BITSAT TYPE 2 – Start Exam

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BITSAT TYPE 2

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1 / 130

1. 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

2 / 130

2. 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) D

2) B

3) C

4) E

3 / 130

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

1) 39.2 N

2) 40.0 N

3) 4.0 N

4) 19.6 N

4 / 130

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

1) 390.00 m/s

2) 461.54 m/s

3) 195.00 m/s

4) 0.002167 m/s

5 / 130

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

1) on

2) in

3) at

4) for

6 / 130

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

1) 7168

2) 42

3) 9555

4) 9559

7 / 130

7. 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) A

3) C

4) B

8 / 130

8. A solution has pH=4. [H⁺] is

1) 4.0e+00 M

2) 1.0e-04 M

3) 1.0e+04 M

4) 1.0e-10 M

9 / 130

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

1) infect

2) effect

3) defect

4) affect

10 / 130

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

1) 2

2) 35

3) 44

4) 38

11 / 130

11. If f(x)=4x+4, then f⁻¹(x) equals

1) (x-4)/4

2) Option 4

3) (x+4)/4

4) (4x+4)

12 / 130

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

1) 8.15 s

2) 4.08 s

3) 2.04 s

4) 5.88 s

13 / 130

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

1) 6

2) 4

3) 2

4) 8

14 / 130

14. Which among these is an aromatic compound?

1) Benzene

2) Ethane

3) Ethyne

4) Ethene

15 / 130

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

1) 54 μF

2) 15 μF

3) 9 μF

4) 3.60 μF

16 / 130

16. 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) E

3) A

4) B

17 / 130

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

1) 0.273 mol

2) 2.727 mol

3) 528.0 mol

4) 3.667 mol

18 / 130

18. Choose the correct mirror image property:

1) Top and bottom are interchanged

2) Size always doubles

3) Left and right are interchanged

4) Colors disappear

19 / 130

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

1) 9 Ω

2) 3.60 Ω

3) 54 Ω

4) 15 Ω

20 / 130

20. 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

21 / 130

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

1) 265716

2) 265719

3) 90

4) 177147

22 / 130

22. 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) D

2) A

3) E

4) B

23 / 130

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

1) 0.1750 W

2) 7000.00 W

3) 5.71 W

4) 11.43 W

24 / 130

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

1) -13

2) 37

3) -11

4) -15

25 / 130

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

1) 90.0°

2) 35.2°

3) 37.6°

4) 66.5°

26 / 130

26. Hybridization of carbon in CO₂ is

1) sp²

2) sp

3) dsp²

4) sp³

27 / 130

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

1) 49π

2) 14π

3) 7π

4) 49

28 / 130

28. 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) D

2) C

3) E

4) A

29 / 130

29. 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)

30 / 130

30. Derivative of e^x is

1) x e^(x-1)

2) 1/x

3) ln x

4) e^x

31 / 130

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

1) √1

2) Option 4

3) 1

4) √2

32 / 130

32. Across a period, atomic radius generally decreases because

1) Electrons are removed

2) Nuclear charge decreases

3) Number of shells increases

4) Effective nuclear charge increases

33 / 130

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

1) 4.00

2) 40.00

3) 6.32

4) 8.00

34 / 130

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

1) ambivalent

2) ambidextrous

3) omnivorous

4) anonymous

35 / 130

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

1) He said that I am tired.

2) He said that he was tired.

3) He said that he is tired.

4) He says that he was tired.

36 / 130

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

1) than

2) with

3) from

4) to

37 / 130

37. 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

38 / 130

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

1) 5

2) 11

3) 3

4) 2

39 / 130

39. Tyndall effect is observed in

1) Colloidal solutions

2) True solutions

3) Ideal gases only

4) Pure solids

40 / 130

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

1) 300 m/s

2) 12.00 m/s

3) 0.08 m/s

4) 24.00 m/s

41 / 130

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

1) 12.20 m/s

2) 60 m/s

3) 7 m/s

4) 17 m/s

42 / 130

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

1) 6.232

2) 5.000

3) 0.321

4) 0.160

43 / 130

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

1) 3.00 A

2) 0.167 A

3) 6.00 A

4) 54.00 A

44 / 130

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

1) 5.00

2) 1.00

3) 25.00

4) 7.00

45 / 130

45. 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) C

2) E

3) A

4) D

46 / 130

46. 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) 10.33 m/s

3) 13 m/s

4) 30 m/s

47 / 130

47. 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) 5.128 mol

4) 1.950 mol

48 / 130

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

1) -4

2) -8

3) -6

4) 26

49 / 130

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

1) 3

2) 4

3) 3/2

4) 6

50 / 130

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

1) 1/[A⁺][B⁻]

2) [A⁺][B⁻]

3) [AB]

4) [A⁺]+[B⁻]

51 / 130

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

1) √3

2) 2

3) √2

4) Option 4

52 / 130

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

1) 64

2) 8

3) 256

4) 128

53 / 130

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

1) √21

2) √20

3) 6

4) 20

54 / 130

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

1) 7

2) √29

3) 29

4) √30

55 / 130

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

1) 4.50 m/s²

2) 1.00 m/s²

3) 729.00 m/s²

4) 9.00 m/s²

56 / 130

56. 2.10 M solution of volume 30 mL is diluted to 125 mL. Final molarity is

1) 0.504 M

2) 8.750 M

3) 2.100 M

4) 1.008 M

57 / 130

57. A catalyst increases reaction rate by

1) Lowering activation energy

2) Increasing ΔH

3) Changing products

4) Increasing equilibrium constant

58 / 130

58. Phenol is more acidic than ethanol mainly due to

1) Higher molecular mass

2) Resonance stabilization of phenoxide ion

3) Lower boiling point

4) Absence of oxygen

59 / 130

59. Which gives positive iodoform test?

1) CH₃CH₂CH₃

2) CH₃COCH₃ (acetone)

3) CH₃COOH

4) C₆H₆

60 / 130

60. 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) B

2) D

3) E

4) A

61 / 130

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

1) ΔG° = nF/E°

2) ΔG° = nFE°

3) ΔG° = −FE°/n

4) ΔG° = −nFE°

62 / 130

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

1) √5

2) 3

3) 5

4) √6

63 / 130

63. 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) E

3) A

4) C

64 / 130

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

1) 1.474 mol

2) 0.679 mol

3) 1.330 mol

4) 2.660 mol

65 / 130

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

1) 0.19 s

2) 102.60 s

3) 0.38 s

4) 0.77 s

66 / 130

66. Choose the antonym of ‘opaque’:

1) cloudy

2) dim

3) dense

4) transparent

67 / 130

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

1) 0

2) 4

3) Option 4

4) -4

68 / 130

68. Vitamin C is also called

1) Citric acid

2) Acetic acid

3) Ascorbic acid

4) Benzoic acid

69 / 130

69. Acidic character of oxides across a period generally

1) Remains constant

2) Decreases

3) Becomes zero

4) Increases

70 / 130

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

1) 4500 J

2) 190 J

3) 9000 J

4) 1.11 J

71 / 130

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

1) 3.20 V

2) 1.60 V

3) 0.40 V

4) 2.80 V

72 / 130

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

1) 13

2) 5

3) √13

4) √14

73 / 130

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

1) 20.00 m/s

2) 0.05 m/s

3) 500 m/s

4) 40.00 m/s

74 / 130

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

1) 42.0 J

2) Option 4

3) 252.0 J

4) 126.0 J

75 / 130

75. Choose the synonym of ‘mitigate’:

1) worsen

2) alleviate

3) reveal

4) ignore

76 / 130

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

1) 0.06 m/s²

2) 18.67 m/s²

3) 16.67 m/s²

4) 150.00 m/s²

77 / 130

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

1) 0.54 eV

2) -68.00 eV

3) -2.72 eV

4) -0.54 eV

78 / 130

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

1) 13

2) 17

3) 14

4) 11

79 / 130

79. Evaluate lim(x→3) (x²−9)/(x−3)

1) 6

2) 3

3) 7

4) 9

80 / 130

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

1) 160.00 m/s²

2) 2.50 m/s²

3) 0.40 m/s²

4) 4.50 m/s²

81 / 130

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

1) 0.88 Wb

2) 10.00 Wb

3) 0.1280 Wb

4) 0.0640 Wb

82 / 130

82. 0.90 M solution of volume 15 mL is diluted to 100 mL. Final molarity is

1) 6.000 M

2) 0.270 M

3) 0.900 M

4) 0.135 M

83 / 130

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

1) 20

2) 6

3) √21

4) √20

84 / 130

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

1) too

2) very

3) such

4) so

85 / 130

85. Compute ∫₀^5 (3x+6) dx

1) 21

2) 45

3) 135

4) 135/2

86 / 130

86. Value of sin 45° is

1) Option 4

2) √2/2

3) √3/2

4) 1/2

87 / 130

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

1) 0.286 mol

2) 0.035 mol

3) 0.070 mol

4) 3.500 mol

88 / 130

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

1) 30 kg·m/s

2) 15.0 kg·m/s

3) 180 kg·m/s

4) 11 kg·m/s

89 / 130

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

1) 288

2) 291

3) 285

4) 384

90 / 130

90. PVC is the polymer of

1) Tetrafluoroethylene

2) Ethene

3) Styrene

4) Vinyl chloride

91 / 130

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

1) 7.81 km

2) 1.00 km

3) 11.00 km

4) 61.00 km

92 / 130

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

1) 7.0 N

2) 34.3 N

3) 68.6 N

4) 70.0 N

93 / 130

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

1) 4

2) Option 3

3) Option 4

4) 1

94 / 130

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

1) 1

2) 6

3) 4

4) 2

95 / 130

95. 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) E

2) C

3) A

4) B

96 / 130

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

1) 32

2) 24

3) 28

4) 64

97 / 130

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

1) Some squares are circles

2) Some circles are squares

3) No circles are squares

4) All circles are squares

98 / 130

98. Compute ∫₀^8 (6x+1) dx

1) 49

2) 200

3) Option 4

4) 56

99 / 130

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

1) CJUT

2) DKVU

3) BITS

4) STIB

100 / 130

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

1) 500.00 eV

2) 4.96 eV

3) 2.48 eV

4) 1.24 eV

101 / 130

101. Glove : Hand :: Shoe : ?

1) Leg

2) Foot

3) Cover

4) Finger

102 / 130

102. Which bond is most polar among these?

1) C–H

2) H–F

3) N–N

4) Cl–Cl

103 / 130

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

1) Both I and II follow

2) Only I follows

3) Only II follows

4) Neither follows

104 / 130

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

1) 7

2) 5

3) 6

4) 0

105 / 130

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

1) 0.0500 W

2) 12500.00 W

3) 40.00 W

4) 20.00 W

106 / 130

106. A buffer solution is best prepared by mixing

1) Only pure water

2) Strong acid and strong base

3) Weak acid and its salt

4) Strong base and its salt

107 / 130

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

1) 45

2) √45

3) √46

4) 9

108 / 130

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

1) 35 kg·m/s

2) 12 kg·m/s

3) 17.5 kg·m/s

4) 245 kg·m/s

109 / 130

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

1) No carriers move

2) Depletion region widens

3) It offers high resistance and blocks current

4) It offers low resistance and conducts current

110 / 130

110. Choose the correct spelling:

1) entrepreneur

2) entrepreneaur

3) enterpreneur

4) entreprenuer

111 / 130

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

1) 5040

2) 21

3) 42

4) 49

112 / 130

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

1) 30

2) 5

3) 40

4) 20

113 / 130

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

1) 220

2) 440

3) 880

4) 110

114 / 130

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

1) 512

2) 81

3) 9

4) 256

115 / 130

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

1) 2.39 s

2) 3.45 s

3) 4.78 s

4) 1.19 s

116 / 130

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

1) No intermediate

2) Carbocation formation

3) Nucleophile attack

4) Proton transfer only

117 / 130

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

1) √5

2) 3

3) √6

4) 5

118 / 130

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

1) 81π

2) 9π

3) 18π

4) 81

119 / 130

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

1) 144

2) 4096

3) 2048

4) 12

120 / 130

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

1) 12/6

2) 6/12

3) Option 4

4) 1/2

121 / 130

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

1) consider

2) consist

3) consume

4) concede

122 / 130

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

1) 24570

2) 24582

3) 24576

4) 16384

123 / 130

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

1) 5/4

2) 4/5

3) 1/5

4) 3/5

124 / 130

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

1) P(A)+P(B)

2) P(A)P(B)

3) 0

4) 1

125 / 130

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

1) 108

2) 12

3) 4

4) 36

126 / 130

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

1) 55 μC

2) 5 C

3) 11 μC

4) 27.5 μC

127 / 130

127. For an exothermic reaction, ΔH is

1) Positive

2) Zero

3) Depends only on catalyst

4) Negative

128 / 130

128. Tollens’ reagent gives silver mirror test with

1) Aldehydes

2) Alkanes

3) Ketones

4) Ethers

129 / 130

129. 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) -20.6 cm

2) 35.0 cm

3) -50.0 cm

4) 20.6 cm

130 / 130

130. 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

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