MHTCET B.TECH TYPE 5

0 votes, 0 avg

Timer Started ✅ (MHT-CET PCM Practice Test)
Total Duration: 180 Minutes (3 Hours) CET Cell+1
No Negative Marking—attempt confidently, but avoid careless mistakes. CET Cell+1
All the best! ✅

Time Over ⏳
Your responses have been submitted automatically.
Now review solutions, note mistakes, and revise weak topics to improve your score. ✅

MHTCET B.TECH TYPE 5

Please fill your details to access the mock test

Provide your correct Name, Mobile Number, City, and Email ID to receive
new mock test updates, rank analysis, and important exam notifications.

🔒 Your data is 100% safe. We never share your information with anyone.
It will be used only to inform you about new test releases and result updates.

1 / 150

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

1) 566

2) 104

3) 572

4) 578

2 / 150

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

1) 1.98 s

2) 2.86 s

3) 0.99 s

4) 3.96 s

3 / 150

3. For an exothermic reaction, ΔH is:

1) zero

2) undefined

3) positive

4) negative

4 / 150

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

1) 480

2) 900

3) 450

4) 225

5 / 150

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

1) 5

2) 5/3

3) 5

4) 3

6 / 150

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

1) x<-7

2) |x|>7

3) x>7

4) -7 < x < 7

7 / 150

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

1) 56

2) 28

3) 64

4) 16

8 / 150

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

1) Collision frequency becomes zero

2) Activation energy becomes zero

3) More molecules have energy ≥ activation energy

4) Reaction stops

9 / 150

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

1) 120.0 μC

2) 30 μC

3) 8 μC

4) 240 μC

10 / 150

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

1) 462

2) 77

3) 469

4) 455

11 / 150

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

1) 96.0 J

2) 192.0 J

3) 192.0 J

4) 24.0 J

12 / 150

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

1) 0.20 s

2) 0.40 s

3) 0.79 s

4) 1.00 s

13 / 150

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

1) 4/10

2) 9/4

3) 5/9

4) 4/9

14 / 150

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

1) x<-8

2) x>8

3) |x|>8

4) -8 < x < 8

15 / 150

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

1) 1792

2) 1788

3) 1792

4) 1796

16 / 150

16. 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) 1.00 s

4) 0.18 s

17 / 150

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

1) 7

2) 4

3) 3

4) -3

18 / 150

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

1) 3.10 eV

2) 1.55 eV

3) 6.20 eV

4) 3.10 eV

19 / 150

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

1) 16/7

2) 7/16

3) 9/16

4) 7/17

20 / 150

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

1) 2000 J

2) 120 J

3) 1000 J

4) 5.0 J

21 / 150

21. 2.0 M solution of volume 15 mL is diluted to 120 mL. Final molarity is:

1) 0.125 M

2) 2.0 M

3) 0.250 M

4) 0.500 M

22 / 150

22. If f(x) = 4x + 7, then f⁻¹(x) is:

1) (x-7)/4

2) (4x+7)

3) (4x-7)

4) (x+7)/4

23 / 150

23. Which compound gives positive iodoform test?

1) CH3COOH

2) C6H6

3) CH3CH2CH3

4) CH3COCH3

24 / 150

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

1) 110

2) 120

3) 5

4) 130

25 / 150

25. Atomic radius generally decreases across a period because:

1) Screening becomes zero

2) Number of shells increases

3) Nuclear charge decreases

4) Effective nuclear charge increases

26 / 150

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

1) 72.00 m/s

2) 18.00 m/s

3) 225.00 m/s

4) 36.00 m/s

27 / 150

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

1) 1.40 V

2) 0.74 V

3) 1.30 V

4) 1.20 V

28 / 150

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

1) 64

2) 12

3) 6

4) 32

29 / 150

29. PVC is polymer of:

1) tetrafluoroethylene

2) styrene

3) vinyl chloride

4) ethene

30 / 150

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

1) 1/2 × S

2) 2S

3) S/2

4) 2/1 × S

31 / 150

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

1) 6.00 m/s

2) 2.57 m/s

3) 1.29 m/s

4) 5.14 m/s

32 / 150

32. Energy of photon is:

1) hc/λ

2) h/λ

3) hλ/c

4) c/λ

33 / 150

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

1) 15

2) 13

3) 11

4) 27

34 / 150

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

1) 8

2) 4

3) 9

4) 16

35 / 150

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

1) 7

2) 6

3) 4

4) 5

36 / 150

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

1) 3.81 g

2) 1.00 g

3) 7.62 g

4) 1.91 g

37 / 150

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

1) 2 A

2) 9 A

3) 1 A

4) 18 A

38 / 150

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

1) 4

2) 1

3) 4

4) 1

39 / 150

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

1) 225

2) 255

3) 450

4) 112

40 / 150

40. Newton’s second law relates force with:

1) Energy

2) Power

3) Pressure

4) Momentum change

41 / 150

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

1) 15 A

2) 14/5 A

3) 1 A

4) 42 A

42 / 150

42. Raoult’s law applies to:

1) colloids

2) solids only

3) suspensions

4) ideal solutions

43 / 150

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

1) 10

2) 7

3) 8

4) 9

44 / 150

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

1) 1254.4 J

2) 64.0 J

3) 313.6 J

4) 627.2 J

45 / 150

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

1) -0.50

2) 1.00

3) 0.50

4) 0.25

46 / 150

46. Adsorption is a:

1) bulk phenomenon

2) none

3) surface phenomenon

4) nuclear phenomenon

47 / 150

47. SN1 reaction proceeds via formation of:

1) Free radical only

2) No intermediate

3) Carbanion intermediate

4) Carbocation intermediate

48 / 150

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

1) B

2) None

3) A

4) Cannot decide

49 / 150

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

1) 0

2) 7

3) 1

4) 2

50 / 150

50. Isotopes have same:

1) mass

2) mass number

3) atomic number

4) neutron number

51 / 150

51. Most polar bond among these is:

1) N–N

2) Cl–Cl

3) H–F

4) C–H

52 / 150

52. Prefix ‘micro’ (μ) represents:

1) 10^-6

2) 10^-3

3) 10^6

4) 10^-9

53 / 150

53. Vitamin C is also known as:

1) Acetic acid

2) Benzoic acid

3) Citric acid

4) Ascorbic acid

54 / 150

54. Unit of molar conductivity is:

1) S m^-1

2) V/m

3) S cm^2 mol^-1

4) ohm

55 / 150

55. If log₃ 81 = x, then x is:

1) 3

2) 4

3) 5

4) 2

56 / 150

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

1) 11

2) 2

3) 12

4) 13

57 / 150

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

1) 0.015

2) 0.030

3) 0.500

4) 0.008

58 / 150

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

1) 7.00%

2) 28.00%

3) 7.00%

4) 14.00%

59 / 150

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

1) 42.0 J

2) 823.2 J

3) 205.8 J

4) 411.6 J

60 / 150

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

1) 5625 Pa

2) 225 Pa

3) 2812 Pa

4) 1406 Pa

61 / 150

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

1) 248 V

2) 990 V

3) 220 V

4) 495 V

62 / 150

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

1) 0.50

2) 1.00

3) -0.50

4) 0.25

63 / 150

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

1) 0.800

2) 0.800

3) 3.200

4) 1.600

64 / 150

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

1) 60.0 N

2) 6.0 N

3) 29.4 N

4) 58.8 N

65 / 150

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

1) 10

2) 6

3) 5

4) 7

66 / 150

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

1) 3.00 m/s

2) 6.00 m/s

3) 9.00 m/s

4) 1.50 m/s

67 / 150

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

1) 16

2) 32

3) 37

4) 27

68 / 150

68. 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) 0.003200 m

3) 0.001600 m

4) 0.000040 m

69 / 150

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

1) 60/11 Ω

2) 22 Ω

3) 10 Ω

4) 120 Ω

70 / 150

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

1) 0

2) +2

3) +4

4) +3

71 / 150

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

1) 21

2) 53

3) 58

4) 63

72 / 150

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

1) 5

2) 130

3) 120

4) 110

73 / 150

73. Surface area of sphere radius r is:

1) (4/3)πr³

2) 2πr

3) πr²

4) 4πr²

74 / 150

74. On oxidation, an aldehyde generally forms:

1) Alkane

2) Carboxylic acid

3) Alcohol

4) Ether

75 / 150

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

1) 0.400 mol

2) 0.100 mol

3) 0.200 mol

4) 0.200 mol

76 / 150

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

1) 12

2) 36

3) 6

4) 14

77 / 150

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

1) 2048

2) 144

3) 12

4) 4096

78 / 150

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

1) 3

2) 4

3) 8

4) 6

79 / 150

79. NO2+ is a/an:

1) nucleophile

2) base

3) radical

4) electrophile

80 / 150

80. Normality of H3PO4 solution of 1.25 M is:

1) 3.75 N

2) 1.88 N

3) 1.25 N

4) 7.50 N

81 / 150

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

1) 72

2) 69

3) 75

4) 48

82 / 150

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

1) 0.385

2) 0.515

3) 0.715

4) 0.615

83 / 150

83. 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) 0.457

3) 24.000

4) 1.829

84 / 150

84. Compute: ∫₀^5 (4x+5) dx equals:

1) 75

2) 45

3) 75

4) 25

85 / 150

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

1) 25

2) 5

3) 10

4) 11

86 / 150

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

1) 52.5 μC

2) 15 μC

3) 7 μC

4) 105 μC

87 / 150

87. Which identity is correct?

1) sin²θ−cos²θ=1

2) 1+cot²θ=sin²θ

3) tan²θ+1=cos²θ

4) sin²θ+cos²θ=1

88 / 150

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

1) 2100 J

2) 1050 J

3) 4200 J

4) 500 J

89 / 150

89. A catalyst increases rate of reaction by:

1) Changing products

2) Increasing ΔH

3) Lowering activation energy

4) Increasing equilibrium constant

90 / 150

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

1) (1/2)mv

2) mv

3) (1/2)mv^2

4) mv^2

91 / 150

91. Many transition metal compounds are colored due to:

1) d–d transitions

2) s–p transitions

3) no transitions

4) nuclear transitions

92 / 150

92. Unit of frequency is:

1) hertz

2) newton

3) joule

4) pascal

93 / 150

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

1) 36.1°

2) 30.0°

3) 32.1°

4) 28.1°

94 / 150

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

1) 122.5 J

2) 245.0 J

3) 35.0 J

4) 245.0 J

95 / 150

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

1) 4.13 eV

2) 3.10 eV

3) 1.03 eV

4) 2.07 eV

96 / 150

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

1) 64

2) 18

3) 16

4) 8

97 / 150

97. Oxidation is:

1) gain of electrons

2) loss of electrons

3) loss of neutrons

4) gain of protons

98 / 150

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

1) 80 m/s

2) 55 m/s

3) 35 m/s

4) 51 m/s

99 / 150

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

1) 680 W

2) 170 W

3) 172 W

4) 340 W

100 / 150

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

1) Kirchhoff’s law

2) Coulomb’s law

3) Ohm’s law

4) Lenz’s law

101 / 150

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

1) Only catalyst side

2) Reactant side

3) Product side

4) No change

102 / 150

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

1) 5833 Pa

2) 2917 Pa

3) 1458 Pa

4) 175 Pa

103 / 150

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

1) 630 W

2) 213 W

3) 315 W

4) 1260 W

104 / 150

104. 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

105 / 150

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

1) 1.30 Wb

2) 0.0260 Wb

3) 0.0520 Wb

4) 0.0130 Wb

106 / 150

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

1) 1/3

2) 2/3

3) 1/6

4) 1/2

107 / 150

107. Equivalent resistance in series is:

1) reciprocal sum

2) product

3) difference

4) sum

108 / 150

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

1) -2

2) 4

3) 2

4) 2

109 / 150

109. 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 b)/(log_c a)

4) log_a b = log_c a / log_c b

110 / 150

110. Compute: ∫₀^4 (6x+3) dx equals:

1) 36

2) 27

3) 60

4) 60

111 / 150

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

1) 49.0 N

2) 50.0 N

3) 5.0 N

4) 24.5 N

112 / 150

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

1) -23.00 kJ

2) -55.00 kJ

3) -33.00 kJ

4) -28.00 kJ

113 / 150

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

1) 4

2) 0

3) -4

4) 4

114 / 150

114. Speed of light is maximum in:

1) glass

2) air

3) diamond

4) water

115 / 150

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

1) -7

2) 23

3) -9

4) -5

116 / 150

116. A buffer solution is best prepared by mixing:

1) Strong acid and its salt

2) Weak acid and its salt with strong base

3) Pure water and salt

4) Strong acid and strong base

117 / 150

117. Benzene is:

1) alkane

2) aromatic

3) alkene

4) alkyne

118 / 150

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

1) 12.25 m/s

2) 49.00 m/s

3) 200.00 m/s

4) 24.50 m/s

119 / 150

119. Derivative of e^x is:

1) ln x

2) e^x

3) 1/x

4) x e^(x-1)

120 / 150

120. 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

121 / 150

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

1) [B]/[A]

2) [A][B]

3) 1/[A][B]

4) [A]/[B]

122 / 150

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

1) √20

2) √25

3) 5

4) √5

123 / 150

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

1) 4096

2) 169

3) 8192

4) 13

124 / 150

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

1) 40

2) 50

3) 4

4) 43

125 / 150

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

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

2) x^2+y^2=1

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

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

126 / 150

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

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

2) x^2+y^2=1

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

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

127 / 150

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

1) 1/[A+][B−]

2) [A+][B−]

3) [AB]

4) [A+]+[B−]

128 / 150

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

1) 3n−1

2) 2n+3

3) n+3

4) 3n+2

129 / 150

129. Which equation is correct for uniform acceleration?

1) v=u+at

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

3) v=u-at

4) s=ut-at^2

130 / 150

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

1) 183 V

2) 220 V

3) 367 V

4) 733 V

131 / 150

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

1) C2H2O

2) C2H4O2

3) CH2O

4) CH4O

132 / 150

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

1) 786

2) 28

3) 1571

4) 3143

133 / 150

133. Determinant of identity matrix I₂ is:

1) -1

2) 2

3) 0

4) 1

134 / 150

134. (i)² equals:

1) -1

2) -i

3) i

4) 1

135 / 150

135. 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

136 / 150

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

1) 24

2) 36

3) 20

4) 16

137 / 150

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

1) 0.20 M

2) 0.67 M

3) 0.33 M

4) 1.33 M

138 / 150

138. 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) 24 m/s

4) 48 m/s

139 / 150

139. If f(x) = 3x + 3, then f⁻¹(x) is:

1) (x-3)/3

2) (3x-3)

3) (3x+3)

4) (x+3)/3

140 / 150

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

1) 57.5 m

2) 28.8 m

3) 45.0 m

4) 5.0 m

141 / 150

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

1) 0.0540 Wb

2) 0.0270 Wb

3) 0.0135 Wb

4) 0.90 Wb

142 / 150

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

1) 44 Ω

2) 15 Ω

3) 4 Ω

4) 44/15 Ω

143 / 150

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

1) 2100 J

2) 4.7 J

3) 170 J

4) 4200 J

144 / 150

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

1) 60°

2) 90°

3) 45°

4) 30°

145 / 150

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

1) 21.99 atm

2) 5.50 atm

3) 11.00 atm

4) 0.45 atm

146 / 150

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

1) 1

2) 1/2

3) 1/4

4) 3/4

147 / 150

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

1) 0.0280

2) 0.0560

3) 0.0540

4) 0.1119

148 / 150

148. Hybridization of carbon in CO2 is:

1) sp3

2) sp

3) dsp2

4) sp2

149 / 150

149. Unit of electric field is:

1) C

2) A

3) V/m

4) Ω

150 / 150

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

1) 5

2) 53

3) 47

4) 50

The average score is 57%

Rate this mock test

Thank you for your feedback.

Report a question

Please fill your details to access the mock test

Leave a Comment Cancel Reply