BITSAT TYPE 4 – Start Exam

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BITSAT TYPE 4

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1 / 130

1. The modulus |3−4i| equals

1) √7

2) 5

3) 1

4) 7

2 / 130

2. A force 70 N acts at 60° to displacement of 5 m. Work done is

1) 350.0 J

2) 303.1 J

3) 175.0 J

4) -175.0 J

3 / 130

3. Which among the following is a strong acid?

1) HClO₄

2) H₂CO₃

3) CH₃COOH

4) HF

4 / 130

4. If the roots of x^2−5x+6=0 are

1) 1 and 6

2) 2 and 3

3) 3 and 6

4) −2 and −3

5 / 130

5. Simplify (x^8)/(x^8) =

1) x^0

2) x^16

3) Option 4

4) x^64

6 / 130

6. If f(x)=2x+1, then f(5) equals

1) 9

2) 11

3) 12

4) 10

7 / 130

7. Greatest common divisor of 8 and 6 is

1) 1

2) 48

3) 14

4) 2

8 / 130

8. The phenomenon responsible for the formation of a rainbow is primarily

1) Reflection only

2) Diffraction only

3) Refraction and dispersion

4) Interference only

9 / 130

9. Work done against gravity in lifting 8 kg by 6 m (g=9.8) is

1) 470.4 J

2) Option 4

3) 48.0 J

4) 58.8 J

10 / 130

10. Which completes the analogy: Doctor : Hospital :: Teacher : ?

1) Market

2) School

3) Library

4) Office

11 / 130

11. Area of circle with radius 11 is (in terms of π)

1) 121π

2) 11π

3) 380.13

4) 22π

12 / 130

12. Complete the series: AZ, CX, EV, GT, ?

1) IS

2) IR

3) HS

4) JT

13 / 130

13. Find the missing number: 4, 9, 19, 39, ?

1) 79

2) 69

3) 81

4) 75

14 / 130

14. Value of cos 0° is

1) 0

2) 1/2

3) −1

4) 1

15 / 130

15. The dimensional formula of Planck’s constant h is

1) M⁰L⁰T⁻¹

2) MLT⁻²

3) ML²T⁻¹

4) ML²T⁻²

16 / 130

16. If a number is divisible by 9, it is divisible by

1) 3

2) 11

3) 5

4) 2

17 / 130

17. In an electrochemical cell, oxidation occurs at the

1) Salt bridge

2) Cathode

3) Anode

4) Electrolyte only

18 / 130

18. A is father of B. B is mother of C. How is A related to C?

1) Uncle

2) Father

3) Grandfather

4) Brother

19 / 130

19. If the angles of a triangle are in ratio 1:2:3, the largest angle is

1) 60°

2) 90°

3) 45°

4) 120°

20 / 130

20. The IUPAC name of CH₃COCH₃ is

1) Propanone

2) Propanal

3) Butanone

4) Ethanone

21 / 130

21. Which is an example of an intensive property?

1) Density

2) Volume

3) Mass

4) Amount of substance

22 / 130

22. The value of (−1)^{2025} is

1) 0

2) 1

3) 2025

4) −1

23 / 130

23. In a series LCR circuit at resonance, the impedance is minimum and equals

1) L

2) R

3) 0

4) C

24 / 130

24. Charge stored on a 1 μF capacitor when connected to 15 V is

1) 1.50e-06 C

2) 1.50e+01 C

3) 1.50e-04 C

4) 1.50e-05 C

25 / 130

25. Solve: 7x = 224. Value of x is

1) 16

2) 32

3) 7

4) 8

26 / 130

26. Which salt gives alkaline solution in water?

1) CH₃COONa

2) NH₄Cl

3) KNO₃

4) NaCl

27 / 130

27. A body projected vertically upward reaches maximum height when its

1) Velocity becomes zero

2) Acceleration becomes zero

3) Momentum becomes maximum

4) Kinetic energy becomes maximum

28 / 130

28. Choose the correct option: ‘Bird’ is related to ‘Nest’ as ‘Bee’ is related to

1) Kennel

2) Den

3) Hive

4) Cave

29 / 130

29. If the probability of an event is 0.2, probability that it does not occur is

1) 0.6

2) 0.8

3) 1.2

4) 0.2

30 / 130

30. Syllogism: All roses are flowers. Some flowers are white. Conclusion: Some roses are white. This is

1) Both true and false

2) Definitely true

3) Definitely false

4) Cannot be concluded

31 / 130

31. Power dissipated in a 9 Ω resistor carrying 2.2 A is

1) 0.24 W

2) 87.12 W

3) 43.56 W

4) 19.80 W

32 / 130

32. A is taller than B. B is taller than C. D is taller than A. Who is the shortest?

1) D

2) A

3) C

4) B

33 / 130

33. If a:b = 3:4 and b:c = 2:5, then a:c =

1) 3:10

2) 3:20

3) 6:10

4) 4:5

34 / 130

34. The slope of the line x = 4 is

1) Undefined

2) 4

3) 1

4) 0

35 / 130

35. If tanθ = 0, then θ can be

1) π/4

2) 0

3) π/2

4) π/3

36 / 130

36. In an ideal transformer, if the number of turns in primary is increased (keeping secondary fixed), the secondary voltage for same primary voltage

1) Increases

2) Remains always equal

3) Decreases

4) Becomes zero

37 / 130

37. The shape of PCl₅ molecule is

1) Tetrahedral

2) Octahedral

3) Trigonal bipyramidal

4) Square planar

38 / 130

38. The law stating that equal volumes of gases at same T and P contain equal number of molecules is

1) Charles’ law

2) Avogadro’s law

3) Graham’s law

4) Boyle’s law

39 / 130

39. Unit of electric power is

1) Ampere

2) Ohm

3) Volt

4) Watt

40 / 130

40. Statement: Some books are novels. Conclusion: Some novels are books. Conclusion is

1) Both true and false

2) Definitely false

3) Definitely true

4) Cannot be determined

41 / 130

41. One-word substitution: ‘A place where books are kept’ is a

1) lavatory

2) laboratory

3) library

4) librarian

42 / 130

42. Fill the blank: We must comply ____ the rules.

1) for

2) with

3) on

4) to

43 / 130

43. The polymer formed from vinyl chloride is

1) Bakelite

2) Teflon

3) Nylon-6,6

4) PVC

44 / 130

44. In simple harmonic motion, acceleration is proportional to

1) Square of displacement

2) Velocity

3) Constant for all time

4) Negative of displacement

45 / 130

45. A clock shows 3:20. The smaller angle between the hands is

1) 340.0°

2) 70.0°

3) 20.0°

4) 100.0°

46 / 130

46. The magnetic quantum number can have values from

1) −l to +l

2) 0 to +l

3) −n to +n

4) 1 to +l

47 / 130

47. If a matrix has determinant 0, it is

1) Diagonal

2) Identity

3) Orthogonal

4) Singular

48 / 130

48. If 1=5, 2=25, 3=125, then 4=?

1) 6250

2) 500

3) 256

4) 625

49 / 130

49. Which is a reducing sugar?

1) Sucrose

2) Glucose

3) Cellulose

4) Starch

50 / 130

50. Which of these is an example of a coordination compound?

1) [Co(NH₃)₆]Cl₃

2) H₂SO₄

3) CH₄

4) NaCl

51 / 130

51. The number of π bonds in benzene is

1) 0

2) 6

3) 3

4) 1

52 / 130

52. Choose the odd one out: Mercury, Venus, Earth, Moon

1) Venus

2) Earth

3) Moon

4) Mercury

53 / 130

53. Fill the blank: He is not only smart ____ also hardworking.

1) so

2) and

3) but

4) yet

54 / 130

54. Kinetic energy of a 1.4 kg body moving at 5 m/s is

1) 35.00 J

2) 7.00 J

3) 8.75 J

4) 17.50 J

55 / 130

55. Find the next term: 2, 5, 11, 23, ?

1) 35

2) 47

3) 49

4) 45

56 / 130

56. Choose the correct word: The scientist will ____ the results tomorrow.

1) annunce

2) announse

3) anounce

4) announce

57 / 130

57. The identity sin²θ + cos²θ equals

1) cos 2θ

2) 2

3) 1

4) 0

58 / 130

58. The gas evolved when zinc reacts with dilute HCl is

1) CO₂

2) H₂

3) O₂

4) Cl₂

59 / 130

59. Midpoint of (2,2) and (12,10) is

1) (10.0,8.0)

2) (2.0,10.0)

3) (7.0,6.0)

4) (12.0,2.0)

60 / 130

60. If two lines are perpendicular, product of their slopes is

1) 1

2) Undefined always

3) 0

4) −1

61 / 130

61. An ideal gas at P=1.0 atm, V=10 L, T=300 K has number of moles n (R=0.0821) approximately

1) 4.060 mol

2) 0.041 mol

3) 0.406 mol

4) 0.305 mol

62 / 130

62. Choose the synonym of ‘stern’:

1) careless

2) strict

3) lazy

4) gentle

63 / 130

63. The bond angle in H₂O is approximately

1) 104.5°

2) 90°

3) 120°

4) 180°

64 / 130

64. Cloze: The movie was ____ interesting that I watched it twice.

1) very

2) too

3) so

4) such

65 / 130

65. Choose the odd one out: 8, 27, 64, 125, 216

1) 125

2) 64

3) 27

4) 8

66 / 130

66. Current through a 6 Ω resistor connected to 20 V is

1) 0.30 A

2) 3.33 A

3) 120 A

4) 20.00 A

67 / 130

67. If logₐ b = c, then b equals

1) c^a

2) a/b

3) b^a

4) a^c

68 / 130

68. In the periodic table, electronegativity generally

1) Increases down a group

2) Increases across a period and decreases down a group

3) Decreases across a period

4) Is constant everywhere

69 / 130

69. A straight conductor of length 1.5 m carries 10 A perpendicular to a magnetic field 0.25 T. Force on it is

1) 3.75 N

2) 1.67 N

3) 0.02 N

4) 7.50 N

70 / 130

70. Which of the following is a transverse wave?

1) Compression wave in spring

2) Shock wave

3) Light in vacuum

4) Sound in air

71 / 130

71. Simple interest on ₹25 at 5% per annum for 3 years is

1) ₹375.00

2) ₹7.50

3) ₹3.75

4) ₹1.25

72 / 130

72. If A and B are complementary events, then P(A)+P(B) equals

1) P(A)P(B)

2) 1

3) 0

4) 2

73 / 130

73. Three resistors 4 Ω, 8 Ω and 8 Ω are in series. Equivalent resistance is

1) 8 Ω

2) 10.0 Ω

3) 2.67 Ω

4) 20 Ω

74 / 130

74. Number of real solutions of x^2 = 9 is

1) 0

2) 2

3) 3

4) 1

75 / 130

75. If two capacitors are connected in parallel, the equivalent capacitance is

1) Always smaller than each

2) Difference of capacitances

3) Product of capacitances

4) Sum of individual capacitances

76 / 130

76. Value of 2^3 is

1) 4

2) 8

3) 6

4) 16

77 / 130

77. Coefficient of x^2 in (1+x)^11 is

1) Option 4

2) 165

3) 55

4) 11

78 / 130

78. If 5x = 0, then x equals

1) 1

2) 0

3) 5

4) Undefined

79 / 130

79. Speed of light in a medium of refractive index n=1.7 is

1) 5.10e+08 m/s

2) 1.04e+08 m/s

3) 3.00e+08 m/s

4) 1.76e+08 m/s

80 / 130

80. Which quantity remains constant for an electron moving in a uniform magnetic field (ignoring radiation)?

1) Velocity

2) Speed

3) Momentum direction

4) Kinetic energy decreases

81 / 130

81. Identify the figure of speech: ‘I’ve told you a thousand times.’

1) Hyperbole

2) Metaphor

3) Alliteration

4) Simile

82 / 130

82. For a second order reaction, the unit of k is

1) mol L⁻¹ s⁻¹

2) L mol⁻¹ s⁻¹

3) s⁻¹

4) L² mol⁻² s⁻¹

83 / 130

83. A wave has frequency 175 Hz and wavelength 0.90 m. Wave speed is

1) 315.00 m/s

2) 157.50 m/s

3) 194.44 m/s

4) 0.0051 m/s

84 / 130

84. The pH of a neutral solution at 25°C is

1) 0

2) 14

3) Depends on solute always

4) 7

85 / 130

85. Choose the synonym of ‘concise’:

1) vague

2) brief

3) awkward

4) lengthy

86 / 130

86. A particle has initial speed 8 m/s and uniform acceleration 1.5 m/s² for 2 s. Final speed is

1) 0.75 m/s

2) 5.0 m/s

3) 11.0 m/s

4) 16.0 m/s

87 / 130

87. The oxidation number of Mn in KMnO₄ is

1) +4

2) +6

3) +2

4) +7

88 / 130

88. Which is a characteristic reaction of alkenes?

1) No reactions

2) Only elimination

3) Addition reaction

4) Only substitution

89 / 130

89. The hybridization of carbon in ethyne (C₂H₂) is

1) dsp²

2) sp²

3) sp

4) sp³

90 / 130

90. A solution with pH=3 has [H⁺] equal to

1) 10³ M

2) 10⁻¹ M

3) 10⁻⁷ M

4) 10⁻³ M

91 / 130

91. If 12 is to 144 as 9 is to ?

1) 90

2) 72

3) 81

4) 99

92 / 130

92. A particle moves in a circle of radius 0.7 m with speed 5 m/s. Centripetal acceleration is

1) 3.50 m/s²

2) 35.71 m/s²

3) 17.86 m/s²

4) 7.14 m/s²

93 / 130

93. The enthalpy change of formation of an element in its standard state is

1) Negative always

2) 1

3) Positive always

4) 0

94 / 130

94. 13th term of AP with a=3, d=7 is

1) 94

2) 252

3) 87

4) Option 4

95 / 130

95. If z = 1 + i, then z^2 equals

1) 2i

2) 0

3) −2i

4) 2

96 / 130

96. A person walks 7 m East, then 7 m South, then 5 m West. Distance from start is

1) 7.28 m

2) 19.00 m

3) 2.00 m

4) 5.00 m

97 / 130

97. Which of the following is a Lewis acid?

1) OH⁻

2) BF₃

3) Cl⁻

4) NH₃

98 / 130

98. If the mean of 15 numbers is 12, then their sum is

1) 27

2) 15

3) 12

4) 180

99 / 130

99. Which reagent distinguishes aldehyde from ketone?

1) HCl

2) NaOH

3) Tollens’ reagent

4) NaCl solution

100 / 130

100. If the wavelength of light decreases, its frequency (in the same medium)

1) Decreases

2) Increases

3) Becomes zero

4) Remains same

101 / 130

101. Which of the following is NOT a colligative property?

1) Freezing point depression

2) Osmotic pressure

3) Boiling point elevation

4) Viscosity

102 / 130

102. Number of subsets of a set with 10 elements is

1) 3628800

2) 20

3) 1024

4) 100

103 / 130

103. If sinθ = 0.5 and 0<θ<π, one possible value of θ is

1) π/3

2) π

3) π/2

4) π/6

104 / 130

104. Solve: 3x = 24. Value of x is

1) 3

2) 8

3) 4

4) 2

105 / 130

105. The SI unit of magnetic flux is

1) Tesla

2) Coulomb

3) Henry

4) Weber

106 / 130

106. If the day after tomorrow is Thursday, then today is

1) Friday

2) Tuesday

3) Wednesday

4) Monday

107 / 130

107. For a reaction, if ΔG° < 0, the reaction is

1) Impossible

2) Non-spontaneous always

3) At equilibrium already

4) Spontaneous under standard conditions

108 / 130

108. If sinθ=3/5 for acute θ, then cosθ equals

1) Option 4

2) 3/5

3) 4/5

4) 1/5

109 / 130

109. Value of determinant |2 7; 7 2| is

1) 53

2) 14

3) -45

4) 25

110 / 130

110. LCM of 10 and 5 is

1) 5

2) 15

3) 10

4) 50

111 / 130

111. Choose the antonym of ‘hostile’:

1) angry

2) rude

3) friendly

4) harsh

112 / 130

112. Remainder when 6 is divided by 4 is

1) 1

2) 4

3) 2

4) Option 4

113 / 130

113. Choose the correct preposition: She is interested ____ music.

1) for

2) in

3) at

4) on

114 / 130

114. Distance covered in 3 s by a body with u=8 m/s and a=1.0 m/s² is

1) 28.5 m

2) 11.0 m

3) 4.5 m

4) 24.0 m

115 / 130

115. Value of log₁₀(1000) is

1) 1

2) 10

3) 2

4) 3

116 / 130

116. Which compound shows hydrogen bonding?

1) CH₃OH

2) CS₂

3) CCl₄

4) CH₄

117 / 130

117. If 3 machines make 3 widgets in 3 minutes, how many minutes will 6 machines take to make 6 widgets?

1) 3

2) 9

3) 6

4) 1.5

118 / 130

118. Two masses 3 kg and 3 kg move with the same speed. Ratio of their momenta p1:p2 is

1) Option 4

2) 3:3

3) 9:9

4) 6:0

119 / 130

119. For a convex lens with f=16 cm and object distance u=-32 cm, image distance v (cm) is

1) -32.0

2) 16.0

3) -10.7

4) 10.7

120 / 130

120. Which radiation has the maximum penetrating power?

1) Gamma rays

2) Beta particles

3) Alpha particles

4) X-rays (always less)

121 / 130

121. How many letters are there between D and P in the English alphabet?

1) 13

2) 11

3) 10

4) 12

122 / 130

122. If ‘BOOK’ is coded as ‘CPPL’ (each letter +1), then ‘PEN’ is coded as

1) PFO

2) RGP

3) QFO

4) QFN

123 / 130

123. 9th term of GP with a=6, r=3 is

1) 118098

2) 39366

3) 162

4) 144

124 / 130

124. Ohm’s law is valid for

1) Semiconductors always

2) Electrolytes only

3) Metallic conductors at constant temperature

4) All materials at all temperatures

125 / 130

125. The value of 1 + 2 + 3 + … + 20 is

1) 190

2) 210

3) 200

4) 220

126 / 130

126. The value of 0! equals

1) 1

2) Infinity

3) 0

4) Undefined

127 / 130

127. In a certain language, ‘CAT’ is coded as ‘DBU’. Then ‘DOG’ is coded as

1) EOG

2) FPH

3) EPH

4) DPH

128 / 130

128. The coordination number of Na⁺ in NaCl (rock salt structure) is

1) 8

2) 12

3) 4

4) 6

129 / 130

129. The major product of hydration of ethene is

1) Ethane

2) Ethanal

3) Ethanoic acid

4) Ethanol

130 / 130

130. The force between two point charges varies with distance r as

1) 1/r²

2) 1/r

3) r²

4) r

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