BITSAT TYPE 1 – Start Exam

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1 / 130

1. 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) 366.40 m/s

2) 20.21 m/s

3) 378.40 m/s

4) 0.00 m/s

2 / 130

2. The domain of f(x)=√(x−3) is

1) x > 3

2) x ≥ 3

3) x ≤ 3

4) All real x

3 / 130

3. 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) 632.19 V

2) 24.76 V

3) 0.13 V

4) 0.28 V

4 / 130

4. 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) 0.00 m/s

4) 14.19 m/s

5 / 130

5. A characteristic property of transition metals is

1) Always colorless compounds

2) Variable oxidation states

3) Low melting points

4) No complex formation

6 / 130

6. 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

7 / 130

7. 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

8 / 130

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

1) 1.0e-02 M

2) 1.0e+02 M

3) 1.0e-12 M

4) 2.0e+00 M

9 / 130

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

1) 0

2) 3

3) 2

4) 6

10 / 130

10. 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) 0.00 mm

3) Option 3

4) Option 4

11 / 130

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

1) 2

2) -1

3) Option 4

4) 1

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12. 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) PDS

3) QET

4) PAM

13 / 130

13. 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

14 / 130

14. 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) Option 3

2) 21.21 m

3) Option 4

4) 30.00 m

15 / 130

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

1) 3024

2) 6561

3) 126

4) 362880

16 / 130

16. 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) 0.83 m/s²

3) 0.24 m/s²

4) 4.17 m/s²

17 / 130

17. Author : Book :: Painter : ?

1) Forest

2) Canvas

3) Cage

4) Home

18 / 130

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

1) 10.00 μF

2) 1.43 μF

3) 5.00 μF

4) 7.00 μF

19 / 130

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

1) 2

2) 1

3) 4

4) 6

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

1) 0

2) 3

3) -5

4) -1

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21. Phenol is more acidic than ethanol primarily because

1) Phenol has no H atom

2) Ethanol forms stronger H-bonds

3) Phenol has higher molecular mass

4) Phenoxide ion is resonance stabilized

22 / 130

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

1) 17

2) 25

3) 22

4) 21

23 / 130

23. 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) 318 Hz

4) 323 Hz

24 / 130

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

1) 360

2) 1296

3) 15

4) 720

25 / 130

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

1) am

2) were

3) be

4) was

26 / 130

26. ∫ x^4 dx equals

1) x^5/5 + C

2) x^3/3 + C

3) ln x + C

4) 4x^3 + C

27 / 130

27. 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) GEX

3) ECV

4) FDW

28 / 130

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

1) 52

2) 58

3) 153

4) 450

29 / 130

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

1) 1-bromopropane (anti-Markovnikov)

2) Propane

3) 1-chloropropane

4) 2-bromopropane (Markovnikov)

30 / 130

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

1) 1470.000 mol

2) 6.533 mol

3) 0.153 mol

4) 9.217e+22 mol

31 / 130

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

1) 34

2) 59

3) 168

4) 28

32 / 130

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

1) 11.00

2) 55

3) Option 4

4) 13

33 / 130

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

1) Hexamethylenediamine and adipic acid

2) Ethene monomers

3) Glucose units

4) Vinyl chloride monomers

34 / 130

34. Choose the correct sentence:

1) Neither of the answer is correct.

2) Neither of the answers were correct.

3) Neither of the answers are correct.

4) Neither of the answers is correct.

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

1) 49.00

2) 153.94

3) 43.98

4) 21.99

36 / 130

36. 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) 2909.9 J

3) 1164.0 J

4) 1745.9 J

37 / 130

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

1) 2.50 L

2) Option 4

3) 10.00 L

4) 7.00 L

38 / 130

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

1) 3x^2

2) 3x^3

3) 2x^3

4) x^2

39 / 130

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

1) 2.00 km

2) 7.21 km

3) 10.00 km

4) 52.00 km

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 CAR?

1) RAC

2) ECT

3) GEV

4) FDU

41 / 130

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

1) NaOH(aq)

2) PCC

3) LiAlH₄

4) KMnO₄ (hot, acidic)

42 / 130

42. 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

43 / 130

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

1) DBS

2) RAC

3) CAR

4) ECT

44 / 130

44. The value of sin²θ + cos²θ equals

1) cos 2θ

2) 1

3) sin 2θ

4) 0

45 / 130

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

1) 2.83 A

2) 1.89 A

3) 4.72 A

4) 1.13 A

46 / 130

46. ∫ x^2 dx equals

1) ln x + C

2) x^1/1 + C

3) 2x^1 + C

4) x^3/3 + C

47 / 130

47. 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) 50 m

2) 52.0 m

3) 52 m

4) 54 m

48 / 130

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

1) 2.00 L

2) 8.00 L

3) Option 4

4) 4.00 L

49 / 130

49. 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) 16.00 N·m

2) 1.00 N·m

3) 64.00 N·m

4) Option 4

50 / 130

50. 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) 0.00 km

4) 10.00 km

51 / 130

51. 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) 5.62e+06 N/C

2) 2.25e+05 N/C

3) 1.12e+06 N/C

4) 1.80e+03 N/C

52 / 130

52. 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) -168.0 kJ/mol

3) -179.9 kJ/mol

4) -156.1 kJ/mol

53 / 130

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

1) 1/2

2) 1/6

3) Option 4

4) 5/6

54 / 130

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

1) 15.00

2) 11.00

3) 55

4) 13

55 / 130

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

1) -122.40 eV

2) -1.51 eV

3) 1.51 eV

4) -4.53 eV

56 / 130

56. 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) Option 4

2) 3.33e-12 N

3) 1.20e+00 N

4) Option 3

57 / 130

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

1) 9

2) 12

3) -18

4) 14

58 / 130

58. 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) Option 4

2) 5.00 N·m

3) 25.00 N·m

4) 0.20 N·m

59 / 130

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

1) 5.0e+00 M

2) 1.0e-09 M

3) 1.0e+05 M

4) 1.0e-05 M

60 / 130

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

1) -7

2) -3

3) 9

4) 3

61 / 130

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

1) -1

2) -11

3) -3

4) 7

62 / 130

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

1) 0.462 mol

2) 2.167 mol

3) 702.000 mol

4) 1.305e+24 mol

63 / 130

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

1) 28

2) 34

3) 26

4) 22

64 / 130

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

1) 14

2) 20

3) 19

4) 17

65 / 130

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

1) 125.03 s

2) 31.26 s

3) 1.26 s

4) 0.63 s

66 / 130

66. Choose the antonym of ‘concise’:

1) terse

2) brief

3) succinct

4) verbose

67 / 130

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

1) -5

2) 9

3) 15

4) -15

68 / 130

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

1) Option 4

2) 15

3) 18

4) 21

69 / 130

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

1) Option 4

2) 1

3) -3

4) -21

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

1) 12

2) 11.80

3) 15.00

4) 59

71 / 130

71. Oxidation is defined as

1) Gain of electrons

2) Gain of protons

3) Loss of electrons

4) Loss of neutrons

72 / 130

72. Choose the synonym of ‘abundant’:

1) vague

2) scarce

3) plentiful

4) fragile

73 / 130

73. Tollens’ reagent gives a silver mirror test with

1) Ketones

2) Aldehydes

3) Ethers

4) Alkanes

74 / 130

74. 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) -40.0 cm

2) -8.0 cm

3) 8.0 cm

4) 10.0 cm

75 / 130

75. 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) 34.06 m

2) 51.10 m

3) 102.19 m

4) 29.50 m

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) 58 m

2) 42 m

3) 50.0 m

4) 50 m

77 / 130

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

1) Structural isomers

2) Optical isomers

3) Geometrical isomers

4) Conformers only

78 / 130

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

1) 252

2) 67

3) 41

4) 33

79 / 130

79. ∫ x^5 dx equals

1) x^4/4 + C

2) ln x + C

3) 5x^4 + C

4) x^6/6 + C

80 / 130

80. 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

81 / 130

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

1) Option 4

2) 0 and -5

3) 0 and 5

4) 5 and -5

82 / 130

82. In VSEPR theory, the shape of NH₃ is

1) Linear

2) Tetrahedral

3) Trigonal pyramidal

4) Trigonal planar

83 / 130

83. Bird : Nest :: Bee : ?

1) Cage

2) Forest

3) Home

4) Hive

84 / 130

84. Choose the correctly spelled word:

1) acommodate

2) accomodate

3) accommodate

4) accommadate

85 / 130

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

1) x^3

2) 3x^4

3) 4x^4

4) 4x^3

86 / 130

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

1) 4.00

2) 12.57

3) 6.28

4) Option 4

87 / 130

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

1) 6.00

2) 4.47

3) 20.00

4) 2.00

88 / 130

88. 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) 4.38 m/s

2) 2.62 m/s

3) 7.00 m/s

4) 11.67 m/s

89 / 130

89. 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) 2.78 m/s

2) 6.25 m/s

3) 5.00 m/s

4) 2.22 m/s

90 / 130

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

1) 0

2) Option 4

3) -1

4) -2

91 / 130

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

1) in

2) at

3) on

4) for

92 / 130

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

1) such

2) too

3) so

4) very

93 / 130

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

1) -0.0 kJ/mol

2) 289.5 kJ/mol

3) -144.7 kJ/mol

4) -289.5 kJ/mol

94 / 130

94. 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) 7.24 m/s²

4) 7.83 m/s²

95 / 130

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

1) 22

2) 27

3) 19

4) 17

96 / 130

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

1) Increases

2) Decreases

3) Remains constant

4) Becomes zero

97 / 130

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

1) 36.00

2) 37.70

3) 18.85

4) 113.10

98 / 130

98. 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) 22.52 m

2) 15.01 m

3) 45.03 m

4) 13.00 m

99 / 130

99. 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) 7.46 eV

3) 4.96 eV

4) -2.46 eV

100 / 130

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

1) Dialysis

2) Osmosis

3) Tyndall effect

4) Brownian motion

101 / 130

101. 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) 0.67 m/s²

3) 1500.00 m/s²

4) 6.67 m/s²

102 / 130

102. The IUPAC name of CH₃–CH₂–OH is

1) Ethanol

2) Methanol

3) Propanol

4) Ethanal

103 / 130

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

1) Double the original

2) Half of the original

3) Unchanged

4) Four times the original

104 / 130

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

1) 3.00 km

2) 8.06 km

3) 65.00 km

4) 11.00 km

105 / 130

105. 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 is negative

4) Kc = 0

106 / 130

106. 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

107 / 130

107. Key : Lock :: Password : ?

1) Home

2) Account

3) Forest

4) Cage

108 / 130

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

1) 4

2) 6

3) 2

4) 8

109 / 130

109. 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) -4.05 m/s²

3) 4.90 m/s²

4) 5.75 m/s²

110 / 130

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

1) 7

2) 9

3) 11

4) 8

111 / 130

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

1) dsp²

2) sp

3) sp³

4) sp²

112 / 130

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

1) 1.0e+03 M

2) 1.1e+01 M

3) 1.0e-11 M

4) 1.0e-03 M

113 / 130

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

1) polyglot

2) pessimist

3) monologue

4) omnivore

114 / 130

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

1) 4.47

2) 20.00

3) 6.00

4) 2.00

115 / 130

115. 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) -113827.0 kJ/mol

3) -113.8 kJ/mol

4) -59.9 kJ/mol

116 / 130

116. 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 II follows

2) Neither I nor II follows

3) Both I and II follow

4) Only I follows

117 / 130

117. 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

118 / 130

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

1) 5x^6

2) 6x^5

3) 6x^6

4) x^5

119 / 130

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

1) 28

2) 64

3) 40320

4) 56

120 / 130

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

1) The project will complete by them.

2) The project was completed by them.

3) The project is completed by them.

4) The project will be completed by them.

121 / 130

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

1) LED

2) p-n junction diode (forward bias)

3) Zener diode

4) Photodiode

122 / 130

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

1) -1 and -5

2) 5 and -6

3) 1 and 5

4) -6 and 4

123 / 130

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

1) 25.00

2) 7.00

3) 5.00

4) 1.00

124 / 130

124. Doctor : Hospital :: Teacher : ?

1) Forest

2) School

3) Home

4) Cage

125 / 130

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

1) Remains the same

2) Increases

3) First increases then decreases

4) Decreases

126 / 130

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

1) 0.74 s

2) 53.39 s

3) 0.37 s

4) 266.94 s

127 / 130

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

1) 25.00 km

2) 1.00 km

3) 7.00 km

4) 5.00 km

128 / 130

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

1) 4 and 5

2) -1 and -4

3) 5 and -3

4) 1 and 4

129 / 130

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

1) by

2) from

3) for

4) since

130 / 130

130. 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) 292 Hz

2) 284 Hz

3) 209 Hz

4) 204 Hz

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