BITSAT TYPE 1 - Start Exam

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BITSAT TYPE 1

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1 / 130

1. Choose the correct sentence:

1) Neither of the answer is correct.

2) Neither of the answers are correct.

3) Neither of the answers were correct.

4) Neither of the answers is correct.

2 / 130

2. If z = 4 + i2, then |z| equals

1) 2.00

2) 6.00

3) 4.47

4) 20.00

3 / 130

3. In an AP with first term 7 and common difference 3, the 8th term is

1) 34

2) 28

3) 59

4) 168

4 / 130

4. ∫ x^5 dx equals

1) x^6/6 + C

2) x^4/4 + C

3) ln x + C

4) 5x^4 + C

5 / 130

5. A particle moves in a circle of radius 6 m with constant speed 5 m/s. Its centripetal acceleration is

1) 0.24 m/s²

2) 4.17 m/s²

3) 0.83 m/s²

4) 150.00 m/s²

6 / 130

6. Choose the correct word: He is good ____ mathematics.

1) at

2) on

3) in

4) for

7 / 130

7. A thin convex lens has focal length 10 cm. An object is placed at 40 cm in front of it. Using sign convention (u negative), the image distance v is

1) 10.0 cm

2) -8.0 cm

3) 8.0 cm

4) -40.0 cm

8 / 130

8. An isolated point charge of 2 μC is placed in vacuum. The magnitude of electric field at a distance 0.1 m from it is

1) 1.80e+07 N/C

2) 1.80e+02 N/C

3) 1.80e+06 N/C

4) 1.80e+05 N/C

9 / 130

9. A particle starts with speed 21 m/s and accelerates uniformly at 4 m/s² for 2 s. Its displacement in this interval is

1) 58 m

2) 50 m

3) 42 m

4) 50.0 m

10 / 130

10. Choose the correctly spelled word:

1) accommadate

2) acommodate

3) accommodate

4) accomodate

11 / 130

11. A 4 kg block slides down a rough incline of angle 30° with coefficient of kinetic friction 0.1. Take g≈9.8 m/s². Its acceleration is closest to

1) -4.05 m/s²

2) 5.75 m/s²

3) 4.90 m/s²

4) 4.05 m/s²

12 / 130

12. The acidic character of oxides of elements across a period generally

1) Increases

2) First increases then decreases

3) Decreases

4) Remains the same

13 / 130

13. Oxidation is defined as

1) Loss of electrons

2) Gain of protons

3) Gain of electrons

4) Loss of neutrons

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14. A charge of 2 μC moves with speed 6e+05 m/s perpendicular to a uniform magnetic field of 1.0 T. The magnetic force magnitude is

1) 3.33e-12 N

2) Option 3

3) Option 4

4) 1.20e+00 N

15 / 130

15. For vectors a=(-3,3) and b=(4,-3), the dot product a·b is

1) 1

2) -3

3) Option 4

4) -21

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16. For an electrochemical cell with E° = 1.5 V and n = 1 electrons, the standard Gibbs energy change is approximately

1) -0.0 kJ/mol

2) 144.7 kJ/mol

3) -144.7 kJ/mol

4) Option 4

17 / 130

17. Which reagent converts a primary alcohol to an aldehyde under controlled conditions?

1) NaOH(aq)

2) LiAlH₄

3) KMnO₄ (hot, acidic)

4) PCC

18 / 130

18. In Young’s double slit experiment, wavelength is 600 nm, slit separation is 0.20 mm and screen distance is 1.0 m. Fringe width is

1) 3.00 mm

2) Option 4

3) Option 3

4) 0.00 mm

19 / 130

19. For a process, ΔH = -168 kJ/mol and ΔS = -32 J/mol·K. At T = 371 K, ΔG is

1) -167968.0 kJ/mol

2) -179.9 kJ/mol

3) -168.0 kJ/mol

4) -156.1 kJ/mol

20 / 130

20. For the data [12, 18, 14, 12, 3], the mean is

1) 11.80

2) 12

3) 59

4) 15.00

21 / 130

21. The area of a circle of radius 2 units is

1) 12.57

2) 6.28

3) 4.00

4) Option 4

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22. For a first order reaction, if the rate constant doubles (k→2k), the half-life t₁/₂ becomes

1) Half of the original

2) Double the original

3) Unchanged

4) Four times the original

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23. For the line y = 2x + -2, the y-coordinate when x = 2 is

1) 0

2) 2

3) 3

4) 6

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24. An isolated point charge of 5 μC is placed in vacuum. The magnitude of electric field at a distance 0.2 m from it is

1) 2.25e+05 N/C

2) 5.62e+06 N/C

3) 1.80e+03 N/C

4) 1.12e+06 N/C

25 / 130

25. Phenol is more acidic than ethanol primarily because

1) Phenol has higher molecular mass

2) Ethanol forms stronger H-bonds

3) Phenoxide ion is resonance stabilized

4) Phenol has no H atom

26 / 130

26. Find the next number in the series: 2, 7, 12, 17, ?

1) 22

2) 27

3) 17

4) 19

27 / 130

27. Bird : Nest :: Bee : ?

1) Hive

2) Home

3) Forest

4) Cage

28 / 130

28. If z = 3 + i4, then |z| equals

1) 5.00

2) 7.00

3) 1.00

4) 25.00

29 / 130

29. A person walks 7 km East, then 4 km North. How far is he from the starting point?

1) 8.06 km

2) 65.00 km

3) 11.00 km

4) 3.00 km

30 / 130

30. The number of permutations of 9 distinct objects taken 4 at a time is

1) 362880

2) 6561

3) 3024

4) 126

31 / 130

31. A person walks 3 km East, then 4 km North. How far is he from the starting point?

1) 5.00 km

2) 7.00 km

3) 25.00 km

4) 1.00 km

32 / 130

32. Two resistors 6 Ω and 9 Ω are connected in parallel across 17 V. The total current drawn is

1) 1.13 A

2) 1.89 A

3) 2.83 A

4) 4.72 A

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33. A particle starts with speed 25 m/s and accelerates uniformly at 1 m/s² for 2 s. Its displacement in this interval is

1) 52.0 m

2) 50 m

3) 54 m

4) 52 m

34 / 130

34. Find the next number in the series: 5, 9, 13, 17, ?

1) 25

2) 17

3) 22

4) 21

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35. In colloids, the scattering of light by dispersed particles is known as

1) Dialysis

2) Brownian motion

3) Tyndall effect

4) Osmosis

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36. A 4 kg block slides down a rough incline of angle 53° with coefficient of kinetic friction 0.1. Take g≈9.8 m/s². Its acceleration is closest to

1) 7.83 m/s²

2) -7.24 m/s²

3) 7.24 m/s²

4) 8.42 m/s²

37 / 130

37. For an electrochemical cell with E° = 1.5 V and n = 2 electrons, the standard Gibbs energy change is approximately

1) -289.5 kJ/mol

2) -144.7 kJ/mol

3) -0.0 kJ/mol

4) 289.5 kJ/mol

38 / 130

38. Choose the synonym of ‘abundant’:

1) scarce

2) vague

3) plentiful

4) fragile

39 / 130

39. For a reaction at equilibrium, the equilibrium constant Kc = 0.5. The reaction is product-favoured when

1) Kc < 1

2) Kc is negative

3) Kc = 0

4) Kc > 1

40 / 130

40. If each letter is shifted forward by 3 positions in the alphabet (A→B for shift 1), what is the code for CAT?

1) ECV

2) FDW

3) GEX

4) TAC

41 / 130

41. The number of permutations of 6 distinct objects taken 4 at a time is

1) 1296

2) 360

3) 15

4) 720

42 / 130

42. A siren of frequency 244 Hz moves towards a stationary observer with speed 56 m/s. Take speed of sound 340 m/s. The observed frequency is closest to

1) 284 Hz

2) 209 Hz

3) 292 Hz

4) 204 Hz

43 / 130

43. A gas at 2 atm occupies 5 L at constant temperature. Its volume at 2 atm will be

1) 20.00 L

2) 5.00 L

3) Option 4

4) 7.00 L

44 / 130

44. A mass 1 kg is projected vertically upward with speed 5 m/s. Neglect air resistance. The speed when it comes down after falling through height 9 m from the topmost point is

1) 171.40 m/s

2) 181.40 m/s

3) 14.19 m/s

4) 0.00 m/s

45 / 130

45. A characteristic property of transition metals is

1) Variable oxidation states

2) Always colorless compounds

3) Low melting points

4) No complex formation

46 / 130

46. For the data [14, 16, 1, 13, 11], the mean is

1) 55

2) 11.00

3) 13

4) 15.00

47 / 130

47. The roots of x² + (-5)x + (0) = 0 are

1) Option 4

2) 0 and -5

3) 5 and -5

4) 0 and 5

48 / 130

48. A gas at 2 atm occupies 2 L at constant temperature. Its volume at 2 atm will be

1) Option 4

2) 8.00 L

3) 2.00 L

4) 4.00 L

49 / 130

49. A person walks 5 km East, then 5 km North. How far is he from the starting point?

1) 7.07 km

2) 50.00 km

3) 10.00 km

4) 0.00 km

50 / 130

50. In Bohr model of hydrogen, the energy of electron in the n=3 orbit is

1) -122.40 eV

2) -4.53 eV

3) 1.51 eV

4) -1.51 eV

51 / 130

51. A fair die is thrown once. Probability of getting a number greater than 5 is

1) 5/6

2) 1/2

3) Option 4

4) 1/6

52 / 130

52. In an AP with first term 9 and common difference 4, the 7th term is

1) 33

2) 252

3) 67

4) 41

53 / 130

53. A person walks 4 km East, then 6 km North. How far is he from the starting point?

1) 10.00 km

2) 2.00 km

3) 7.21 km

4) 52.00 km

54 / 130

54. The determinant of [[2,4],[4,-1]] is

1) 12

2) 14

3) 9

4) -18

55 / 130

55. If each letter is shifted forward by 1 positions in the alphabet (A→B for shift 1), what is the code for CAR?

1) RAC

2) CAR

3) DBS

4) ECT

56 / 130

56. The derivative of x^6 with respect to x is

1) 5x^6

2) 6x^6

3) x^5

4) 6x^5

57 / 130

57. A coil with 186 turns and area 0.039 m² experiences a uniform change in magnetic field of 0.36 T in 0.11 s (field normal to coil). The induced emf is

1) 24.76 V

2) 0.13 V

3) 632.19 V

4) 0.28 V

58 / 130

58. A sample of mass 15 g has molar mass 98 g/mol. The number of moles in the sample is

1) 6.533 mol

2) 1470.000 mol

3) 9.217e+22 mol

4) 0.153 mol

59 / 130

59. The IUPAC name of CH₃–CH₂–OH is

1) Ethanol

2) Propanol

3) Methanol

4) Ethanal

60 / 130

60. A 5 kg mass moving at 7 m/s collides and sticks to a stationary 3 kg mass. The common velocity just after collision is

1) 11.67 m/s

2) 7.00 m/s

3) 4.38 m/s

4) 2.62 m/s

61 / 130

61. Across a period in the periodic table, the first ionization enthalpy generally

1) Decreases

2) Becomes zero

3) Increases

4) Remains constant

62 / 130

62. The value of sin²θ + cos²θ equals

1) cos 2θ

2) sin 2θ

3) 1

4) 0

63 / 130

63. A solution has pH = 2. The hydrogen ion concentration [H⁺] is

1) 1.0e+02 M

2) 1.0e-12 M

3) 2.0e+00 M

4) 1.0e-02 M

64 / 130

64. In a face-centered cubic (fcc) lattice, the number of atoms per unit cell is

1) 6

2) 2

3) 1

4) 4

65 / 130

65. If each letter is shifted forward by 3 positions in the alphabet (A→B for shift 1), what is the code for MAP?

1) OCR

2) QET

3) PAM

4) PDS

66 / 130

66. A 5 kg mass moving at 5 m/s collides and sticks to a stationary 4 kg mass. The common velocity just after collision is

1) 5.00 m/s

2) 2.78 m/s

3) 6.25 m/s

4) 2.22 m/s

67 / 130

67. In VSEPR theory, the shape of NH₃ is

1) Linear

2) Tetrahedral

3) Trigonal planar

4) Trigonal pyramidal

68 / 130

68. In an AP with first term 10 and common difference 3, the 15th term is

1) 58

2) 153

3) 52

4) 450

69 / 130

69. A sample of mass 39 g has molar mass 18 g/mol. The number of moles in the sample is

1) 1.305e+24 mol

2) 0.462 mol

3) 2.167 mol

4) 702.000 mol

70 / 130

70. The roots of x² + (6)x + (5) = 0 are

1) 5 and -6

2) -6 and 4

3) 1 and 5

4) -1 and -5

71 / 130

71. ∫ x^4 dx equals

1) x^3/3 + C

2) 4x^3 + C

3) x^5/5 + C

4) ln x + C

72 / 130

72. Statements: All roses are flowers. Some flowers fade quickly. Conclusions: (I) Some roses fade quickly. (II) All roses are flowers. Which conclusion(s) follow?

1) Only I follows

2) Neither I nor II follows

3) Only II follows

4) Both I and II follow

73 / 130

73. A rigid body has moment of inertia 4 kg·m² about a fixed axis and angular acceleration 4 rad/s². The net torque on it is

1) 1.00 N·m

2) 64.00 N·m

3) Option 4

4) 16.00 N·m

74 / 130

74. For vectors a=(-2,-3) and b=(1,3), the dot product a·b is

1) 7

2) -11

3) -3

4) -1

75 / 130

75. Compounds having the same molecular formula but different connectivity are called

1) Geometrical isomers

2) Conformers only

3) Optical isomers

4) Structural isomers

76 / 130

76. Find the next number in the series: 6, 9, 12, 15, ?

1) 18

2) Option 4

3) 21

4) 15

77 / 130

77. Author : Book :: Painter : ?

1) Forest

2) Canvas

3) Home

4) Cage

78 / 130

78. If each letter is shifted forward by 4 positions in the alphabet (A→B for shift 1), what is the code for CAR?

1) GEV

2) RAC

3) FDU

4) HFW

79 / 130

79. For an octahedral complex, the coordination number of the metal ion is

1) 4

2) 8

3) 2

4) 6

80 / 130

80. The roots of x² + (-5)x + (4) = 0 are

1) -1 and -4

2) 1 and 4

3) 5 and -3

4) 4 and 5

81 / 130

81. The output of a NAND gate is 0 only when

1) All inputs are 0

2) Any one input is 0

3) Any one input is 1

4) All inputs are 1

82 / 130

82. A siren of frequency 365 Hz moves towards a stationary observer with speed 44 m/s. Take speed of sound 340 m/s. The observed frequency is closest to

1) 419 Hz

2) 412 Hz

3) 323 Hz

4) 318 Hz

83 / 130

83. A mass-spring system has mass 4 kg and spring constant 99 N/m. The time period of small oscillations is

1) 31.26 s

2) 0.63 s

3) 1.26 s

4) 125.03 s

84 / 130

84. For the line y = 1x + 2, the y-coordinate when x = -3 is

1) 0

2) -1

3) -5

4) 3

85 / 130

85. From a point on level ground, the angle of elevation of the top of a tower is 30°. If the tower is 26 m high, the distance of the point from the base is

1) 15.01 m

2) 22.52 m

3) 45.03 m

4) 13.00 m

86 / 130

86. Nylon-6,6 is formed by condensation of

1) Glucose units

2) Ethene monomers

3) Vinyl chloride monomers

4) Hexamethylenediamine and adipic acid

87 / 130

87. A solution has pH = 11. The hydroxide ion concentration [OH⁻] is

1) 1.0e-11 M

2) 1.1e+01 M

3) 1.0e+03 M

4) 1.0e-03 M

88 / 130

88. A rigid body has moment of inertia 1 kg·m² about a fixed axis and angular acceleration 5 rad/s². The net torque on it is

1) 25.00 N·m

2) 0.20 N·m

3) 5.00 N·m

4) Option 4

89 / 130

89. 2 mol of an ideal monatomic gas is heated at constant volume by 70 K. The change in internal energy is

1) 2909.9 J

2) 1164.0 J

3) 1745.9 J

4) 582.0 J

90 / 130

90. ∫ x^2 dx equals

1) ln x + C

2) x^1/1 + C

3) 2x^1 + C

4) x^3/3 + C

91 / 130

91. Find the next number in the series: 1, 3, 5, 7, ?

1) 11

2) 7

3) 8

4) 9

92 / 130

92. For the data [13, 16, 13, 8, 5], the mean is

1) Option 4

2) 55

3) 13

4) 11.00

93 / 130

93. The derivative of x^3 with respect to x is

1) 3x^3

2) 3x^2

3) 2x^3

4) x^2

94 / 130

94. Choose the correct form: If I ____ you, I would apologize.

1) was

2) am

3) were

4) be

95 / 130

95. The roots of x² + (2)x + (-15) = 0 are

1) -15 and -2

2) -2 and -8

3) 5 and -3

4) -5 and 3

96 / 130

96. Key : Lock :: Password : ?

1) Forest

2) Account

3) Home

4) Cage

97 / 130

97. If each letter is shifted forward by 3 positions in the alphabet (A→B for shift 1), what is the code for CAR?

1) RAC

2) GEV

3) FDU

4) ECT

98 / 130

98. Fill the blank: She has been working here ____ 2019.

1) by

2) for

3) from

4) since

99 / 130

99. From a point on level ground, the angle of elevation of the top of a tower is 60°. If the tower is 59 m high, the distance of the point from the base is

1) 102.19 m

2) 34.06 m

3) 29.50 m

4) 51.10 m

100 / 130

100. A gas at 1 atm occupies 5 L at constant temperature. Its volume at 2 atm will be

1) Option 4

2) 2.50 L

3) 7.00 L

4) 10.00 L

101 / 130

101. Which device is typically used for voltage regulation in reverse bias?

1) Photodiode

2) LED

3) Zener diode

4) p-n junction diode (forward bias)

102 / 130

102. A molecule with trigonal planar geometry around the central atom typically has hybridization

1) sp³

2) sp²

3) sp

4) dsp²

103 / 130

103. Find the next number in the series: 5, 8, 11, 14, ?

1) 14

2) 19

3) 17

4) 20

104 / 130

104. For a process, ΔH = -114 kJ/mol and ΔS = -173 J/mol·K. At T = 313 K, ΔG is

1) -168.1 kJ/mol

2) -113.8 kJ/mol

3) -113827.0 kJ/mol

4) -59.9 kJ/mol

105 / 130

105. The area of a circle of radius 7 units is

1) 49.00

2) 21.99

3) 43.98

4) 153.94

106 / 130

106. Choose the best fit: The results were ____ unexpected that everyone was speechless.

1) too

2) very

3) so

4) such

107 / 130

107. Choose the antonym of ‘concise’:

1) brief

2) terse

3) verbose

4) succinct

108 / 130

108. The determinant of [[-4,-1],[3,-3]] is

1) -5

2) 9

3) -15

4) 15

109 / 130

109. The determinant of [[-3,-1],[-3,0]] is

1) -3

2) -7

3) 9

4) 3

110 / 130

110. For the line y = 0x + 1, the y-coordinate when x = 2 is

1) Option 4

2) -1

3) 1

4) 2

111 / 130

111. For vectors a=(-2,0) and b=(1,0), the dot product a·b is

1) -1

2) -2

3) Option 4

4) 0

112 / 130

112. Find the next number in the series: 4, 10, 16, 22, ?

1) 22

2) 34

3) 28

4) 26

113 / 130

113. A particle moves in a circle of radius 15 m with constant speed 10 m/s. Its centripetal acceleration is

1) 0.15 m/s²

2) 1500.00 m/s²

3) 6.67 m/s²

4) 0.67 m/s²

114 / 130

114. Tollens’ reagent gives a silver mirror test with

1) Aldehydes

2) Ethers

3) Ketones

4) Alkanes

115 / 130

115. Two capacitors of 5 μF and 2 μF are connected in series. The equivalent capacitance is

1) 7.00 μF

2) 5.00 μF

3) 1.43 μF

4) 10.00 μF

116 / 130

116. The number of permutations of 8 distinct objects taken 2 at a time is

1) 28

2) 64

3) 40320

4) 56

117 / 130

117. A mass 5 kg is projected vertically upward with speed 6 m/s. Neglect air resistance. The speed when it comes down after falling through height 19 m from the topmost point is

1) 0.00 m/s

2) 366.40 m/s

3) 378.40 m/s

4) 20.21 m/s

118 / 130

118. A mass-spring system has mass 5 kg and spring constant 361 N/m. The time period of small oscillations is

1) 0.37 s

2) 266.94 s

3) 53.39 s

4) 0.74 s

119 / 130

119. The derivative of x^4 with respect to x is

1) 4x^3

2) 4x^4

3) 3x^4

4) x^3

120 / 130

120. Doctor : Hospital :: Teacher : ?

1) Cage

2) School

3) Home

4) Forest

121 / 130

121. Light of wavelength 250 nm falls on a metal of work function 2.5 eV. Maximum kinetic energy of emitted photoelectrons is

1) 4.96 eV

2) 7.46 eV

3) 2.46 eV

4) -2.46 eV

122 / 130

122. Addition of HBr to propene in the presence of peroxides gives mainly

1) 1-bromopropane (anti-Markovnikov)

2) 2-bromopropane (Markovnikov)

3) Propane

4) 1-chloropropane

123 / 130

123. From a point on level ground, the angle of elevation of the top of a tower is 45°. If the tower is 30 m high, the distance of the point from the base is

1) 21.21 m

2) Option 4

3) Option 3

4) 30.00 m

124 / 130

124. A solution has pH = 5. The hydrogen ion concentration [H⁺] is

1) 5.0e+00 M

2) 1.0e-05 M

3) 1.0e+05 M

4) 1.0e-09 M

125 / 130

125. The domain of f(x)=√(x−3) is

1) All real x

2) x ≤ 3

3) x > 3

4) x ≥ 3

126 / 130

126. If z = 2 + i4, then |z| equals

1) 6.00

2) 2.00

3) 20.00

4) 4.47

127 / 130

127. 2 mol of an ideal monatomic gas is heated at constant volume by 54 K. The change in internal energy is

1) 1346.9 J

2) 2244.8 J

3) 897.9 J

4) 449.0 J

128 / 130

128. Identify the correct passive voice: ‘They will complete the project.’

1) The project will be completed by them.

2) The project is completed by them.

3) The project was completed by them.

4) The project will complete by them.

129 / 130

129. The area of a circle of radius 6 units is

1) 36.00

2) 18.85

3) 113.10

4) 37.70

130 / 130

130. One-word substitution: ‘A person who speaks many languages’ is a

1) polyglot

2) omnivore

3) pessimist

4) monologue

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