JEE MAINS TYPE 6 – Start Exam

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JEE MAINS TYPE 6

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1 / 75

1. If 1 mol ideal gas at 300 K has PV, with R=0.082 L·atm/mol·K, PV (L·atm) is

2 / 75

2. If sinθ=2/29 and cosθ=5/29 (θ acute), then tanθ equals

1) 10

2) 5/2

3) 7

4) 2/5

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3. The oxidation state of chlorine in HClO is

1) +7

2) +1

3) +5

4) −1

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4. If a body moves with constant acceleration, its velocity-time graph is

1) A circle

2) A parabola

3) A hyperbola

4) A straight line

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5. In a parallel combination of resistors, the potential difference across each resistor is

1) Different

2) Zero

3) Infinite

4) Same

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6. In electrolysis, oxidation occurs at

1) Anode

2) Electrolyte

3) Salt bridge

4) Cathode

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7. The geometry of NH4+ ion is

1) Linear

2) Trigonal pyramidal

3) Square planar

4) Tetrahedral

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8. The unit of electric current is

1) Watt

2) Coulomb

3) Ampere

4) Ohm

9 / 75

9. The functional group present in acetone is

1) Alcohol

2) Ester

3) Ketone

4) Aldehyde

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10. If a body falls freely for 3 s, find distance travelled (m). Take g=9.8 m/s^2 (rounded to 1 decimal).

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11. A circle has radius 2. Its area (in terms of π) is

1) 4

2) 2π

3) Option 4

4) 4π

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12. If a right triangle has legs 6 and 8, find the hypotenuse.

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13. A charge of 5 C is moved through 12 V. Find work done (J).

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14. Which type of lens is used to correct myopia?

1) Convex lens

2) Cylindrical lens only

3) No lens

4) Concave lens

15 / 75

15. Number of ways to arrange 8 distinct books on a shelf is

1) 16777216

2) 5040

3) 40320

4) 322560

16 / 75

16. The correct increasing order of ionization enthalpy is

1) Si < Al < Mg < Na

2) Mg < Na < Al < Si

3) Na < Al < Mg < Si

4) Na < Mg < Al < Si

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17. Compute: ∫_0^2 (3x^2) dx.

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18. A wave of speed 500 m/s has frequency 100 Hz. Find wavelength (m).

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19. Value of determinant |3 3; 3 3| is

1) 0

2) 2

3) 18

4) Option 4

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20. Which one is a strong acid?

1) HCl

2) NH4OH

3) CH3COOH

4) H2CO3

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21. A capacitor of 4 μF is charged to 50 V. Find energy stored in μJ.

22 / 75

22. For a simple harmonic oscillator, the period depends on

1) Initial position only

2) Amplitude (large) always

3) Phase only

4) System parameters

23 / 75

23. Which of the following is a noble gas?

1) N

2) Ne

3) Na

4) Ni

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24. Which law states that induced emf opposes the change producing it?

1) Coulomb’s law

2) Faraday’s law (only)

3) Lenz’s law

4) Ohm’s law

25 / 75

25. A body of mass 3 kg moves with velocity 4 m/s. Find momentum (kg·m/s).

26 / 75

26. If z = 3 − 1i, then z + conjugate(z) equals

1) 2

2) 1

3) 6

4) 3

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27. If A and B are events with P(A)=0, then A is

1) Impossible event

2) Independent event

3) Certain event

4) Complementary event

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28. If y is directly proportional to x, then y/x is

1) Zero

2) Constant

3) Infinite

4) Variable

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29. Molar mass of H2SO4 is (g/mol).

30 / 75

30. In benzene, each carbon is

1) sp2 hybridized

2) sp hybridized

3) sp3 hybridized

4) dsp2 hybridized

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31. The energy of a capacitor is given by

1) (1/2)QV

2) CV

3) (1/2)CV^2

4) QV^2

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32. Distance between points (5,0) and (0,8) is

1) 9.434

2) 89

3) 3

4) 13

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33. When a ray passes from denser to rarer medium at angle greater than critical angle, it undergoes

1) Dispersion

2) Total internal reflection

3) Diffraction

4) Polarization

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34. The value of Faraday constant is approximately

1) 96500 C/mol

2) 8.314 J/mol·K

3) 1.602×10^-19 C

4) 6.022×10^23

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35. If f(x)=|x|, then f(−3) equals

1) −3

2) 3

3) 6

4) 0

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36. For a first-order reaction, the unit of rate constant k is

1) mol L^-1 s^-1

2) L mol^-1 s^-1

3) s^-1

4) dimensionless

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37. The unit of resistance is

1) Watt

2) Ampere

3) Ohm

4) Volt

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38. Compute: 11C2.

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39. If a wire’s length is doubled and area is halved, its resistance becomes

1) R/4

2) R/2

3) 4R

4) 2R

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40. For hyperbola x^2/a^2 − y^2/b^2 = 1, the center is

1) (0,b)

2) (0,0)

3) (a,0)

4) (−a,0)

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41. The refractive index of a medium is defined as

1) v/c

2) c+v

3) cv

4) c/v

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42. The maximum number of electrons in a shell with principal quantum number n=3 is

1) 8

2) 18

3) 32

4) 9

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43. If net external force on a system is zero, total momentum of the system is

1) Always decreases

2) Conserved

3) Not conserved

4) Always increases

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44. The number of moles present in 9 g of water is

1) 1

2) 0.5

3) 0.25

4) 2

45 / 75

45. Which of the following is a saturated hydrocarbon?

1) Ethene

2) Ethyne

3) Benzene

4) Ethane

46 / 75

46. If f(x)=x^6, then f'(1) equals

1) 36

2) 5

3) 6

4) 1

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47. Which reagent is used for Tollens’ test?

1) Fehling solution only

2) [Ag(NH3)2]+

3) KMnO4

4) Br2 water

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48. The pH of 10^-4 M NaOH (ideal strong base) is

1) 10

2) 7

3) 4

4) 14

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49. Slope of line joining (8,8) and (8,12) is

1) 4

2) 1

3) 0

4) Undefined

50 / 75

50. Which of the following has highest lattice enthalpy?

1) KBr

2) MgO

3) NaCl

4) CsI

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51. For ideal solution, ΔHmix is

1) Positive

2) Infinite

3) 0

4) Negative

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52. The relation between frequency f, wavelength λ and speed v is

1) v = λ/f

2) f = vλ

3) v = fλ

4) f = v/λ^2

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53. In photoelectric effect, increasing intensity (keeping frequency above threshold) mainly increases

1) Number of emitted electrons

2) Threshold frequency

3) Maximum kinetic energy

4) Stopping potential

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54. Number of terms in expansion of (a+b)^9 is

1) 11

2) 18

3) 9

4) 10

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55. A transformer works on

1) Photoelectric effect

2) Mutual induction

3) Self induction only

4) Electrostatics

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56. If a function is one-one, then it must pass the

1) Vertical line test

2) Slope test

3) Circle test

4) Horizontal line test

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57. pH of 1×10^-6 M HCl (ideal strong acid) is

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58. Oxidation state of Mn in MnO2 is

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59. The catalyst used in Haber process is

1) Fe

2) Zn

3) Ag

4) Cu

60 / 75

60. General term of GP: 3, 3·1, 3·1^2, … is

1) 3·1^n

2) 3·1^(n−1)

3) 1^(n−1)

4) 3+(n−1)1

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61. In refraction, the frequency of light

1) Remains unchanged

2) Increases

3) Becomes zero

4) Decreases

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62. The binding energy per nucleon is maximum for nuclei around

1) Helium

2) Hydrogen

3) Iron region

4) Uranium

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63. If the AP is 7, 11, 15, … find the 10th term.

64 / 75

64. Mean of first 15 natural numbers is

1) 7.5

2) 8.0

3) 8.5

4) 7.0

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65. The SI unit of electric potential is

1) Ohm

2) Tesla

3) Coulomb

4) Volt

66 / 75

66. For an ideal gas, average kinetic energy of molecules depends on

1) Temperature

2) Molar mass

3) Volume only

4) Pressure only

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67. If vectors a and b are parallel, then a×b is

1) 0 vector

2) Perpendicular to a always non-zero

3) Maximum

4) Equal to a·b

68 / 75

68. Evaluate: 2^10 − 2^5.

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69. Value of cos(0) + sin(0) + tan(0) equals

1) 2

2) 0

3) 1

4) Undefined

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70. Evaluate: ∫_0^8 1 dx

1) 1

2) 8

3) 9

4) 7

71 / 75

71. Which is a ligand?

1) H2

2) NH3

3) Na+

4) NaCl

72 / 75

72. A body has uniform circular motion. Its speed is constant but its velocity changes because

1) Time changes

2) Direction changes

3) Magnitude changes

4) Mass changes

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73. Which compound is an alcohol?

1) CH3COCH3

2) CH3COOH

3) C2H5OH

4) CH3CHO

74 / 75

74. How many subsets does a set with 9 elements have?

1) 512

2) 18

3) 81

4) 256

75 / 75

75. Number of moles in 58.5 g of NaCl (M=58.5 g/mol) is

The average score is 37%

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