BITSAT TYPE 2 - Start Exam

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BITSAT TYPE 2

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1 / 130

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

1) Some squares are circles

2) No circles are squares

3) All circles are squares

4) Some circles are squares

2 / 130

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

1) 0.40 m/s²

2) 2.50 m/s²

3) 160.00 m/s²

4) 4.50 m/s²

3 / 130

3. 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) E

3) B

4) A

4 / 130

4. 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

5 / 130

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

1) 12

2) 4

3) 108

4) 36

6 / 130

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

1) 3.667 mol

2) 0.273 mol

3) 2.727 mol

4) 528.0 mol

7 / 130

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

1) 55/16 Ω

2) 16 Ω

3) 55 Ω

4) 5 Ω

8 / 130

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

1) 5.88 s

2) 2.04 s

3) 4.08 s

4) 8.15 s

9 / 130

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

1) 2.80 V

2) 1.60 V

3) 0.40 V

4) 3.20 V

10 / 130

10. Glove : Hand :: Shoe : ?

1) Leg

2) Finger

3) Foot

4) Cover

11 / 130

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

1) 3.60 μF

2) 9 μF

3) 54 μF

4) 15 μF

12 / 130

12. 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) D

2) B

3) A

4) E

13 / 130

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

1) 512

2) 256

3) 9

4) 81

14 / 130

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

1) omnivorous

2) ambivalent

3) anonymous

4) ambidextrous

15 / 130

15. Choose the correct spelling:

1) entreprenuer

2) enterpreneur

3) entrepreneur

4) entrepreneaur

16 / 130

16. 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

17 / 130

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

1) 34.3 N

2) 68.6 N

3) 70.0 N

4) 7.0 N

18 / 130

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

1) 128

2) 64

3) 256

4) 8

19 / 130

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

1) 0.513 mol

2) 1.950 mol

3) 1755.0 mol

4) 5.128 mol

20 / 130

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

1) 265719

2) 177147

3) 90

4) 265716

21 / 130

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

1) so

2) such

3) very

4) too

22 / 130

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

1) 2048

2) 12

3) 144

4) 4096

23 / 130

23. 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

24 / 130

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

1) 880

2) 440

3) 110

4) 220

25 / 130

25. Choose the synonym of ‘mitigate’:

1) worsen

2) reveal

3) alleviate

4) ignore

26 / 130

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

1) 6

2) 20

3) √20

4) √21

27 / 130

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

1) 0.54 eV

2) -2.72 eV

3) -68.00 eV

4) -0.54 eV

28 / 130

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

1) 1

2) 2

3) 6

4) 4

29 / 130

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

1) -13

2) -15

3) -11

4) 37

30 / 130

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

1) 4.96 eV

2) 2.48 eV

3) 500.00 eV

4) 1.24 eV

31 / 130

31. 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) 9.00 m/s²

4) 729.00 m/s²

32 / 130

32. Value of sin 45° is

1) √3/2

2) √2/2

3) Option 4

4) 1/2

33 / 130

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

1) He said that I am tired.

2) He says that he was tired.

3) He said that he was tired.

4) He said that he is tired.

34 / 130

34. For an exothermic reaction, ΔH is

1) Positive

2) Depends only on catalyst

3) Negative

4) Zero

35 / 130

35. 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) Both I and II follow

4) Only II follows

36 / 130

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

1) 1.19 s

2) 3.45 s

3) 4.78 s

4) 2.39 s

37 / 130

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

1) 1/[A⁺][B⁻]

2) [A⁺]+[B⁻]

3) [AB]

4) [A⁺][B⁻]

38 / 130

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

1) 40.00 m/s

2) 0.05 m/s

3) 20.00 m/s

4) 500 m/s

39 / 130

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

1) 5.00

2) 7.00

3) 1.00

4) 25.00

40 / 130

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

1) √20

2) 20

3) 6

4) √21

41 / 130

41. 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) E

2) A

3) B

4) C

42 / 130

42. Choose the antonym of ‘opaque’:

1) dim

2) cloudy

3) transparent

4) dense

43 / 130

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

1) √30

2) 7

3) √29

4) 29

44 / 130

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

1) 7π

2) 14π

3) 49

4) 49π

45 / 130

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

1) 30 kg·m/s

2) 11 kg·m/s

3) 180 kg·m/s

4) 15.0 kg·m/s

46 / 130

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

1) infect

2) effect

3) defect

4) affect

47 / 130

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

1) 5

2) 2

3) 3

4) 11

48 / 130

48. 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) 7 m/s

3) 12.20 m/s

4) 17 m/s

49 / 130

49. Tyndall effect is observed in

1) Colloidal solutions

2) Pure solids

3) True solutions

4) Ideal gases only

50 / 130

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

1) √2

2) Option 4

3) 2

4) √3

51 / 130

51. If f(x)=6x+5, then f⁻¹(x) equals

1) (6x+5)

2) (x-5)/6

3) (x+5)/6

4) (x-6)/5

52 / 130

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

1) 1

2) Option 4

3) √2

4) √1

53 / 130

53. 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) C

2) D

3) E

4) B

54 / 130

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

1) Proton transfer only

2) Carbocation formation

3) No intermediate

4) Nucleophile attack

55 / 130

55. A solution has pH=4. [H⁺] is

1) 1.0e-04 M

2) 1.0e+04 M

3) 1.0e-10 M

4) 4.0e+00 M

56 / 130

56. A catalyst increases reaction rate by

1) Increasing equilibrium constant

2) Lowering activation energy

3) Increasing ΔH

4) Changing products

57 / 130

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

1) 3/2

2) 6

3) 3

4) 4

58 / 130

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

1) 461.54 m/s

2) 195.00 m/s

3) 0.002167 m/s

4) 390.00 m/s

59 / 130

59. 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) E

2) A

3) C

4) B

60 / 130

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

1) 18π

2) 9π

3) 81π

4) 81

61 / 130

61. 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

62 / 130

62. Acidic character of oxides across a period generally

1) Becomes zero

2) Increases

3) Remains constant

4) Decreases

63 / 130

63. Compute ∫₀^5 (3x+6) dx

1) 135

2) 45

3) 135/2

4) 21

64 / 130

64. Phenol is more acidic than ethanol mainly due to

1) Resonance stabilization of phenoxide ion

2) Higher molecular mass

3) Lower boiling point

4) Absence of oxygen

65 / 130

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

1) Depletion region widens

2) It offers high resistance and blocks current

3) It offers low resistance and conducts current

4) No carriers move

66 / 130

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

1) 7.81 km

2) 1.00 km

3) 61.00 km

4) 11.00 km

67 / 130

67. Which among these is an aromatic compound?

1) Benzene

2) Ethane

3) Ethyne

4) Ethene

68 / 130

68. 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) C

3) D

4) E

69 / 130

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

1) 40.00 W

2) 12500.00 W

3) 20.00 W

4) 0.0500 W

70 / 130

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

1) 7168

2) 9555

3) 42

4) 9559

71 / 130

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

1) 64

2) 32

3) 24

4) 28

72 / 130

72. Derivative of e^x is

1) ln x

2) e^x

3) 1/x

4) x e^(x-1)

73 / 130

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

1) 40.0 N

2) 4.0 N

3) 39.2 N

4) 19.6 N

74 / 130

74. 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) 20.6 cm

3) -50.0 cm

4) 35.0 cm

75 / 130

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

1) √6

2) 3

3) 5

4) √5

76 / 130

76. Which bond is most polar among these?

1) N–N

2) C–H

3) Cl–Cl

4) H–F

77 / 130

77. Evaluate lim(x→3) (x²−9)/(x−3)

1) 3

2) 6

3) 7

4) 9

78 / 130

78. Compute ∫₀^8 (6x+1) dx

1) 49

2) 200

3) Option 4

4) 56

79 / 130

79. 0.90 M solution of volume 15 mL is diluted to 100 mL. Final molarity is

1) 0.900 M

2) 0.135 M

3) 6.000 M

4) 0.270 M

80 / 130

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

1) 40

2) 30

3) 5

4) 20

81 / 130

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

1) CJUT

2) STIB

3) BITS

4) DKVU

82 / 130

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

1) -4

2) -8

3) 26

4) -6

83 / 130

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

1) 1

2) Option 4

3) 4

4) Option 3

84 / 130

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

1) 0

2) P(A)P(B)

3) 1

4) P(A)+P(B)

85 / 130

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

1) concede

2) consume

3) consider

4) consist

86 / 130

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

1) 0.679 mol

2) 1.474 mol

3) 2.660 mol

4) 1.330 mol

87 / 130

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

1) 1/2

2) Option 4

3) 12/6

4) 6/12

88 / 130

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

1) 6

2) 7

3) 0

4) 5

89 / 130

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

1) 5040

2) 49

3) 21

4) 42

90 / 130

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

1) 27.5 μC

2) 5 C

3) 55 μC

4) 11 μC

91 / 130

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

1) 6

2) 4

3) 2

4) 8

92 / 130

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

1) 0.06 m/s²

2) 16.67 m/s²

3) 150.00 m/s²

4) 18.67 m/s²

93 / 130

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

1) 4.00

2) 6.32

3) 40.00

4) 8.00

94 / 130

94. 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) C

2) D

3) B

4) A

95 / 130

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

1) √13

2) 5

3) √14

4) 13

96 / 130

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

1) 24582

2) 24570

3) 24576

4) 16384

97 / 130

97. 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) D

4) A

98 / 130

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

1) 3.00 A

2) 54.00 A

3) 6.00 A

4) 0.167 A

99 / 130

99. PVC is the polymer of

1) Ethene

2) Vinyl chloride

3) Styrene

4) Tetrafluoroethylene

100 / 130

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

1) 37.6°

2) 90.0°

3) 66.5°

4) 35.2°

101 / 130

101. 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) A

3) B

4) C

102 / 130

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

1) 38

2) 35

3) 44

4) 2

103 / 130

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

1) 30 m/s

2) 13 m/s

3) 10.33 m/s

4) 7 m/s

104 / 130

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

1) 288

2) 285

3) 291

4) 384

105 / 130

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

1) √45

2) 9

3) 45

4) √46

106 / 130

106. Choose the correct mirror image property:

1) Size always doubles

2) Top and bottom are interchanged

3) Colors disappear

4) Left and right are interchanged

107 / 130

107. Vitamin C is also called

1) Benzoic acid

2) Ascorbic acid

3) Citric acid

4) Acetic acid

108 / 130

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

1) 10.00 Wb

2) 0.88 Wb

3) 0.0640 Wb

4) 0.1280 Wb

109 / 130

109. 2.10 M solution of volume 30 mL is diluted to 125 mL. Final molarity is

1) 8.750 M

2) 2.100 M

3) 0.504 M

4) 1.008 M

110 / 130

110. 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_b a

4) log_a b = log_c a / log_c b

111 / 130

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

1) √6

2) √5

3) 3

4) 5

112 / 130

112. 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) 300 m/s

4) 0.08 m/s

113 / 130

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

1) 1.524

2) 0.762

3) 20.000

4) 1.312

114 / 130

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

1) 6.232

2) 0.321

3) 0.160

4) 5.000

115 / 130

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

1) 1.11 J

2) 4500 J

3) 9000 J

4) 190 J

116 / 130

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

1) 17

2) 13

3) 11

4) 14

117 / 130

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

1) 4

2) -4

3) Option 4

4) 0

118 / 130

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

1) 1/5

2) 3/5

3) 4/5

4) 5/4

119 / 130

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

1) ΔG° = −nFE°

2) ΔG° = nF/E°

3) ΔG° = −FE°/n

4) ΔG° = nFE°

120 / 130

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

1) 0.1750 W

2) 5.71 W

3) 11.43 W

4) 7000.00 W

121 / 130

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

1) 252.0 J

2) 42.0 J

3) Option 4

4) 126.0 J

122 / 130

122. 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) A

2) E

3) C

4) D

123 / 130

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

1) from

2) to

3) with

4) than

124 / 130

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

1) 54 Ω

2) 9 Ω

3) 15 Ω

4) 3.60 Ω

125 / 130

125. Tollens’ reagent gives silver mirror test with

1) Aldehydes

2) Ketones

3) Alkanes

4) Ethers

126 / 130

126. Hybridization of carbon in CO₂ is

1) sp²

2) sp

3) dsp²

4) sp³

127 / 130

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

1) in

2) on

3) for

4) at

128 / 130

128. If f(x)=4x+4, then f⁻¹(x) equals

1) Option 4

2) (4x+4)

3) (x+4)/4

4) (x-4)/4

129 / 130

129. Across a period, atomic radius generally decreases because

1) Effective nuclear charge increases

2) Number of shells increases

3) Electrons are removed

4) Nuclear charge decreases

130 / 130

130. Which gives positive iodoform test?

1) C₆H₆

2) CH₃CH₂CH₃

3) CH₃COCH₃ (acetone)

4) CH₃COOH

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