JEE MAINS TYPE 3 – Start Exam

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JEE MAINS TYPE 3

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1 / 75

1. Work done by a constant force 10 N in displacing 3 m along the force is

1) 7 J

2) 300 J

3) 30 J

4) 13 J

2 / 75

2. The energy of a photon is given by

1) hc

2) fc

3) hf

4) h/f

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3. Oxidation state of O in H2O2 is

4 / 75

4. A projectile is launched at angle θ with speed u. Time of flight is proportional to

1) sec θ

2) tan θ

3) sin θ

4) cos θ

5 / 75

5. If 3x−7=20, find x.

6 / 75

6. Determinant of [[2,3],[4,5]] equals

1) 2

2) -1

3) -2

4) -4

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7. For an ideal gas, PV is proportional to

1) Mass

2) Pressure

3) Volume

4) Temperature

8 / 75

8. If f(x)=2x+1, then f^{-1}(5) equals

1) 1

2) 3

3) 4

4) 2

9 / 75

9. Moment of force is also known as

1) Torque

2) Impulse

3) Energy

4) Power

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10. For uniform circular motion, acceleration is directed

1) Along velocity

2) Zero

3) Towards the center

4) Away from center

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11. IUPAC name of CH3-CH2-CHO is

1) Ethanal

2) Propanol

3) Propanal

4) Propanone

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12. A force of 12 N acts on mass 3 kg. Find acceleration (m/s^2).

13 / 75

13. lim_{x→0} (sin 5x)/(x) equals

1) 0

2) 10

3) 1

4) 5

14 / 75

14. For parabola y^2 = 4ax, the focus is

1) (a,0)

2) (0,a)

3) (0,−a)

4) (−a,0)

15 / 75

15. The major product of hydration of ethene is

1) Ethanol

2) Ethanoic acid

3) Ethane

4) Ethanal

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16. In periodic table, atomic radius generally decreases across a period because

1) Valence electrons decrease

2) Effective nuclear charge increases

3) Mass increases

4) Shielding increases

17 / 75

17. Hybridization of carbon in ethyne (C2H2) is

1) sp

2) sp3

3) dsp2

4) sp2

18 / 75

18. Oxidation state of Mn in KMnO4 is

1) +4

2) +7

3) +6

4) +2

19 / 75

19. If a_n = 3n+2, then a_10 equals

1) 30

2) 35

3) 32

4) 28

20 / 75

20. Which is a strong electrolyte?

1) Glucose

2) NaCl

3) Urea

4) Sucrose

21 / 75

21. Number of neutrons in 23Na (atomic number 11) is

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22. SI unit of power is

1) Watt

2) Pascal

3) Newton

4) Joule

23 / 75

23. Which compound shows cis-trans isomerism?

1) CH3-CH2-OH

2) CH4

3) CHCl=CHCl

4) CH3-CH3

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24. If a·b=0, then vectors a and b are

1) Parallel

2) Perpendicular

3) Equal

4) Collinear but opposite

25 / 75

25. Unit of rate constant for second order reaction is

1) s^-1

2) mol L^-1 s^-1

3) dimensionless

4) L mol^-1 s^-1

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26. General solution of dy/dx = 3x^2 is

1) y = 3x + C

2) y = 3x^3 + C

3) y = x^2 + C

4) y = x^3 + C

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27. If frequency of a wave increases while speed stays same, wavelength

1) Increases

2) Decreases

3) Remains same

4) Becomes zero always

28 / 75

28. A 5 Ω resistor is connected to 10 V. Find current (in A).

29 / 75

29. Mean of numbers 4, 7, 10, 13 is

1) 8

2) 8.5

3) 9

4) 10.5

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30. If n(A)=8 and n(B)=11 with n(A∩B)=3, then n(A∪B) equals

1) 18

2) 22

3) 16

4) 14

31 / 75

31. Magnetic field at the center of a circular current loop increases if

1) Number of turns decreases

2) Current increases

3) Radius increases

4) Current decreases

32 / 75

32. Equation of circle centered at (1,−2) with radius 3 is

1) (x−1)^2 + (y+2)^2 = 9

2) x^2+y^2=9

3) (x−1)^2 + (y−2)^2 = 3

4) (x+1)^2 + (y−2)^2 = 9

33 / 75

33. Which is the correct order of bond length?

1) Triple > Double > Single

2) Single > Double > Triple

3) Double > Single > Triple

4) All equal

34 / 75

34. A convex lens forms a real image of an object placed beyond focus. The image is formed

1) On same side always

2) No image formed

3) On the opposite side of lens

4) At focus always

35 / 75

35. Photoelectric effect supports the concept of

1) Wave nature only

2) Newton's laws

3) Photon nature of light

4) Sound waves

36 / 75

36. If 0.5 mol of NaCl is dissolved to make 1 L solution, find molarity.

37 / 75

37. A diode allows current mainly in

1) One direction

2) No direction

3) Both directions equally

4) Only AC

38 / 75

38. Value of (1+tan^2θ) equals

1) cosec^2θ

2) cos^2θ

3) 1−tan^2θ

4) sec^2θ

39 / 75

39. If the arithmetic mean of 5 numbers is 18, find their sum.

40 / 75

40. AlCl3 acts as a Lewis acid because it

1) Donates an electron pair

2) Accepts OH-

3) Donates H+

4) Accepts an electron pair

41 / 75

41. Number of ways to choose 3 students from 10 is

1) 120

2) 720

3) 210

4) 60

42 / 75

42. Inelastic collision conserves

1) Neither

2) Kinetic energy

3) Both momentum and KE

4) Momentum

43 / 75

43. Slope of the line passing through (2,3) and (6,11) is

1) 1

2) 2

3) 3

4) 4

44 / 75

44. A charge of 2 C is moved through potential difference 6 V. Find work done (J).

45 / 75

45. Which is NOT a transition element?

1) Zn

2) Cu

3) Ni

4) Fe

46 / 75

46. A lens has focal length 20 cm. Find its power (in dioptres). (Use f in metres)

47 / 75

47. Find the value of C(9,2).

48 / 75

48. Dimensional formula of electric potential (volt) is

1) M^0L^2T^-3A^-1

2) MLT^-2

3) ML^2T^-3A^-1

4) ML^2T^-2

49 / 75

49. If y = x^2 * e^x, then dy/dx equals

1) e^x(x^2+2x)

2) e^x(2x)

3) e^x(x^2−2x)

4) x^2 e^x

50 / 75

50. pH of 1×10^-2 M HCl is

1) 2

2) 1

3) 12

4) 7

51 / 75

51. For reaction A→Products, if rate = k[A], order is

1) Third order

2) Zero order

3) First order

4) Second order

52 / 75

52. Bond angle in NH3 is approximately

1) 180°

2) 120°

3) 90°

4) 107°

53 / 75

53. Coefficient of x^3 in (1+x)^7 is

1) 28

2) 35

3) 21

4) 70

54 / 75

54. Distance between points (1,2,3) and (4,6,3) equals

1) 5

2) 7

3) 4

4) 6

55 / 75

55. If V=IR, then current in a 4 Ω resistor with 12 V across it is

1) 3 A

2) 0.33 A

3) 48 A

4) 16 A

56 / 75

56. Molarity of pure water is approximately

1) 18

2) 1

3) 1000

4) 55.5

57 / 75

57. If a body starts from rest and moves with acceleration 4 m/s^2 for 5 s, its speed is

1) 20 m/s

2) 25 m/s

3) 10 m/s

4) 40 m/s

58 / 75

58. Evaluate: 8! / (6!)

59 / 75

59. In galvanic cell, oxidation occurs at

1) Anode

2) Salt bridge

3) Cathode

4) Electrolyte

60 / 75

60. The gas that turns lime water milky is

1) N2

2) O2

3) CO2

4) H2

61 / 75

61. The force on a charge q in electric field E is

1) E/q

2) q+E

3) q/E

4) qE

62 / 75

62. ∫ 2x/(1+x^2) dx equals

1) ln(1+x^2)+C

2) arctan x + C

3) 2ln(1+x^2)+C

4) 1/(1+x^2)+C

63 / 75

63. Let z=1−2i. Then |z|² equals

1) 3

2) 5

3) 4

4) 9

64 / 75

64. Which of the following is an example of a coordination compound?

1) H2O

2) CH4

3) [Co(NH3)6]Cl3

4) NaCl

65 / 75

65. A body travels 60 m in 5 s with constant speed. Find speed (m/s).

66 / 75

66. For ideal gas, PV=nRT. If n=1 mol, T=300 K, R=0.082 L·atm/mol·K, find PV (in L·atm).

67 / 75

67. Hess’s law is based on the fact that enthalpy is a

1) Intensive only

2) Vector quantity

3) Path function

4) State function

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68. A 2 Ω and 3 Ω resistors are in series. Equivalent resistance is

1) 5 Ω

2) 6 Ω

3) 1.2 Ω

4) 0.5 Ω

69 / 75

69. If a circle has radius 7, find its diameter.

70 / 75

70. Probability of getting sum 7 when two fair dice are thrown is

1) 1/3

2) 1/9

3) 1/12

4) 1/6

71 / 75

71. The quadratic x²−6x+9=0 has

1) Two distinct real roots

2) Two equal real roots

3) No real roots

4) Two distinct complex roots

72 / 75

72. Which reagent distinguishes aldehyde from ketone?

1) Conc. H2SO4

2) Tollens’ reagent

3) NaCl

4) H2O

73 / 75

73. For a simple harmonic oscillator, maximum speed occurs at

1) Extreme position

2) Only after one period

3) Mean position

4) Everywhere same

74 / 75

74. Calculate molar mass of H2O (in g/mol).

75 / 75

75. In a transformer, the core is laminated to reduce

1) Hysteresis loss

2) Copper loss

3) Eddy current loss

4) Magnetic flux

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