BITSAT TYPE 3 – Start Exam

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BITSAT TYPE 3

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1 / 130

1. 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)

2 / 130

2. Which oxide is acidic?

1) Na₂O

2) CaO

3) MgO

4) SO₃

3 / 130

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

1) 54

2) 48

3) 60

4) 66

4 / 130

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

1) CZSZ

2) EBUB

3) FCVC

4) EBTA

5 / 130

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

1) 25

2) 3905

3) 3125

4) 3910

6 / 130

6. Refractive index n of a medium is defined as

1) ν/λ

2) v/c

3) c/v

4) λ/ν

7 / 130

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

1) 4.17 m/s²

2) 5.17 m/s²

3) 0.240 m/s²

4) 150.0 m/s²

8 / 130

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

1) Option 4

2) 120.0°

3) 10.0°

4) 350.0°

9 / 130

9. Hydrogen bonding is strongest in

1) HI

2) HF

3) HBr

4) HCl

10 / 130

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

1) 4

2) 2π

3) Option 4

4) 4π

11 / 130

11. Photon energy for wavelength 620 nm is approximately

1) 1.00 eV

2) 2.00 eV

3) 4.00 eV

4) 620.0 eV

12 / 130

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

1) BMQIB

2) DOSKD

3) CNRJC

4) AHPLA

13 / 130

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

1) Peroxides

2) H₂SO₄

3) Water

4) UV only (without peroxides)

14 / 130

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

1) Cube

2) Circle

3) Square

4) Triangle

15 / 130

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

1) Saturday

2) Sunday

3) Monday

4) Friday

16 / 130

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

1) 6

2) 30

3) 15

4) 20

17 / 130

17. 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) 19.00 m

4) 8.06 m

18 / 130

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

1) mol L⁻¹ s⁻¹

2) L mol⁻¹ s⁻¹

3) L² mol⁻² s⁻¹

4) s⁻¹

19 / 130

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

1) 0

2) Positive

3) Negative

4) Depends on speed only

20 / 130

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

1) Neither

2) Only kinetic energy

3) Both momentum and kinetic energy

4) Only momentum

21 / 130

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

1) 0.133 m/s²

2) 7.50 m/s²

3) 8.50 m/s²

4) 30.0 m/s²

22 / 130

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

1) 14.0 kg·m/s

2) 28 kg·m/s

3) 11 kg·m/s

4) 196 kg·m/s

23 / 130

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

1) 8

2) 2

3) 4

4) 6

24 / 130

24. Choose the antonym of ‘augment’:

1) enhance

2) diminish

3) expand

4) increase

25 / 130

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

1) at

2) on

3) for

4) in

26 / 130

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

1) 6

2) 3

3) 5

4) 4

27 / 130

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

1) 223

2) 91

3) 31

4) 221

28 / 130

28. The sum of angles of a triangle is

1) 180°

2) 360°

3) 90°

4) 270°

29 / 130

29. A buffer can be prepared by mixing

1) CH₃COOH and CH₃COONa

2) HNO₃ and KNO₃

3) HCl and NaCl

4) NaOH and NaCl

30 / 130

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

1) Half

2) Unchanged

3) Four times

4) Double

31 / 130

31. If a matrix is 2×3, it has

1) 3 rows and 3 columns

2) 3 rows and 2 columns

3) 2 columns and 2 rows

4) 2 rows and 3 columns

32 / 130

32. The oxidizing agent among these is

1) NaBH₄

2) NH₃

3) CH₃CH₂OH

4) KMnO₄ (acidic medium)

33 / 130

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

1) 3.63e+02 J

2) 1.81e-04 J

3) 3.63e-04 J

4) 3.30e+01 J

34 / 130

34. Sum of first 7 natural numbers is

1) 21

2) 28

3) 49

4) 36

35 / 130

35. If f(x)=x², then f(−3) equals

1) 3

2) −9

3) 9

4) −3

36 / 130

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

1) 16.20 W

2) 1.80 W

3) 32.40 W

4) 180.00 W

37 / 130

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

1) 8

2) 12

3) 10

4) 15

38 / 130

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

1) Father

2) Brother

3) Sister

4) Uncle

39 / 130

39. Compute lim(x→6) (x³−216)/(x−6)

1) 18

2) 36

3) 12

4) 108

40 / 130

40. Simplify: (x^7)·(x^3) equals

1) x^2.3333333333333335

2) x^4

3) x^21

4) x^10

41 / 130

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

1) Z

2) A

3) B

4) C

42 / 130

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

1) Decreasing

2) Increasing

3) Zero

4) Constant

43 / 130

43. Sum of first 11 natural numbers is

1) 121

2) 78

3) 55

4) 66

44 / 130

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

1) (4,5)

2) (6,3)

3) (2,7)

4) (8,10)

45 / 130

45. Functional group in carboxylic acids is

1) –CHO

2) –COOH

3) –OH

4) –CO–

46 / 130

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

1) for

2) in

3) at

4) on

47 / 130

47. If x² = 49, then x can be

1) ±7

2) −7 only

3) 7 only

4) 49

48 / 130

48. A transformer operates on the principle of

1) Thermionic emission

2) Photoelectric effect

3) Mutual induction

4) Electrostatics

49 / 130

49. If log₁₀ x = 2, then x is

1) 10

2) 100

3) 20

4) 200

50 / 130

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

1) 108.0 J

2) Option 4

3) 54.0 J

4) 18.0 J

51 / 130

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

1) protons

2) π electrons

3) σ electrons

4) neutrons

52 / 130

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

1) ZIBS

2) None of these

3) BITS

4) TESTS

53 / 130

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

1) BPPMF

2) BQPNE

3) BQQMF

4) AQPMF

54 / 130

54. The SI unit of resistance is

1) Ohm

2) Volt

3) Ampere

4) Watt

55 / 130

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

1) rate = k[A+B]

2) rate = k[A]

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

4) rate = k[A]²

56 / 130

56. The geometry of NH₄⁺ is

1) Linear

2) Tetrahedral

3) Trigonal planar

4) Square planar

57 / 130

57. Which has the highest electronegativity among these elements?

1) Fluorine

2) Nitrogen

3) Chlorine

4) Oxygen

58 / 130

58. Value of cos 45° is

1) √3/2

2) √2/2

3) 1/2

4) Option 4

59 / 130

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

1) epicure

2) anecdote

3) epitaph

4) extempore

60 / 130

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

1) Definitely false

2) Cannot be concluded

3) Both true and false

4) Definitely true

61 / 130

61. Choose the synonym of ‘abate’:

1) increase

2) reduce

3) inflate

4) provoke

62 / 130

62. Derivative of ln x is

1) e^x

2) ln x

3) 1/x

4) x

63 / 130

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

1) 2 Ω

2) 11 Ω

3) 18 Ω

4) 18/11 Ω

64 / 130

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

1) √38

2) 7

3) 37

4) √37

65 / 130

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

1) 0.360 mol

2) 900.0 mol

3) 2.778 mol

4) 27.778 mol

66 / 130

66. Value of 0! is

1) 1

2) Undefined

3) Infinity

4) 0

67 / 130

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

1) -96

2) -112

3) -104

4) 16

68 / 130

68. Value of log₁₀(10^7) is

1) 1/7

2) 7

3) 10

4) 10000000

69 / 130

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

1) 9

2) 1

3) -7

4) Option 4

70 / 130

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

1) 77 m

2) 3.14 m

3) 29 m

4) 154 m

71 / 130

71. A catalyst increases the rate by

1) Changing equilibrium constant

2) Providing an alternative pathway with lower activation energy

3) Changing products

4) Increasing ΔH

72 / 130

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

1) Becomes a conductor

2) Widens

3) Narrows

4) Vanishes

73 / 130

73. 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

74 / 130

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

1) Reaction does not occur

2) Equilibrium lies far to the right

3) Equilibrium lies far to the left

4) Kc must be negative

75 / 130

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

1) π/4

2) π/3

3) π

4) π/2

76 / 130

76. ∫ (1/x) dx equals

1) ln|x| + C

2) e^x + C

3) 1/x + C

4) x + C

77 / 130

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

1) 104 J

2) 400 J

3) 25.00 J

4) 200 J

78 / 130

78. 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

79 / 130

79. Bakelite is formed by condensation of

1) Glucose units

2) Phenol and formaldehyde

3) Ethene monomers

4) Vinyl chloride monomers

80 / 130

80. Simplify: (x^8)·(x^4) equals

1) x^2.0

2) x^32

3) x^12

4) x^4

81 / 130

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

1) 6.7 cm

2) 10.0 cm

3) -6.7 cm

4) -20.0 cm

82 / 130

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

1) Hyperbole

2) Metaphor

3) Simile

4) Irony

83 / 130

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

1) 81

2) 165

3) 162

4) 33

84 / 130

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

1) Fruit

2) Tree

3) Root

4) Branch

85 / 130

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

1) NaOH(aq)

2) KMnO₄ (hot)

3) PCC

4) K₂Cr₂O₇ (reflux)

86 / 130

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

1) 1000

2) 3628800

3) 720

4) 120

87 / 130

87. Solution of 3x − 5 = 10 is

1) -5

2) 3

3) 10

4) 5

88 / 130

88. IUPAC name of CH₃CH₂CHO is

1) Propanal

2) Propanone

3) Butanal

4) Ethanal

89 / 130

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

1) 1

2) 4

3) 6

4) 2

90 / 130

90. Cloze: He was ____ tired to continue.

1) much

2) too

3) so

4) very

91 / 130

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

1) 80

2) 100

3) 81

4) 83

92 / 130

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

1) s⁻¹

2) mol L⁻¹ s⁻¹

3) L mol⁻¹ s⁻¹

4) dimensionless

93 / 130

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

1) 7.00

2) 2.35

3) 1.00

4) 4.00

94 / 130

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

1) CUT

2) SING

3) DRAW

4) READ

95 / 130

95. 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

96 / 130

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

1) 88.2 J

2) 54.0 J

3) 529.2 J

4) 264.6 J

97 / 130

97. The value of i^2 equals

1) −1

2) 1

3) i

4) −i

98 / 130

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

1) Momentum

2) Charge

3) Mass

4) Energy

99 / 130

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

1) 1.180 V

2) 2.241 V

3) 1.150 V

4) 1.120 V

100 / 130

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

1) 30°

2) 45°

3) 60°

4) 90°

101 / 130

101. Choose the antonym of ‘scarce’:

1) rare

2) limited

3) abundant

4) few

102 / 130

102. 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) 1560.00 V

2) 0.20 V

3) 3.71 V

4) 59.28 V

103 / 130

103. A strong electrolyte in water is

1) Sucrose

2) Urea

3) Glucose

4) NaCl

104 / 130

104. Which quantity is a vector?

1) Energy

2) Temperature

3) Time

4) Momentum

105 / 130

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

1) 10.00 m/s²

2) 11.00 m/s²

3) -1.67 m/s²

4) 1.67 m/s²

106 / 130

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

1) Proportional to its mole fraction

2) Always zero

3) Always equal to pure solvent vapor pressure

4) Independent of composition

107 / 130

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

1) 0.900 mol

2) 11.111 mol

3) 360.0 mol

4) 1.111 mol

108 / 130

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

1) 9 μF

2) 7 μF

3) 14/9 μF

4) 14 μF

109 / 130

109. 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) 122.12 s

3) 0.16 s

4) 0.65 s

110 / 130

110. If z = 3 − 4i, then |z| equals

1) 5

2) √7

3) 7

4) 1

111 / 130

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

1) 5.88e+05 N/C

2) 5.88e+04 N/C

3) 2.52e+04 N/C

4) 2.06e+05 N/C

112 / 130

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

1) 10π

2) 25π

3) 50π

4) 5π

113 / 130

113. Which compound exhibits optical isomerism?

1) CH₃CH₂OH

2) CH₃CH₂CH₂CH₃

3) CH₃CH(OH)CH₂CH₃

4) CH₂=CH₂

114 / 130

114. Choose the synonym of ‘lucid’:

1) opaque

2) vague

3) dull

4) clear

115 / 130

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

1) 8194

2) 6144

3) 36

4) 8190

116 / 130

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

1) Tertiary alcohol (slowest)

2) Primary alcohol (fastest)

3) Secondary alcohol

4) Phenol

117 / 130

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

1) ensure

2) insure

3) enclose

4) assure

118 / 130

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

1) (2,4)

2) (6,36)

3) (4,16)

4) (3,9)

119 / 130

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

1) All RED are BLOOMS

2) All BLOOMS are RED

3) Some BLOOMS may be RED

4) No BLOOMS are RED

120 / 130

120. The value of (−2)^3 is

1) 6

2) 8

3) −8

4) −6

121 / 130

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

1) 114000.0 m

2) 2.533 m

3) 1.267 m

4) 0.789 m

122 / 130

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

1) 24

2) 27

3) 96

4) 48

123 / 130

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

1) Definitely true

2) Both true and false

3) Cannot be determined

4) Definitely false

124 / 130

124. Sum of squares 1²+2²+…+6² equals

1) 182

2) 126

3) 91

4) 21

125 / 130

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

1) 29

2) 33

3) 27

4) 31

126 / 130

126. The correct order of increasing ionic radii is

1) Al³⁺ < Mg²⁺ < Na⁺

2) Mg²⁺ < Na⁺ < Al³⁺

3) Na⁺ < Mg²⁺ < Al³⁺

4) Al³⁺ < Na⁺ < Mg²⁺

127 / 130

127. Value of log₁₀(10^11) is

1) 1/11

2) 100000000000

3) 10

4) 11

128 / 130

128. Oxidation state of nitrogen in NH₃ is

1) −3

2) +5

3) +3

4) −1

129 / 130

129. Sum of squares 1²+2²+…+10² equals

1) 770

2) 385

3) 55

4) 550

130 / 130

130. Most common oxidation state of Mn in compounds is

1) +2

2) +6

3) +5

4) +7

The average score is 64%

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