BITSAT TYPE 3

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BITSAT TYPE 3

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1 / 130

1. Sum of squares 1²+2²+…+10² equals

1) 55

2) 770

3) 550

4) 385

2 / 130

2. Choose the antonym of ‘scarce’:

1) few

2) abundant

3) limited

4) rare

3 / 130

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

1) 16.20 W

2) 32.40 W

3) 1.80 W

4) 180.00 W

4 / 130

4. IUPAC name of CH₃CH₂CHO is

1) Butanal

2) Ethanal

3) Propanal

4) Propanone

5 / 130

5. Most common oxidation state of Mn in compounds is

1) +5

2) +6

3) +2

4) +7

6 / 130

6. The SI unit of resistance is

1) Ampere

2) Volt

3) Ohm

4) Watt

7 / 130

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

1) 5.17 m/s²

2) 0.240 m/s²

3) 150.0 m/s²

4) 4.17 m/s²

8 / 130

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

1) 2 Ω

2) 11 Ω

3) 18 Ω

4) 18/11 Ω

9 / 130

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

1) 223

2) 221

3) 31

4) 91

10 / 130

10. A transformer operates on the principle of

1) Photoelectric effect

2) Electrostatics

3) Mutual induction

4) Thermionic emission

11 / 130

11. The correct order of increasing ionic radii is

1) Al³⁺ < Mg²⁺ < Na⁺

2) Mg²⁺ < Na⁺ < Al³⁺

3) Al³⁺ < Na⁺ < Mg²⁺

4) Na⁺ < Mg²⁺ < Al³⁺

12 / 130

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

1) NaOH(aq)

2) PCC

3) KMnO₄ (hot)

4) K₂Cr₂O₇ (reflux)

13 / 130

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

1) 60°

2) 30°

3) 45°

4) 90°

14 / 130

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

1) 14.0 kg·m/s

2) 28 kg·m/s

3) 196 kg·m/s

4) 11 kg·m/s

15 / 130

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

1) √38

2) 7

3) √37

4) 37

16 / 130

16. Solution of 3x − 5 = 10 is

1) 3

2) -5

3) 10

4) 5

17 / 130

17. 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)

18 / 130

18. 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°

19 / 130

19. Photon energy for wavelength 620 nm is approximately

1) 2.00 eV

2) 620.0 eV

3) 1.00 eV

4) 4.00 eV

20 / 130

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

1) ZIBS

2) BITS

3) TESTS

4) None of these

21 / 130

21. Compute lim(x→6) (x³−216)/(x−6)

1) 18

2) 12

3) 108

4) 36

22 / 130

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

1) for

2) on

3) at

4) in

23 / 130

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

1) Unchanged

2) Four times

3) Half

4) Double

24 / 130

24. Cloze: He was ____ tired to continue.

1) much

2) so

3) very

4) too

25 / 130

25. Which quantity is a vector?

1) Time

2) Energy

3) Temperature

4) Momentum

26 / 130

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

1) 0.900 mol

2) 1.111 mol

3) 360.0 mol

4) 11.111 mol

27 / 130

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

1) π electrons

2) neutrons

3) protons

4) σ electrons

28 / 130

28. 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) No BLOOMS are RED

4) Some BLOOMS may be RED

29 / 130

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

1) BPPMF

2) BQPNE

3) AQPMF

4) BQQMF

30 / 130

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

1) 162

2) 165

3) 33

4) 81

31 / 130

31. Derivative of ln x is

1) 1/x

2) ln x

3) x

4) e^x

32 / 130

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

1) 25

2) 3910

3) 3125

4) 3905

33 / 130

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

1) 3.00 m

2) 8.06 m

3) 19.00 m

4) 11.00 m

34 / 130

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

1) Both true and false

2) Definitely true

3) Cannot be determined

4) Definitely false

35 / 130

35. If log₁₀ x = 2, then x is

1) 10

2) 20

3) 100

4) 200

36 / 130

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

1) Square

2) Triangle

3) Cube

4) Circle

37 / 130

37. 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

38 / 130

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

1) 36

2) 8194

3) 6144

4) 8190

39 / 130

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

1) on

2) at

3) in

4) for

40 / 130

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

1) Tertiary alcohol (slowest)

2) Secondary alcohol

3) Phenol

4) Primary alcohol (fastest)

41 / 130

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

1) 14 μF

2) 9 μF

3) 7 μF

4) 14/9 μF

42 / 130

42. If x² = 49, then x can be

1) 49

2) 7 only

3) −7 only

4) ±7

43 / 130

43. Value of cos 45° is

1) √3/2

2) √2/2

3) 1/2

4) Option 4

44 / 130

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

1) Only kinetic energy

2) Only momentum

3) Neither

4) Both momentum and kinetic energy

45 / 130

45. If f(x)=x², then f(−3) equals

1) −9

2) 3

3) −3

4) 9

46 / 130

46. Oxidation state of nitrogen in NH₃ is

1) −1

2) +3

3) +5

4) −3

47 / 130

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

1) Positive

2) Depends on speed only

3) Negative

4) 0

48 / 130

48. Sum of squares 1²+2²+…+6² equals

1) 91

2) 21

3) 182

4) 126

49 / 130

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

1) Monday

2) Friday

3) Saturday

4) Sunday

50 / 130

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

1) 50π

2) 10π

3) 25π

4) 5π

51 / 130

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

1) Option 4

2) 18.0 J

3) 54.0 J

4) 108.0 J

52 / 130

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

1) Definitely true

2) Both true and false

3) Cannot be concluded

4) Definitely false

53 / 130

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

1) s⁻¹

2) mol L⁻¹ s⁻¹

3) L mol⁻¹ s⁻¹

4) L² mol⁻² s⁻¹

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) -6.7 cm

2) 10.0 cm

3) -20.0 cm

4) 6.7 cm

55 / 130

55. The value of i^2 equals

1) i

2) 1

3) −1

4) −i

56 / 130

56. Sum of first 11 natural numbers is

1) 121

2) 78

3) 55

4) 66

57 / 130

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

1) CZSZ

2) FCVC

3) EBTA

4) EBUB

58 / 130

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

1) -7

2) 9

3) Option 4

4) 1

59 / 130

59. The value of (−2)^3 is

1) −6

2) 6

3) −8

4) 8

60 / 130

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

1) (6,3)

2) (4,5)

3) (2,7)

4) (8,10)

61 / 130

61. Which has the highest electronegativity among these elements?

1) Oxygen

2) Chlorine

3) Fluorine

4) Nitrogen

62 / 130

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

1) Always equal to pure solvent vapor pressure

2) Independent of composition

3) Proportional to its mole fraction

4) Always zero

63 / 130

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

1) DOSKD

2) AHPLA

3) BMQIB

4) CNRJC

64 / 130

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

1) π

2) π/3

3) π/2

4) π/4

65 / 130

65. The geometry of NH₄⁺ is

1) Square planar

2) Linear

3) Trigonal planar

4) Tetrahedral

66 / 130

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

1) 0.16 s

2) 0.32 s

3) 0.65 s

4) 122.12 s

67 / 130

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

1) 3

2) 5

3) 4

4) 6

68 / 130

68. Sum of first 7 natural numbers is

1) 21

2) 36

3) 28

4) 49

69 / 130

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

1) UV only (without peroxides)

2) Peroxides

3) H₂SO₄

4) Water

70 / 130

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

1) Option 4

2) 4

3) 4π

4) 2π

71 / 130

71. Functional group in carboxylic acids is

1) –CHO

2) –COOH

3) –OH

4) –CO–

72 / 130

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

1) Mass

2) Charge

3) Momentum

4) Energy

73 / 130

73. Hydrogen bonding is strongest in

1) HI

2) HF

3) HCl

4) HBr

74 / 130

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

1) (3,9)

2) (4,16)

3) (2,4)

4) (6,36)

75 / 130

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

1) Increasing

2) Zero

3) Decreasing

4) Constant

76 / 130

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

1) Widens

2) Becomes a conductor

3) Narrows

4) Vanishes

77 / 130

77. 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

78 / 130

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

1) 7.50 m/s²

2) 8.50 m/s²

3) 30.0 m/s²

4) 0.133 m/s²

79 / 130

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

1) 15

2) 6

3) 20

4) 30

80 / 130

80. Value of log₁₀(10^7) is

1) 10000000

2) 1/7

3) 10

4) 7

81 / 130

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

1) Root

2) Tree

3) Branch

4) Fruit

82 / 130

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

1) 6

2) 1

3) 2

4) 4

83 / 130

83. Choose the antonym of ‘augment’:

1) increase

2) expand

3) diminish

4) enhance

84 / 130

84. 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) 1.120 V

3) 1.150 V

4) 2.241 V

85 / 130

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

1) 27

2) 33

3) 29

4) 31

86 / 130

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

1) -1.51 eV

2) -4.53 eV

3) -40.80 eV

4) 1.51 eV

87 / 130

87. Choose the synonym of ‘lucid’:

1) vague

2) opaque

3) clear

4) dull

88 / 130

88. Bakelite is formed by condensation of

1) Vinyl chloride monomers

2) Glucose units

3) Ethene monomers

4) Phenol and formaldehyde

89 / 130

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

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

2) rate = k[A]

3) rate = k[A]²

4) rate = k[A+B]

90 / 130

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

1) Metaphor

2) Hyperbole

3) Irony

4) Simile

91 / 130

91. The oxidizing agent among these is

1) CH₃CH₂OH

2) KMnO₄ (acidic medium)

3) NaBH₄

4) NH₃

92 / 130

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

1) 264.6 J

2) 54.0 J

3) 88.2 J

4) 529.2 J

93 / 130

93. Value of 0! is

1) Undefined

2) Infinity

3) 1

4) 0

94 / 130

94. Refractive index n of a medium is defined as

1) v/c

2) λ/ν

3) ν/λ

4) c/v

95 / 130

95. ∫ (1/x) dx equals

1) 1/x + C

2) x + C

3) e^x + C

4) ln|x| + C

96 / 130

96. 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) 11.00 m/s²

4) 1.67 m/s²

97 / 130

97. 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) 6.00 m/s²

3) 14.00 m/s²

4) 18.00 m/s²

98 / 130

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

1) 8

2) 10

3) 12

4) 15

99 / 130

99. Which compound exhibits optical isomerism?

1) CH₃CH₂OH

2) CH₃CH₂CH₂CH₃

3) CH₃CH(OH)CH₂CH₃

4) CH₂=CH₂

100 / 130

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

1) epitaph

2) anecdote

3) epicure

4) extempore

101 / 130

101. 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

102 / 130

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

1) -104

2) -96

3) 16

4) -112

103 / 130

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

1) Z

2) A

3) C

4) B

104 / 130

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

1) CUT

2) READ

3) DRAW

4) SING

105 / 130

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

1) 27

2) 48

3) 24

4) 96

106 / 130

106. The sum of angles of a triangle is

1) 360°

2) 270°

3) 90°

4) 180°

107 / 130

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

1) 114000.0 m

2) 0.789 m

3) 2.533 m

4) 1.267 m

108 / 130

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

1) dimensionless

2) mol L⁻¹ s⁻¹

3) s⁻¹

4) L mol⁻¹ s⁻¹

109 / 130

109. Value of log₁₀(10^11) is

1) 100000000000

2) 10

3) 11

4) 1/11

110 / 130

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

1) 5.88e+04 N/C

2) 5.88e+05 N/C

3) 2.06e+05 N/C

4) 2.52e+04 N/C

111 / 130

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

1) 0.29 V

2) 84.0 V

3) 42.0 V

4) 15.5 V

112 / 130

112. A buffer can be prepared by mixing

1) HNO₃ and KNO₃

2) CH₃COOH and CH₃COONa

3) HCl and NaCl

4) NaOH and NaCl

113 / 130

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

1) 60

2) 48

3) 66

4) 54

114 / 130

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

1) 120

2) 3628800

3) 720

4) 1000

115 / 130

115. If z = 3 − 4i, then |z| equals

1) 7

2) 5

3) √7

4) 1

116 / 130

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

1) 83

2) 81

3) 80

4) 100

117 / 130

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

1) 3.63e+02 J

2) 3.30e+01 J

3) 3.63e-04 J

4) 1.81e-04 J

118 / 130

118. If a matrix is 2×3, it has

1) 3 rows and 3 columns

2) 3 rows and 2 columns

3) 2 rows and 3 columns

4) 2 columns and 2 rows

119 / 130

119. 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) 0.20 V

2) 3.71 V

3) 1560.00 V

4) 59.28 V

120 / 130

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

1) Kc must be negative

2) Equilibrium lies far to the right

3) Reaction does not occur

4) Equilibrium lies far to the left

121 / 130

121. 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

122 / 130

122. A strong electrolyte in water is

1) NaCl

2) Urea

3) Sucrose

4) Glucose

123 / 130

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

1) 4.00

2) 2.35

3) 7.00

4) 1.00

124 / 130

124. Choose the synonym of ‘abate’:

1) provoke

2) increase

3) inflate

4) reduce

125 / 130

125. Which oxide is acidic?

1) Na₂O

2) MgO

3) CaO

4) SO₃

126 / 130

126. Simplify: (x^7)·(x^3) equals

1) x^4

2) x^21

3) x^10

4) x^2.3333333333333335

127 / 130

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

1) ensure

2) enclose

3) assure

4) insure

128 / 130

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

1) 4

2) 8

3) 6

4) 2

129 / 130

129. Simplify: (x^8)·(x^4) equals

1) x^4

2) x^2.0

3) x^32

4) x^12

130 / 130

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

1) Father

2) Uncle

3) Brother

4) Sister

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