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

1) 1.00 s

2) 0.79 s

3) 0.20 s

4) 0.40 s

2 / 150

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

1) 1.30 V

2) 0.74 V

3) 1.20 V

4) 1.40 V

3 / 150

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

1) 77

2) 455

3) 469

4) 462

4 / 150

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

1) 5.0 m

2) 45.0 m

3) 28.8 m

4) 57.5 m

5 / 150

5. Speed of light is maximum in:

1) glass

2) air

3) water

4) diamond

6 / 150

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

1) 16

2) 64

3) 28

4) 56

7 / 150

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

1) 7 μC

2) 15 μC

3) 52.5 μC

4) 105 μC

8 / 150

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

1) 3.96 s

2) 2.86 s

3) 1.98 s

4) 0.99 s

9 / 150

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

1) 6.0 N

2) 58.8 N

3) 29.4 N

4) 60.0 N

10 / 150

10. Benzene is:

1) aromatic

2) alkane

3) alkene

4) alkyne

11 / 150

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

1) Lenz’s law

2) Ohm’s law

3) Kirchhoff’s law

4) Coulomb’s law

12 / 150

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

1) [A]/[B]

2) 1/[A][B]

3) [A][B]

4) [B]/[A]

13 / 150

13. Most polar bond among these is:

1) N–N

2) H–F

3) Cl–Cl

4) C–H

14 / 150

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

1) 5.50 atm

2) 11.00 atm

3) 21.99 atm

4) 0.45 atm

15 / 150

15. If f(x) = 4x + 7, then f⁻¹(x) is:

1) (x+7)/4

2) (x-7)/4

3) (4x-7)

4) (4x+7)

16 / 150

16. 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) 1.829

4) 0.457

17 / 150

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

1) 172 W

2) 680 W

3) 170 W

4) 340 W

18 / 150

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

1) 4200 J

2) 4.7 J

3) 2100 J

4) 170 J

19 / 150

19. (i)² equals:

1) -i

2) i

3) -1

4) 1

20 / 150

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

1) 42.0 J

2) 205.8 J

3) 823.2 J

4) 411.6 J

21 / 150

21. Energy of photon is:

1) c/λ

2) h/λ

3) hλ/c

4) hc/λ

22 / 150

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

1) 4

2) 4

3) 1

4) 1

23 / 150

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

1) 8

2) 6

3) 3

4) 4

24 / 150

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

1) 1.00 g

2) 3.81 g

3) 7.62 g

4) 1.91 g

25 / 150

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

1) 16

2) 4

3) 8

4) 9

26 / 150

26. Derivative of e^x is:

1) 1/x

2) ln x

3) x e^(x-1)

4) e^x

27 / 150

27. 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

28 / 150

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

1) 1/3

2) 2/3

3) 1/6

4) 1/2

29 / 150

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

1) 10

2) 8

3) 9

4) 7

30 / 150

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

1) 3n+2

2) n+3

3) 2n+3

4) 3n−1

31 / 150

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

1) |x|>8

2) -8 < x < 8

3) x<-8

4) x>8

32 / 150

32. Deviation from ideal behavior is maximum at:

1) high T high P

2) high T low P

3) low T low P

4) low T high P

33 / 150

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

1) [A+][B−]

2) [A+]+[B−]

3) [AB]

4) 1/[A+][B−]

34 / 150

34. 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

35 / 150

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

1) 120.0 μC

2) 8 μC

3) 240 μC

4) 30 μC

36 / 150

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

1) 44 Ω

2) 15 Ω

3) 4 Ω

4) 44/15 Ω

37 / 150

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

1) CH2O

2) C2H2O

3) CH4O

4) C2H4O2

38 / 150

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

1) -23.00 kJ

2) -33.00 kJ

3) -55.00 kJ

4) -28.00 kJ

39 / 150

39. Unit of molar conductivity is:

1) S cm^2 mol^-1

2) ohm

3) S m^-1

4) V/m

40 / 150

40. SN1 reaction proceeds via formation of:

1) Carbanion intermediate

2) Carbocation intermediate

3) No intermediate

4) Free radical only

41 / 150

41. NO2+ is a/an:

1) nucleophile

2) radical

3) base

4) electrophile

42 / 150

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

1) 1796

2) 1792

3) 1792

4) 1788

43 / 150

43. Many transition metal compounds are colored due to:

1) d–d transitions

2) s–p transitions

3) nuclear transitions

4) no transitions

44 / 150

44. A catalyst increases rate of reaction by:

1) Increasing ΔH

2) Lowering activation energy

3) Increasing equilibrium constant

4) Changing products

45 / 150

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

1) x<-7

2) |x|>7

3) x>7

4) -7 < x < 7

46 / 150

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

1) 10

2) 6

3) 7

4) 5

47 / 150

47. 2.0 M solution of volume 15 mL is diluted to 120 mL. Final molarity is:

1) 2.0 M

2) 0.250 M

3) 0.125 M

4) 0.500 M

48 / 150

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

1) 1050 J

2) 500 J

3) 2100 J

4) 4200 J

49 / 150

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

1) 1254.4 J

2) 64.0 J

3) 627.2 J

4) 313.6 J

50 / 150

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

1) 60°

2) 90°

3) 45°

4) 30°

51 / 150

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

1) 12

2) 4096

3) 2048

4) 144

52 / 150

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

1) mv

2) (1/2)mv^2

3) (1/2)mv

4) mv^2

53 / 150

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

1) 110

2) 5

3) 130

4) 120

54 / 150

54. 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) 0.003200 m

4) 0.000040 m

55 / 150

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

1) 16

2) 20

3) 24

4) 36

56 / 150

56. 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

57 / 150

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

1) 112

2) 225

3) 450

4) 255

58 / 150

58. 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

59 / 150

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

1) 3.10 eV

2) 1.55 eV

3) 3.10 eV

4) 6.20 eV

60 / 150

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

1) 4.13 eV

2) 2.07 eV

3) 3.10 eV

4) 1.03 eV

61 / 150

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

1) 43

2) 50

3) 4

4) 40

62 / 150

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

1) 50

2) 47

3) 53

4) 5

63 / 150

63. Normality of H3PO4 solution of 1.25 M is:

1) 1.25 N

2) 7.50 N

3) 1.88 N

4) 3.75 N

64 / 150

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

1) 2

2) 4

3) -2

4) 2

65 / 150

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

1) 53

2) 63

3) 21

4) 58

66 / 150

66. Hybridization of carbon in CO2 is:

1) sp2

2) dsp2

3) sp3

4) sp

67 / 150

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

1) 2917 Pa

2) 175 Pa

3) 1458 Pa

4) 5833 Pa

68 / 150

68. 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) 0.1119

3) 0.0540

4) 0.0560

69 / 150

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

1) 130

2) 5

3) 110

4) 120

70 / 150

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

1) 14/5 A

2) 15 A

3) 1 A

4) 42 A

71 / 150

71. PVC is polymer of:

1) ethene

2) styrene

3) tetrafluoroethylene

4) vinyl chloride

72 / 150

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

1) 11

2) 13

3) 12

4) 2

73 / 150

73. On oxidation, an aldehyde generally forms:

1) Alkane

2) Alcohol

3) Ether

4) Carboxylic acid

74 / 150

74. Atomic radius generally decreases across a period because:

1) Screening becomes zero

2) Effective nuclear charge increases

3) Nuclear charge decreases

4) Number of shells increases

75 / 150

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

1) 0.18 s

2) 0.73 s

3) 1.00 s

4) 0.36 s

76 / 150

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

1) 6

2) 14

3) 12

4) 36

77 / 150

77. Equivalent resistance in series is:

1) product

2) reciprocal sum

3) difference

4) sum

78 / 150

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

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

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

3) x^2+y^2=1

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

79 / 150

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

1) 572

2) 104

3) 566

4) 578

80 / 150

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

1) 5

2) 4

3) 7

4) 6

81 / 150

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

1) Collision frequency becomes zero

2) Reaction stops

3) Activation energy becomes zero

4) More molecules have energy ≥ activation energy

82 / 150

82. 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

83 / 150

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

1) 16

2) 32

3) 37

4) 27

84 / 150

84. For an exothermic reaction, ΔH is:

1) positive

2) negative

3) zero

4) undefined

85 / 150

85. 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) 5.14 m/s

4) 1.29 m/s

86 / 150

86. Isotopes have same:

1) mass number

2) mass

3) neutron number

4) atomic number

87 / 150

87. Raoult’s law applies to:

1) ideal solutions

2) colloids

3) suspensions

4) solids only

88 / 150

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

1) -0.50

2) 0.25

3) 0.50

4) 1.00

89 / 150

89. 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

90 / 150

90. If f(x) = 3x + 3, then f⁻¹(x) is:

1) (x+3)/3

2) (3x-3)

3) (x-3)/3

4) (3x+3)

91 / 150

91. Compute: ∫₀^4 (6x+3) dx equals:

1) 60

2) 27

3) 36

4) 60

92 / 150

92. Which identity is correct?

1) sin²θ+cos²θ=1

2) tan²θ+1=cos²θ

3) sin²θ−cos²θ=1

4) 1+cot²θ=sin²θ

93 / 150

93. 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

94 / 150

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

1) 3/4

2) 1/2

3) 1

4) 1/4

95 / 150

95. 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

96 / 150

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

1) 24.50 m/s

2) 200.00 m/s

3) 49.00 m/s

4) 12.25 m/s

97 / 150

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

1) 2812 Pa

2) 225 Pa

3) 1406 Pa

4) 5625 Pa

98 / 150

98. Prefix ‘micro’ (μ) represents:

1) 10^-3

2) 10^-9

3) 10^6

4) 10^-6

99 / 150

99. Determinant of identity matrix I₂ is:

1) 1

2) -1

3) 0

4) 2

100 / 150

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

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

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

3) x^2+y^2=1

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

101 / 150

101. Compute: ∫₀^5 (4x+5) dx equals:

1) 75

2) 45

3) 25

4) 75

102 / 150

102. Oxidation is:

1) gain of protons

2) gain of electrons

3) loss of electrons

4) loss of neutrons

103 / 150

103. Change of base formula is:

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

2) log_a b = log_a c + log_c b

3) log_a b = log_c a / log_c b

4) log_a b = log_b a

104 / 150

104. 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) 1.600

3) 0.800

4) 3.200

105 / 150

105. 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) 36.00 m/s

4) 225.00 m/s

106 / 150

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

1) 30.0°

2) 36.1°

3) 32.1°

4) 28.1°

107 / 150

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

1) 18 A

2) 1 A

3) 9 A

4) 2 A

108 / 150

108. Unit of frequency is:

1) pascal

2) newton

3) joule

4) hertz

109 / 150

109. Vitamin C is also known as:

1) Ascorbic acid

2) Citric acid

3) Benzoic acid

4) Acetic acid

110 / 150

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

1) 35.0 J

2) 245.0 J

3) 122.5 J

4) 245.0 J

111 / 150

111. 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

112 / 150

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

1) 0.20 M

2) 0.33 M

3) 1.33 M

4) 0.67 M

113 / 150

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

1) 28.00%

2) 7.00%

3) 7.00%

4) 14.00%

114 / 150

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

1) 75

2) 48

3) 72

4) 69

115 / 150

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

1) 24 m/s

2) 8 m/s

3) 48 m/s

4) 20 m/s

116 / 150

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

1) 50.0 N

2) 5.0 N

3) 49.0 N

4) 24.5 N

117 / 150

117. If log₃ 81 = x, then x is:

1) 2

2) 5

3) 4

4) 3

118 / 150

118. Which compound gives positive iodoform test?

1) CH3COCH3

2) CH3CH2CH3

3) CH3COOH

4) C6H6

119 / 150

119. Unit of electric field is:

1) C

2) A

3) V/m

4) Ω

120 / 150

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

1) 0.715

2) 0.515

3) 0.385

4) 0.615

121 / 150

121. 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

122 / 150

122. 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) 80 m/s

3) 35 m/s

4) 55 m/s

123 / 150

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

1) -4

2) 4

3) 0

4) 4

124 / 150

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

1) 27

2) 13

3) 11

4) 15

125 / 150

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

1) 0

2) 7

3) 1

4) 2

126 / 150

126. 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

127 / 150

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

1) 0.200 mol

2) 0.200 mol

3) 0.400 mol

4) 0.100 mol

128 / 150

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

1) √20

2) √25

3) 5

4) √5

129 / 150

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

1) 1.50 m/s

2) 9.00 m/s

3) 3.00 m/s

4) 6.00 m/s

130 / 150

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

1) 630 W

2) 1260 W

3) 213 W

4) 315 W

131 / 150

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

1) B

2) A

3) Cannot decide

4) None

132 / 150

132. A buffer solution is best prepared by mixing:

1) Pure water and salt

2) Strong acid and strong base

3) Strong acid and its salt

4) Weak acid and its salt with strong base

133 / 150

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

1) 1.126 K

2) 0.563 K

3) 0.282 K

4) 0.512 K

134 / 150

134. Newton’s second law relates force with:

1) Pressure

2) Power

3) Energy

4) Momentum change

135 / 150

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

1) 4096

2) 169

3) 13

4) 8192

136 / 150

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

1) -5

2) -9

3) -7

4) 23

137 / 150

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

1) 5/3

2) 3

3) 5

4) 5

138 / 150

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

1) 480

2) 900

3) 225

4) 450

139 / 150

139. 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

140 / 150

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

1) 60/11 Ω

2) 10 Ω

3) 120 Ω

4) 22 Ω

141 / 150

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

1) 367 V

2) 220 V

3) 733 V

4) 183 V

142 / 150

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

1) 64

2) 18

3) 16

4) 8

143 / 150

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

1) +4

2) +3

3) +2

4) 0

144 / 150

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

1) 7

2) 4

3) 3

4) -3

145 / 150

145. Surface area of sphere radius r is:

1) 2πr

2) (4/3)πr³

3) πr²

4) 4πr²

146 / 150

146. 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) 0.008

4) 0.015

147 / 150

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

1) Only catalyst side

2) No change

3) Product side

4) Reactant side

148 / 150

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

1) 64

2) 32

3) 6

4) 12

149 / 150

149. Adsorption is a:

1) none

2) bulk phenomenon

3) surface phenomenon

4) nuclear phenomenon

150 / 150

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

1) 10

2) 5

3) 11

4) 25

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