Name of the University : ICAD Foundation
Name of the Exam : Competitive Potential Assessment (CPA) Admission Test
Degree : Two Years Integrated Program
Document Type : Sample Question Paper
Name of the Category : XI Moving Students
Website : http://www.icadiit.com/downloads.php
Download Sample Question Paper : https://www.pdfquestion.in/uploads/25190-XIEngineering.pdf
ICAD XI Moving – Engineering CPA Admission Test Paper
** The format (No. of Questions, Max. Marks & Time) of the actual CPA test paper may be different than the Sample Paper. However, general nature will remain same.
Related : ICAD Foundation Five Years Integrated Program VIII moving CPA Admission Test Question Paper : www.pdfquestion.in/25182.html
General Instructions
** The question paper will consist of objective type questions having multiple choices known as MCQ.
** Each question will have four choices as possible answers, namely (a), (b), (c), and (d).
** There will be negative marking (3R-1W),which means that for correct answer, 3 marks will be awarded and for wrong answer, 1 mark will be deducted.
** All the answers are to be marked by darkening the appropriate bubble(s) against the corresponding question.
** Darkening must be done carefully and fully by BLACK BALL POINT PEN ONLY.
** There is no provision of canceling the darkened bubble and marking another bubble, such answers will be treated as WRONG answers.
** Sample question paper and corresponding correct bubble sheet is provided for your reference.
Sample Questions
Mathematics
Part : A : 11 × 3 = 33 Marks) (3R – 1W)
Choose The Correct Option :
1. Two cones A and B have their base radii in the ratio of 4 : 3 and their heights in the ratio 3 : 4. The ratio of volume of cone A to that of cone B is
(a) 4 : 3
(b) 3 : 4
(c) 2 : 3
(d) 1 : 2
2. If each edge of a cube is increased by 50%, then the percentage increase in the surface area is
(a) 50
(b) 125
(c) 150
(d) 300
4. If 2 2 32 – = x y and 2 16 + = x y then 2 2 x + y is equal to
(a) 9
(b) 10
(c) 11
(d) 13
6. ABC is an isosceles triangle with AB = AC = 5 and BC = 6 . If G is the centroid of DABC , then AG is equal to
(a) 1/3
(b) 2/3
(c) 4/3
(d) 8/3
7. Three circles have the centres at A,B,C and each circle touches the other two externally. If AB = 5 cm, BC = 7 cm and CA = 6 cm, then the radii of three circles respectively are
(a) 2, 3, 4
(b) 3, 4, 5
(c) 2, 4, 5
(d) 2, 3, 5
Part : B (7 × 4 = 28 Marks) (4R – 1W)
Choose The Correct Option :
12. For an acute angle a, (sin a + cos a) takes the greatest value when the value of a is equal to
(a) 30º
(b) 45º
(c) 60º
(d) 90º
13. In the diagram, O is the centre of the circle. The angle CBD is equal to
(a) 25º
(b) 50º
(c) 40º
(d) 130º
15. A sum of ` 731 is divided among A, B and C, such that A receives 25% more than B and B receives 25% less than C. What is C’s share?
(a) ` 272
(b) ` 262
(c) ` 258
(d) ` 200
Passage (Q.16-18] :
16. A wire bent in the form of a square encloses an area of 5929 2 cm The length of the wire is
(a) 830 cm
(b) 308 cm
(c) 803 cm
(d) 83 cm
17. The area enclosed, if the same wire is bent to form a circle, is
(a) 5746 2 cm
(b) 7564 2 cm
(c) 5764 2 cm
(d) 7546 2 cm
18. The length of each side of the square is
(a) 77 cm
(b) 308 cm
(c) 803 cm
(d) 830 cm
Part : C (3 × 4 = 12 Marks) (4R – 0W
Choose The Correct Options : (One Or More Correct Options)
19. Which of the following statement is/are incorrect?
(a) > y x x y , if x = 2 and y = 4
(b) x = 1 for all values of x
(c) – – > y x x y if x = -103 and y = -104
(d) > y x x y , if x = 4 and y = 2
20. Which of the following system of equations has infinitely many solutions?
(a) 5x – 4y = 20, 7.5x – 6y = 30
(b) 2x – 6y = 5, 3x – 3.5y = 8.5
(c) x + 5y – 3 = 0, 3x +15y – 9 = 0
(d) none of these
Part : D (3 × 3 = 9 Marks) (3R – 1W)
Read The Following Passage And Choose The Correct Option:
Passage
Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box.
22. The probability that the number on the card is a prime number less than 20, is
(a) 9/100
(b) 2/25
(c) 1/10
(d) 3/50
23. The probability that the number on the card is an even number is
(a) 1/2
(b) 49/100
(c) 2/25
(d) 3/50
24. The probability that the number on the card is a number which is a perfect square, is
(a) 1/10
(b) 2/25
(c) 9/100
(d) 1/20
Part : E (2 × 3 = 6 Marks) (3R – 0W)
ASSERTION AND REASONING: (Questions with Assertion A and Reason R)
Answer Codes: (a) Both A and R are true and R is correct explanation of A
(b) Both A and R are true but R is not correct explanation of A.
(c) A is true, R is false
(d) A is false, R is true
25. Assertion (A) : LCM of 42x(x – 2)2 (x – 3)3 and 2 3 14x (x -1)(x – 2) is 2 3 3 42x (x -1)(x – 2) (x – 3) .
Reason (R) : Lowest common multiple is the product of all the factors (taken once) of the polynomials given with their highest exponents respectively.
26. Assertion (A) : In the given circle ÐACB = ÐADB = 90º
Reason (R) : An angle in a semi-circle is a right angle.
Chemistry
Part : A (11 × 3 = 33 Marks) (3R – 1W)
Choose The Correct Option :
31. In 0.32 gm. of methane, the number of moles is —
(a) 0.002
(b) 0.20
(c) 2
(d) 0.02
32. For the isotope 13 6C the number of neutrons is —
(a) 6
(b) 7
(c) 19
(d) 13
33. Which of the following oxides react with both HCl and NaOH?
(a) CaO
(b) N2O5
(c) CO2
(d) ZnO
34. The molecular formula of ammonia is NH3 . Therefore the number of hydrogen atoms in 34 gms of ammonia will be—
(a) 3 × 6.023 × 23 10
(b) 6.023 × 23 10
(c) 34 × 6.023 × 23 10
(d) 6 × 6.023 × 23 10
35. A compound of ammonia which sublimes on heating is—
(a) ammonium sulphate
(b) ammonium nitrate
(c) ammonium chloride
(d) ammonium nitrite
36. Which of the following is the composition of red lead?
(a) PbO
(b) PbO2
(c) Pb3O4
(d) PbI2
37. 10 g of a monoatomic gas at an atmospheric pressure is cooled from 273ºC to 0ºC keeping volume constant; its pressure would become:
(a) 273 atm
(b) 1/2 atm
(c) 2 atm
(d) remains constant
38. Which of the following gives black precipitate with H2S?
(a) Cupric chloride
(b) Cadmium chloride
(c) Zinc chloride
(d) Ferric chloride
39. The reducing agent used in the blast furnace to reduce Fe2O3 to Fe is
(a) coke
(b) carbon
(c) lime stone
(d) carbon monoxide
40. Which of the following salts would give SO2 with dil.H2SO4 and also decolourises bromine water?
(a) Na2SO4
(b) NaHSO4
(c) Na2SO3
(d) Na2S
41. Aluminium is extracted by
(a) heating sodium aluminium silicate to a high temperature
(b) treating crtyolite with sodium hydroxide solution under pressure
(c) heating aluminium oxide with coke in a furnace
(d) the electrolysis of molten aluminium oxide in cryolite
Part : B (7 × 4 = 28 Marks) (4R – 1W)
Choose The Correct Option :
42. The major component of CNG is
(a) Methane
(b) Ethane
(c) Propane
(d) Butane
43. Which of the following would contain the same number of atoms as 12 g. of magnesium? (At wts.: Mg = 24; C = 12; Ca = 40, O = 16, K = 40)—
(a) 12 g. of carbon
(b) 20 g. of calcium
(c) 32 g. of oxygen
(d) 40 g. of potassium
44. When phosphorus is heated with strong sodium hydroxide solution?
(a) Oxidation takes place
(b) Hydroxide is formed
(c) An inflammable gas evolves
(d) No reaction takes place
45. Electron affinity is positive when
(a) O- is formed from O atom
(b) 2 O – is formed from O- ion
(c) O+ is formed from O atom
(d) 2 O + is formed from O+ ion
Part : C (3 × 4 = 12 Marks) (4R – 0W)
Choose The Correct Options : (One Or More Correct Options)
49. When 28 g of nitrogen gas occupying a volume of 22.4 litres at 0ºC and 1 atm. Temperature was heated to 273ºC the pressure became 2 atm. The new volume of the gas in litres, is—
(a) 44.8
(b) 11.2
(c) 22.4
(d) 89.6
50. Cryolite is—
(a) Sodium aluminium fluoride
(b) Magnesium silicate
(c) Calcium Magnesium Carbonate
(d) Sodium borofluoride
51. Which of the following represents disproportionation reaction
(a) 2 2Cu Cu Cu + + ¾¾® +
(b) 5 3I2 5I I – + ¾¾® +
(c) + H2O + Cl2 Cl ClO 2H – – ¾¾® + +
(d) OH 2HCHO HCOO CH3OH
Part : D (3 × 3 = 9 Marks) (3R – 1W)
Read The Following Passage And Choose The Correct Option:
Passage :
The concentration of solutions can be expressed in number of ways such that Normality, Molarity, Molality, Mole fractions, Strength, % by weight, % by volume and % by strength. The molarity of ionic compound is usually expressed as formality because we use formula weight of ionic compound.
Addition of water to a solution changes all these terms, however increase in temperature does not change molality, mole fraction and % by weight terms.
52. Volume of water required to convert 100 mL 0.5 M NaOH solution to 0.2 M NaOH solution is :
(a) 250 mL
(b) 150 mL
(c) 100 mL
(d) 400 mL
53. The equivalent weight of H3PO4 in the reaction (At weigth of P = 31) Ca(OH)2 + H3PO4 ¾¾®CaHPO4 + 2H2O is :
(a) 49
(b) 32.66
(c) 98
(d) 196
Physics
Part : A (11 × 3 = 33 Marks) (3R – 1W)
Choose The Correct Option :
61. Inertia of a body
(a) depends on the velocity of the body
(b) depends on the size of the body
(c) is determined by the matter content of the body
(d) depends on the shape of the body
62. A luminous object is kept at a distance D from a screen. In order to obtain the image of the same size as the object, the focal length of a convex lens to be inserted between them must be
(a) D
(b) D/2
(c) 2D
(d) D/4
63. A particle moving along the x-axis travels first 3m distance with velocity 3 1 ms- and the second 3 m distance with velocity 6 1 ms- . The average velocity of the particle is
(a) 4 1 ms-
(b) 2 1 ms-
(c) 4.5 1 ms-
(d) 6 1 ms-
64. A piece of ice, with a stone embedded inside it, is floating in water contained in a vessel. When the ice melts completely, the level of water in the vessel
(a) remains unchanged
(b) rises
(c) falls
(d) falls in the beginning and rises to the same level later
65. A ray of light strikes a glass plate at an angle of 60°. If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is :
(a) 1/2
(b) 3/2
(c) 3/2
(d) 3
Part : B (7 × 4 = 28 Marks) (4R – 1W)
Choose The Correct Option :
72. In the figure shown the current flowing through 2R is:
(a) from left to right
(b) from right to left
(c) no current
(d) none of these
73. A body starts from rest and uniformly accelerated for 15 sec. The distance traveled in first 5 sec is S1 , next 5 sec is S2 & last 5 sec is S3 then S1 :S2 :S3 =
(a) 1 : 2 : 4
(b) 1 : 4 : 9
(c) 1 : 3 : 5
(d) 1 : 1 : 1
74. A light and a heavy body have equal momentum. Which one has greater kinetic energy?
(a) the light body
(b) both have equal kinetic energy
(c) the heavy body
(d) data given is incomplete
75. The specific resistance of a wire
(a) varies with its length
(b) varies with its cross-section
(c) varies with its mass
(d) does not depend upon its length, cross-section and mass
77. A boy has two spare light bulbs in his drawer. One is marked 240 V and 100 W and the other is marked 240 V and 60 W. He tries to decide which of the following assertions are correct ?
(a) The 60 W light bulb has more resistance and therefore burns less brightly
(b) The 60 W light bulb has less resistance and therefore burns less brightly
(c) The 100 W bulb has more resistance and therefore burns more brightly
(d) The 100 W bulb has less resistance and therefore burns less brightly
Part : C (3 × 4 = 12 Marks) (4R – 0W )
Choose The Correct Option: (One Or More Correct Options)
79. Identify the statement explaining the correct difference between conduction, convection and radiation.
(a) Conduction and convection require material medium but radiation does not required material medium
(b) Conduction transfers heat without transporting matter but convection transfers heat with transportation of matter.
(c) The radiation mode of heat transfer cannot be eliminated
(d) None of these
80. A particle moving along a circular path with constant speed is
(a) in equilibrium
(b) moving with varying velocity
(c) accelerating towards the centre of the rotation
(d) constantly pulled towards the centre
81. When light ray traveling in air enters into a medium of refractive index µ .
(a) its speed decreases by µ times
(b) its frequency decreases by µ times
(c) its wavelength decreases by µ times
(d) all of these
Part : D (3 × 3 = 9 Marks) (3R – 1W)
Read The Following Passage And Choose The Correct Option:
Passage :
The fig. shows a network of five resistances and a battery.
82. The current coming out of the battery is
(a) 2.5 A
(b) 3A
(c) 4A
(d) none of these
83. The total resistance of the network across the battery is
(a) 5W
(b) 6W
(c) 3.5W
(d) none of these
84. Total power consumed in resistor’s is
(a) 45 Kilo Watt
(b) 54 Watt
(c) 45 Watt
(d) none of these
Part : E (2 × 3 = 6 Marks) (3R – 0W)
Assertion And Reasoning: (Questions With Assertion A And Reason R)
Answer Codes: (a) Both A and R are true and R is correct explanation of A
(b) Both A and R are true but R is not correct explanation of A.
(c) A is true, R is false
(d) A is false, R is true
85. Assertion (A) : When velocity of a particle is zero then acceleration of particle is also zero..
Reason (R) : Acceleration is equal to rate of change of velocity.
86. Assertion (A): On a rainy day, it is difficult to drive a car or bus at high speed
Reason (R) : The value of coefficient of friction is lowered due to wetting of the surface
Answer Key
1. a 2. b 3. a 4. b 5. b 6. d 7. a 8. d 9. d 10. c
11. c 12. b 13. a 14. a 15. a 16. b 17. d 18. a 19. abc 20. ac
21. ab 22. b 23. a 24. c 25. a 26. a 27. d 28. c 29. b 30. a
31. d 32. b 33. d 34. d 35. c 36. c 37. b 38. a 39. d 40. c
41. d 42. a 43. b 44. c 45. b 46. c 47. a 48. b 49. c 50. a
51. abcd 52. b 53. a 54. c 55. a 56. b 57. c 58. bc 59. cd 60. ac
61. c 62. d 63. a 64. c 65. d 66. d 67. b 68. d 69. b 70. c
71. a 72. b 73. c 74. a 75. d 76. a 77. a 78. a 79. abc 80. bcd
81. ac 82. b 83. a 84. c 85. d 86. a 87. c 88. ad 89. bc 90. ad