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1. If sinθ = 3/5 (θ acute), find cosθ (as a decimal upto 2 places).

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2. Compute: C(10,3).

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3. The escape speed from a planet depends on

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4. The value of sin^2θ + cos^2θ is

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5. Evaluate the determinant of [[1,2],[3,4]].

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6. Which particle has no charge?

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7. If a vector has magnitude 0, then the vector is

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8. The time period of a simple pendulum depends on

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9. The area of triangle with vertices (0,0), (4,0), (0,3) is

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10. If a wire is stretched, its resistance generally

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11. The number of atoms per unit cell in FCC lattice is

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12. Which of the following is a weak acid?

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13. Which gas is used in making ammonia by Haber process?

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14. If A⊆B, then A∪B equals

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15. In a right triangle with legs 3 and 4, the hypotenuse is

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16. Solve for x: 5x + 9 = 64.

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17. Derivative of ln(x) is

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18. A wave of frequency 25 Hz travels with speed 150 m/s. Find wavelength (m).

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19. The phenomenon used in optical fibres is

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20. If the roots of x^2 + 4x + 4 = 0 are α, β then α=β equals

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21. Find the remainder when 7^5 is divided by 3.

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22. Which compound has highest boiling point due to H-bonding?

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23. Number of protons in 27Al (atomic number 13) is

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24. The direction of induced emf is given by

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25. Which is the strongest oxidizing agent among halogens?

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26. A capacitor of 2 μF is charged to 10 V. Find stored energy in μJ (use U=1/2CV^2).

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27. A 15 Ω resistor is connected to 30 V. Find current (A).

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28. The frequency of a tuning fork is 256 Hz. Its time period is

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29. A lens which always forms a virtual, erect and diminished image is

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30. Which of the following is an aromatic compound?

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31. If a solution has 0.2 mol solute in 0.5 L, molarity is

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32. If z = −1 + i, then z^2 equals

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33. If wavelength of light decreases, its frequency (in same medium) generally

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34. Which of the following is a state function?

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35. If x+y+z=0, then x^3+y^3+z^3 equals

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36. A ray of light incident normally on a glass slab emerges

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37. If P(A)=0.4 and P(B)=0.5 for independent events, then P(A∩B) is

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38. The value of ∫ 0^π sin x dx is

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39. The stopping potential in photoelectric effect equals

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40. In an electric circuit, the device that stores energy in electric field is

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41. Molar mass of CO2 is (g/mol).

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42. Which of the following has tetrahedral geometry?

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43. Which reagent converts alkene to alcohol (Markovnikov) under acidic conditions?

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44. In SN2 reaction, the rate depends on

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45. The number of unpaired electrons in O2 is

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46. If a body moves with constant velocity, its net force is

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47. If a GP has first term 3 and common ratio 2, its 5th term is

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48. If A is invertible, then det(A) is

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49. For 1 mol ideal gas at 273 K and 1 atm, volume is (L) approximately.

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50. The unit of molar conductivity is

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51. A body of mass 4 kg is acted upon by force 20 N. Find acceleration (m/s^2).

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52. Oxidation state of carbon in CO2 is

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53. If a line is parallel to x-axis, its slope is

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54. The standard enthalpy of formation of an element in its standard state is

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55. A body projected vertically upward has acceleration (taking upward positive) equal to

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56. The unit of magnetic flux is

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57. If cosθ = 0, then θ in [0,2π] can be

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58. If two bodies have same momentum, the heavier body has

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59. If (a,b) are solutions of x+y=5 and x−y=1, then x equals

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60. The pKa of a stronger acid is

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61. For an ideal gas at constant volume, pressure is proportional to

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62. If |x|<1, then 1/(1−x) can be expanded as

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63. The number of valence electrons in chlorine (Z=17) is

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64. The oxidation state of iron in Fe2O3 is

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65. The process of converting sugar into ethanol is

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66. Find the value of 9!/(7!).

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67. Which is a cation exchange resin functional group?

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68. In a uniform magnetic field, work done on a charged particle moving in a circle is

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69. A photon has wavelength 620 nm. Find its energy in eV using 1240 eV·nm (nearest integer).

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70. If tanθ = √3 and θ is acute, then θ equals

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71. If a and b are roots of x^2 − 5x + 6=0, then a+b equals

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72. The correct order of acidic strength is

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73. In a series LCR circuit at resonance, impedance is

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74. The energy stored in a capacitor is proportional to

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75. Which of the following shows optical isomerism?

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