CAE 2025 MOCK TEST – I Leave a Comment / Mathematics / By ADMIN Report a question What’s wrong with this question? You cannot submit an empty report. Please add some details. 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990 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″ 1 / 90 1. Some crystals of copper sulphate were dissolved in water. The color of the solution obtained would be: Green Red Blue Brown 2 / 90 2. When Zinc pieces are added to dilute HCl taken in a test tube, then: No change takes place The colour of the solution becomes yellow. A pungent smelling gas gets liberated Small bubbles of H₂ gas appear on the surface of zinc pieces 3 / 90 3. PbS reacts with ozone (O3) and forms PbSO4. As per the balanced equation, molecules of ozone required for every one molecule of PbS is/are: 4 3 2 1 4 / 90 4. Chemically rust is: Hydrated ferrous oxide Hydrated ferric oxide Only ferric oxide None of these 5 / 90 5. In the reaction: PbO + C → Pb + CO PbO is oxidised C acts as an oxidising agent Carbon acts as a reduction agent Reaction does not represent redox reaction 6 / 90 6. A substance which oxidizes itself and reduces other is known as: Oxidising agent Reducing agent Both (a) and (b) None of these. 7 / 90 7. The reaction between lead nitrate and potassium iodide present in aqueous solution is an example of Decomposition Reaction Displacement Reaction Double Displacement Reaction Neutralisation Reaction 8 / 90 8. What happens when dilute hydrochloric acid is added to iron filling? Hydrogen gas and iron chloride are produced Chlorine gas and iron hydroxide are produced No reaction takes place Iron salt and water are produced 9 / 90 9. 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? A displacement reaction takes place as lead replaces copper from the solution A combination reaction takes place as lead combines with sulphate in the solution Decomposition reaction takes place as copper dissociates from sulphate in the solution A double displacement reaction takes place as copper dissociates from sulphate and lead combines with sulphate in the solution 10 / 90 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 1 2 3 4 11 / 90 11. Which of the following is not a balanced equation? Fe + Cl₂ → FeCl₃ Mg + CuSO₄ → MgSO₄ +Cu NaOH + HCl → NaCl + H₂O Zn + S → ZnS 12 / 90 12. Dissolving sugar is an example of: Physical change Chemical change Redox reaction None of these 13 / 90 13. We store silver chloride in dark colored bottles because it is A white solid Undergoes redox reaction To avoid action by sunlight None of the above 14 / 90 14. The reaction H₂ + Cl₂ → 2 HCl represents: oxidation reduction decomposition combination 15 / 90 15. Copper displaces which of the following metals from its salt solution: ZnSO₄ FeSO₄ AgNO₃ NiSO₄ 16 / 90 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 (i), (ii) and (iii) (ii) and (iv) (i), (ii) and (iv) (ii) and (iv) 17 / 90 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? Lead sulphate (insoluble) Lead acetate Ammonium nitrate Potassium sulphate 18 / 90 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? KMnO₄ is an oxidising agent, it oxidises FeSO₄. FeSO₄ acts as an oxidising agent and oxidises KMNO₄ The colour disappears due to dilution; no reaction is involved KMnO₄ is an unstable compound and de-composes in presence of FeSO₄. to a colourless compound 19 / 90 19. In an electric cell where electrolysis is carried out, anode has: Positive charge Negative charge Connected to negative terminal of the battery None of these is correct 20 / 90 20. The colour of phenolphthalein in acidic medium is- Yellow Pink Colourless Blue 21 / 90 21. The gas which burns with a pop sound – H2 CO2 O2 CH4 22 / 90 22. Milkiness of limewater disappear when excess CO2 is passed due to the formation of Calcium hydroxide Calcium chloride Calcium bicarbonate Calcium carbonate 23 / 90 23. The acid present in tomato is- Lactic acid Oxalic acid Tartaric acid Methanoic acid 24 / 90 24. The common name for the substance used as antacid- Washing soda Plaster of Paris Bleaching powder Baking soda 25 / 90 25. Calcium carbonate reacts with hydrochloric acid to form X, Y ,Z. What areX, Y, Z ? X:Ca(OH)2,Y:H2O,Z:CO2 X:CaCl2,Y:H2O, Z:CO2 X:CaCl2,Y:H2O, Z:CO2 X:CaCl2,Y:H2O, Z:CO2 26 / 90 26. When you clean a metal vessel with tamarind the reaction taking place is: Metaloxide+X——– → Salt+Water. What is X here? Acid Base Hydrogen Carbon dioxide 27 / 90 27. Brine is an aqueous solution of sodium hydroxide aqueous solution of sodium carbonate aqueous solution of sodium chloride aqueous solution of sodium bicarbonate 28 / 90 28. Sodium carbonate is a basic salt because it is a salt of a strong acid and strong base weak acid and weak base strong acid and weak base weak acid and strong base 29 / 90 29. Nettle sting is a natural source of which acid? Methanoic acid Lactic acid Citric acid Tartaric acid 30 / 90 30. Tooth enamel is made up of calcium phosphate calcium carbonate calcium oxide potassium 31 / 90 31. Rain is called acid rain when its: pH falls below 7 pH falls below 6 pH falls below 5.6 pH is above 7 32 / 90 32. Farmers neutralize the effect of Acidity on soil by adding Slaked Lime Gypsum Caustic Soda Baking Soda 33 / 90 33. In which pH range does our body work to survive in the atmosphere? 5.5 to 8.5 7.0 to 7.8 2.3 to 7.0 7.5 to 12.5 34 / 90 34. The pH of a solution is 7. How can you increase its pH? By adding a small amount of acid By adding a small amount of base. By adding a small amount of salt. By passing carbon dioxide gas through it. 35 / 90 35. Which gas is evolved when acids react with metals? O₂ CO₂ H₂ N₂ 36 / 90 36. Which of the following gives the correct increasing order of acidic strength? Water < Acetic acid < Hydrochloric acid Water < Hydrochloric acid < Acetic acid Acetic acid < Water < Hydrochloric acid Hydrochloric acid < Water < Acetic acid 37 / 90 37. One of the constituents of baking powder is sodium hydrogen carbonate, the other constituent is hydrochloric acid tartaric acid acetic acid sulphuric acid 38 / 90 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? X > Y > Z Z > Y > X Y > X > Z Z > X > Y 39 / 90 39. What is gastric acid present in the stomach composed of? Hydrochloric acid Sulphuric acid Nitric acid Lactic acid 40 / 90 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 (i) and (ii) (i) and (iii) (ii) and (iii) (i) and (iv) 41 / 90 41. The most abundant metal in the earth’s crust is Iron Aluminium Calcium Sodium 42 / 90 42. The poorest conductor of heat among metals is Lead Mercury Calcium Sodium 43 / 90 43. Which property of metals is used for making bells and strings of musical instruments like Sitar and Violin? Sonorousness Malleability Ductility Conductivity 44 / 90 44. Al₂O₃ + 2NaOH → …… + H₂O Al(OH)₃ Na₂O NaAlO₂ AlNaO₂ 45 / 90 45. Which of the following is the correct arrangement of the given metals in ascending order of their reactivity? Zinc, Iron, Magnesium, Sodium Zinc > Iron > Magnesium > Sodium Sodium > Magnesium > Iron > Zinc Sodium > Zinc > Magnesium > Iron Sodium > Magnesium > Zinc > Iron 46 / 90 46. The pair of linear equations 3x+4y = 12 and y=4 has No common solution one common solution nfinitely many solution None of these 47 / 90 47. In an A P ,if d= -4 , n= 7, an = 4 then a is 6 7 20 28 48 / 90 48. Which of the following can not be a right triangle 9cm,15cm,12cm 2cm,1cm, √5 cm 400mm, 300mm,500mm 9cm,5cm,7cm 49 / 90 49. If the radius of the circle is increased three times how many times will it circumference increased 2 times 3 times 1/3 times 9 times 50 / 90 50. The ratio of the areas of the incircle and circumcircle of a square is 1:2 1:3 1:4 1: √2 51 / 90 51. In a single throw of two dice the probability of getting a total of 8 is 5/36 1/36 7/36 None of these 52 / 90 52. The zeroes of a polynomial 3x²-2x-5 are -1,5/3 1,5/3 0,-1 1,0 53 / 90 53. Ratio of lateral surface areas of two cylinders with equal height is 1: 2 H : h R: r None of these 54 / 90 54. For a frequency distribution, mean, median and mode are connected by the relation mode = 3mean – 2median mode = 2median – 3mean mode = 3median – 2mean mode = 3median + 2mean 55 / 90 55. The distance between two parallel tangents of a circle of radius 3 cm is: 3 cm 6 cm 5 cm 4 cm 56 / 90 56. Volume and surface area of a sphere are numerically equal, then radius of sphere is 0 unit 1 unit 2 unit 3 unit 57 / 90 57. The value of k for which x, 2x+k, 3x+6 are any three consecutive terms of AP is 2 3 4 1 58 / 90 58. Find the zeroes of the quadratic polynomial x² – 4x + 3. 4,1 -1,3 -1,-3 3,1 59 / 90 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. 70˚ 110˚ 80˚ 120˚ 60 / 90 60. A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is 2/3 1/6 1/3 11/30 61 / 90 61. .If the nth term of an AP is 2n+1 , then the sum of first n terms of the AP is n(n-2) n(n+2) n(n+1) n(n-1) 62 / 90 62. The three terms of an AP are respectively 3y-1, 3y+5, and 5y+1. Then y equals to -3 4 5 2 63 / 90 63. The perimeter of a triangle with vertices (0,4) , (0,0) and (3,0) 9 5 10 12 64 / 90 64. If the perimeter of a circle is equal to that of a square , then the ratio of their area is 22:7 14:11 7:22 11:14 65 / 90 65. The probability that non – leap year has 53 Sundays is 2/7 5/7 6/7 1/7 66 / 90 66. If 11 times the 11th term of an A.P. is equal to 7times its 7th term, then its 18th term will be : 7 11 0 18 67 / 90 67. If the points A(1, 2), B(0, 0) and C(a, b) are collinear, then : a = b a = 2b 2a = b a = –b 68 / 90 68. 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 4.5 20 50 15.5 69 / 90 69. sin (45° + θ) – cos (45° – θ) is equal to : 2 cosec θ sin θ 1 0 70 / 90 70. In a throw of two dice, the probability of getting a sum of 10 is : 1/12 1/36 1/6 1/4 71 / 90 71. The 10 th term of the AP 2, 7 , 12 , … is 20 32 49 47 72 / 90 72. Sides of two similar triangles are in the ratio 4 : 9 areas of these triangles are in the ratio 2:3 4:9 16:81 81:16 73 / 90 73. CosecA /secA is tan A cot A sin A cosec A 74 / 90 74. The total number of outcomes if 3 dices are thrown simultaneously is 64 216 36 18 75 / 90 75. The points (–4, 0), (4, 0), (0, 3) are the vertices of a right triangle isosceles triangle isosceles triangle scalene triangle 76 / 90 76. Construction of a cumulative frequency table is useful in determining the mean median mode all the above three measures 77 / 90 77. Which of the the following can be the probability of an event? – 0.04 1.004 18/23 8/ 7 78 / 90 78. 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 1 < r < b 1 < r < b 1 < r < b 0 < r < b 79 / 90 79. If one of the zeroes of the cubic polynomial ax3 + bx² + cx + d is zero, the product of then other two zeroes is -c/a c/a -b/a b/a 80 / 90 80. If one zero of the quadratic polynomial x² + 3x +k is 2 , then the value of k is : 10 -10 5 -5 81 / 90 81. x = a and y =b is the solution of the linear equation x- y = 2 and x + y = 4, then the value of a and b are : 2,1 3,1 4,6 1,2 82 / 90 82. If one root of the quadratic equation 4x² – 2x + (k-4) = 0 be the reciprocal of the other, then k = …….. 8 -8 4 -4 83 / 90 83. If 18, a, b, -3 are in A.P, then a +b = ……… 19 7 11 15 84 / 90 84. The perimeter of a triangle with vertices (0,4) and (0, 0) and (3,0) is : 7 5 10 12 85 / 90 85. If PA and PB are tangents to the circle with centre O such that angle APB = 50⁰, then angle OAB =…… 25⁰ 30⁰ 40⁰ 50⁰ 86 / 90 86. If two integers a and b are expressible in the form a=pq2 and b=p3q; p q being prime numbers, then LCM (a, b) is p q p3q3 p3q2 p2q2 87 / 90 87. Two isosceles triangles have equal angles and their areas are in the ratio 16:25. The ratio of their Corresponding heights is 4:5 5:4 3:2 5:7 88 / 90 88. The value of cos²17 –sin²73 is 1 1/3 0 -1 89 / 90 89. If PA and PB are tangents to the circle with centre O such that 25⁰ 30⁰ 40⁰ 50⁰ 90 / 90 90. The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is 2r r² r √r Your score is The average score is 52% 0%