BITSAT TYPE 4

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BITSAT TYPE 4

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1 / 130

1. If a matrix has determinant 0, it is

1) Identity

2) Singular

3) Diagonal

4) Orthogonal

2 / 130

2. The value of (−1)^{2025} is

1) −1

2) 2025

3) 1

4) 0

3 / 130

3. The number of π bonds in benzene is

1) 0

2) 3

3) 6

4) 1

4 / 130

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

1) 2.67 Ω

2) 10.0 Ω

3) 20 Ω

4) 8 Ω

5 / 130

5. Which reagent distinguishes aldehyde from ketone?

1) NaCl solution

2) HCl

3) NaOH

4) Tollens’ reagent

6 / 130

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

1) 3

2) 2

3) 11

4) 5

7 / 130

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

1) 500

2) 6250

3) 256

4) 625

8 / 130

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

1) 380.13

2) 22π

3) 121π

4) 11π

9 / 130

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

1) B

2) A

3) C

4) D

10 / 130

10. Which salt gives alkaline solution in water?

1) CH₃COONa

2) NH₄Cl

3) NaCl

4) KNO₃

11 / 130

11. Which among the following is a strong acid?

1) CH₃COOH

2) HClO₄

3) H₂CO₃

4) HF

12 / 130

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

1) 12

2) 15

3) 180

4) 27

13 / 130

13. Which radiation has the maximum penetrating power?

1) Beta particles

2) Alpha particles

3) Gamma rays

4) X-rays (always less)

14 / 130

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

1) 2

2) 0

3) 1

4) P(A)P(B)

15 / 130

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

1) Graham’s law

2) Charles’ law

3) Boyle’s law

4) Avogadro’s law

16 / 130

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

1) x^64

2) x^16

3) x^0

4) Option 4

17 / 130

17. 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) 7.50 N

3) 0.02 N

4) 1.67 N

18 / 130

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

1) (7.0,6.0)

2) (2.0,10.0)

3) (10.0,8.0)

4) (12.0,2.0)

19 / 130

19. The shape of PCl₅ molecule is

1) Octahedral

2) Tetrahedral

3) Square planar

4) Trigonal bipyramidal

20 / 130

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

1) Negative always

2) Positive always

3) 1

4) 0

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

1) 8

2) 12

3) 4

4) 6

22 / 130

22. Which compound shows hydrogen bonding?

1) CH₃OH

2) CH₄

3) CCl₄

4) CS₂

23 / 130

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

1) 0.2

2) 0.8

3) 0.6

4) 1.2

24 / 130

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

1) C

2) 0

3) R

4) L

25 / 130

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

1) Metaphor

2) Alliteration

3) Simile

4) Hyperbole

26 / 130

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

1) Both true and false

2) Definitely false

3) Cannot be concluded

4) Definitely true

27 / 130

27. 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

28 / 130

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

1) 165

2) 11

3) 55

4) Option 4

29 / 130

29. Which is a characteristic reaction of alkenes?

1) Only substitution

2) Addition reaction

3) No reactions

4) Only elimination

30 / 130

30. 13th term of AP with a=3, d=7 is

1) Option 4

2) 87

3) 252

4) 94

31 / 130

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

1) HS

2) IS

3) JT

4) IR

32 / 130

32. In simple harmonic motion, acceleration is proportional to

1) Velocity

2) Constant for all time

3) Square of displacement

4) Negative of displacement

33 / 130

33. The magnetic quantum number can have values from

1) −n to +n

2) 1 to +l

3) 0 to +l

4) −l to +l

34 / 130

34. If 5x = 0, then x equals

1) 0

2) Undefined

3) 1

4) 5

35 / 130

35. Ohm’s law is valid for

1) All materials at all temperatures

2) Semiconductors always

3) Electrolytes only

4) Metallic conductors at constant temperature

36 / 130

36. Greatest common divisor of 8 and 6 is

1) 48

2) 1

3) 2

4) 14

37 / 130

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

1) QFN

2) RGP

3) QFO

4) PFO

38 / 130

38. LCM of 10 and 5 is

1) 5

2) 15

3) 50

4) 10

39 / 130

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

1) 0.406 mol

2) 0.305 mol

3) 0.041 mol

4) 4.060 mol

40 / 130

40. If logₐ b = c, then b equals

1) b^a

2) a^c

3) a/b

4) c^a

41 / 130

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

1) 49

2) 35

3) 45

4) 47

42 / 130

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

1) sp²

2) sp

3) dsp²

4) sp³

43 / 130

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

1) 35.00 J

2) 17.50 J

3) 8.75 J

4) 7.00 J

44 / 130

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

1) 58.8 J

2) Option 4

3) 48.0 J

4) 470.4 J

45 / 130

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

1) Becomes zero

2) Decreases

3) Remains same

4) Increases

46 / 130

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

1) 10⁻⁷ M

2) 10³ M

3) 10⁻³ M

4) 10⁻¹ M

47 / 130

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

1) ₹375.00

2) ₹1.25

3) ₹3.75

4) ₹7.50

48 / 130

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

1) 20.0°

2) 340.0°

3) 100.0°

4) 70.0°

49 / 130

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

1) Grandfather

2) Father

3) Brother

4) Uncle

50 / 130

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

1) 10.7

2) -10.7

3) 16.0

4) -32.0

51 / 130

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

1) 25

2) -45

3) 14

4) 53

52 / 130

52. Value of log₁₀(1000) is

1) 10

2) 2

3) 1

4) 3

53 / 130

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

1) 1/r²

2) 1/r

3) r²

4) r

54 / 130

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

1) 1.50e-05 C

2) 1.50e-06 C

3) 1.50e-04 C

4) 1.50e+01 C

55 / 130

55. 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

56 / 130

56. Which is a reducing sugar?

1) Glucose

2) Cellulose

3) Sucrose

4) Starch

57 / 130

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

1) 32

2) 8

3) 7

4) 16

58 / 130

58. Choose the antonym of ‘hostile’:

1) rude

2) angry

3) friendly

4) harsh

59 / 130

59. Remainder when 6 is divided by 4 is

1) Option 4

2) 4

3) 2

4) 1

60 / 130

60. The SI unit of magnetic flux is

1) Henry

2) Weber

3) Coulomb

4) Tesla

61 / 130

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

1) Always smaller than each

2) Product of capacitances

3) Sum of individual capacitances

4) Difference of capacitances

62 / 130

62. In an electrochemical cell, oxidation occurs at the

1) Anode

2) Salt bridge

3) Cathode

4) Electrolyte only

63 / 130

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

1) such

2) so

3) very

4) too

64 / 130

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

1) Boiling point elevation

2) Osmotic pressure

3) Freezing point depression

4) Viscosity

65 / 130

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

1) Momentum becomes maximum

2) Kinetic energy becomes maximum

3) Velocity becomes zero

4) Acceleration becomes zero

66 / 130

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

1) 157.50 m/s

2) 315.00 m/s

3) 0.0051 m/s

4) 194.44 m/s

67 / 130

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

1) 12

2) 10

3) 9

4) 11

68 / 130

68. Value of cos 0° is

1) 0

2) −1

3) 1

4) 1/2

69 / 130

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

1) Wednesday

2) Friday

3) Tuesday

4) Monday

70 / 130

70. The value of 0! equals

1) Infinity

2) 0

3) Undefined

4) 1

71 / 130

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

1) Cave

2) Hive

3) Den

4) Kennel

72 / 130

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

1) O₂

2) Cl₂

3) H₂

4) CO₂

73 / 130

73. The oxidation number of Mn in KMnO₄ is

1) +2

2) +6

3) +4

4) +7

74 / 130

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

1) 81

2) 79

3) 69

4) 75

75 / 130

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

1) Kinetic energy decreases

2) Velocity

3) Momentum direction

4) Speed

76 / 130

76. The slope of the line x = 4 is

1) 1

2) Undefined

3) 0

4) 4

77 / 130

77. Choose the synonym of ‘stern’:

1) lazy

2) strict

3) careless

4) gentle

78 / 130

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

1) −1

2) 0

3) 1

4) Undefined always

79 / 130

79. In the periodic table, electronegativity generally

1) Increases across a period and decreases down a group

2) Is constant everywhere

3) Increases down a group

4) Decreases across a period

80 / 130

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

1) ML²T⁻²

2) ML²T⁻¹

3) M⁰L⁰T⁻¹

4) MLT⁻²

81 / 130

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

1) 2

2) 0

3) −2i

4) 2i

82 / 130

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

1) 6:0

2) Option 4

3) 9:9

4) 3:3

83 / 130

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

1) 20

2) 1024

3) 3628800

4) 100

84 / 130

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

1) 3:20

2) 6:10

3) 4:5

4) 3:10

85 / 130

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

1) annunce

2) anounce

3) announce

4) announse

86 / 130

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

1) 9

2) 6

3) 1.5

4) 3

87 / 130

87. 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

88 / 130

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

1) Becomes zero

2) Remains always equal

3) Increases

4) Decreases

89 / 130

89. The major product of hydration of ethene is

1) Ethanoic acid

2) Ethanol

3) Ethanal

4) Ethane

90 / 130

90. The polymer formed from vinyl chloride is

1) PVC

2) Bakelite

3) Teflon

4) Nylon-6,6

91 / 130

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

1) 81

2) 99

3) 90

4) 72

92 / 130

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

1) lavatory

2) laboratory

3) librarian

4) library

93 / 130

93. 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

94 / 130

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

1) 0.24 W

2) 19.80 W

3) 87.12 W

4) 43.56 W

95 / 130

95. Unit of electric power is

1) Watt

2) Volt

3) Ampere

4) Ohm

96 / 130

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

1) Non-spontaneous always

2) At equilibrium already

3) Impossible

4) Spontaneous under standard conditions

97 / 130

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

1) 14

2) Depends on solute always

3) 7

4) 0

98 / 130

98. The identity sin²θ + cos²θ equals

1) 0

2) 2

3) 1

4) cos 2θ

99 / 130

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

1) 3

2) 1

3) 2

4) 0

100 / 130

100. 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

101 / 130

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

1) 7.28 m

2) 2.00 m

3) 19.00 m

4) 5.00 m

102 / 130

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

1) 12

2) 10

3) 11

4) 13

103 / 130

103. If tanθ = 0, then θ can be

1) 0

2) π/3

3) π/4

4) π/2

104 / 130

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

1) 4

2) 3

3) 2

4) 8

105 / 130

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

1) to

2) for

3) on

4) with

106 / 130

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

1) DPH

2) EOG

3) EPH

4) FPH

107 / 130

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

1) Definitely false

2) Both true and false

3) Definitely true

4) Cannot be determined

108 / 130

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

1) so

2) yet

3) and

4) but

109 / 130

109. Which is an example of an intensive property?

1) Density

2) Mass

3) Volume

4) Amount of substance

110 / 130

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

1) Venus

2) Earth

3) Moon

4) Mercury

111 / 130

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

1) 5.10e+08 m/s

2) 1.76e+08 m/s

3) 1.04e+08 m/s

4) 3.00e+08 m/s

112 / 130

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

1) Library

2) Market

3) Office

4) School

113 / 130

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

1) 20.00 A

2) 3.33 A

3) 0.30 A

4) 120 A

114 / 130

114. Which of the following is a transverse wave?

1) Light in vacuum

2) Compression wave in spring

3) Sound in air

4) Shock wave

115 / 130

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

1) 125

2) 8

3) 27

4) 64

116 / 130

116. Choose the synonym of ‘concise’:

1) lengthy

2) brief

3) vague

4) awkward

117 / 130

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

1) in

2) at

3) for

4) on

118 / 130

118. The IUPAC name of CH₃COCH₃ is

1) Propanal

2) Butanone

3) Ethanone

4) Propanone

119 / 130

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

1) 16.0 m/s

2) 0.75 m/s

3) 5.0 m/s

4) 11.0 m/s

120 / 130

120. 9th term of GP with a=6, r=3 is

1) 118098

2) 144

3) 39366

4) 162

121 / 130

121. 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

122 / 130

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

1) 200

2) 210

3) 190

4) 220

123 / 130

123. The bond angle in H₂O is approximately

1) 90°

2) 180°

3) 104.5°

4) 120°

124 / 130

124. Value of 2^3 is

1) 16

2) 6

3) 4

4) 8

125 / 130

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

1) [Co(NH₃)₆]Cl₃

2) H₂SO₄

3) NaCl

4) CH₄

126 / 130

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

1) 3/5

2) 4/5

3) 1/5

4) Option 4

127 / 130

127. Which of the following is a Lewis acid?

1) BF₃

2) OH⁻

3) Cl⁻

4) NH₃

128 / 130

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

1) 60°

2) 45°

3) 120°

4) 90°

129 / 130

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

1) Reflection only

2) Diffraction only

3) Interference only

4) Refraction and dispersion

130 / 130

130. The modulus |3−4i| equals

1) 1

2) 7

3) 5

4) √7

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