BITSAT TYPE 2 – Start Exam

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BITSAT TYPE 2

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1 / 130

1. If f(x)=4x+4, then f⁻¹(x) equals

1) (x-4)/4

2) (x+4)/4

3) Option 4

4) (4x+4)

2 / 130

2. Distance between points (2,7) and (3,8) is

1) √3

2) Option 4

3) 2

4) √2

3 / 130

3. A person walks 6 km North and then 5 km East. Distance from start is

1) 11.00 km

2) 7.81 km

3) 1.00 km

4) 61.00 km

4 / 130

4. For a first-order reaction with k=0.290 s⁻¹, half-life is

1) 3.45 s

2) 2.39 s

3) 4.78 s

4) 1.19 s

5 / 130

5. A resistor 3 Ω is connected to 18 V source. Current through it is

1) 0.167 A

2) 3.00 A

3) 6.00 A

4) 54.00 A

6 / 130

6. Tyndall effect is observed in

1) Pure solids

2) Colloidal solutions

3) True solutions

4) Ideal gases only

7 / 130

7. If A and B are mutually exclusive events, then P(A∩B) equals

1) P(A)+P(B)

2) 0

3) P(A)P(B)

4) 1

8 / 130

8. In a row, E is to the left of B and A is to the right of D. Which can be in the middle?

1) C

2) E

3) B

4) A

9 / 130

9. A substance of molar mass 58.5 g/mol has mass 30 g. Number of moles is

1) 0.513 mol

2) 1755.0 mol

3) 1.950 mol

4) 5.128 mol

10 / 130

10. A wave has frequency 300 Hz and wavelength 0.65 m. Its speed is

1) 390.00 m/s

2) 0.002167 m/s

3) 195.00 m/s

4) 461.54 m/s

11 / 130

11. Which number does NOT belong to the group: 2, 3, 5, 11, 17?

1) 11

2) 2

3) 5

4) 3

12 / 130

12. A particle has initial velocity 12 m/s and constant acceleration 1 m/s² for 5 s. Its final velocity is

1) 60 m/s

2) 12.20 m/s

3) 17 m/s

4) 7 m/s

13 / 130

13. One-word substitution: ‘A person who can use both hands equally well’ is

1) ambivalent

2) anonymous

3) omnivorous

4) ambidextrous

14 / 130

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

1) Option 3

2) 1

3) Option 4

4) 4

15 / 130

15. Hybridization of carbon in CO₂ is

1) sp

2) dsp²

3) sp³

4) sp²

16 / 130

16. Sum of first 6 terms of GP with a=7, r=4 is

1) 9555

2) 7168

3) 42

4) 9559

17 / 130

17. In a row, B is to the left of A and D is to the right of C. Which can be in the middle?

1) A

2) B

3) D

4) E

18 / 130

18. If each letter is shifted forward by 1 positions (A→B for shift 1), the code for BITS is

1) DKVU

2) CJUT

3) BITS

4) STIB

19 / 130

19. Cloze: She spoke ____ softly that we could hardly hear her.

1) very

2) so

3) too

4) such

20 / 130

20. PVC is the polymer of

1) Ethene

2) Styrene

3) Vinyl chloride

4) Tetrafluoroethylene

21 / 130

21. A 7 kg mass rests on a horizontal surface. The normal reaction (g=9.8 m/s²) is

1) 68.6 N

2) 70.0 N

3) 34.3 N

4) 7.0 N

22 / 130

22. 2.10 M solution of volume 30 mL is diluted to 125 mL. Final molarity is

1) 2.100 M

2) 8.750 M

3) 0.504 M

4) 1.008 M

23 / 130

23. Choose the synonym of ‘mitigate’:

1) ignore

2) reveal

3) alleviate

4) worsen

24 / 130

24. Which gives positive iodoform test?

1) C₆H₆

2) CH₃COOH

3) CH₃CH₂CH₃

4) CH₃COCH₃ (acetone)

25 / 130

25. Distance between points (1,6) and (3,7) is

1) 5

2) √6

3) √5

4) 3

26 / 130

26. A buffer solution is best prepared by mixing

1) Strong base and its salt

2) Weak acid and its salt

3) Strong acid and strong base

4) Only pure water

27 / 130

27. Distance between points (4,3) and (10,6) is

1) √45

2) 45

3) 9

4) √46

28 / 130

28. The momentum of a body of mass 5 kg moving at 7 m/s is

1) 17.5 kg·m/s

2) 35 kg·m/s

3) 245 kg·m/s

4) 12 kg·m/s

29 / 130

29. Number of distinct arrangements of letters in ‘LEVEL’ is

1) 40

2) 30

3) 20

4) 5

30 / 130

30. How many letters are there between ‘C’ and the 6th letter after ‘C’ in English alphabet?

1) 7

2) 6

3) 5

4) 0

31 / 130

31. Magnetic flux through area 0.08 m² in uniform field 0.8 T (normal) is

1) 0.88 Wb

2) 0.1280 Wb

3) 10.00 Wb

4) 0.0640 Wb

32 / 130

32. A net force of 20 N acts on a mass 8 kg. The acceleration produced is

1) 0.40 m/s²

2) 4.50 m/s²

3) 160.00 m/s²

4) 2.50 m/s²

33 / 130

33. If y=6x^3, then dy/dx at x=4 is

1) 384

2) 285

3) 288

4) 291

34 / 130

34. A device of power 100 W runs for 90 s. Energy consumed is

1) 9000 J

2) 190 J

3) 1.11 J

4) 4500 J

35 / 130

35. If it is true that ‘No squares are circles’, which statement must be true?

1) No circles are squares

2) Some squares are circles

3) Some circles are squares

4) All circles are squares

36 / 130

36. Acidic character of oxides across a period generally

1) Remains constant

2) Increases

3) Decreases

4) Becomes zero

37 / 130

37. Distance between points (9,6) and (11,7) is

1) 3

2) √5

3) √6

4) 5

38 / 130

38. Two capacitors 6 μF and 9 μF in parallel have equivalent capacitance

1) 54 μF

2) 9 μF

3) 3.60 μF

4) 15 μF

39 / 130

39. Light enters water (n=1.33) from air at angle i=50°. Angle of refraction is approximately

1) 37.6°

2) 90.0°

3) 35.2°

4) 66.5°

40 / 130

40. An ideal gas at P=1 atm, V=5 L, T=380 K has moles n (R=0.082) approximately

1) 0.321

2) 0.160

3) 5.000

4) 6.232

41 / 130

41. Evaluate lim(x→3) (x²−9)/(x−3)

1) 3

2) 6

3) 7

4) 9

42 / 130

42. If current is 0.80 A through resistance 2.0 Ω, potential difference is

1) 3.20 V

2) 2.80 V

3) 0.40 V

4) 1.60 V

43 / 130

43. Sum of first 10 terms of GP with a=9, r=3 is

1) 265719

2) 177147

3) 265716

4) 90

44 / 130

44. Distance between points (6,4) and (10,6) is

1) √20

2) 20

3) 6

4) √21

45 / 130

45. For quadratic equation 3x² + 8x + 3 = 0, the discriminant is

1) 24

2) 32

3) 28

4) 64

46 / 130

46. A particle moves in a circle of radius 9 m with speed 9 m/s. Centripetal acceleration is

1) 729.00 m/s²

2) 1.00 m/s²

3) 9.00 m/s²

4) 4.50 m/s²

47 / 130

47. Distance between points (3,7) and (3,8) is

1) 1

2) Option 4

3) √2

4) √1

48 / 130

48. Choose the correct spelling:

1) enterpreneur

2) entreprenuer

3) entrepreneur

4) entrepreneaur

49 / 130

49. A catalyst increases reaction rate by

1) Increasing equilibrium constant

2) Lowering activation energy

3) Changing products

4) Increasing ΔH

50 / 130

50. Vitamin C is also called

1) Benzoic acid

2) Citric acid

3) Acetic acid

4) Ascorbic acid

51 / 130

51. Distance between points (5,4) and (10,6) is

1) √29

2) √30

3) 29

4) 7

52 / 130

52. In a row, D is to the left of E and C is to the right of A. Which can be in the middle?

1) D

2) C

3) B

4) E

53 / 130

53. Two resistors 6 Ω and 9 Ω in series have equivalent resistance

1) 54 Ω

2) 3.60 Ω

3) 9 Ω

4) 15 Ω

54 / 130

54. Which among these is an aromatic compound?

1) Ethane

2) Ethyne

3) Benzene

4) Ethene

55 / 130

55. Which statement is correct about a p-n junction diode in forward bias?

1) No carriers move

2) It offers high resistance and blocks current

3) Depletion region widens

4) It offers low resistance and conducts current

56 / 130

56. For a first-order reaction with k=0.170 s⁻¹, half-life is

1) 2.04 s

2) 4.08 s

3) 8.15 s

4) 5.88 s

57 / 130

57. Compute ∫₀^8 (6x+1) dx

1) 56

2) 49

3) Option 4

4) 200

58 / 130

58. Number of subsets of a set with 8 elements is

1) 8

2) 64

3) 128

4) 256

59 / 130

59. Distance between points (7,5) and (11,7) is

1) √20

2) √21

3) 20

4) 6

60 / 130

60. Choose the correct word: The committee will ____ the proposal tomorrow.

1) concede

2) consume

3) consist

4) consider

61 / 130

61. Coordination number of metal in [Ni(NH₃)₆]²⁺ is

1) 4

2) 6

3) 8

4) 2

62 / 130

62. Moles of solute present in 0.35 L of 0.10 M solution are

1) 3.500 mol

2) 0.035 mol

3) 0.286 mol

4) 0.070 mol

63 / 130

63. Energy of a photon of wavelength 500 nm is approximately

1) 2.48 eV

2) 500.00 eV

3) 4.96 eV

4) 1.24 eV

64 / 130

64. If 500 J work is done in 25 s, the power is

1) 0.0500 W

2) 12500.00 W

3) 20.00 W

4) 40.00 W

65 / 130

65. An ideal gas at P=5 atm, V=4 L, T=320 K has moles n (R=0.082) approximately

1) 0.762

2) 20.000

3) 1.312

4) 1.524

66 / 130

66. Choose the correct mirror image property:

1) Left and right are interchanged

2) Top and bottom are interchanged

3) Colors disappear

4) Size always doubles

67 / 130

67. A substance of molar mass 44.0 g/mol has mass 12 g. Number of moles is

1) 2.727 mol

2) 3.667 mol

3) 0.273 mol

4) 528.0 mol

68 / 130

68. If z=6+i2, then |z| equals

1) 6.32

2) 4.00

3) 40.00

4) 8.00

69 / 130

69. Statements: All scientists are logical. Some logical people are musicians. Conclusions: (I) Some scientists are musicians. (II) All scientists are logical. Which follow?

1) Neither follows

2) Only I follows

3) Only II follows

4) Both I and II follow

70 / 130

70. In a row, B is to the left of E and D is to the right of C. Which can be in the middle?

1) A

2) D

3) B

4) E

71 / 130

71. For AB(s) ⇌ A⁺ + B⁻, the solubility product Ksp equals

1) [A⁺][B⁻]

2) [A⁺]+[B⁻]

3) 1/[A⁺][B⁻]

4) [AB]

72 / 130

72. Compute ∫₀^5 (3x+6) dx

1) 45

2) 135

3) 135/2

4) 21

73 / 130

73. Area of a circle of radius 7 is (in terms of π)

1) 49π

2) 7π

3) 49

4) 14π

74 / 130

74. Face-centered cubic (fcc) unit cell contains how many atoms?

1) 1

2) 4

3) 2

4) 6

75 / 130

75. Distance between points (8,5) and (11,7) is

1) √13

2) 13

3) √14

4) 5

76 / 130

76. Phenol is more acidic than ethanol mainly due to

1) Resonance stabilization of phenoxide ion

2) Absence of oxygen

3) Lower boiling point

4) Higher molecular mass

77 / 130

77. Which bond is most polar among these?

1) H–F

2) Cl–Cl

3) C–H

4) N–N

78 / 130

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

1) 12

2) 2048

3) 144

4) 4096

79 / 130

79. Two resistors 5 Ω and 11 Ω are connected in parallel. Equivalent resistance is

1) 16 Ω

2) 5 Ω

3) 55/16 Ω

4) 55 Ω

80 / 130

80. In SN1 reaction, the rate-determining step involves

1) Nucleophile attack

2) Carbocation formation

3) Proton transfer only

4) No intermediate

81 / 130

81. Glove : Hand :: Shoe : ?

1) Cover

2) Leg

3) Finger

4) Foot

82 / 130

82. A body covers 100 m in 5 s with uniform speed. The speed is

1) 40.00 m/s

2) 500 m/s

3) 20.00 m/s

4) 0.05 m/s

83 / 130

83. Find the next number in the series: 2, 5, 8, 11, ?

1) 17

2) 13

3) 14

4) 11

84 / 130

84. If n(A)=23, n(B)=21, n(A∩B)=9, then n(A∪B) is

1) 44

2) 35

3) 38

4) 2

85 / 130

85. Determinant of matrix [[3,5],[5,4]] is

1) 37

2) -13

3) -15

4) -11

86 / 130

86. Fill the blank: He insisted ____ paying the bill.

1) for

2) in

3) on

4) at

87 / 130

87. In a row, D is to the left of E and C is to the right of B. Which can be in the middle?

1) E

2) C

3) A

4) D

88 / 130

88. Kinetic energy of a 7 kg body moving at 6 m/s is

1) 42.0 J

2) Option 4

3) 126.0 J

4) 252.0 J

89 / 130

89. For cell reaction, relation between ΔG° and E°cell is

1) ΔG° = −FE°/n

2) ΔG° = nF/E°

3) ΔG° = nFE°

4) ΔG° = −nFE°

90 / 130

90. If z=4+i3, then |z| equals

1) 1.00

2) 5.00

3) 25.00

4) 7.00

91 / 130

91. A capacitor of 5 μF is charged to 11 V. Charge stored is

1) 55 μC

2) 27.5 μC

3) 11 μC

4) 5 C

92 / 130

92. For an exothermic reaction, ΔH is

1) Negative

2) Zero

3) Positive

4) Depends only on catalyst

93 / 130

93. In a row, B is to the left of A and C is to the right of E. Which can be in the middle?

1) D

2) C

3) B

4) A

94 / 130

94. Choose the correct preposition: This is different ____ that.

1) than

2) with

3) from

4) to

95 / 130

95. For quadratic equation 1x² + 2x + 1 = 0, the discriminant is

1) 0

2) -4

3) Option 4

4) 4

96 / 130

96. In a row, C is to the left of E and B is to the right of A. Which can be in the middle?

1) B

2) E

3) C

4) D

97 / 130

97. In a row, C is to the left of E and B is to the right of D. Which can be in the middle?

1) C

2) A

3) E

4) B

98 / 130

98. In a row, A is to the left of D and E is to the right of B. Which can be in the middle?

1) E

2) A

3) D

4) C

99 / 130

99. Determinant of matrix [[5,2],[8,2]] is

1) 26

2) -6

3) -4

4) -8

100 / 130

100. Choose the antonym of ‘opaque’:

1) dense

2) cloudy

3) transparent

4) dim

101 / 130

101. Slope of line joining (2,6) and (6,12) is

1) 3/2

2) 3

3) 4

4) 6

102 / 130

102. A convex lens has focal length 35 cm. An object is placed at 50 cm in front of it (u negative). Image distance v is

1) -50.0 cm

2) 20.6 cm

3) 35.0 cm

4) -20.6 cm

103 / 130

103. Change of base formula is

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

104 / 130

104. If y=4x^6, then dy/dx at x=4 is

1) 16384

2) 24576

3) 24570

4) 24582

105 / 130

105. A net force of 50 N acts on a mass 3 kg. The acceleration produced is

1) 18.67 m/s²

2) 0.06 m/s²

3) 150.00 m/s²

4) 16.67 m/s²

106 / 130

106. A mass 0.30 kg attached to spring k=80 N/m executes SHM. Time period is

1) 102.60 s

2) 0.77 s

3) 0.19 s

4) 0.38 s

107 / 130

107. A 4 kg mass rests on a horizontal surface. The normal reaction (g=9.8 m/s²) is

1) 19.6 N

2) 4.0 N

3) 39.2 N

4) 40.0 N

108 / 130

108. Sum of coefficients in expansion of (1+x)^9 is

1) 81

2) 256

3) 512

4) 9

109 / 130

109. The momentum of a body of mass 5 kg moving at 6 m/s is

1) 15.0 kg·m/s

2) 30 kg·m/s

3) 180 kg·m/s

4) 11 kg·m/s

110 / 130

110. In a row, B is to the left of A and C is to the right of D. Which can be in the middle?

1) B

2) C

3) A

4) E

111 / 130

111. If 200 J work is done in 35 s, the power is

1) 7000.00 W

2) 0.1750 W

3) 5.71 W

4) 11.43 W

112 / 130

112. If sinθ = 3/5 and θ is acute, then cosθ is

1) 3/5

2) 5/4

3) 1/5

4) 4/5

113 / 130

113. If 3 men can complete a work in 36 days, how many days will 9 men take (same efficiency)?

1) 36

2) 108

3) 12

4) 4

114 / 130

114. A radioactive sample has 1760 nuclei initially. After three half-lives, remaining nuclei are

1) 110

2) 880

3) 220

4) 440

115 / 130

115. A bag has 6 red and 6 blue balls. Probability of drawing a red ball is

1) 12/6

2) Option 4

3) 6/12

4) 1/2

116 / 130

116. Tollens’ reagent gives silver mirror test with

1) Alkanes

2) Aldehydes

3) Ketones

4) Ethers

117 / 130

117. Value of sin 45° is

1) √3/2

2) √2/2

3) Option 4

4) 1/2

118 / 130

118. Number of combinations: C(7,2) equals

1) 49

2) 42

3) 21

4) 5040

119 / 130

119. In hydrogen atom, energy in n=5 level (Bohr model) is

1) -2.72 eV

2) -68.00 eV

3) -0.54 eV

4) 0.54 eV

120 / 130

120. Derivative of e^x is

1) 1/x

2) ln x

3) e^x

4) x e^(x-1)

121 / 130

121. A body covers 60 m in 5 s with uniform speed. The speed is

1) 24.00 m/s

2) 12.00 m/s

3) 0.08 m/s

4) 300 m/s

122 / 130

122. A particle has initial velocity 10 m/s and constant acceleration 1 m/s² for 3 s. Its final velocity is

1) 7 m/s

2) 13 m/s

3) 10.33 m/s

4) 30 m/s

123 / 130

123. Identify correct indirect speech: He said, ‘I am tired.’

1) He said that he was tired.

2) He said that he is tired.

3) He says that he was tired.

4) He said that I am tired.

124 / 130

124. Area of a circle of radius 9 is (in terms of π)

1) 9π

2) 81

3) 81π

4) 18π

125 / 130

125. Across a period, atomic radius generally decreases because

1) Number of shells increases

2) Nuclear charge decreases

3) Electrons are removed

4) Effective nuclear charge increases

126 / 130

126. Moles of solute present in 0.95 L of 1.40 M solution are

1) 1.330 mol

2) 2.660 mol

3) 1.474 mol

4) 0.679 mol

127 / 130

127. Choose the correct word: Their plan will ____ the budget.

1) infect

2) affect

3) defect

4) effect

128 / 130

128. If f(x)=6x+5, then f⁻¹(x) equals

1) (6x+5)

2) (x-6)/5

3) (x-5)/6

4) (x+5)/6

129 / 130

129. 0.90 M solution of volume 15 mL is diluted to 100 mL. Final molarity is

1) 6.000 M

2) 0.135 M

3) 0.270 M

4) 0.900 M

130 / 130

130. A solution has pH=4. [H⁺] is

1) 1.0e+04 M

2) 1.0e-10 M

3) 1.0e-04 M

4) 4.0e+00 M

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