122. Magnetic flux through area 0.02 m² in uniform field 1.3 T (normal) is:

1) 1.30 Wb

2) 0.0520 Wb

3) 0.0130 Wb

4) 0.0260 Wb

123 / 150

123. pH of 10^-2 M NaOH (strong base) is:

1) 2

2) 12

3) 13

4) 11

124 / 150

124. Direction of induced current opposes the cause producing it is given by:

1) Kirchhoff’s law

2) Lenz’s law

3) Ohm’s law

4) Coulomb’s law

125 / 150

125. Current through resistance 9 Ω connected to 18 V supply is:

1) 9 A

2) 18 A

3) 2 A

4) 1 A

126 / 150

126. Which equation is correct for uniform acceleration?

1) v=u+at

2) v=u-at

3) s=ut-at^2

4) v^2=u^2-a s

127 / 150

127. If y = 2x + 2, then y-intercept is:

1) 2

2) -2

3) 2

4) 4

128 / 150

128. Pressure when force 225 N acts on area 0.08 m² is:

1) 1406 Pa

2) 225 Pa

3) 5625 Pa

4) 2812 Pa

129 / 150

129. A bag has 4 red and 5 blue balls. One ball is drawn. P(red) is:

1) 5/9

2) 4/9

3) 4/10

4) 9/4

130 / 150

130. If y=7x^4, then dy/dx at x=4 is:

1) 1792

2) 1792

3) 1796

4) 1788

131 / 150

131. If log₃ 81 = x, then x is:

1) 2

2) 5

3) 3

4) 4

132 / 150

132. Which identity is correct?

1) 1+cot²θ=sin²θ

2) sin²θ+cos²θ=1

3) tan²θ+1=cos²θ

4) sin²θ−cos²θ=1

133 / 150

133. Slope of line joining (2,5) and (6,9) is:

1) 1

2) 4

3) 1

4) 4

134 / 150

134. Dot product of vectors (6,4) and (4,2) is:

1) 27

2) 32

3) 16

4) 37

135 / 150

135. Coordination number of the central metal in [Co(NH3)6]Cl3 is:

1) 8

2) 3

3) 4

4) 6

136 / 150

136. Two bodies stick together: m1=1 kg at 9 m/s hits m2=2 kg at rest. Common velocity is:

1) 9.00 m/s

2) 3.00 m/s

3) 6.00 m/s

4) 1.50 m/s

137 / 150

137. Unit of electric field is:

1) A

2) Ω

3) V/m

4) C

138 / 150

138. Normality of H3PO4 solution of 1.25 M is:

1) 7.50 N

2) 1.25 N

3) 1.88 N

4) 3.75 N

139 / 150

139. Adsorption is a:

1) bulk phenomenon

2) none

3) nuclear phenomenon

4) surface phenomenon

140 / 150

140. Slope of line joining (6,2) and (9,7) is:

1) 5/3

2) 3

3) 5

4) 5

141 / 150

141. Trace of matrix [[5,4],[5,2]] is:

1) 10

2) 9

3) 8

4) 7

142 / 150

142. Equivalent resistance of 12 Ω and 10 Ω in parallel is:

1) 60/11 Ω

2) 120 Ω

3) 10 Ω

4) 22 Ω

143 / 150

143. Isotopes have same:

1) atomic number

2) mass number

3) neutron number

4) mass

144 / 150

144. Kinetic energy of mass 3 kg moving at 8 m/s is:

1) 96.0 J

2) 24.0 J

3) 192.0 J

4) 192.0 J

145 / 150

145. Heat required to raise 50 g water by 10°C (c=4.2 J/g°C) is:

1) 4200 J

2) 2100 J

3) 500 J

4) 1050 J

146 / 150

146. Gravitational potential energy of mass 8 kg at height 8 m (g=9.8) is:

1) 64.0 J

2) 1254.4 J

3) 627.2 J

4) 313.6 J

147 / 150

147. Many transition metal compounds are colored due to:

1) no transitions

2) nuclear transitions

3) s–p transitions

4) d–d transitions

148 / 150

148. On oxidation, an aldehyde generally forms:

1) Alcohol

2) Carboxylic acid

3) Alkane

4) Ether

149 / 150

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

1) 60°

2) 45°

3) 90°

4) 30°

150 / 150

150. Atomic radius generally decreases across a period because:

1) Effective nuclear charge increases

2) Nuclear charge decreases

3) Screening becomes zero

4) Number of shells increases

The average score is 57%

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