BITSAT TYPE 3 - Start Exam

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BITSAT TYPE 3

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1 / 130

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

1) assure

2) insure

3) ensure

4) enclose

2 / 130

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

1) protons

2) π electrons

3) neutrons

4) σ electrons

3 / 130

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

1) π/2

2) π

3) π/3

4) π/4

4 / 130

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

1) 154 m

2) 3.14 m

3) 77 m

4) 29 m

5 / 130

5. Most common oxidation state of Mn in compounds is

1) +6

2) +5

3) +2

4) +7

6 / 130

6. If log₁₀ x = 2, then x is

1) 200

2) 100

3) 10

4) 20

7 / 130

7. Which compound exhibits optical isomerism?

1) CH₃CH(OH)CH₂CH₃

2) CH₃CH₂CH₂CH₃

3) CH₃CH₂OH

4) CH₂=CH₂

8 / 130

8. Choose the antonym of ‘augment’:

1) enhance

2) increase

3) diminish

4) expand

9 / 130

9. Solution of 3x − 5 = 10 is

1) 5

2) 3

3) -5

4) 10

10 / 130

10. 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

11 / 130

11. A strong electrolyte in water is

1) NaCl

2) Sucrose

3) Glucose

4) Urea

12 / 130

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

1) 2.06e+05 N/C

2) 2.52e+04 N/C

3) 5.88e+05 N/C

4) 5.88e+04 N/C

13 / 130

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

1) (6,36)

2) (4,16)

3) (2,4)

4) (3,9)

14 / 130

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

1) 0.133 m/s²

2) 8.50 m/s²

3) 30.0 m/s²

4) 7.50 m/s²

15 / 130

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

1) 12

2) 10

3) 15

4) 8

16 / 130

16. A catalyst increases the rate by

1) Changing equilibrium constant

2) Increasing ΔH

3) Providing an alternative pathway with lower activation energy

4) Changing products

17 / 130

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

1) 4

2) 6

3) 2

4) 1

18 / 130

18. A buffer can be prepared by mixing

1) HNO₃ and KNO₃

2) NaOH and NaCl

3) CH₃COOH and CH₃COONa

4) HCl and NaCl

19 / 130

19. Which quantity is a vector?

1) Time

2) Momentum

3) Energy

4) Temperature

20 / 130

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

1) 122.12 s

2) 0.16 s

3) 0.65 s

4) 0.32 s

21 / 130

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

1) Positive

2) Negative

3) Depends on speed only

4) 0

22 / 130

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

1) 4

2) 5

3) 6

4) 3

23 / 130

23. Value of log₁₀(10^11) is

1) 1/11

2) 10

3) 11

4) 100000000000

24 / 130

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

1) 27

2) 33

3) 31

4) 29

25 / 130

25. If x² = 49, then x can be

1) ±7

2) 7 only

3) −7 only

4) 49

26 / 130

26. Sum of first 7 natural numbers is

1) 36

2) 49

3) 21

4) 28

27 / 130

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

1) 8194

2) 36

3) 8190

4) 6144

28 / 130

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

1) √37

2) 7

3) √38

4) 37

29 / 130

29. Oxidation state of nitrogen in NH₃ is

1) +3

2) −3

3) +5

4) −1

30 / 130

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

1) No BLOOMS are RED

2) All BLOOMS are RED

3) All RED are BLOOMS

4) Some BLOOMS may be RED

31 / 130

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

1) 19.00 m

2) 11.00 m

3) 8.06 m

4) 3.00 m

32 / 130

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

1) 2π

2) 4π

3) 4

4) Option 4

33 / 130

33. Value of cos 45° is

1) Option 4

2) √2/2

3) √3/2

4) 1/2

34 / 130

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

1) Option 4

2) 10.0°

3) 350.0°

4) 120.0°

35 / 130

35. The SI unit of resistance is

1) Volt

2) Watt

3) Ampere

4) Ohm

36 / 130

36. A transformer operates on the principle of

1) Mutual induction

2) Electrostatics

3) Photoelectric effect

4) Thermionic emission

37 / 130

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

1) (2,7)

2) (8,10)

3) (4,5)

4) (6,3)

38 / 130

38. Sum of squares 1²+2²+…+10² equals

1) 550

2) 385

3) 55

4) 770

39 / 130

39. Which has the highest electronegativity among these elements?

1) Oxygen

2) Nitrogen

3) Fluorine

4) Chlorine

40 / 130

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

1) 81

2) 100

3) 80

4) 83

41 / 130

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

1) 3628800

2) 720

3) 1000

4) 120

42 / 130

42. If z = 3 − 4i, then |z| equals

1) √7

2) 1

3) 7

4) 5

43 / 130

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

1) anecdote

2) extempore

3) epicure

4) epitaph

44 / 130

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

1) AQPMF

2) BPPMF

3) BQPNE

4) BQQMF

45 / 130

45. The correct order of increasing ionic radii is

1) Mg²⁺ < Na⁺ < Al³⁺

2) Na⁺ < Mg²⁺ < Al³⁺

3) Al³⁺ < Na⁺ < Mg²⁺

4) Al³⁺ < Mg²⁺ < Na⁺

46 / 130

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

1) Four times

2) Half

3) Double

4) Unchanged

47 / 130

47. Hydrogen bonding is strongest in

1) HCl

2) HF

3) HBr

4) HI

48 / 130

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

1) 6

2) 8

3) 2

4) 4

49 / 130

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

1) 42.0 V

2) 84.0 V

3) 15.5 V

4) 0.29 V

50 / 130

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

1) CNRJC

2) DOSKD

3) AHPLA

4) BMQIB

51 / 130

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

1) Mass

2) Momentum

3) Energy

4) Charge

52 / 130

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

1) Circle

2) Cube

3) Square

4) Triangle

53 / 130

53. Refractive index n of a medium is defined as

1) λ/ν

2) ν/λ

3) v/c

4) c/v

54 / 130

54. 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) 264.6 J

4) 529.2 J

55 / 130

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

1) s⁻¹

2) dimensionless

3) L mol⁻¹ s⁻¹

4) mol L⁻¹ s⁻¹

56 / 130

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

1) 48

2) 54

3) 60

4) 66

57 / 130

57. Value of 0! is

1) 1

2) Undefined

3) Infinity

4) 0

58 / 130

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

1) at

2) in

3) for

4) on

59 / 130

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

1) Simile

2) Hyperbole

3) Metaphor

4) Irony

60 / 130

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

1) 20

2) 15

3) 6

4) 30

61 / 130

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

1) -104

2) -112

3) 16

4) -96

62 / 130

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

1) Phenol

2) Secondary alcohol

3) Tertiary alcohol (slowest)

4) Primary alcohol (fastest)

63 / 130

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

1) mol L⁻¹ s⁻¹

2) L² mol⁻² s⁻¹

3) L mol⁻¹ s⁻¹

4) s⁻¹

64 / 130

64. 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

65 / 130

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

1) DRAW

2) CUT

3) SING

4) READ

66 / 130

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

1) 30°

2) 90°

3) 45°

4) 60°

67 / 130

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

1) Widens

2) Vanishes

3) Becomes a conductor

4) Narrows

68 / 130

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

1) 18/11 Ω

2) 18 Ω

3) 11 Ω

4) 2 Ω

69 / 130

69. Choose the antonym of ‘scarce’:

1) few

2) limited

3) abundant

4) rare

70 / 130

70. Cloze: He was ____ tired to continue.

1) so

2) much

3) very

4) too

71 / 130

71. The value of i^2 equals

1) −i

2) 1

3) −1

4) i

72 / 130

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

1) Both true and false

2) Cannot be concluded

3) Definitely false

4) Definitely true

73 / 130

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

1) Brother

2) Uncle

3) Father

4) Sister

74 / 130

74. Simplify: (x^8)·(x^4) equals

1) x^12

2) x^32

3) x^2.0

4) x^4

75 / 130

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

1) Definitely true

2) Definitely false

3) Both true and false

4) Cannot be determined

76 / 130

76. 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) -6.7 cm

3) -20.0 cm

4) 10.0 cm

77 / 130

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

1) Fruit

2) Root

3) Branch

4) Tree

78 / 130

78. 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) 59.28 V

2) 1560.00 V

3) 0.20 V

4) 3.71 V

79 / 130

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

1) 28 kg·m/s

2) 196 kg·m/s

3) 14.0 kg·m/s

4) 11 kg·m/s

80 / 130

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

1) 1.120 V

2) 2.241 V

3) 1.150 V

4) 1.180 V

81 / 130

81. Compute lim(x→6) (x³−216)/(x−6)

1) 108

2) 12

3) 18

4) 36

82 / 130

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

1) Decreasing

2) Constant

3) Increasing

4) Zero

83 / 130

83. Photon energy for wavelength 620 nm is approximately

1) 620.0 eV

2) 4.00 eV

3) 2.00 eV

4) 1.00 eV

84 / 130

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

1) at

2) in

3) for

4) on

85 / 130

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

1) Only kinetic energy

2) Neither

3) Both momentum and kinetic energy

4) Only momentum

86 / 130

86. Sum of first 11 natural numbers is

1) 55

2) 78

3) 121

4) 66

87 / 130

87. Sum of squares 1²+2²+…+6² equals

1) 182

2) 91

3) 126

4) 21

88 / 130

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

1) 900.0 mol

2) 27.778 mol

3) 2.778 mol

4) 0.360 mol

89 / 130

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

1) -6.00 m/s²

2) 14.00 m/s²

3) 18.00 m/s²

4) 6.00 m/s²

90 / 130

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

1) 221

2) 91

3) 223

4) 31

91 / 130

91. 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) 1.67 m/s²

3) 10.00 m/s²

4) 11.00 m/s²

92 / 130

92. 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) 360.0 mol

4) 11.111 mol

93 / 130

93. The geometry of NH₄⁺ is

1) Trigonal planar

2) Tetrahedral

3) Linear

4) Square planar

94 / 130

94. Choose the synonym of ‘lucid’:

1) opaque

2) dull

3) clear

4) vague

95 / 130

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

1) 18.0 J

2) 54.0 J

3) Option 4

4) 108.0 J

96 / 130

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

1) 27

2) 96

3) 24

4) 48

97 / 130

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

1) -7

2) 9

3) Option 4

4) 1

98 / 130

98. The oxidizing agent among these is

1) NH₃

2) KMnO₄ (acidic medium)

3) CH₃CH₂OH

4) NaBH₄

99 / 130

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

1) TESTS

2) None of these

3) ZIBS

4) BITS

100 / 130

100. Which oxide is acidic?

1) SO₃

2) MgO

3) CaO

4) Na₂O

101 / 130

101. ∫ (1/x) dx equals

1) x + C

2) 1/x + C

3) e^x + C

4) ln|x| + C

102 / 130

102. Simplify: (x^7)·(x^3) equals

1) x^2.3333333333333335

2) x^21

3) x^4

4) x^10

103 / 130

103. The value of (−2)^3 is

1) 6

2) −8

3) 8

4) −6

104 / 130

104. Functional group in carboxylic acids is

1) –OH

2) –CO–

3) –CHO

4) –COOH

105 / 130

105. 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)

106 / 130

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

1) 150.0 m/s²

2) 5.17 m/s²

3) 0.240 m/s²

4) 4.17 m/s²

107 / 130

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

1) 1.51 eV

2) -40.80 eV

3) -4.53 eV

4) -1.51 eV

108 / 130

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

1) 10π

2) 5π

3) 50π

4) 25π

109 / 130

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

1) A

2) C

3) Z

4) B

110 / 130

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

1) NaOH(aq)

2) PCC

3) K₂Cr₂O₇ (reflux)

4) KMnO₄ (hot)

111 / 130

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

1) 33

2) 162

3) 81

4) 165

112 / 130

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

1) Always equal to pure solvent vapor pressure

2) Proportional to its mole fraction

3) Independent of composition

4) Always zero

113 / 130

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

1) 25

2) 3910

3) 3905

4) 3125

114 / 130

114. If f(x)=x², then f(−3) equals

1) 9

2) −3

3) 3

4) −9

115 / 130

115. Bakelite is formed by condensation of

1) Ethene monomers

2) Phenol and formaldehyde

3) Vinyl chloride monomers

4) Glucose units

116 / 130

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

1) EBUB

2) CZSZ

3) FCVC

4) EBTA

117 / 130

117. IUPAC name of CH₃CH₂CHO is

1) Butanal

2) Propanone

3) Propanal

4) Ethanal

118 / 130

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

1) 7 μF

2) 14/9 μF

3) 14 μF

4) 9 μF

119 / 130

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

1) 200 J

2) 25.00 J

3) 104 J

4) 400 J

120 / 130

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

1) Reaction does not occur

2) Equilibrium lies far to the left

3) Equilibrium lies far to the right

4) Kc must be negative

121 / 130

121. Value of log₁₀(10^7) is

1) 1/7

2) 10

3) 7

4) 10000000

122 / 130

122. Derivative of ln x is

1) 1/x

2) ln x

3) x

4) e^x

123 / 130

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

1) Monday

2) Sunday

3) Friday

4) Saturday

124 / 130

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

1) 0.789 m

2) 2.533 m

3) 114000.0 m

4) 1.267 m

125 / 130

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

1) Peroxides

2) Water

3) H₂SO₄

4) UV only (without peroxides)

126 / 130

126. The sum of angles of a triangle is

1) 270°

2) 180°

3) 90°

4) 360°

127 / 130

127. If a matrix is 2×3, it has

1) 2 rows and 3 columns

2) 3 rows and 3 columns

3) 3 rows and 2 columns

4) 2 columns and 2 rows

128 / 130

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

1) 1.00

2) 2.35

3) 4.00

4) 7.00

129 / 130

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

1) rate = k[A]²

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

3) rate = k[A]

4) rate = k[A+B]

130 / 130

130. Choose the synonym of ‘abate’:

1) inflate

2) reduce

3) provoke

4) increase

The average score is 64%

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