JEE MAINS TYPE 3 – Start Exam

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JEE MAINS TYPE 3

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

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2. AlCl3 acts as a Lewis acid because it

1) Accepts OH-

2) Donates H+

3) Donates an electron pair

4) Accepts an electron pair

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

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4. If 3x−7=20, find x.

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

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

1) Current decreases

2) Current increases

3) Number of turns decreases

4) Radius increases

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

1) 35

2) 28

3) 30

4) 32

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8. Photoelectric effect supports the concept of

1) Photon nature of light

2) Newton's laws

3) Sound waves

4) Wave nature only

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9. Which is the correct order of bond length?

1) All equal

2) Single > Double > Triple

3) Double > Single > Triple

4) Triple > Double > Single

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10. The gas that turns lime water milky is

1) H2

2) O2

3) N2

4) CO2

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11. Which is a strong electrolyte?

1) NaCl

2) Sucrose

3) Urea

4) Glucose

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

1) 300 J

2) 13 J

3) 30 J

4) 7 J

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

1) Hysteresis loss

2) Eddy current loss

3) Magnetic flux

4) Copper loss

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14. Which compound shows cis-trans isomerism?

1) CH4

2) CHCl=CHCl

3) CH3-CH2-OH

4) CH3-CH3

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15. Dimensional formula of electric potential (volt) is

1) ML^2T^-2

2) MLT^-2

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

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

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16. Value of (1+tan^2θ) equals

1) cosec^2θ

2) sec^2θ

3) cos^2θ

4) 1−tan^2θ

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

1) -2

2) -1

3) 2

4) -4

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

1) Zero order

2) Second order

3) Third order

4) First order

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

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20. The quadratic x²−6x+9=0 has

1) Two distinct complex roots

2) No real roots

3) Two distinct real roots

4) Two equal real roots

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

1) (x−1)^2 + (y−2)^2 = 3

2) x^2+y^2=9

3) (x+1)^2 + (y−2)^2 = 9

4) (x−1)^2 + (y+2)^2 = 9

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

1) H2O

2) [Co(NH3)6]Cl3

3) NaCl

4) CH4

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

1) 1/9

2) 1/6

3) 1/12

4) 1/3

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

1) 4

2) 5

3) 6

4) 7

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

1) sec θ

2) sin θ

3) tan θ

4) cos θ

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26. Which is NOT a transition element?

1) Ni

2) Cu

3) Fe

4) Zn

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27. Unit of rate constant for second order reaction is

1) dimensionless

2) s^-1

3) mol L^-1 s^-1

4) L mol^-1 s^-1

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

1) Becomes zero always

2) Remains same

3) Increases

4) Decreases

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

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

2) x^2 e^x

3) e^x(x^2−2x)

4) e^x(2x)

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

1) 1.2 Ω

2) 0.5 Ω

3) 6 Ω

4) 5 Ω

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

1) Equal

2) Collinear but opposite

3) Perpendicular

4) Parallel

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32. 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) 10 m/s

3) 40 m/s

4) 25 m/s

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

1) Valence electrons decrease

2) Mass increases

3) Shielding increases

4) Effective nuclear charge increases

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

1) On same side always

2) At focus always

3) On the opposite side of lens

4) No image formed

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35. The major product of hydration of ethene is

1) Ethanol

2) Ethanoic acid

3) Ethane

4) Ethanal

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

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37. Evaluate: 8! / (6!)

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38. For an ideal gas, PV is proportional to

1) Volume

2) Pressure

3) Temperature

4) Mass

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

1) (0,−a)

2) (−a,0)

3) (a,0)

4) (0,a)

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

1) 22

2) 16

3) 18

4) 14

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41. Hybridization of carbon in ethyne (C2H2) is

1) sp3

2) dsp2

3) sp

4) sp2

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42. Inelastic collision conserves

1) Momentum

2) Neither

3) Both momentum and KE

4) Kinetic energy

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43. Oxidation state of Mn in KMnO4 is

1) +4

2) +6

3) +2

4) +7

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

1) 4

2) 2

3) 3

4) 1

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

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

1) y = 3x + C

2) y = 3x^3 + C

3) y = x^3 + C

4) y = x^2 + C

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

1) 28

2) 70

3) 35

4) 21

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48. Moment of force is also known as

1) Torque

2) Power

3) Energy

4) Impulse

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49. Molarity of pure water is approximately

1) 1000

2) 55.5

3) 1

4) 18

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

1) 1

2) 3

3) 2

4) 4

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51. pH of 1×10^-2 M HCl is

1) 12

2) 7

3) 2

4) 1

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52. Which reagent distinguishes aldehyde from ketone?

1) H2O

2) Tollens’ reagent

3) NaCl

4) Conc. H2SO4

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

1) 10.5

2) 8.5

3) 8

4) 9

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

1) E/q

2) q+E

3) q/E

4) qE

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55. For uniform circular motion, acceleration is directed

1) Zero

2) Along velocity

3) Towards the center

4) Away from center

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

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

1) Only after one period

2) Mean position

3) Extreme position

4) Everywhere same

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

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59. Oxidation state of O in H2O2 is

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60. ∫ 2x/(1+x^2) dx equals

1) arctan x + C

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

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

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

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61. A diode allows current mainly in

1) Both directions equally

2) One direction

3) No direction

4) Only AC

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62. The energy of a photon is given by

1) h/f

2) hc

3) fc

4) hf

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63. Let z=1−2i. Then |z|² equals

1) 9

2) 3

3) 4

4) 5

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

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

1) 48 A

2) 16 A

3) 3 A

4) 0.33 A

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66. IUPAC name of CH3-CH2-CHO is

1) Ethanal

2) Propanol

3) Propanal

4) Propanone

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

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

1) Path function

2) State function

3) Intensive only

4) Vector quantity

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69. Bond angle in NH3 is approximately

1) 120°

2) 107°

3) 180°

4) 90°

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70. SI unit of power is

1) Pascal

2) Joule

3) Watt

4) Newton

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

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

1) 120

2) 60

3) 720

4) 210

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73. lim_{x→0} (sin 5x)/(x) equals

1) 10

2) 5

3) 0

4) 1

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

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75. In galvanic cell, oxidation occurs at

1) Cathode

2) Salt bridge

3) Electrolyte

4) Anode

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