BITSAT TYPE 3 - Start Exam

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BITSAT TYPE 3

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1 / 130

1. Cloze: He was ____ tired to continue.

1) too

2) much

3) so

4) very

2 / 130

2. Simplify: (x^8)·(x^4) equals

1) x^2.0

2) x^32

3) x^12

4) x^4

3 / 130

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

1) assure

2) enclose

3) ensure

4) insure

4 / 130

4. Bakelite is formed by condensation of

1) Vinyl chloride monomers

2) Phenol and formaldehyde

3) Ethene monomers

4) Glucose units

5 / 130

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

1) Saturday

2) Sunday

3) Monday

4) Friday

6 / 130

6. Oxidation state of nitrogen in NH₃ is

1) −1

2) +5

3) −3

4) +3

7 / 130

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

1) 5π

2) 50π

3) 25π

4) 10π

8 / 130

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

1) 8

2) 4

3) 2

4) 6

9 / 130

9. The SI unit of resistance is

1) Volt

2) Watt

3) Ampere

4) Ohm

10 / 130

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

1) 223

2) 91

3) 221

4) 31

11 / 130

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

1) 3.63e-04 J

2) 3.30e+01 J

3) 1.81e-04 J

4) 3.63e+02 J

12 / 130

12. If log₁₀ x = 2, then x is

1) 10

2) 200

3) 20

4) 100

13 / 130

13. Most common oxidation state of Mn in compounds is

1) +6

2) +5

3) +2

4) +7

14 / 130

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

1) rate = k[A+B]

2) rate = k[A]

3) rate = k[A]²

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

15 / 130

15. Simplify: (x^7)·(x^3) equals

1) x^10

2) x^21

3) x^2.3333333333333335

4) x^4

16 / 130

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

1) 54.0 J

2) 529.2 J

3) 264.6 J

4) 88.2 J

17 / 130

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

1) 11.111 mol

2) 0.900 mol

3) 360.0 mol

4) 1.111 mol

18 / 130

18. 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

19 / 130

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

1) 2.533 m

2) 0.789 m

3) 114000.0 m

4) 1.267 m

20 / 130

20. The sum of angles of a triangle is

1) 360°

2) 180°

3) 90°

4) 270°

21 / 130

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

1) 0.240 m/s²

2) 5.17 m/s²

3) 150.0 m/s²

4) 4.17 m/s²

22 / 130

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

1) READ

2) DRAW

3) CUT

4) SING

23 / 130

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

1) Unchanged

2) Four times

3) Double

4) Half

24 / 130

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

1) 100

2) 83

3) 81

4) 80

25 / 130

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

1) 25.00 J

2) 400 J

3) 104 J

4) 200 J

26 / 130

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

1) 18 Ω

2) 2 Ω

3) 11 Ω

4) 18/11 Ω

27 / 130

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

1) 8

2) 15

3) 10

4) 12

28 / 130

28. Which oxide is acidic?

1) SO₃

2) Na₂O

3) MgO

4) CaO

29 / 130

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

1) 60°

2) 90°

3) 30°

4) 45°

30 / 130

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

1) 4

2) 4π

3) Option 4

4) 2π

31 / 130

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

1) 0.65 s

2) 122.12 s

3) 0.32 s

4) 0.16 s

32 / 130

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

1) CNRJC

2) AHPLA

3) DOSKD

4) BMQIB

33 / 130

33. ∫ (1/x) dx equals

1) 1/x + C

2) e^x + C

3) ln|x| + C

4) x + C

34 / 130

34. IUPAC name of CH₃CH₂CHO is

1) Butanal

2) Propanone

3) Ethanal

4) Propanal

35 / 130

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

1) 29

2) 33

3) 27

4) 31

36 / 130

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

1) 30

2) 15

3) 6

4) 20

37 / 130

37. The value of (−2)^3 is

1) 6

2) −8

3) −6

4) 8

38 / 130

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

1) L mol⁻¹ s⁻¹

2) s⁻¹

3) L² mol⁻² s⁻¹

4) mol L⁻¹ s⁻¹

39 / 130

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

1) √37

2) 37

3) 7

4) √38

40 / 130

40. Functional group in carboxylic acids is

1) –OH

2) –CHO

3) –CO–

4) –COOH

41 / 130

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

1) Some BLOOMS may be RED

2) All RED are BLOOMS

3) All BLOOMS are RED

4) No BLOOMS are RED

42 / 130

42. 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

43 / 130

43. Choose the antonym of ‘scarce’:

1) few

2) rare

3) abundant

4) limited

44 / 130

44. Refractive index n of a medium is defined as

1) ν/λ

2) c/v

3) v/c

4) λ/ν

45 / 130

45. Sum of first 11 natural numbers is

1) 121

2) 66

3) 55

4) 78

46 / 130

46. A transformer operates on the principle of

1) Thermionic emission

2) Photoelectric effect

3) Electrostatics

4) Mutual induction

47 / 130

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

1) mol L⁻¹ s⁻¹

2) s⁻¹

3) L mol⁻¹ s⁻¹

4) dimensionless

48 / 130

48. Sum of squares 1²+2²+…+6² equals

1) 182

2) 21

3) 126

4) 91

49 / 130

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

1) 120

2) 1000

3) 720

4) 3628800

50 / 130

50. 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

51 / 130

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

1) 7.50 m/s²

2) 0.133 m/s²

3) 30.0 m/s²

4) 8.50 m/s²

52 / 130

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

1) None of these

2) BITS

3) ZIBS

4) TESTS

53 / 130

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

1) 1

2) 2

3) 4

4) 6

54 / 130

54. 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

55 / 130

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

1) at

2) for

3) on

4) in

56 / 130

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

1) 3.14 m

2) 77 m

3) 154 m

4) 29 m

57 / 130

57. 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

58 / 130

58. The correct order of increasing ionic radii is

1) Mg²⁺ < Na⁺ < Al³⁺

2) Al³⁺ < Mg²⁺ < Na⁺

3) Na⁺ < Mg²⁺ < Al³⁺

4) Al³⁺ < Na⁺ < Mg²⁺

59 / 130

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

1) -40.80 eV

2) 1.51 eV

3) -4.53 eV

4) -1.51 eV

60 / 130

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

1) Kc must be negative

2) Reaction does not occur

3) Equilibrium lies far to the right

4) Equilibrium lies far to the left

61 / 130

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

1) 19.00 m

2) 8.06 m

3) 11.00 m

4) 3.00 m

62 / 130

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

1) 9 μF

2) 14/9 μF

3) 7 μF

4) 14 μF

63 / 130

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

1) 28 kg·m/s

2) 14.0 kg·m/s

3) 11 kg·m/s

4) 196 kg·m/s

64 / 130

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

1) Positive

2) Negative

3) 0

4) Depends on speed only

65 / 130

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

1) in

2) for

3) at

4) on

66 / 130

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

1) Branch

2) Root

3) Tree

4) Fruit

67 / 130

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

1) Option 4

2) 350.0°

3) 120.0°

4) 10.0°

68 / 130

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

1) 36

2) 8190

3) 6144

4) 8194

69 / 130

69. 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)

70 / 130

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

1) Option 4

2) 108.0 J

3) 54.0 J

4) 18.0 J

71 / 130

71. Photon energy for wavelength 620 nm is approximately

1) 620.0 eV

2) 1.00 eV

3) 4.00 eV

4) 2.00 eV

72 / 130

72. 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) -6.00 m/s²

4) 18.00 m/s²

73 / 130

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

1) CZSZ

2) FCVC

3) EBUB

4) EBTA

74 / 130

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

1) 5.88e+05 N/C

2) 2.06e+05 N/C

3) 2.52e+04 N/C

4) 5.88e+04 N/C

75 / 130

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

1) (8,10)

2) (4,5)

3) (2,7)

4) (6,3)

76 / 130

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

1) B

2) A

3) C

4) Z

77 / 130

77. Choose the synonym of ‘lucid’:

1) clear

2) vague

3) opaque

4) dull

78 / 130

78. The value of i^2 equals

1) i

2) −1

3) 1

4) −i

79 / 130

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

1) Narrows

2) Vanishes

3) Becomes a conductor

4) Widens

80 / 130

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

1) Circle

2) Cube

3) Square

4) Triangle

81 / 130

81. Value of log₁₀(10^11) is

1) 11

2) 1/11

3) 100000000000

4) 10

82 / 130

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

1) 15.5 V

2) 42.0 V

3) 0.29 V

4) 84.0 V

83 / 130

83. If f(x)=x², then f(−3) equals

1) −3

2) −9

3) 9

4) 3

84 / 130

84. The geometry of NH₄⁺ is

1) Tetrahedral

2) Trigonal planar

3) Square planar

4) Linear

85 / 130

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

1) Tertiary alcohol (slowest)

2) Phenol

3) Secondary alcohol

4) Primary alcohol (fastest)

86 / 130

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

1) 3

2) 5

3) 4

4) 6

87 / 130

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

1) anecdote

2) epitaph

3) extempore

4) epicure

88 / 130

88. If a matrix is 2×3, it has

1) 3 rows and 2 columns

2) 2 rows and 3 columns

3) 3 rows and 3 columns

4) 2 columns and 2 rows

89 / 130

89. If z = 3 − 4i, then |z| equals

1) √7

2) 7

3) 1

4) 5

90 / 130

90. The oxidizing agent among these is

1) CH₃CH₂OH

2) KMnO₄ (acidic medium)

3) NaBH₄

4) NH₃

91 / 130

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

1) π/3

2) π/2

3) π

4) π/4

92 / 130

92. Choose the antonym of ‘augment’:

1) increase

2) enhance

3) expand

4) diminish

93 / 130

93. Which quantity is a vector?

1) Energy

2) Time

3) Temperature

4) Momentum

94 / 130

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

1) 3905

2) 25

3) 3910

4) 3125

95 / 130

95. Which has the highest electronegativity among these elements?

1) Oxygen

2) Fluorine

3) Nitrogen

4) Chlorine

96 / 130

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

1) Peroxides

2) H₂SO₄

3) Water

4) UV only (without peroxides)

97 / 130

97. Which compound exhibits optical isomerism?

1) CH₃CH₂OH

2) CH₃CH₂CH₂CH₃

3) CH₃CH(OH)CH₂CH₃

4) CH₂=CH₂

98 / 130

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

1) 2.778 mol

2) 0.360 mol

3) 27.778 mol

4) 900.0 mol

99 / 130

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

1) Cannot be concluded

2) Definitely false

3) Both true and false

4) Definitely true

100 / 130

100. Compute lim(x→6) (x³−216)/(x−6)

1) 108

2) 18

3) 12

4) 36

101 / 130

101. 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) -20.0 cm

3) -6.7 cm

4) 10.0 cm

102 / 130

102. Value of log₁₀(10^7) is

1) 1/7

2) 10

3) 10000000

4) 7

103 / 130

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

1) 33

2) 162

3) 81

4) 165

104 / 130

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

1) 9

2) 1

3) Option 4

4) -7

105 / 130

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

1) Metaphor

2) Irony

3) Hyperbole

4) Simile

106 / 130

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

1) 27

2) 24

3) 48

4) 96

107 / 130

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

1) Momentum

2) Energy

3) Mass

4) Charge

108 / 130

108. Value of 0! is

1) Undefined

2) 1

3) 0

4) Infinity

109 / 130

109. If x² = 49, then x can be

1) 49

2) ±7

3) −7 only

4) 7 only

110 / 130

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

1) Independent of composition

2) Proportional to its mole fraction

3) Always equal to pure solvent vapor pressure

4) Always zero

111 / 130

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

1) π electrons

2) protons

3) σ electrons

4) neutrons

112 / 130

112. 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) 0.20 V

3) 1560.00 V

4) 3.71 V

113 / 130

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

1) (3,9)

2) (2,4)

3) (6,36)

4) (4,16)

114 / 130

114. A strong electrolyte in water is

1) Urea

2) NaCl

3) Glucose

4) Sucrose

115 / 130

115. Solution of 3x − 5 = 10 is

1) 10

2) 5

3) -5

4) 3

116 / 130

116. Value of cos 45° is

1) √3/2

2) Option 4

3) √2/2

4) 1/2

117 / 130

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

1) 550

2) 385

3) 770

4) 55

118 / 130

118. Derivative of ln x is

1) ln x

2) 1/x

3) e^x

4) x

119 / 130

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

1) Zero

2) Decreasing

3) Increasing

4) Constant

120 / 130

120. Hydrogen bonding is strongest in

1) HI

2) HBr

3) HF

4) HCl

121 / 130

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

1) 54

2) 48

3) 66

4) 60

122 / 130

122. 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) 1.67 m/s²

3) -1.67 m/s²

4) 11.00 m/s²

123 / 130

123. A buffer can be prepared by mixing

1) CH₃COOH and CH₃COONa

2) HCl and NaCl

3) HNO₃ and KNO₃

4) NaOH and NaCl

124 / 130

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

1) -96

2) -104

3) -112

4) 16

125 / 130

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

1) 1.80 W

2) 180.00 W

3) 16.20 W

4) 32.40 W

126 / 130

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

1) PCC

2) KMnO₄ (hot)

3) K₂Cr₂O₇ (reflux)

4) NaOH(aq)

127 / 130

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

1) Cannot be determined

2) Definitely false

3) Both true and false

4) Definitely true

128 / 130

128. Choose the synonym of ‘abate’:

1) reduce

2) increase

3) inflate

4) provoke

129 / 130

129. Sum of first 7 natural numbers is

1) 36

2) 28

3) 49

4) 21

130 / 130

130. 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) 1.150 V

3) 1.120 V

4) 2.241 V

The average score is 64%

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