BITSAT TYPE 4 – Start Exam

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BITSAT TYPE 4

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1 / 130

1. If logₐ b = c, then b equals

1) c^a

2) b^a

3) a^c

4) a/b

2 / 130

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

1) Metaphor

2) Hyperbole

3) Simile

4) Alliteration

3 / 130

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

1) Difference of capacitances

2) Sum of individual capacitances

3) Always smaller than each

4) Product of capacitances

4 / 130

4. The oxidation number of Mn in KMnO₄ is

1) +4

2) +2

3) +7

4) +6

5 / 130

5. Which is a characteristic reaction of alkenes?

1) Only substitution

2) No reactions

3) Addition reaction

4) Only elimination

6 / 130

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

1) Mercury

2) Venus

3) Moon

4) Earth

7 / 130

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

1) 12

2) 9

3) 11

4) 10

8 / 130

8. Choose the antonym of ‘hostile’:

1) friendly

2) rude

3) harsh

4) angry

9 / 130

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

1) r

2) 1/r

3) r²

4) 1/r²

10 / 130

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

1) 1

2) 0

3) Positive always

4) Negative always

11 / 130

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

1) Refraction and dispersion

2) Diffraction only

3) Interference only

4) Reflection only

12 / 130

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

1) 0.02 N

2) 3.75 N

3) 7.50 N

4) 1.67 N

13 / 130

13. Greatest common divisor of 8 and 6 is

1) 2

2) 1

3) 48

4) 14

14 / 130

14. The slope of the line x = 4 is

1) 1

2) 0

3) Undefined

4) 4

15 / 130

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

1) 6:0

2) 9:9

3) Option 4

4) 3:3

16 / 130

16. 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) Becomes zero

3) Remains always equal

4) Decreases

17 / 130

17. 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) 16.0 m/s

4) 11.0 m/s

18 / 130

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

1) 180

2) 27

3) 12

4) 15

19 / 130

19. 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

20 / 130

20. The bond angle in H₂O is approximately

1) 90°

2) 120°

3) 180°

4) 104.5°

21 / 130

21. Which is an example of an intensive property?

1) Density

2) Mass

3) Volume

4) Amount of substance

22 / 130

22. Value of 2^3 is

1) 16

2) 4

3) 8

4) 6

23 / 130

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

1) ML²T⁻¹

2) ML²T⁻²

3) M⁰L⁰T⁻¹

4) MLT⁻²

24 / 130

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

1) 120°

2) 90°

3) 45°

4) 60°

25 / 130

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

1) Definitely false

2) Definitely true

3) Both true and false

4) Cannot be determined

26 / 130

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

1) (7.0,6.0)

2) (12.0,2.0)

3) (2.0,10.0)

4) (10.0,8.0)

27 / 130

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

1) Avogadro’s law

2) Boyle’s law

3) Charles’ law

4) Graham’s law

28 / 130

28. 13th term of AP with a=3, d=7 is

1) 87

2) Option 4

3) 94

4) 252

29 / 130

29. Value of cos 0° is

1) 1

2) 1/2

3) 0

4) −1

30 / 130

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

1) π/3

2) π/2

3) π/6

4) π

31 / 130

31. Which of the following is a Lewis acid?

1) NH₃

2) OH⁻

3) BF₃

4) Cl⁻

32 / 130

32. The identity sin²θ + cos²θ equals

1) cos 2θ

2) 2

3) 0

4) 1

33 / 130

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

1) 20.0°

2) 70.0°

3) 340.0°

4) 100.0°

34 / 130

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

1) 5.10e+08 m/s

2) 3.00e+08 m/s

3) 1.04e+08 m/s

4) 1.76e+08 m/s

35 / 130

35. Which compound shows hydrogen bonding?

1) CCl₄

2) CS₂

3) CH₄

4) CH₃OH

36 / 130

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

1) 210

2) 200

3) 190

4) 220

37 / 130

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

1) -10.7

2) 16.0

3) -32.0

4) 10.7

38 / 130

38. If the roots of x^2−5x+6=0 are

1) 1 and 6

2) 3 and 6

3) 2 and 3

4) −2 and −3

39 / 130

39. LCM of 10 and 5 is

1) 15

2) 50

3) 5

4) 10

40 / 130

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

1) H₂

2) O₂

3) Cl₂

4) CO₂

41 / 130

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

1) 14

2) 0

3) 7

4) Depends on solute always

42 / 130

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

1) 6

2) 12

3) 4

4) 8

43 / 130

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

1) 10⁻³ M

2) 10³ M

3) 10⁻¹ M

4) 10⁻⁷ M

44 / 130

44. Which reagent distinguishes aldehyde from ketone?

1) HCl

2) NaOH

3) Tollens’ reagent

4) NaCl solution

45 / 130

45. If tanθ = 0, then θ can be

1) 0

2) π/4

3) π/3

4) π/2

46 / 130

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

1) RGP

2) QFN

3) QFO

4) PFO

47 / 130

47. If 5x = 0, then x equals

1) 0

2) Undefined

3) 1

4) 5

48 / 130

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

1) 17.50 J

2) 8.75 J

3) 7.00 J

4) 35.00 J

49 / 130

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

1) too

2) so

3) very

4) such

50 / 130

50. Which of the following is a transverse wave?

1) Compression wave in spring

2) Sound in air

3) Light in vacuum

4) Shock wave

51 / 130

51. Choose the synonym of ‘stern’:

1) careless

2) lazy

3) strict

4) gentle

52 / 130

52. In simple harmonic motion, acceleration is proportional to

1) Constant for all time

2) Negative of displacement

3) Square of displacement

4) Velocity

53 / 130

53. The magnetic quantum number can have values from

1) 0 to +l

2) 1 to +l

3) −l to +l

4) −n to +n

54 / 130

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

1) 6

2) 9

3) 1.5

4) 3

55 / 130

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

1) 0.305 mol

2) 0.406 mol

3) 4.060 mol

4) 0.041 mol

56 / 130

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

1) At equilibrium already

2) Impossible

3) Non-spontaneous always

4) Spontaneous under standard conditions

57 / 130

57. Unit of electric power is

1) Watt

2) Ampere

3) Ohm

4) Volt

58 / 130

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

1) 100

2) 1024

3) 20

4) 3628800

59 / 130

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

1) 625

2) 6250

3) 256

4) 500

60 / 130

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

1) 45

2) 35

3) 47

4) 49

61 / 130

61. Which is a reducing sugar?

1) Sucrose

2) Starch

3) Cellulose

4) Glucose

62 / 130

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

1) 157.50 m/s

2) 0.0051 m/s

3) 315.00 m/s

4) 194.44 m/s

63 / 130

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

1) 75

2) 69

3) 79

4) 81

64 / 130

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

1) 22π

2) 121π

3) 11π

4) 380.13

65 / 130

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

1) lavatory

2) library

3) librarian

4) laboratory

66 / 130

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

1) Father

2) Uncle

3) Grandfather

4) Brother

67 / 130

67. Which salt gives alkaline solution in water?

1) KNO₃

2) NH₄Cl

3) NaCl

4) CH₃COONa

68 / 130

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

1) 2

2) 0

3) 3

4) 1

69 / 130

69. Which radiation has the maximum penetrating power?

1) Beta particles

2) X-rays (always less)

3) Alpha particles

4) Gamma rays

70 / 130

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

1) sp³

2) sp

3) sp²

4) dsp²

71 / 130

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

1) School

2) Market

3) Office

4) Library

72 / 130

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

1) Velocity

2) Speed

3) Kinetic energy decreases

4) Momentum direction

73 / 130

73. The modulus |3−4i| equals

1) 5

2) 1

3) √7

4) 7

74 / 130

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

1) 7.14 m/s²

2) 17.86 m/s²

3) 35.71 m/s²

4) 3.50 m/s²

75 / 130

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

1) 3

2) 5

3) 2

4) 11

76 / 130

76. The IUPAC name of CH₃COCH₃ is

1) Ethanone

2) Butanone

3) Propanal

4) Propanone

77 / 130

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

1) 1.50e-04 C

2) 1.50e-06 C

3) 1.50e-05 C

4) 1.50e+01 C

78 / 130

78. The polymer formed from vinyl chloride is

1) Nylon-6,6

2) Teflon

3) PVC

4) Bakelite

79 / 130

79. If a matrix has determinant 0, it is

1) Diagonal

2) Orthogonal

3) Identity

4) Singular

80 / 130

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

1) 72

2) 99

3) 81

4) 90

81 / 130

81. Choose the synonym of ‘concise’:

1) brief

2) vague

3) lengthy

4) awkward

82 / 130

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

1) but

2) yet

3) so

4) and

83 / 130

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

1) ₹1.25

2) ₹375.00

3) ₹3.75

4) ₹7.50

84 / 130

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

1) 303.1 J

2) -175.0 J

3) 350.0 J

4) 175.0 J

85 / 130

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

1) 0

2) P(A)P(B)

3) 2

4) 1

86 / 130

86. The number of π bonds in benzene is

1) 6

2) 1

3) 3

4) 0

87 / 130

87. The shape of PCl₅ molecule is

1) Octahedral

2) Trigonal bipyramidal

3) Tetrahedral

4) Square planar

88 / 130

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

1) 0

2) Undefined always

3) −1

4) 1

89 / 130

89. The major product of hydration of ethene is

1) Ethanal

2) Ethanoic acid

3) Ethanol

4) Ethane

90 / 130

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

1) 55

2) 165

3) 11

4) Option 4

91 / 130

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

1) CH₄

2) [Co(NH₃)₆]Cl₃

3) H₂SO₄

4) NaCl

92 / 130

92. In an electrochemical cell, oxidation occurs at the

1) Cathode

2) Salt bridge

3) Anode

4) Electrolyte only

93 / 130

93. The value of (−1)^{2025} is

1) −1

2) 2025

3) 1

4) 0

94 / 130

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

1) 1.2

2) 0.6

3) 0.8

4) 0.2

95 / 130

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

1) 0

2) C

3) L

4) R

96 / 130

96. Which among the following is a strong acid?

1) HClO₄

2) CH₃COOH

3) HF

4) H₂CO₃

97 / 130

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

1) with

2) to

3) on

4) for

98 / 130

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

1) Becomes zero

2) Remains same

3) Decreases

4) Increases

99 / 130

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

1) 32

2) 16

3) 7

4) 8

100 / 130

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

1) 24.0 m

2) 4.5 m

3) 11.0 m

4) 28.5 m

101 / 130

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

1) 20.00 A

2) 120 A

3) 0.30 A

4) 3.33 A

102 / 130

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

1) 2

2) 4

3) 8

4) 3

103 / 130

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

1) 27

2) 125

3) 8

4) 64

104 / 130

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

1) 53

2) -45

3) 14

4) 25

105 / 130

105. 9th term of GP with a=6, r=3 is

1) 118098

2) 162

3) 144

4) 39366

106 / 130

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

1) Acceleration becomes zero

2) Momentum becomes maximum

3) Kinetic energy becomes maximum

4) Velocity becomes zero

107 / 130

107. Value of log₁₀(1000) is

1) 10

2) 1

3) 3

4) 2

108 / 130

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

1) mol L⁻¹ s⁻¹

2) L mol⁻¹ s⁻¹

3) L² mol⁻² s⁻¹

4) s⁻¹

109 / 130

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

1) 2.00 m

2) 19.00 m

3) 5.00 m

4) 7.28 m

110 / 130

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

1) 0

2) 2

3) 2i

4) −2i

111 / 130

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

1) 3/5

2) 1/5

3) Option 4

4) 4/5

112 / 130

112. Ohm’s law is valid for

1) Electrolytes only

2) All materials at all temperatures

3) Metallic conductors at constant temperature

4) Semiconductors always

113 / 130

113. Remainder when 6 is divided by 4 is

1) 1

2) Option 4

3) 2

4) 4

114 / 130

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

1) 48.0 J

2) 58.8 J

3) 470.4 J

4) Option 4

115 / 130

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

1) Tuesday

2) Monday

3) Friday

4) Wednesday

116 / 130

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

1) 0.24 W

2) 87.12 W

3) 19.80 W

4) 43.56 W

117 / 130

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

1) announce

2) annunce

3) announse

4) anounce

118 / 130

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

1) Den

2) Kennel

3) Hive

4) Cave

119 / 130

119. The SI unit of magnetic flux is

1) Tesla

2) Henry

3) Coulomb

4) Weber

120 / 130

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

1) Option 4

2) x^0

3) x^16

4) x^64

121 / 130

121. The value of 0! equals

1) 1

2) Infinity

3) 0

4) Undefined

122 / 130

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

1) in

2) on

3) at

4) for

123 / 130

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

1) 10

2) 11

3) 13

4) 12

124 / 130

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

1) HS

2) IS

3) IR

4) JT

125 / 130

125. In the periodic table, electronegativity generally

1) Is constant everywhere

2) Increases down a group

3) Decreases across a period

4) Increases across a period and decreases down a group

126 / 130

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

1) A

2) C

3) B

4) D

127 / 130

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

1) 3:10

2) 3:20

3) 4:5

4) 6:10

128 / 130

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

1) EPH

2) EOG

3) DPH

4) FPH

129 / 130

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

1) Freezing point depression

2) Boiling point elevation

3) Osmotic pressure

4) Viscosity

130 / 130

130. 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) Cannot be concluded

4) Definitely false

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