BITSAT TYPE 5 – Start Exam

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BITSAT TYPE 5

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1 / 130

1. If sinθ=0 (0≤θ≤2π), then θ can be

1) π/2

2) Only π

3) π/4

4) 0, π, or 2π

2 / 130

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

1) Smallest value

2) Average of two middle values

3) Largest value

4) Middle value

3 / 130

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

1) Maximum

2) Negative

3) 0

4) 1

4 / 130

4. If z = 2 − i, then z̄ is

1) −2 − i

2) 2 + i

3) 2 − i

4) −2 + i

5 / 130

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

1) 196

2) 169

3) 121

4) 144

6 / 130

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

1) 1/c

2) μ0

3) c

4) ε0

7 / 130

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

1) so

2) too

3) very

4) much

8 / 130

8. The sum of angles in a pentagon is

1) 540°

2) 180°

3) 360°

4) 720°

9 / 130

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

1) No change

2) To the right

3) To the left

4) Stops reaction

10 / 130

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

1) 94

2) 92

3) 96

4) 90

11 / 130

11. If f(x)=x^4, then f′(x) is

1) 4x²

2) 4x³

3) x³

4) x⁴

12 / 130

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

1) 8

2) 2

3) 0

4) −2

13 / 130

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

1) UBCME

2) UADMF

3) UBCMF

4) TBBMF

14 / 130

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

1) Copper

2) Silver

3) Sulfur

4) Iron

15 / 130

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

1) Pascal’s law

2) Newton’s first law only

3) Newton’s third law

4) Archimedes’ principle

16 / 130

16. If A⊆B, then A∩B equals

1) ∅

2) B

3) A

4) A∪B

17 / 130

17. A compound that decolorizes bromine water is typically

1) An alkene

2) A ketone

3) An alkane

4) An alcohol

18 / 130

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

1) 28.5 kg·m/s

2) 2592.0 kg·m/s

3) 54.0 kg·m/s

4) 108.0 kg·m/s

19 / 130

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

1) 7.5000 mol

2) 0.7500 mol

3) 0.0750 mol

4) 1.3333 mol

20 / 130

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

1) 1

2) 2

3) 0

4) Infinite

21 / 130

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

1) 2

2) 6

3) 4

4) 8

22 / 130

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

1) x^-3

2) x^3

3) x^(2x)

4) x^7

23 / 130

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

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

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

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

4) n=3, l=2, m=−2

24 / 130

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

1) so

2) then

3) when

4) than

25 / 130

25. Which statement about catalysts is correct?

1) They are consumed completely

2) They increase ΔH

3) They change equilibrium constant

4) They lower activation energy

26 / 130

26. The shape of CO₂ molecule is

1) Trigonal planar

2) Bent

3) Linear

4) Tetrahedral

27 / 130

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

1) 17 Ω

2) 7 Ω

3) 70 Ω

4) 70/17 Ω

28 / 130

28. The SI unit of electric charge is

1) Volt

2) Coulomb

3) Ampere

4) Ohm

29 / 130

29. sin(15°) is

1) Always negative

2) Positive

3) Zero

4) Always positive

30 / 130

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

1) line x=0

2) line y=x

3) x-axis

4) y-axis

31 / 130

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

1) 10

2) 2.5

3) 5

4) 1

32 / 130

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

1) Undefined

2) 0

3) Same as first term

4) 1

33 / 130

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

1) 0.5645 m

2) 1.7714 m

3) 217000.0 m

4) 5.6452 m

34 / 130

34. Choose the synonym of ‘arduous’:

1) pleasant

2) easy

3) difficult

4) simple

35 / 130

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

1) -11.200 m/s²

2) 0.533 m/s²

3) 11.617 m/s²

4) 11.200 m/s²

36 / 130

36. An example of a strong electrolyte is

1) Sucrose

2) Urea

3) Glucose

4) KNO₃

37 / 130

37. Choose the synonym of ‘prudent’:

1) hasty

2) reckless

3) careless

4) wise

38 / 130

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

1) amelorate

2) ameliarate

3) ameliorite

4) ameliorate

39 / 130

39. Analogy: Bird : Flock :: Fish : ?

1) Herd

2) Pack

3) Swarm

4) Shoal

40 / 130

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

1) 1/2

2) 1/6

3) 1/3

4) 2/3

41 / 130

41. If θ = 30°, then sin 2θ equals

1) 1/2

2) √3/2

3) √3

4) 0

42 / 130

42. Sum of first 10 odd natural numbers equals

1) 55

2) 200

3) 100

4) 90

43 / 130

43. 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) 0.89 V

3) 1371.43 V

4) 45.26 V

44 / 130

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

1) 80.000

2) 4.000

3) 12.000

4) 8.944

45 / 130

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

1) Sister

2) Aunt

3) Cousin

4) Mother

46 / 130

46. If 4x−5=19, then x equals

1) 4

2) 7

3) 5

4) 6

47 / 130

47. For a conductor, resistance R is proportional to

1) Length / Area

2) 1/(Length × Area)

3) Length × Area

4) Area / Length

48 / 130

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

1) Zn

2) Ni

3) Cu

4) Fe

49 / 130

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

1) P(A)+P(B)

2) 1

3) 0

4) P(A)P(B)

50 / 130

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

1) 12

2) 24

3) -2

4) 35

51 / 130

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

1) 362880

2) 3024

3) 126

4) 6561

52 / 130

52. The value of (1−x)^2 is

1) 1 + 2x + x²

2) 1 + x²

3) 1 − 2x + x²

4) 1 − x²

53 / 130

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

1) 42

2) 40

3) 36

4) 44

54 / 130

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

1) 3360 J

2) 17.14 J

3) 254 J

4) 1680 J

55 / 130

55. In an SN1 reaction, the rate depends on

1) Concentration of nucleophile only

2) Concentration of substrate only

3) Both substrate and nucleophile

4) Temperature only

56 / 130

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

1) 10

2) 9

3) 11

4) 12

57 / 130

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

1) 0.954 eV

2) 3.815 eV

3) 650.0 eV

4) 1.908 eV

58 / 130

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

1) 2.3010

2) 3.3010

3) 0.3010

4) 1.3010

59 / 130

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

1) 324.00 J

2) 54.00 J

3) Option 4

4) 648.00 J

60 / 130

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

1) 7

2) 11

3) 3

4) 1

61 / 130

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

1) 11 μF

2) 16 μF

3) 55 μF

4) 55/16 μF

62 / 130

62. Which pair forms a buffer solution?

1) HNO₃ and KNO₃

2) NH₄Cl and NH₄OH

3) HCl and NaCl

4) NaOH and NaCl

63 / 130

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

1) sycophant

2) somnambulist

3) connoisseur

4) omnivore

64 / 130

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

1) Square of extension

2) Extension

3) 1/Extension

4) Square root of extension

65 / 130

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

1) for

2) to

3) on

4) with

66 / 130

66. Which is a colligative property?

1) Viscosity

2) Surface tension

3) Refractive index

4) Osmotic pressure

67 / 130

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

1) Propan-1-ol

2) 2-Methylpropan-2-ol

3) Butan-1-ol

4) 2-Methylpropan-1-ol

68 / 130

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

1) Al₂(SO₄)₃ (complete dissociation)

2) Glucose

3) CH₃COOH

4) NaCl

69 / 130

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

1) 12

2) 6

3) 9

4) 15

70 / 130

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

1) 21

2) -3

3) 9

4) 12

71 / 130

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

1) 300.0°

2) 325.0°

3) 240.0°

4) 35.0°

72 / 130

72. In a galvanic cell, electrons flow from

1) Salt bridge to electrodes

2) Cathode to anode

3) Anode to cathode through external circuit

4) Electrolyte to anode only

73 / 130

73. Evaluate: (−8)^4.

1) -512

2) -32768

3) Option 4

4) 4096

74 / 130

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

1) B

2) D

3) A

4) C

75 / 130

75. Which is an aromatic compound?

1) Cyclohexane

2) Propene

3) Aniline

4) Ethanol

76 / 130

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

1) 0.40 V

2) 19.60 V

3) 2.50 V

4) 39.20 V

77 / 130

77. ∫ cos x dx equals

1) cos x + C

2) −sin x + C

3) −cos x + C

4) sin x + C

78 / 130

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

1) 10.744 m/s

2) 3.307 m/s

3) 0.474 m/s

4) 2.976 m/s

79 / 130

79. Choose the antonym of ‘benevolent’:

1) generous

2) kind

3) malevolent

4) helpful

80 / 130

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

1) 1-Bromopropane

2) 1,2-Dibromopropane

3) 2-Bromopropane

4) Propane

81 / 130

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

1) Cannot be determined

2) Both true and false

3) Definitely true

4) Definitely false

82 / 130

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

1) 9.5 kg·m/s

2) 6.0 kg·m/s

3) 12.0 kg·m/s

4) 96.0 kg·m/s

83 / 130

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

1) P(A)P(B)

2) P(A)+P(B)

3) 0

4) 1

84 / 130

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

1) 720 J

2) 360 J

3) 126 J

4) 20.00 J

85 / 130

85. Choose the antonym of ‘obscure’:

1) uncertain

2) hidden

3) vague

4) clear

86 / 130

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

1) s⁻¹

2) mol L⁻¹ s⁻¹

3) L mol⁻¹ s⁻¹

4) dimensionless

87 / 130

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

1) Sunday

2) Monday

3) Tuesday

4) Wednesday

88 / 130

88. The value of cos 90° is

1) 1/2

2) 1

3) −1

4) 0

89 / 130

89. The polymerization of ethene produces

1) Polyethylene

2) Teflon

3) PVC

4) Bakelite

90 / 130

90. A transformer cannot work with DC because DC produces

1) Infinite current always

2) Zero resistance

3) Too much flux

4) No changing magnetic flux

91 / 130

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

1) 8.125 m/s²

2) 0.500 m/s²

3) -7.500 m/s²

4) 7.500 m/s²

92 / 130

92. The oxidation number of chromium in K₂Cr₂O₇ is

1) +2

2) +3

3) +7

4) +6

93 / 130

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

1) 9.22 m

2) 25.00 m

3) 2.00 m

4) 11.00 m

94 / 130

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

1) 84

2) 77

3) 70

4) 91

95 / 130

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

1) Wavelength

2) 1/Screen distance

3) (Slit separation)^2

4) Slit separation

96 / 130

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

1) Option 4

2) 324π

3) 729π

4) 972π

97 / 130

97. Which is the correct order of bond length?

1) All equal

2) Double > Single > Triple

3) Triple > Double > Single

4) Single > Double > Triple

98 / 130

98. Which compound is an example of an ester?

1) CH₃COOCH₃

2) CH₃CHO

3) CH₃CH₂OH

4) CH₃COOH

99 / 130

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

1) p

2) −q

3) q

4) −p

100 / 130

100. Analogy: Key : Lock :: Password : ?

1) Window

2) Door

3) Account

4) Car

101 / 130

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

1) Undeviated

2) Always refracted by 90°

3) Always converges to focus

4) Always diverges

102 / 130

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

1) QFODIM

2) QFODJM

3) QFNCJM

4) QFNDJM

103 / 130

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

1) Zero

2) Negative only

3) Non-zero

4) Positive only

104 / 130

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

1) 45.00 J

2) 15.00 J

3) Option 4

4) 90.00 J

105 / 130

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

1) 24

2) 33

3) 18

4) 30

106 / 130

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

1) 210

2) 224

3) 196

4) 169

107 / 130

107. Value of i^6 is

1) −1

2) i

3) −i

4) 1

108 / 130

108. A body in uniform circular motion has

1) Constant speed but changing velocity

2) Zero acceleration

3) Constant velocity

4) Zero momentum

109 / 130

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

1) Cannot be concluded

2) Definitely false

3) Both true and false

4) Definitely true

110 / 130

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

1) Conc. H₂SO₄

2) NaBH₄

3) Fehling’s solution

4) Tollens’ reagent

111 / 130

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

1) 30°

2) 60°

3) 45°

4) 90°

112 / 130

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

1) Decreases

2) Increases

3) Becomes infinite

4) Remains same

113 / 130

113. The oxidation state of Cl in HClO₃ is

1) −1

2) +5

3) +7

4) +3

114 / 130

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

1) CaOCl₂

2) Ca(OH)₂

3) CaCl₂

4) CaO₂

115 / 130

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

1) 9 only

2) −9 only

3) 0

4) 9 or −9

116 / 130

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

1) Simile

2) Personification

3) Metaphor

4) Oxymoron

117 / 130

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

1) (x+a)² + (y+b)² = r²

2) (x−a)² + (y−b)² = r²

3) (x−a) + (y−b) = r

4) x² + y² = r²

118 / 130

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

1) 91.592 s

2) 0.862 s

3) 0.431 s

4) 0.216 s

119 / 130

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

1) EFGHIJKLMN

2) EFGHIJKLMNO

3) EFGHIJKL

4) FGHIJKLMNO

120 / 130

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

1) 3.875 A

2) 248.0 A

3) 0.258 A

4) 31.000 A

121 / 130

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

1) 3.00 m

2) 24 m

3) 54 m

4) 108 m

122 / 130

122. If (a−b)^2 expands to

1) a² − b²

2) 2a − 2b

3) a² + 2ab + b²

4) a² − 2ab + b²

123 / 130

123. The derivative of sin x is

1) cos x

2) −sin x

3) sin x

4) −cos x

124 / 130

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

1) 30

2) 40

3) 25

4) 35

125 / 130

125. The geometry of SF₆ is

1) Tetrahedral

2) Octahedral

3) Square planar

4) Trigonal bipyramidal

126 / 130

126. The hybridization of nitrogen in NH₃ is

1) sp

2) sp²

3) sp³

4) dsp²

127 / 130

127. The dimensional formula of pressure is

1) ML⁻¹T⁻²

2) M⁰L⁻¹T⁻²

3) MLT⁻²

4) ML²T⁻¹

128 / 130

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

1) 100

2) 23

3) 15

4) 120

129 / 130

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

1) 8.00e+04 N/C

2) 1.62e+04 N/C

3) 1.78e+05 N/C

4) 1.78e+03 N/C

130 / 130

130. The oxidation state of sulfur in H₂SO₄ is

1) +4

2) +2

3) −2

4) +6

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