1. The word 'PEOPLE' can be arranged ______ ways?
Answer: a. 6!
2. How many 2 digit numbers can be formed from 0, 2, 4, 5, 6?
Answer: c. 10
3. e^(logâ‚‘ √25) =
Answer: d. 5
4. If cosθ = cosα, the solution of θ=?
Answer: a. 2nπ+α
5. Range of function |x-2| + 2 is
Answer: a. [2, ∞)
6. Foci of the ellipse (x-h)²/a² + (y-k)²/b² = 1 is?
Answer: c. (h, ± be)
7. If (3, 4, -2), (8, 5, 0), (1, 10, -6) and (k, 2, 2) are coplanar. Find the value of k.
Answer: a. 9
8. The equation 2x+5y=7 in three dimension plane represents:
Answer: a. Plane perpendicular to z-axis
9. The three points (2,0,0), (0,2,0) and (0,0,2) are:
Answer: c. Linearly independent
10. Argument of (-2, -i) lies in:
Answer: c. 3rd quadrant
11. If A = (3 2), B = (2 -3), then (A-B⁻¹) =
Answer: d. (0 0)
12. f(x) | cosx sinx |, then f (Ï€/4) =
Answer: a. 1
13. √(tan⁻¹x / 1+x²) dx = ?
Answer: a. 2/3 (tan⁻¹x)³
14. dx coth⁻¹x
Answer: a. 1/(x²-1)
15. If dx = 2t and dy = 2t², then dx/dy =
Answer: c. 1/y
16. ∫₀¹ dx/√(1-x²) =
Answer: b. π/2
17. The area of parallelogram with diagonals a⃗ and b⃗ is:
Answer: b. |a × b|
18. Logâ‚‘ e + Logâ‚‘ √e =
Answer: d. 2
19. The value of (1+i)²⁰ is:
Answer: c. -2¹⁰
20. The eccentricity of the curve x² + y² - 2xy + 16x + 16 = 0
Answer: a. <1
21. The word 'fluctuate' is stressed in which syllable?
Answer: b. 2nd
22. The phonetic transcription of the word 'stone' is
Answer: a. [Sto:n]
23. Synonym of emendable?
Answer: a. Corrigible
24. Sita is married _____ Ram.
Answer: a. to
25. The number of students in this class is increasing rapidly.
Answer: c. is
26. The passive form of "They let us go"
Answer: b. We were let go
27. Which one is correct?
Answer: d. Dear sir/ madam
28. I have .... daughter.
Answer: b. a six-year-old
29. Did you get the principal .......?
Answer: b. appointed
30. Divide the mangoes between .......
Answer: d. you and me
31. Ram said, "Bravo! you have won."
Answer: a. Ram congratulated us and said that we had won.
32. The structure for "Go out" is:
Answer: a. V + preposition
33. A car accelerates from rest and acquires a velocity v in time T. The work done on the body in time t will be proportional to:
Answer: a. v²/T² . t
34. The range of a projectile when launched at angle θ is same as when launched at an angle 2θ then value of θ is:
Answer: b. 30°
35. The resultant of two forces 8N and 6N is:
Answer: b. 10N
36. A simple pendulum having hollow metallic bob has a time period T₁. Now the bob is half filled with sand, its time period becomes T₂.
Answer: b. T₂ > T₁
37. If we open the door of a refrigerator in a room. The temperature of the room:
Answer: a. increases
38. What happens when we heat ice at -5°C on moon?
Answer: d. none
39. The angle of prism is 4° and its R-I is 1.5. The demotion will be:
Answer: c. 6°
40. When distance between two charged particle is valued the coulomb force between them becomes:
Answer: b. one fourth
41. The terminal potential difference of a cell during short circuit is:
Answer: c. 0
42. The effective resistance of 10 pieces of copper wire having equal length when connected in parallel = R/100. What is the effective resistance when they are connected in series?
Answer: c. 10R
43. How many number of beats per second are produced by 3 tuning fork of frequencies 401, 402 and 404 are vibrated together.
Answer: c. 2
44. What is the maximum image distance formed by a convex mirror?
Answer: a. f
45. A sound wave of wave length λ travelling with velocity v in a medium enter into another medium in which velocity is 40m/s. The wavelength of sound in 2nd medium is:
Answer: b. λ
46. A hollow spherical conductor does not produce electric field?
Answer: d. Both (a) and (c)
47. At critical temperature, the surface tension of a liquid is
Answer: c. zero
48. Current in a diode does not flow in which condition.
Answer: d. Both (b) and (c)
49. Wavelength of hydrogen spectrum 4000-6,500A° lies in
Answer: a. Balmer series
50. The amount of current required to reduce 1 mole of KMnO₄ in alkaline medium is
Answer: b. 3F
51. No. of CO₂ molecules in 17.6gm of it is
Answer: a. 24.092 × 10²³
52. Which is most electronegative?
Answer: b. F
53. Bleaching powder (CaOCl₂) can be obtained by reacting Cl₂ with
Answer: c. aq. Ca(OH)₂
54. Tetrahedral structure of carbon was first suggested by
Answer: d. Van hoff and Lebel
55. Which of these is both Lewis base and Lewis acid?
Answer: c. H₂O
56. Yellow colour of HNO₃ is due to
Answer: c. NO₂
57. Which metal is extracted from blast furnace?
Answer: a. Fe
58. The total number of orbitals in an orbit of n element is:
Answer: a. n²
59. Characteristics of ethylene is
Answer: b. Pleasant smell
60. When R - X is fluxed with Mg in presence of dry ether, the compound formed is
Answer: b. R - MgX
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