BITSAT TYPE 5 - Start Exam

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BITSAT TYPE 5

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1 / 130

1. A 4.5 kg object has speed 12 m/s. Its kinetic energy is

1) 54.00 J

2) Option 4

3) 648.00 J

4) 324.00 J

2 / 130

2. If tanθ = 1, then one acute value of θ is

1) 30°

2) 60°

3) 45°

4) 90°

3 / 130

3. One-word substitution: ‘A person who walks in sleep’ is

1) omnivore

2) connoisseur

3) somnambulist

4) sycophant

4 / 130

4. A ray passing through the optical centre of a thin lens emerges

1) Always converges to focus

2) Always refracted by 90°

3) Undeviated

4) Always diverges

5 / 130

5. If a line is y = 0, it is the

1) x-axis

2) line x=0

3) line y=x

4) y-axis

6 / 130

6. The major product when propene reacts with HBr in presence of peroxide is

1) 1,2-Dibromopropane

2) 1-Bromopropane

3) Propane

4) 2-Bromopropane

7 / 130

7. Choose the antonym of ‘benevolent’:

1) helpful

2) malevolent

3) generous

4) kind

8 / 130

8. If 15 is to 225 as 14 is to ?

1) 224

2) 169

3) 196

4) 210

9 / 130

9. A 2.5 kg object has speed 6 m/s. Its kinetic energy is

1) 45.00 J

2) 90.00 J

3) 15.00 J

4) Option 4

10 / 130

10. Identify the figure of speech: ‘The wind whispered through the trees.’

1) Oxymoron

2) Simile

3) Metaphor

4) Personification

11 / 130

11. Pointing to a photograph, Rohan said: ‘She is the daughter of my grandmother’s only son.’ The person in photograph is Rohan’s

1) Aunt

2) Sister

3) Cousin

4) Mother

12 / 130

12. Complete the series: 2, 6, 12, 20, 30, ?

1) 44

2) 40

3) 36

4) 42

13 / 130

13. Equivalent resistance when 10 Ω and 7 Ω are connected in parallel is

1) 7 Ω

2) 17 Ω

3) 70/17 Ω

4) 70 Ω

14 / 130

14. A 1.2 kg mass attached to a spring (k=255 N/m) executes SHM. Time period is

1) 91.592 s

2) 0.216 s

3) 0.862 s

4) 0.431 s

15 / 130

15. The oxidation state of sulfur in H₂SO₄ is

1) +4

2) +2

3) −2

4) +6

16 / 130

16. A particle speeds up from 5 m/s to 25 m/s over 40 m with uniform acceleration. Acceleration equals

1) 0.500 m/s²

2) 7.500 m/s²

3) -7.500 m/s²

4) 8.125 m/s²

17 / 130

17. Two capacitors of 11 μF and 5 μF are connected in parallel. Equivalent capacitance is

1) 16 μF

2) 11 μF

3) 55 μF

4) 55/16 μF

18 / 130

18. The smaller angle between clock hands at 8:50 is

1) 35.0°

2) 300.0°

3) 325.0°

4) 240.0°

19 / 130

19. Number of combinations C(9,4) is

1) 362880

2) 3024

3) 6561

4) 126

20 / 130

20. The IUPAC name of (CH₃)₂CHCH₂OH is

1) Butan-1-ol

2) 2-Methylpropan-2-ol

3) 2-Methylpropan-1-ol

4) Propan-1-ol

21 / 130

21. If ‘CHAIR’ is coded as ‘DIBJS’ (each letter +1), then ‘TABLE’ is coded as

1) UADMF

2) UBCME

3) UBCMF

4) TBBMF

22 / 130

22. Which reagent converts an aldehyde to a primary alcohol?

1) NaBH₄

2) Conc. H₂SO₄

3) Fehling’s solution

4) Tollens’ reagent

23 / 130

23. If A and B are independent events, then P(A∩B) equals

1) 1

2) 0

3) P(A)P(B)

4) P(A)+P(B)

24 / 130

24. Value of i^6 is

1) −i

2) i

3) 1

4) −1

25 / 130

25. Find the missing number: 1, 4, 10, 22, 46, ?

1) 90

2) 96

3) 94

4) 92

26 / 130

26. Choose the correct preposition: This is in accordance ____ the policy.

1) for

2) on

3) with

4) to

27 / 130

27. The value of cos 90° is

1) 0

2) −1

3) 1/2

4) 1

28 / 130

28. If A and B are mutually exclusive events, then P(A∪B) equals

1) P(A)+P(B)

2) 1

3) P(A)P(B)

4) 0

29 / 130

29. A body moves with constant speed 18 m/s for 6 s. Displacement is

1) 54 m

2) 24 m

3) 3.00 m

4) 108 m

30 / 130

30. Distance between points (4,0) and (0,8) is

1) 4.000

2) 80.000

3) 12.000

4) 8.944

31 / 130

31. A point on a rotating disc at radius 0.9 m completes one rotation in 1.9 s. Its linear speed is

1) 2.976 m/s

2) 3.307 m/s

3) 0.474 m/s

4) 10.744 m/s

32 / 130

32. Analogy: Bird : Flock :: Fish : ?

1) Herd

2) Shoal

3) Pack

4) Swarm

33 / 130

33. If f(x)=x^4, then f′(x) is

1) x⁴

2) x³

3) 4x³

4) 4x²

34 / 130

34. The number of atoms per unit cell in FCC is

1) 2

2) 4

3) 6

4) 8

35 / 130

35. Which is a colligative property?

1) Refractive index

2) Viscosity

3) Surface tension

4) Osmotic pressure

36 / 130

36. The potential energy stored in a stretched spring is proportional to

1) Square root of extension

2) Square of extension

3) 1/Extension

4) Extension

37 / 130

37. If (a−b)^2 expands to

1) a² + 2ab + b²

2) a² − b²

3) 2a − 2b

4) a² − 2ab + b²

38 / 130

38. A compound that decolorizes bromine water is typically

1) A ketone

2) An alkene

3) An alcohol

4) An alkane

39 / 130

39. How many letters are there between H and T in the English alphabet?

1) 12

2) 10

3) 11

4) 9

40 / 130

40. In a galvanic cell, electrons flow from

1) Cathode to anode

2) Salt bridge to electrodes

3) Anode to cathode through external circuit

4) Electrolyte to anode only

41 / 130

41. Simplify: (x^5)/(x^2) equals

1) x^3

2) x^(2x)

3) x^-3

4) x^7

42 / 130

42. Find the value of (a+b) if a=5 and b=7.

1) 12

2) 35

3) 24

4) -2

43 / 130

43. Fill the blank: Hardly had I arrived ____ it began to rain.

1) than

2) then

3) when

4) so

44 / 130

44. sin(15°) is

1) Always negative

2) Always positive

3) Positive

4) Zero

45 / 130

45. A body in uniform circular motion has

1) Constant speed but changing velocity

2) Constant velocity

3) Zero momentum

4) Zero acceleration

46 / 130

46. If 4x−5=19, then x equals

1) 5

2) 4

3) 7

4) 6

47 / 130

47. The sum of roots of x² + px + q = 0 is

1) −q

2) p

3) q

4) −p

48 / 130

48. For quadratic 3x² + 3x + 1, the discriminant is

1) 12

2) 9

3) 21

4) -3

49 / 130

49. A matrix A is invertible if det(A) is

1) Zero

2) Negative only

3) Non-zero

4) Positive only

50 / 130

50. Next term: AB, BCD, CDEFG, DEFGHIJK, ?

1) EFGHIJKLMNO

2) FGHIJKLMNO

3) EFGHIJKLMN

4) EFGHIJKL

51 / 130

51. For a conductor, resistance R is proportional to

1) 1/(Length × Area)

2) Length / Area

3) Area / Length

4) Length × Area

52 / 130

52. If 5 people can paint 5 walls in 5 days, how many days will 10 people take to paint 10 walls?

1) 5

2) 10

3) 2.5

4) 1

53 / 130

53. Approximate energy of a photon of wavelength 650 nm is

1) 650.0 eV

2) 3.815 eV

3) 0.954 eV

4) 1.908 eV

54 / 130

54. The correct formula for bleaching powder is best represented as

1) Ca(OH)₂

2) CaCl₂

3) CaO₂

4) CaOCl₂

55 / 130

55. Among A, B, C, D: A is older than B, C is older than A, D is younger than B. Who is oldest?

1) A

2) B

3) C

4) D

56 / 130

56. Electric field due to a point charge 4 μC at distance 0.45 m is

1) 8.00e+04 N/C

2) 1.78e+05 N/C

3) 1.78e+03 N/C

4) 1.62e+04 N/C

57 / 130

57. A current of 2.8 A flows through a 7 Ω resistor. Potential difference is

1) 39.20 V

2) 2.50 V

3) 19.60 V

4) 0.40 V

58 / 130

58. Choose the synonym of ‘prudent’:

1) hasty

2) wise

3) careless

4) reckless

59 / 130

59. The number of σ bonds in benzene (C₆H₆) is

1) 9

2) 6

3) 12

4) 15

60 / 130

60. In Young’s double slit experiment, fringe width is directly proportional to

1) Slit separation

2) Wavelength

3) 1/Screen distance

4) (Slit separation)^2

61 / 130

61. If an AP has a₁=10 and d=−2, then a₆ equals

1) 2

2) 0

3) 8

4) −2

62 / 130

62. A wave travels at 350 m/s and has frequency 620 Hz. Its wavelength is

1) 5.6452 m

2) 1.7714 m

3) 0.5645 m

4) 217000.0 m

63 / 130

63. If two vectors are parallel, their cross product magnitude is

1) 0

2) Maximum

3) Negative

4) 1

64 / 130

64. Choose the correct word: He tried to ____ the situation.

1) ameliorite

2) ameliarate

3) amelorate

4) ameliorate

65 / 130

65. The derivative of sin x is

1) −sin x

2) −cos x

3) sin x

4) cos x

66 / 130

66. Equation of circle centered at (a,b) with radius r is

1) (x+a)² + (y+b)² = r²

2) (x−a) + (y−b) = r

3) x² + y² = r²

4) (x−a)² + (y−b)² = r²

67 / 130

67. If x:y = 3:5 and x+y=48, then y is

1) 24

2) 18

3) 33

4) 30

68 / 130

68. The polymerization of ethene produces

1) Teflon

2) Polyethylene

3) PVC

4) Bakelite

69 / 130

69. Which pair forms a buffer solution?

1) NH₄Cl and NH₄OH

2) HNO₃ and KNO₃

3) HCl and NaCl

4) NaOH and NaCl

70 / 130

70. In the reaction N₂ + 3H₂ ⇌ 2NH₃, increasing pressure shifts equilibrium

1) To the right

2) No change

3) To the left

4) Stops reaction

71 / 130

71. A device of power 240 W operates for 14 s. Energy consumed is

1) 254 J

2) 3360 J

3) 17.14 J

4) 1680 J

72 / 130

72. The value of (1−x)^2 is

1) 1 + 2x + x²

2) 1 + x²

3) 1 − x²

4) 1 − 2x + x²

73 / 130

73. An example of a strong electrolyte is

1) KNO₃

2) Sucrose

3) Urea

4) Glucose

74 / 130

74. Number of diagonals in a polygon with 14 sides is

1) 70

2) 84

3) 77

4) 91

75 / 130

75. The hybridization of nitrogen in NH₃ is

1) sp

2) sp³

3) dsp²

4) sp²

76 / 130

76. Evaluate: (−8)^4.

1) Option 4

2) -512

3) -32768

4) 4096

77 / 130

77. If A⊆B, then A∩B equals

1) A

2) B

3) ∅

4) A∪B

78 / 130

78. Statement: Some artists are writers. Conclusion: Some writers are artists. This is

1) Definitely true

2) Cannot be determined

3) Both true and false

4) Definitely false

79 / 130

79. Choose the synonym of ‘arduous’:

1) easy

2) pleasant

3) simple

4) difficult

80 / 130

80. If the mean of 8 numbers is 15, then their sum is

1) 23

2) 100

3) 120

4) 15

81 / 130

81. Momentum of a 4.5 kg body moving at 24 m/s is

1) 108.0 kg·m/s

2) 54.0 kg·m/s

3) 2592.0 kg·m/s

4) 28.5 kg·m/s

82 / 130

82. ∫ cos x dx equals

1) sin x + C

2) −sin x + C

3) −cos x + C

4) cos x + C

83 / 130

83. The oxidation state of Cl in HClO₃ is

1) −1

2) +5

3) +3

4) +7

84 / 130

84. If sinθ=0 (0≤θ≤2π), then θ can be

1) 0, π, or 2π

2) π/2

3) Only π

4) π/4

85 / 130

85. Number of real solutions of x^2 − 4x + 4 = 0 is

1) Infinite

2) 0

3) 2

4) 1

86 / 130

86. Which is an aromatic compound?

1) Ethanol

2) Propene

3) Cyclohexane

4) Aniline

87 / 130

87. Sum of first 10 odd natural numbers equals

1) 90

2) 100

3) 200

4) 55

88 / 130

88. If |x| = 9, then x can be

1) 9 only

2) −9 only

3) 0

4) 9 or −9

89 / 130

89. Which statement about catalysts is correct?

1) They increase ΔH

2) They are consumed completely

3) They lower activation energy

4) They change equilibrium constant

90 / 130

90. The van’t Hoff factor i is maximum for

1) CH₃COOH

2) Al₂(SO₄)₃ (complete dissociation)

3) NaCl

4) Glucose

91 / 130

91. Probability of getting a number greater than 4 on a fair die is

1) 1/6

2) 2/3

3) 1/2

4) 1/3

92 / 130

92. A sample of mass 12 g has molar mass 16.0 g/mol. Number of moles is

1) 0.7500 mol

2) 0.0750 mol

3) 1.3333 mol

4) 7.5000 mol

93 / 130

93. Which of the following is NOT a transition element?

1) Fe

2) Cu

3) Ni

4) Zn

94 / 130

94. Analogy: Key : Lock :: Password : ?

1) Window

2) Account

3) Door

4) Car

95 / 130

95. The geometry of SF₆ is

1) Octahedral

2) Square planar

3) Trigonal bipyramidal

4) Tetrahedral

96 / 130

96. The SI unit of electric charge is

1) Volt

2) Ohm

3) Coulomb

4) Ampere

97 / 130

97. If yesterday was Friday, what day will it be after 3 days?

1) Monday

2) Tuesday

3) Sunday

4) Wednesday

98 / 130

98. Syllogism: All laptops are devices. Some devices are expensive. Conclusion: Some laptops are expensive. This is

1) Definitely true

2) Cannot be concluded

3) Both true and false

4) Definitely false

99 / 130

99. The sum of angles in a pentagon is

1) 180°

2) 540°

3) 360°

4) 720°

100 / 130

100. A particle speeds up from 5 m/s to 37 m/s over 60 m with uniform acceleration. Acceleration equals

1) 11.617 m/s²

2) -11.200 m/s²

3) 0.533 m/s²

4) 11.200 m/s²

101 / 130

101. Odd one out: Iron, Copper, Silver, Sulfur

1) Sulfur

2) Iron

3) Copper

4) Silver

102 / 130

102. Cloze: He is ____ honest to cheat anyone.

1) so

2) much

3) very

4) too

103 / 130

103. A person goes 9 m North, then 9 m East, then 7 m South. How far from start?

1) 25.00 m

2) 11.00 m

3) 2.00 m

4) 9.22 m

104 / 130

104. For a plane electromagnetic wave in vacuum, the ratio E/B equals

1) c

2) 1/c

3) ε0

4) μ0

105 / 130

105. Momentum of a 1.5 kg body moving at 8 m/s is

1) 96.0 kg·m/s

2) 12.0 kg·m/s

3) 9.5 kg·m/s

4) 6.0 kg·m/s

106 / 130

106. A 8 Ω resistance is connected to 31 V. Current drawn is

1) 248.0 A

2) 0.258 A

3) 31.000 A

4) 3.875 A

107 / 130

107. If log₁₀(2) ≈ 0.3010, then log₁₀(200) ≈

1) 0.3010

2) 1.3010

3) 3.3010

4) 2.3010

108 / 130

108. A coil of 240 turns and area 0.033 m² experiences a change in magnetic field of 0.80 T in 0.14 s. Induced emf is

1) 0.19 V

2) 1371.43 V

3) 0.89 V

4) 45.26 V

109 / 130

109. Choose the antonym of ‘obscure’:

1) uncertain

2) vague

3) hidden

4) clear

110 / 130

110. The dimensional formula of pressure is

1) ML²T⁻¹

2) MLT⁻²

3) ML⁻¹T⁻²

4) M⁰L⁻¹T⁻²

111 / 130

111. The shape of CO₂ molecule is

1) Tetrahedral

2) Trigonal planar

3) Bent

4) Linear

112 / 130

112. In an isolated system, total linear momentum remains constant due to

1) Newton’s third law

2) Pascal’s law

3) Archimedes’ principle

4) Newton’s first law only

113 / 130

113. If z = 2 − i, then z̄ is

1) −2 + i

2) 2 − i

3) 2 + i

4) −2 − i

114 / 130

114. In an SN1 reaction, the rate depends on

1) Concentration of nucleophile only

2) Temperature only

3) Both substrate and nucleophile

4) Concentration of substrate only

115 / 130

115. If θ = 30°, then sin 2θ equals

1) √3

2) 0

3) 1/2

4) √3/2

116 / 130

116. Volume of a sphere of radius 9 (in terms of π) is

1) 972π

2) 324π

3) 729π

4) Option 4

117 / 130

117. If common ratio r of a GP is 0, then from second term onward terms are

1) 1

2) Undefined

3) Same as first term

4) 0

118 / 130

118. The rate constant of a first-order reaction has unit

1) s⁻¹

2) L mol⁻¹ s⁻¹

3) mol L⁻¹ s⁻¹

4) dimensionless

119 / 130

119. A device of power 120 W operates for 6 s. Energy consumed is

1) 20.00 J

2) 360 J

3) 126 J

4) 720 J

120 / 130

120. Median of an ordered list with even number of observations is

1) Middle value

2) Smallest value

3) Average of two middle values

4) Largest value

121 / 130

121. Odd one out: 121, 144, 169, 196, 225

1) 144

2) 169

3) 121

4) 196

122 / 130

122. If ‘PAPER’ is coded as ‘QBQFS’ (+1 each), then ‘PENCIL’ is coded as

1) QFODJM

2) QFODIM

3) QFNDJM

4) QFNCJM

123 / 130

123. Which is the correct order of bond length?

1) Triple > Double > Single

2) Double > Single > Triple

3) All equal

4) Single > Double > Triple

124 / 130

124. Which compound is an example of an ester?

1) CH₃CH₂OH

2) CH₃COOCH₃

3) CH₃COOH

4) CH₃CHO

125 / 130

125. A transformer cannot work with DC because DC produces

1) Too much flux

2) No changing magnetic flux

3) Infinite current always

4) Zero resistance

126 / 130

126. Which set represents quantum numbers (n, l, m) that is NOT allowed?

1) n=3, l=3, m=0

2) n=2, l=1, m=0

3) n=4, l=0, m=0

4) n=3, l=2, m=−2

127 / 130

127. If 2→6, 3→12, 4→20 (pattern n(n+1)), then 5→?

1) 25

2) 40

3) 30

4) 35

128 / 130

128. If frequency of a wave increases (speed constant), its wavelength

1) Remains same

2) Becomes infinite

3) Increases

4) Decreases

129 / 130

129. The pH of 1×10⁻³ M HCl is approximately

1) 1

2) 7

3) 3

4) 11

130 / 130

130. The oxidation number of chromium in K₂Cr₂O₇ is

1) +2

2) +7

3) +6

4) +3

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