BITSAT TYPE 1 – Start Exam

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1 / 130

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

1) -1

2) 3

3) 0

4) -5

2 / 130

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

1) Propane

2) 2-bromopropane (Markovnikov)

3) 1-bromopropane (anti-Markovnikov)

4) 1-chloropropane

3 / 130

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

1) 1.89 A

2) 4.72 A

3) 2.83 A

4) 1.13 A

4 / 130

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

1) 1/2

2) 1/6

3) 5/6

4) Option 4

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

1) Conformers only

2) Geometrical isomers

3) Optical isomers

4) Structural isomers

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

1) 1.1e+01 M

2) 1.0e-11 M

3) 1.0e+03 M

4) 1.0e-03 M

7 / 130

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

1) by

2) from

3) for

4) since

8 / 130

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

1) 55

2) 11.00

3) Option 4

4) 13

9 / 130

9. Phenol is more acidic than ethanol primarily because

1) Phenol has no H atom

2) Phenoxide ion is resonance stabilized

3) Phenol has higher molecular mass

4) Ethanol forms stronger H-bonds

10 / 130

10. In VSEPR theory, the shape of NH₃ is

1) Trigonal pyramidal

2) Tetrahedral

3) Trigonal planar

4) Linear

11 / 130

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

1) 6.67 m/s²

2) 0.15 m/s²

3) 0.67 m/s²

4) 1500.00 m/s²

12 / 130

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

1) All inputs are 1

2) All inputs are 0

3) Any one input is 0

4) Any one input is 1

13 / 130

13. 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) DBS

3) ECT

4) CAR

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14. The domain of f(x)=√(x−3) is

1) x ≥ 3

2) x ≤ 3

3) All real x

4) x > 3

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

1) 20.00 L

2) 7.00 L

3) Option 4

4) 5.00 L

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

1) 3.00 km

2) 11.00 km

3) 8.06 km

4) 65.00 km

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

1) Four times the original

2) Unchanged

3) Half of the original

4) Double the original

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

1) 10.00 km

2) 7.21 km

3) 2.00 km

4) 52.00 km

19 / 130

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

1) 17

2) 27

3) 22

4) 19

20 / 130

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

1) polyglot

2) monologue

3) pessimist

4) omnivore

21 / 130

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

1) -5

2) 9

3) 15

4) -15

22 / 130

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

1) 2

2) 6

3) 4

4) 1

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

1) 56

2) 28

3) 64

4) 40320

24 / 130

24. 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) 8.0 cm

2) -40.0 cm

3) 10.0 cm

4) -8.0 cm

25 / 130

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

1) QET

2) OCR

3) PDS

4) PAM

26 / 130

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

1) 59

2) 11.80

3) 15.00

4) 12

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

1) 1.00 km

2) 7.00 km

3) 5.00 km

4) 25.00 km

28 / 130

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

1) Increases

2) Becomes zero

3) Decreases

4) Remains constant

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

1) 1.51 eV

2) -4.53 eV

3) -1.51 eV

4) -122.40 eV

30 / 130

30. 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) 0.13 V

2) 0.28 V

3) 24.76 V

4) 632.19 V

31 / 130

31. Choose the synonym of ‘abundant’:

1) vague

2) fragile

3) scarce

4) plentiful

32 / 130

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

1) 2.00

2) 6.00

3) 4.47

4) 20.00

33 / 130

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

1) 3x^3

2) x^2

3) 3x^2

4) 2x^3

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34. 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+02 N/C

2) 1.80e+07 N/C

3) 1.80e+06 N/C

4) 1.80e+05 N/C

35 / 130

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

1) 9.217e+22 mol

2) 0.153 mol

3) 1470.000 mol

4) 6.533 mol

36 / 130

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

1) 58

2) 153

3) 52

4) 450

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37. 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) 30.00 m

2) Option 4

3) Option 3

4) 21.21 m

38 / 130

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

1) 15.00

2) 13

3) 11.00

4) 55

39 / 130

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

1) 5.00

2) 25.00

3) 7.00

4) 1.00

40 / 130

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

1) 150.00 m/s²

2) 0.24 m/s²

3) 4.17 m/s²

4) 0.83 m/s²

41 / 130

41. 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

42 / 130

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

1) 0.00 km

2) 10.00 km

3) 50.00 km

4) 7.07 km

43 / 130

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

1) 5.00 μF

2) 1.43 μF

3) 7.00 μF

4) 10.00 μF

44 / 130

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

1) Option 4

2) 12.57

3) 6.28

4) 4.00

45 / 130

45. 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) 1.20e+00 N

2) 3.33e-12 N

3) Option 3

4) Option 4

46 / 130

46. 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) 318 Hz

2) 323 Hz

3) 419 Hz

4) 412 Hz

47 / 130

47. ∫ x^4 dx equals

1) 4x^3 + C

2) x^3/3 + C

3) x^5/5 + C

4) ln x + C

48 / 130

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

1) 3024

2) 362880

3) 126

4) 6561

49 / 130

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

1) 7

2) 11

3) 8

4) 9

50 / 130

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

1) sp

2) sp³

3) dsp²

4) sp²

51 / 130

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

1) Zener diode

2) LED

3) Photodiode

4) p-n junction diode (forward bias)

52 / 130

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

1) -113827.0 kJ/mol

2) -168.1 kJ/mol

3) -113.8 kJ/mol

4) -59.9 kJ/mol

53 / 130

53. Key : Lock :: Password : ?

1) Forest

2) Account

3) Cage

4) Home

54 / 130

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

1) 266.94 s

2) 0.37 s

3) 53.39 s

4) 0.74 s

55 / 130

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

1) 17

2) 22

3) 21

4) 25

56 / 130

56. The IUPAC name of CH₃–CH₂–OH is

1) Ethanol

2) Propanol

3) Methanol

4) Ethanal

57 / 130

57. Tollens’ reagent gives a silver mirror test with

1) Ketones

2) Ethers

3) Aldehydes

4) Alkanes

58 / 130

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

1) 34

2) 168

3) 59

4) 28

59 / 130

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

1) -2.46 eV

2) 4.96 eV

3) 2.46 eV

4) 7.46 eV

60 / 130

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

1) Option 4

2) 5 and -5

3) 0 and -5

4) 0 and 5

61 / 130

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

1) 1.0e+05 M

2) 1.0e-09 M

3) 1.0e-05 M

4) 5.0e+00 M

62 / 130

62. 2 mol of an ideal monatomic gas is heated at constant volume by 70 K. The change in internal energy is

1) 582.0 J

2) 1745.9 J

3) 1164.0 J

4) 2909.9 J

63 / 130

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

1) Option 4

2) 10.00 L

3) 2.50 L

4) 7.00 L

64 / 130

64. 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) Both I and II follow

2) Only I follows

3) Only II follows

4) Neither I nor II follows

65 / 130

65. Choose the correctly spelled word:

1) accomodate

2) acommodate

3) accommadate

4) accommodate

66 / 130

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

1) 15

2) 1296

3) 720

4) 360

67 / 130

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

1) on

2) in

3) at

4) for

68 / 130

68. Choose the correct sentence:

1) Neither of the answers is correct.

2) Neither of the answer is correct.

3) Neither of the answers are correct.

4) Neither of the answers were correct.

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

1) 3x^4

2) 4x^3

3) x^3

4) 4x^4

70 / 130

70. ∫ x^5 dx equals

1) 5x^4 + C

2) x^4/4 + C

3) x^6/6 + C

4) ln x + C

71 / 130

71. The value of sin²θ + cos²θ equals

1) 1

2) 0

3) sin 2θ

4) cos 2θ

72 / 130

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

1) Option 4

2) -21

3) -3

4) 1

73 / 130

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

1) TAC

2) ECV

3) FDW

4) GEX

74 / 130

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

1) 36.00

2) 37.70

3) 113.10

4) 18.85

75 / 130

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

1) 252

2) 41

3) 33

4) 67

76 / 130

76. 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) 42 m

2) 58 m

3) 50.0 m

4) 50 m

77 / 130

77. 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) Option 4

2) 64.00 N·m

3) 1.00 N·m

4) 16.00 N·m

78 / 130

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

1) 15

2) 21

3) Option 4

4) 18

79 / 130

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

1) 21.99

2) 153.94

3) 43.98

4) 49.00

80 / 130

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

1) such

2) so

3) too

4) very

81 / 130

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

1) -144.7 kJ/mol

2) 144.7 kJ/mol

3) Option 4

4) -0.0 kJ/mol

82 / 130

82. 2 mol of an ideal monatomic gas is heated at constant volume by 54 K. The change in internal energy is

1) 2244.8 J

2) 449.0 J

3) 897.9 J

4) 1346.9 J

83 / 130

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

1) 6

2) 4

3) 2

4) 8

84 / 130

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

1) 1.26 s

2) 0.63 s

3) 125.03 s

4) 31.26 s

85 / 130

85. 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) 209 Hz

2) 204 Hz

3) 284 Hz

4) 292 Hz

86 / 130

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

1) were

2) am

3) was

4) be

87 / 130

87. Choose the antonym of ‘concise’:

1) succinct

2) verbose

3) terse

4) brief

88 / 130

88. Doctor : Hospital :: Teacher : ?

1) Cage

2) Forest

3) School

4) Home

89 / 130

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

1) 2

2) 0

3) 6

4) 3

90 / 130

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

1) -5 and 3

2) 5 and -3

3) -15 and -2

4) -2 and -8

91 / 130

91. 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) 1.80e+03 N/C

2) 5.62e+06 N/C

3) 1.12e+06 N/C

4) 2.25e+05 N/C

92 / 130

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

1) 20

2) 17

3) 14

4) 19

93 / 130

93. 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) 2.62 m/s

2) 4.38 m/s

3) 11.67 m/s

4) 7.00 m/s

94 / 130

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

1) -156.1 kJ/mol

2) -168.0 kJ/mol

3) -167968.0 kJ/mol

4) -179.9 kJ/mol

95 / 130

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

1) 28

2) 26

3) 22

4) 34

96 / 130

96. 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) HFW

4) FDU

97 / 130

97. 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) 0.20 N·m

2) Option 4

3) 25.00 N·m

4) 5.00 N·m

98 / 130

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

1) First increases then decreases

2) Remains the same

3) Decreases

4) Increases

99 / 130

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

1) Kc > 1

2) Kc < 1

3) Kc = 0

4) Kc is negative

100 / 130

100. ∫ x^2 dx equals

1) x^3/3 + C

2) 2x^1 + C

3) x^1/1 + C

4) ln x + C

101 / 130

101. Oxidation is defined as

1) Gain of protons

2) Gain of electrons

3) Loss of neutrons

4) Loss of electrons

102 / 130

102. 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) 4.90 m/s²

2) 4.05 m/s²

3) -4.05 m/s²

4) 5.75 m/s²

103 / 130

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

1) 702.000 mol

2) 1.305e+24 mol

3) 2.167 mol

4) 0.462 mol

104 / 130

104. Bird : Nest :: Bee : ?

1) Hive

2) Cage

3) Forest

4) Home

105 / 130

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

1) x^5

2) 6x^6

3) 5x^6

4) 6x^5

106 / 130

106. 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 m

2) 54 m

3) 52.0 m

4) 50 m

107 / 130

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

1) ECT

2) GEV

3) RAC

4) FDU

108 / 130

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

1) PCC

2) KMnO₄ (hot, acidic)

3) NaOH(aq)

4) LiAlH₄

109 / 130

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

1) -6 and 4

2) -1 and -5

3) 1 and 5

4) 5 and -6

110 / 130

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

1) -7

2) 9

3) 3

4) -3

111 / 130

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

1) 9

2) -18

3) 14

4) 12

112 / 130

112. 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) -289.5 kJ/mol

3) -144.7 kJ/mol

4) -0.0 kJ/mol

113 / 130

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

1) 4.00 L

2) Option 4

3) 2.00 L

4) 8.00 L

114 / 130

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

1) 2.0e+00 M

2) 1.0e-12 M

3) 1.0e+02 M

4) 1.0e-02 M

115 / 130

115. 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) Option 3

2) 3.00 mm

3) 0.00 mm

4) Option 4

116 / 130

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

1) 1 and 4

2) 5 and -3

3) 4 and 5

4) -1 and -4

117 / 130

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

1) The project was completed by them.

2) The project will be completed by them.

3) The project is completed by them.

4) The project will complete by them.

118 / 130

118. Author : Book :: Painter : ?

1) Forest

2) Cage

3) Home

4) Canvas

119 / 130

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

1) 4.47

2) 2.00

3) 20.00

4) 6.00

120 / 130

120. 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) 2.22 m/s

2) 5.00 m/s

3) 6.25 m/s

4) 2.78 m/s

121 / 130

121. 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) 51.10 m

2) 102.19 m

3) 34.06 m

4) 29.50 m

122 / 130

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

1) Ethene monomers

2) Glucose units

3) Vinyl chloride monomers

4) Hexamethylenediamine and adipic acid

123 / 130

123. 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) 8.42 m/s²

2) 7.24 m/s²

3) 7.83 m/s²

4) -7.24 m/s²

124 / 130

124. A characteristic property of transition metals is

1) Low melting points

2) Always colorless compounds

3) No complex formation

4) Variable oxidation states

125 / 130

125. 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) 0.00 m/s

3) 14.19 m/s

4) 181.40 m/s

126 / 130

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

1) -1

2) Option 4

3) 0

4) -2

127 / 130

127. 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) 45.03 m

3) 13.00 m

4) 22.52 m

128 / 130

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

1) 2

2) 1

3) -1

4) Option 4

129 / 130

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

1) Dialysis

2) Brownian motion

3) Osmosis

4) Tyndall effect

130 / 130

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

1) -11

2) -1

3) -3

4) 7

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