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ICONIC OAV ENTRANCE EXAM

CAE 2025 MOCK TEST – I

Total Number of Questions – 90

Mathematics _ 45 Questions

Science – 45 Questions

Penalty for 1 wrong answer – ” -0.2″

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1. Some crystals of copper sulphate were dissolved in water. The color of the solution obtained would be:

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2. When Zinc pieces are added to dilute HCl taken in a test tube, then:

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3. Chemically rust is:

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4. In the reaction: PbO + C → Pb + CO

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5. A substance which oxidizes itself and reduces other is known as:

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6. The reaction between lead nitrate and potassium iodide present in aqueous solution is an example of

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7. What happens when dilute hydrochloric acid is added to iron filling?

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8. A student adds lead and silver to two different test tubes containing an equal amount of Copper Sulphate solution. The student observes that the color of the solution in the test tube with lead changes. What explains the change in the color of the solution?

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9. In an electrolytic cell where electrolysis is carried, cathode has:

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10. In the decomposition of lead (II) nitrate to give lead (II) oxide, nitrogen dioxide and oxygen gas, the coefficient of nitrogen dioxide (in the balanced equation) is

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11. Which of the following is not a balanced equation?

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12. Dissolving sugar is an example of:

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13. We store silver chloride in dark colored bottles because it is

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14. The reaction H₂ + Cl₂ → 2 HCl represents:

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15. Copper displaces which of the following metals from its salt solution:

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16. Which of the following statements about the given reaction are correct? 3Fe (s) + 4H₂O (g) → Fe3O₄ (s) + 4 H₂ (g)(i) Iron metal is getting oxidised (ii) Water is getting reduced (iii) Water is acting as reducing agent (iv) Water is acting as oxidising agent

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17. In the double displacement reaction between aqueous potassium iodide and aqueous lead nitrate, a yellow precipitate of lead iodide is formed. While performing the activity if lead nitrate is not available, which of the following can be used in place of lead nitrate?

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18. A dilute ferrous sulphate solution was gradu¬ally added to the beaker containing acidified permanganate solution. The light purple colour of the solution fades and finally disap¬pears. Which of the following is the correct explanation for the observation?

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19. In an electric cell where electrolysis is carried out, anode has:

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20. The colour of phenolphthalein in acidic medium is-

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21. The gas which burns with a pop sound –

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22. Milkiness of limewater disappear when excess CO2 is passed due to the formation of

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23. The acid present in tomato is-

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24. The common name for the substance used as antacid-

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25. Calcium carbonate reacts with hydrochloric acid to form X, Y ,Z. What areX, Y, Z ?

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26. When you clean a metal vessel with tamarind the reaction taking place is: Metaloxide+X——– → Salt+Water. What is X here?

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27. Brine is an

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28. Sodium carbonate is a basic salt because it is a salt of a

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29. Nettle sting is a natural source of which acid?

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30. Tooth enamel is made up of

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31. Rain is called acid rain when its:

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32. Farmers neutralize the effect of Acidity on soil by adding

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33. In which pH range does our body work to survive in the atmosphere?

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34. The pH of a solution is 7. How can you increase its pH?

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35. Which gas is evolved when acids react with metals?

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36. Which of the following gives the correct increasing order of acidic strength?

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37. One of the constituents of baking powder is sodium hydrogen carbonate, the other constituent is

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38. The pH of three solutions X, Y and Z is 6, 4 and 8 respectively. Which of the following is the correct order of acidic strength?

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39. What is gastric acid present in the stomach composed of?

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40. Aluminium is used for making cooking utensils. Which of the following properties of aluminium are responsible for the same? (i) Good thermal conductivity (ii) Good electrical conductivity (iii) Ductility (iv) High melting point

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41. The most abundant metal in the earth’s crust is

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42. The poorest conductor of heat among metals is

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43. Which property of metals is used for making bells and strings of musical instruments like Sitar and Violin?

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44. Al₂O₃ + 2NaOH → …… + H₂O

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45. Which of the following is the correct arrangement of the given metals in ascending order of their reactivity? Zinc, Iron, Magnesium, Sodium

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46. The pair of linear equations 3x+4y = 12 and y=4 has

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47. In an A P ,if d= -4 , n= 7, an = 4 then a is

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48. What is the common difference of an A P in which a18 – a14 = 32

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49. Which of the following can not be a right triangle

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50. The ratio of the areas of the incircle and circumcircle of a square is

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51. In a single throw of two dice the probability of getting a total of 8 is

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52. Ratio of lateral surface areas of two cylinders with equal height is

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53. If the difference of mode and median of a data is 24, then the difference of median and mean is

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54. Find the length of tangent drawn to a circle with radius 7 cm from a point 25 cm away from the Centre.

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55. The distance of the point P (2,3) from x-axis is

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56. The distance between two parallel tangents of a circle of radius 3 cm is:

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57. Volume and surface area of a sphere are numerically equal, then radius of sphere is

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58. Find the zeroes of the quadratic polynomial x² – 4x + 3.

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59. If tangents AB and AC from a point A to a circle with centre O are inclined to each other at angle of 70˚, then find ∠BOC.

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60. The point on axis which is equidistant from point (-1,0) and (5,0) is

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61. A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is

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62. .If the nth term of an AP is 2n+1 , then the sum of first n terms of the AP is

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63. The three terms of an AP are respectively 3y-1, 3y+5, and 5y+1. Then y equals to

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64. The perimeter of a triangle with vertices (0,4) , (0,0) and (3,0)

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65. If the perimeter of a circle is equal to that of a square , then the ratio of their area is

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66. The probability that non – leap year has 53 Sundays is

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67. The probability that leap year has 53 Sundays is

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68. The pair of equations x = a and y = b graphically representing lines which are :

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69. The sum and product of the roots of 2x²– 5x + 4 = 0are in the ratio

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70. If 11 times the 11th term of an A.P. is equal to 7times its 7th term, then its 18th term will be :

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71. If the points A(1, 2), B(0, 0) and C(a, b) are collinear, then :

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72. For a given data with 50 observations the ‘less than ogive’ and the ‘more then ogive’ intersect at (15.5, 20). The median of the data is

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73. sin (45° + θ) – cos (45° – θ) is equal to :

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74. In a throw of two dice, the probability of getting a sum of 10 is :

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75. The radii of bases of a cylinder and a cone are in the ratio 3 : 4 and their heights are in the ratio 2 : 3. The ratio between the volume of cylinder to that of cone is

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76. CosecA /secA is

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77. The total number of outcomes if 3 dices are thrown simultaneously is

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78. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12cm , length PQ is

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79. Which of the the following can be the probability of an event?

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80. Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

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81. If one zero of the quadratic polynomial x² + 3x +k is 2 , then the value of k is :

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82. If one root of the quadratic equation 4x² – 2x + (k-4) = 0 be the reciprocal of the other, then k = ……..

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83. If 18, a, b, -3 are in A.P, then a +b = ………

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84. The perimeter of a triangle with vertices (0,4) and (0, 0) and (3,0) is :

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85. If tanA = cot (30 + A), then, A= …..

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86. The value of cos²17 –sin²73 is

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87. If p and q are the roots of the equation x²-2x+1=0 then

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88. If PA and PB are tangents to the circle with centre O such that

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89. What is the probability that a leap year has 52 Mondays?

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90. If point P(x, y) is equidistant from A(5,1) and B(-1,5), then

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