BITSAT TYPE 3 – Start Exam

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BITSAT TYPE 3

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1 / 130

1. A sound wave travels at 380 m/s with frequency 300 Hz. Wavelength is

1) 2.533 m

2) 1.267 m

3) 114000.0 m

4) 0.789 m

2 / 130

2. The SI unit of resistance is

1) Volt

2) Watt

3) Ampere

4) Ohm

3 / 130

3. Value of 0! is

1) 1

2) Undefined

3) 0

4) Infinity

4 / 130

4. Circumference of a circle of radius 2 is (in terms of π)

1) 4

2) 2π

3) Option 4

4) 4π

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5. A person walks 8 m North, then 7 m West, then 4 m South. Net displacement is

1) 11.00 m

2) 3.00 m

3) 8.06 m

4) 19.00 m

6 / 130

6. A coil has 300 turns and area 0.038 m². Magnetic field normal to it changes by 1.30 T in 0.25 s. Induced emf is

1) 3.71 V

2) 1560.00 V

3) 59.28 V

4) 0.20 V

7 / 130

7. Sum of first 7 natural numbers is

1) 49

2) 28

3) 21

4) 36

8 / 130

8. For a first order reaction, the unit of rate constant k is

1) L² mol⁻² s⁻¹

2) mol L⁻¹ s⁻¹

3) L mol⁻¹ s⁻¹

4) s⁻¹

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9. If sinθ = 0 for θ in [0,2π], one possible value is

1) π/2

2) π/4

3) π/3

4) π

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10. Solution of 3x − 5 = 10 is

1) 3

2) 10

3) 5

4) -5

11 / 130

11. If 8 workers can finish a job in 15 days, how many days will 12 workers take?

1) 15

2) 12

3) 8

4) 10

12 / 130

12. Distance between (1,6) and (7,5) is

1) 7

2) 37

3) √38

4) √37

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13. If ‘SOME’ is coded as ‘TQNF’ (each letter shifted by +1), then ‘DATA’ is coded as

1) EBUB

2) FCVC

3) EBTA

4) CZSZ

14 / 130

14. In an elastic collision in an isolated system, which quantities are conserved?

1) Both momentum and kinetic energy

2) Only kinetic energy

3) Neither

4) Only momentum

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15. A constant force of 100 N displaces an object by 4 m along the force. Work done is

1) 25.00 J

2) 104 J

3) 400 J

4) 200 J

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16. A mass 0.9 kg attached to a spring of constant 340 N/m performs SHM. Its time period is

1) 0.32 s

2) 0.65 s

3) 0.16 s

4) 122.12 s

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17. An object moves with constant speed 22 m/s for 7 s. Distance covered is

1) 29 m

2) 3.14 m

3) 77 m

4) 154 m

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18. Which compound exhibits optical isomerism?

1) CH₃CH₂OH

2) CH₃CH₂CH₂CH₃

3) CH₃CH(OH)CH₂CH₃

4) CH₂=CH₂

19 / 130

19. A transformer operates on the principle of

1) Mutual induction

2) Electrostatics

3) Thermionic emission

4) Photoelectric effect

20 / 130

20. Find the odd one out: Triangle, Square, Circle, Cube

1) Triangle

2) Cube

3) Circle

4) Square

21 / 130

21. For a cell with E°=1.15 V, n=2, and reaction quotient Q=10, the cell potential at 298 K is approximately

1) 1.150 V

2) 1.180 V

3) 1.120 V

4) 2.241 V

22 / 130

22. Hückel’s rule for aromaticity requires (4n+2)

1) protons

2) π electrons

3) σ electrons

4) neutrons

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23. Hydrogen bonding is strongest in

1) HCl

2) HF

3) HI

4) HBr

24 / 130

24. A is the brother of B. B is the sister of C. How is A related to C?

1) Uncle

2) Brother

3) Sister

4) Father

25 / 130

25. Two capacitors 2 μF and 7 μF are connected in series. Equivalent capacitance is

1) 7 μF

2) 14 μF

3) 9 μF

4) 14/9 μF

26 / 130

26. Which quantity is a vector?

1) Momentum

2) Time

3) Energy

4) Temperature

27 / 130

27. Sum of first 5 terms of GP (a=5, r=5) is

1) 3125

2) 3905

3) 3910

4) 25

28 / 130

28. Statement: Some engineers are musicians. Conclusion: Some musicians are engineers. This conclusion is

1) Definitely true

2) Cannot be determined

3) Definitely false

4) Both true and false

29 / 130

29. Cloze: He was ____ tired to continue.

1) so

2) much

3) very

4) too

30 / 130

30. Value of cos 45° is

1) √3/2

2) √2/2

3) Option 4

4) 1/2

31 / 130

31. Discriminant of quadratic 2x² + 3x + 1 is

1) Option 4

2) -7

3) 9

4) 1

32 / 130

32. A body’s speed changes from 12 m/s to 30 m/s in 3 s with uniform acceleration. The acceleration is

1) 18.00 m/s²

2) -6.00 m/s²

3) 6.00 m/s²

4) 14.00 m/s²

33 / 130

33. A force 25 N acts on a mass 6 kg on a frictionless surface. Acceleration is

1) 5.17 m/s²

2) 4.17 m/s²

3) 150.0 m/s²

4) 0.240 m/s²

34 / 130

34. Simplify: (x^8)·(x^4) equals

1) x^4

2) x^2.0

3) x^32

4) x^12

35 / 130

35. If a matrix is 2×3, it has

1) 2 rows and 3 columns

2) 2 columns and 2 rows

3) 3 rows and 3 columns

4) 3 rows and 2 columns

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36. Raoult’s law for an ideal solution states that vapor pressure of a component is

1) Always zero

2) Always equal to pure solvent vapor pressure

3) Independent of composition

4) Proportional to its mole fraction

37 / 130

37. Current 3.5 A flows through resistance 12 Ω. Voltage across it is

1) 84.0 V

2) 0.29 V

3) 42.0 V

4) 15.5 V

38 / 130

38. In a certain code, ‘MANGO’ is written as ‘NBOPH’. How is ‘APPLE’ written in the same code?

1) AQPMF

2) BQPNE

3) BPPMF

4) BQQMF

39 / 130

39. Derivative of ln x is

1) 1/x

2) x

3) ln x

4) e^x

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40. Refractive index n of a medium is defined as

1) ν/λ

2) v/c

3) c/v

4) λ/ν

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41. Kirchhoff’s loop rule is based on conservation of

1) Energy

2) Mass

3) Charge

4) Momentum

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42. Equivalent resistance of 2 Ω and 9 Ω in parallel is

1) 2 Ω

2) 18/11 Ω

3) 18 Ω

4) 11 Ω

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43. What is the smaller angle between hour and minute hands at 4:20?

1) 120.0°

2) 350.0°

3) Option 4

4) 10.0°

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44. Choose the correct word: The new rules will ____ discipline.

1) ensure

2) assure

3) enclose

4) insure

45 / 130

45. If z = 3 − 4i, then |z| equals

1) √7

2) 7

3) 5

4) 1

46 / 130

46. A catalyst increases the rate by

1) Providing an alternative pathway with lower activation energy

2) Changing products

3) Changing equilibrium constant

4) Increasing ΔH

47 / 130

47. Fill the blank: She is good ____ mathematics.

1) for

2) at

3) on

4) in

48 / 130

48. If log₁₀ x = 2, then x is

1) 10

2) 20

3) 100

4) 200

49 / 130

49. Oxidation state of nitrogen in NH₃ is

1) +3

2) −3

3) −1

4) +5

50 / 130

50. If ‘PEN’ is related to ‘WRITE’, then ‘SCISSORS’ is related to

1) READ

2) DRAW

3) CUT

4) SING

51 / 130

51. Compute lim(x→6) (x³−216)/(x−6)

1) 36

2) 108

3) 18

4) 12

52 / 130

52. A 0.20 M weak acid has Ka = 1.0×10⁻⁴. Approximate pH is

1) 4.00

2) 7.00

3) 1.00

4) 2.35

53 / 130

53. Find next number: 25, 36, 49, 64, ?

1) 80

2) 81

3) 100

4) 83

54 / 130

54. A convex lens of focal length 10 cm has an object at 20 cm. Using sign convention (u negative), image distance v is

1) 10.0 cm

2) 6.7 cm

3) -20.0 cm

4) -6.7 cm

55 / 130

55. Electric field due to a 8 μC point charge at distance 0.35 m is

1) 2.52e+04 N/C

2) 5.88e+05 N/C

3) 5.88e+04 N/C

4) 2.06e+05 N/C

56 / 130

56. Choose the missing number: 3, 7, 13, 21, ?

1) 29

2) 31

3) 33

4) 27

57 / 130

57. Value of log₁₀(10^7) is

1) 10

2) 7

3) 1/7

4) 10000000

58 / 130

58. Which oxide is acidic?

1) SO₃

2) MgO

3) Na₂O

4) CaO

59 / 130

59. If x² = 49, then x can be

1) −7 only

2) 49

3) ±7

4) 7 only

60 / 130

60. If all BLOOMS are FLOWERS and some FLOWERS are RED, which is necessarily true?

1) All RED are BLOOMS

2) No BLOOMS are RED

3) Some BLOOMS may be RED

4) All BLOOMS are RED

61 / 130

61. The sum of angles of a triangle is

1) 360°

2) 270°

3) 90°

4) 180°

62 / 130

62. Syllogism: All cats are animals. Some animals are wild. Conclusion: Some cats are wild. This is

1) Cannot be concluded

2) Definitely true

3) Both true and false

4) Definitely false

63 / 130

63. Which alcohol gives turbidity with Lucas reagent after a few minutes (room temperature)?

1) Primary alcohol (fastest)

2) Tertiary alcohol (slowest)

3) Phenol

4) Secondary alcohol

64 / 130

64. Unit of rate constant for a zero order reaction is

1) s⁻¹

2) mol L⁻¹ s⁻¹

3) dimensionless

4) L mol⁻¹ s⁻¹

65 / 130

65. Sum of first 13 terms of AP with a=5, d=2 is

1) 31

2) 221

3) 91

4) 223

66 / 130

66. One-word substitution: ‘A speech delivered without preparation’ is

1) anecdote

2) epitaph

3) epicure

4) extempore

67 / 130

67. Photon energy for wavelength 620 nm is approximately

1) 1.00 eV

2) 2.00 eV

3) 4.00 eV

4) 620.0 eV

68 / 130

68. Sum of first 6 terms of GP (a=6, r=4) is

1) 36

2) 6144

3) 8194

4) 8190

69 / 130

69. If all ZIBS are BITS and all BITS are TESTS, then all ZIBS are

1) ZIBS

2) None of these

3) BITS

4) TESTS

70 / 130

70. The area of a circle of radius 5 is (in terms of π)

1) 10π

2) 50π

3) 25π

4) 5π

71 / 130

71. Number of diagonals in a polygon of 12 sides is

1) 54

2) 66

3) 48

4) 60

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72. In [Cu(NH₃)₄]²⁺, the coordination number of Cu is

1) 8

2) 2

3) 6

4) 4

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73. A body’s speed changes from 28 m/s to 38 m/s in 6 s with uniform acceleration. The acceleration is

1) 1.67 m/s²

2) 10.00 m/s²

3) -1.67 m/s²

4) 11.00 m/s²

74 / 130

74. If x and y are inversely proportional, then xy is

1) Zero

2) Increasing

3) Constant

4) Decreasing

75 / 130

75. Choose the correct preposition: She insisted ____ seeing the manager.

1) at

2) for

3) on

4) in

76 / 130

76. Choose the synonym of ‘lucid’:

1) vague

2) clear

3) opaque

4) dull

77 / 130

77. Sum of first 9 terms of AP with a=6, d=3 is

1) 162

2) 81

3) 33

4) 165

78 / 130

78. Sum of squares 1²+2²+…+6² equals

1) 91

2) 126

3) 21

4) 182

79 / 130

79. The correct order of increasing ionic radii is

1) Al³⁺ < Na⁺ < Mg²⁺

2) Al³⁺ < Mg²⁺ < Na⁺

3) Mg²⁺ < Na⁺ < Al³⁺

4) Na⁺ < Mg²⁺ < Al³⁺

80 / 130

80. A strong electrolyte in water is

1) Sucrose

2) Glucose

3) Urea

4) NaCl

81 / 130

81. Value of permutation P(10,3) is

1) 120

2) 3628800

3) 1000

4) 720

82 / 130

82. The midpoint of (2,3) and (6,7) is

1) (6,3)

2) (8,10)

3) (2,7)

4) (4,5)

83 / 130

83. The coefficient of x^3 in (1+x)^6 is

1) 30

2) 6

3) 20

4) 15

84 / 130

84. Sum of first 11 natural numbers is

1) 66

2) 55

3) 121

4) 78

85 / 130

85. A force 15 N acts on a mass 2 kg on a frictionless surface. Acceleration is

1) 30.0 m/s²

2) 0.133 m/s²

3) 7.50 m/s²

4) 8.50 m/s²

86 / 130

86. A resistor 10 Ω is connected across 18 V. Power dissipated is

1) 1.80 W

2) 16.20 W

3) 32.40 W

4) 180.00 W

87 / 130

87. The number of atoms per unit cell in simple cubic lattice is

1) 1

2) 2

3) 4

4) 6

88 / 130

88. Value of log₁₀(10^11) is

1) 100000000000

2) 11

3) 1/11

4) 10

89 / 130

89. If two sets A and B are disjoint, then n(A∪B) equals

1) n(A)n(B)

2) n(A)/n(B)

3) n(A)−n(B)

4) n(A)+n(B)

90 / 130

90. A buffer can be prepared by mixing

1) HCl and NaCl

2) NaOH and NaCl

3) CH₃COOH and CH₃COONa

4) HNO₃ and KNO₃

91 / 130

91. Bakelite is formed by condensation of

1) Glucose units

2) Ethene monomers

3) Phenol and formaldehyde

4) Vinyl chloride monomers

92 / 130

92. Discriminant of quadratic 6x² + 4x + 5 is

1) -96

2) -112

3) 16

4) -104

93 / 130

93. Next letter in sequence: B, E, I, N, T, ?

1) A

2) C

3) B

4) Z

94 / 130

94. Sum of squares 1²+2²+…+10² equals

1) 385

2) 55

3) 550

4) 770

95 / 130

95. If 2^x = 32, then x is

1) 5

2) 4

3) 6

4) 3

96 / 130

96. The oxidizing agent among these is

1) NaBH₄

2) CH₃CH₂OH

3) KMnO₄ (acidic medium)

4) NH₃

97 / 130

97. Identify the figure of speech: ‘Her eyes were stars.’

1) Metaphor

2) Simile

3) Irony

4) Hyperbole

98 / 130

98. Find the odd pair: (2,4), (3,9), (4,16), (6,36)

1) (6,36)

2) (4,16)

3) (2,4)

4) (3,9)

99 / 130

99. Choose the antonym of ‘augment’:

1) diminish

2) enhance

3) increase

4) expand

100 / 130

100. Kinetic energy of a 3.0 kg object moving at 6 m/s is

1) 18.0 J

2) Option 4

3) 54.0 J

4) 108.0 J

101 / 130

101. In Bohr model of hydrogen, energy of level n=3 is

1) -4.53 eV

2) -40.80 eV

3) -1.51 eV

4) 1.51 eV

102 / 130

102. For an elementary reaction 2A → products, the rate law is generally

1) rate = k[A]

2) rate = k[A+B]

3) rate = k (independent of [A])

4) rate = k[A]²

103 / 130

103. Mass 50 g of a compound (molar mass 18.0 g/mol) corresponds to how many moles?

1) 27.778 mol

2) 0.360 mol

3) 2.778 mol

4) 900.0 mol

104 / 130

104. ∫ (1/x) dx equals

1) ln|x| + C

2) e^x + C

3) 1/x + C

4) x + C

105 / 130

105. Choose the synonym of ‘abate’:

1) provoke

2) reduce

3) increase

4) inflate

106 / 130

106. Potential energy gained by lifting a 6 kg mass by 9 m (g=9.8) is

1) 529.2 J

2) 54.0 J

3) 88.2 J

4) 264.6 J

107 / 130

107. If tanθ = √3 for acute θ, then θ equals

1) 30°

2) 45°

3) 90°

4) 60°

108 / 130

108. The geometry of NH₄⁺ is

1) Tetrahedral

2) Square planar

3) Linear

4) Trigonal planar

109 / 130

109. Functional group in carboxylic acids is

1) –OH

2) –CO–

3) –CHO

4) –COOH

110 / 130

110. The work done by centripetal force in uniform circular motion over one full revolution is

1) Negative

2) Depends on speed only

3) Positive

4) 0

111 / 130

111. Which option completes the analogy: Finger : Hand :: Leaf : ?

1) Root

2) Branch

3) Tree

4) Fruit

112 / 130

112. Find the next term: 3, 6, 12, 24, ?

1) 27

2) 24

3) 96

4) 48

113 / 130

113. If a code shifts every letter forward by 2 positions, the code for ALPHA is

1) BMQIB

2) DOSKD

3) CNRJC

4) AHPLA

114 / 130

114. Which reagent selectively oxidizes a primary alcohol to an aldehyde?

1) PCC

2) K₂Cr₂O₇ (reflux)

3) KMnO₄ (hot)

4) NaOH(aq)

115 / 130

115. If Kc for a reaction is very large, it implies

1) Kc must be negative

2) Equilibrium lies far to the right

3) Equilibrium lies far to the left

4) Reaction does not occur

116 / 130

116. IUPAC name of CH₃CH₂CHO is

1) Propanone

2) Propanal

3) Ethanal

4) Butanal

117 / 130

117. Simplify: (x^7)·(x^3) equals

1) x^4

2) x^21

3) x^2.3333333333333335

4) x^10

118 / 130

118. Energy stored in a capacitor of 3 μF charged to 11 V is

1) 3.63e-04 J

2) 3.30e+01 J

3) 3.63e+02 J

4) 1.81e-04 J

119 / 130

119. If f(x)=x², then f(−3) equals

1) 3

2) −9

3) 9

4) −3

120 / 130

120. Most common oxidation state of Mn in compounds is

1) +7

2) +2

3) +5

4) +6

121 / 130

121. Mass 20 g of a compound (molar mass 18.0 g/mol) corresponds to how many moles?

1) 1.111 mol

2) 0.900 mol

3) 11.111 mol

4) 360.0 mol

122 / 130

122. Anti-Markovnikov addition of HBr to propene occurs in presence of

1) Peroxides

2) UV only (without peroxides)

3) Water

4) H₂SO₄

123 / 130

123. A 4 kg object moves at 7 m/s. Its momentum is

1) 196 kg·m/s

2) 11 kg·m/s

3) 14.0 kg·m/s

4) 28 kg·m/s

124 / 130

124. If the day before yesterday was Wednesday, then tomorrow will be

1) Sunday

2) Monday

3) Friday

4) Saturday

125 / 130

125. Choose the antonym of ‘scarce’:

1) limited

2) abundant

3) few

4) rare

126 / 130

126. The value of i^2 equals

1) −i

2) −1

3) 1

4) i

127 / 130

127. The value of (−2)^3 is

1) 6

2) −6

3) −8

4) 8

128 / 130

128. If frequency of a wave is halved (speed constant), wavelength becomes

1) Double

2) Unchanged

3) Half

4) Four times

129 / 130

129. Which has the highest electronegativity among these elements?

1) Chlorine

2) Nitrogen

3) Oxygen

4) Fluorine

130 / 130

130. For a diode in reverse bias, the depletion region generally

1) Widens

2) Narrows

3) Becomes a conductor

4) Vanishes

The average score is 64%

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