DIAGNOSTIC TEST PAPER

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DIAGNOSTIC TEST PAPER Time: 90 Minutes Total Marks: 400 Use a Black or Blue Ball Point Pen and darken the correct circle fully. IMPORTANT INSTRUCTIONS: 1.

1 DIAGNOSTIC TEST PAPER Time: 90 Minutes Total Marks: 400 Use a Black or Blue Ball Point Pen and darken the correct circle fully. IMPORTANT INSTRUCTIONS: 1. Do not open this Test Booklet until you are asked to do so.. There are THREE sections in this paper. Section I Mathematics Section II Physics Section III Chemistry 3. Each question has only one correct option. 4. Marking Scheme Correct Answer: 4 Marks 5. Darken ONLY ONE CIRCLE for each question as shown in the example below: Wrong Wrong Wrong Correct B C D B C X B C D B C D 6. Rough work is to be done on the paper provided for this purpose in Test Booklet only. 7. Do not write or make any markings on the OMR Sheet.

2 SECTION I MATHEMATICS 1. If cos sin = sin then cos + sin = A) 0 B) cos C) sin D) 1. If (sin + cosec ) + (cos + sec ) = k + tan + cot, then k = A) 9 B) 7 C) 5 D) 3 3. If sin + sin = 1, then cos + cos 4 = A) 0 B) C) 1 D) 4. If sec = a + 1 4a then sec + tan = A) a B) a C) 3a D) 4a 5. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos B + cos C + cos D = A) 4 B) 1 C) 0 D) 1 6. The last digit of the number (3) 3 is... A) 4 B) 6 C) 8 D) 7. If n (A x B) = 15, n(a) = 3, then n (B) = A) 1 B) 5 C) 45 D) The value of sin 5 cos If a) 0 B) 1 C) 1 _ D) 1 a) 4 B) 1 C) 5 D) 9 x a a b a a b then 3 x 3 bx a) a B) b C) 3a D) 4a The value of sin 70 = a) sin B) cos C) cos D) sec 1. p : she is beautiful, q: she is intelligent. The symbolic form of she is neither beautiful nor intelligent, is A) p q B) (~ p) q C) p (~ q) D) (~ p) (~ q) 13. The mean proportional between 11 5 and in the form of a b is 14. A) B) C) D) A) 1 B) 1 C) 1 3 D)

3 15. A horse is tied to a post by a rope 35 m long. If the horse moves always keeping the rope tight in a fixed direction, the distance it covers to make an angle of 7 o is A) m B) 33 m C) 44 m D) 66 m 16. The points which divide internally and externally the line segment joining the points (1, 7), (6, 3) in the ratio : 3 are A) (3, 3), (15, 15) B) (3, 3) (15, 15) C) (3, 3), (9, 7) D) (3, 3), (9, 7) 17. Find the harmonic conjugate of (7, 5) w.r.t (4, ), (9, 7) is A) (19, 17) B) (19, 17) C) (19, 17) D) (19, 17) 18. The three points (, 4), (4, ), (7, 1) A) are collinear B) form an equilateral triangle C) form a right angle triangle D) form an isosceles triangle 19. The circumcentre of triangle formed by (, 5), (, 5), (4, 5) is A) (, 5) B) (, 5) C) (4, 5) D) (3, 0) 0. If (1, ), (4, 3), (6, 4) are the mid points of the sides BC, CA, ABof ABC, then A = A) (9, 5) B) (3, 3) C) (1, 1) D) (9, 5) 1. The median of 15, 17, 13, 19, 0, 1, 16, 14, 18, is A) 16 B) 34 C) 18.5 D) For what value of k, the mode of the data 3, 5, 7, 4, 7, 8, 3, 6, 7, 4, k, 3 is 7? A) 4 B) 3 C) 7 D) Each interior angle of a regular polygon of 10 sides is A) 1 o B) 7 o C) 36 o D) 144 o 4. If the difference between an exterior angle of a regular polygon of n sides and an exterior angle of a regular polygon of (n + 1) sides is 5 o, then n = A) 7 B) 8 C) 5 D) 9 5. The number of diagonals of a regular pentagon is A) 5 B) 10 C) 6 D) 8 6. The value of 1 o is approximately...radians A) 1 B) 7 7. The characteristic of log is = C) D) A) 1 B) 3 C) D) 1 8. The value of log 7 5.log 5 7 = A) 1 B) C) 7 D) 5 9. In the figure AOC = 10 o, then ABC = A) 50 o B) 60 o C) 115 o D) 55 o A B O 10 o C

4 30. From the figure BAY = A) ABD B) BAX C) BOA D) BCA X C A O B Y 31. The numerator of 3. If a a b a a b a a b a a b A) a B) b C) a b D) 4a b 1 a a A) then a equals 3 a 33. The factors of 4 x x are is B) 3 3 C) 18 D) 7 7 A) x 7, x 6 B) x 7, x 6 C) x 7,6 x D) x 7, x The point,3 lies in the A) 1 st quadrant B) second quadrant C) 3 rd quadrant D) 4 th quadrant 35. If,1 and x y 1,0 lie on the line 1, then the values of a, b are a b A) a 1, b 1 B) a 1, b 1 C) a, b 1 D) a 1, b 36. The distance between M 1,5 and,5 N x is 8 units. The value of x is A) 9 or 9 B) 7 or 9 C) 9 or 7 D) 7 or The sides of a triangular field are 33m, 44m and 55m. The cost of leveling the field at the rate of Rs. 1.0 per m is A) Rs B) Rs C) Rs D) Rs Two cylinders of same volume have their heights in the ratio 1 : 3 then the ratio of their radii A) 3 :1 B) :1 C) 5 : D) : If the mean of the five observations x, x 4, x 8, x 1, x 16 is 15 then x is A) 5 B) 6 C) 7 D) In a cricket match, a batsman hits a boundary 16 times out of 30 balls he plays. Then the probability that he did not hit a boundary is A) 7 15 B) 8 15 C) 15 D) 1 15

5 SECTION II PHYSICS 41. A concave spherical mirror has a radius of curvature of 100 cm. What is its focal lengh A) 50 cm B) 100 cm C) 00 cm D) 300 cm 4. When viewed vertically a fish appears to be 4 meter below the surface of the lake. If the index of refraction of water is 1.33, then the true depth of the fish is A) 5.3 meters B) 3.3 meters C) 4.3 meters D) 6.3 meters 43. Rainbow is caused due to A) Reflection of sun light air B) Dispersion of sun light from water drops C) Refraction of sun light from water drops D) Diffraction of sun rays from water drops 44. Energy stored in a capacitor is A) 1 QV B) QV C) 1 QV coulomb charge is flowing in 0.5 second from a point in an electric circuit then value of electric current in amperes will be A) 10 B) 40 C) D) Three resistances 4 each are connected in the form of an equilateral triangle. The effective resistance between two corners is A) 8 B) 1 C) 3 / 8 D) 8 / Which of the following terms does not represent electrical power in a circuit? A) I R B) 48. Magnetic field lines start D) QV IR C) VI D) V / R A) on N-poles B) on S-poles C) on current-carrying wires D) Nowhere 49. To convert mechanical energy into electrical energy, one can use A) DC dynamo B) AC dynamo C) motor D) (A) & (B) MeV of energy may be obtained per fission of U. A reactor is generating 1000kW of power. The rate of nuclear fission in the reactor is 8 16 A) 1000 B) 10 C) D) An object is placed 0.0 cm in front of a concave mirror whose focal length is 5.0cm. Where is the image located? A) cm in front of the mirror B) cm behind the mirror 1 1 C) cm in front of the mirror D) cm behind the mirror

6 5. If a body is positively charged, then it has A) excess of electrons B) excess of protons C) deficiency of electrons D) deficiency of neutrons 53. If the potential of a capacitor having capacity 6 F is increased from 10V to 0V, then increase in its energy will be A) 4 10 J B) 4 10 J C) 9 10 J D) 1 10 J 54. A charge q is placed at the centre of the line joining two exactly equal positive charges Q. The system of three charges will be in equilibrium, if q is equal to A) Q Q B) Q C) Q D) Three resistors of 4.0, 6.0 and 10.0 are connected in series. What is their equivalent resistance A) 0 B) 7.3 C) 6.0 D) The resistance between two rectangular faces of a block of dimensions 4cm 4cm 8 10cm of margin r ohm, m, will be A) 4.8 B) 3.8 C) 30 D) The length of a wire is doubled and the radius is doubled. By what factor does the resistance change A) 4 times as large B) twice as large C) unchanged D) half as large 58. What is the current through a 5.0 ohm resistor if the voltage across it is 10V A) zero B) 0.50 A C).0A D) 5.0A 59. A particle is dropped from a height h. It takes 4 sec to reach the ground level. The value of h will be g 10 m / s A) 30 m B) 40 m C) 80 m D) 10 m 60. A body is dropped from a balloon moving up when it is at a height of 74.4 m. If it takes 6 sec to reach the ground, find the velocity of the balloon. A) 4.9 m/s B) 8.5 m/s C) 11 m/s D) 17 m/s 61. A car of mass 1000 kg moves in a circular path with a constant speed of 16 m/s. It is turned by 90 0 after travelling 68 metres on the road. The centripetal force acting on the car is A) 160 N B) 30 N C) 180 N D) 640 N 6. The length of the simple pendulum is increased by %. Then the percentage of increase in time period is A) 1 % B) 0.1 % C) % D) 0. %

7 63. In stationary waves A) Energy is uniformly distributed B) Energy is maximum at nodes and minimum at antinodes C) Energy is minimum at nodes and maximum at antinodes D) None of the above 64. The blue colour of sky is due to A) scattering B) absorption C) reflection D) diffraction 65. A ray of light travelling in certain liquid incidents at an angle of 45 0 on the liquid glass interface. The angle of refraction is 3 and g A) 90 0 B) 60 0 C) 45 0 D) Two magnets of moment M and M are tied at an angle of 60 0 to each other. The magnetic moment of the combination is A) M B) 3M C) 5 M D) 7 M 67. The resistance of a wire is R. Resistance of another wire of twice the length and twice the diameter is R A) B) R C) 4 R D) 16 R 68. In the figure the equivalent resistance between points X and Y will be A) 8 B) 1 C) 16 D) The emf of a primary cell is volts. When it is shortened then it gives a current of 4A. Its internal resistance will be A) B) 5 C) 0.5 D) Which quantity remains same in isobars? A) Number of neutrons B) Number of protons C) Mass number D) All of the above

8 SECTION III CHEMISTRY grams of NO contains same number of molecules as A) 8 grams of oxygen B) 8g of carbon monoxide C) 16 grams of SO D) grams of CO 7. It is found that with an increase in temperature by 40%, the volume decreases by 0% with change in pressure. Find the percentage change in pressure. A) 40% decrease B) 60% decrease C) 75% increase D) 80% increase 73. The maximum number of electrons that can be accommodated in p sub shell is A) B) 4 C) 6 D) The electronic configuration of chromium is A) [Ar] 3d 5 4s 1 B) 3d 5 4s 1 C) [Ar] 3d 4 4s D) 3d 4 4s 75. Arrange O, F, Cl, N in the descending order of their electro negativity. A) O > F > Cl > N B) F > O > N > Cl C) F > N > O > Cl D) Cl > F > O > N 76. An element with atomic number 3 belongs to A) 4 th period, VIA group B) 3 rd period, IVA group C) 4 th period, IVA group D) 5 th period, VA group 77. Arrange the following in increasing order of their bond lengths. C C, C = C, C C A) C C < C = C < C C B) C = C < C C < C C C) C C < C C < C = C D) C C < C = C < C C 78. The number of and bonds in C H is. A) 0 and 4 B) and C) 3 and D) 4 and 79. Which of the following is not a base according to any of the theories? A) Mg(OH) B) NH 3 C) H PO 4 D) BF On increasing temperature, the conduction in metallic conductors A) increases B) decreases C) remains constant D) None 81. The metal deposited first at the cathode when a solution containing Fe +, Cu + is electrolyzed. A) Fe B) Cu C) Fe +3 D) Both 1& 8. Electromagnetic separation is employed for the concentration of those ores in which A) the ore is magnetic B) the gangue is magnetic C) both the ore and the gangue are magnetic D) either the ore or the gangue is magnetic 83. The glass containing litharge as an ingredient makes the optical fibres glow because it A) increases the refractive index B) has low density C) is highly thermally resistant D) scatters all the radiations incident on it. 84. Which of the following is not an ingredient of clinker cement? A) Calcium silicate B) Aluminium silicate C) Calcium aluminium silicate D) Gypsum

9 85. Which of the nitrogenous fertilizers can meet the needs for immediate requirement of crop? A) Potassium nitrate B) Super phosphate of lime C) Calcium cyanamide D) CAN 86. Controlled (partial) hydrogenation of ethyne gives which of the following compounds? A) Ethane B) Ethene C) Methane D) None 87. Number of moles of oxygen required for the combustion of one mole of an alkane is equal to n 1 A) n + 1 B) C) 3 n 1 D) n 88. What is the correct structural formula of 3 methyl 1 pentyne H H H H C C C C CH A) H H H B) CH 3 H C) H C C C C CH 3 D) CH 3 H HC C C C CH 3 H CH 3 CH 3 H 89. Which of the following enzymes is used to convert glucose into ethyl alcohol? A) Diastase B) Maltase C) Zymase D) Invertase 90. In case of oligosaccharides, the monosaccharide units are joined by A) glycoside bonds B) peptide bonds C) dative bonds D) covalent bonds 91. How many molecules would be there in 0.01 moles of sodium hydroxide? A) B) C) D) Dalton s law of partial pressures can not hold good for A) NO + O B) H + Cl C) CO + O D) NH 3 + He 93. The electronic configuration in which Pauli s exclusion principal or Hund s rule is not violated is A) B) s p x p y p z s p x p y p z C) D) s p x p y p z s p x p y p z 94. Transition metals can exhibit variable valency. It is because of A) the smaller atomic radius B) the high screening effect C) the very less energy difference between (n 1) d sub shell and ns sub shell D) the high nuclear charge

10 95. In the sixth period of long form of periodic table, the orbitals which are completely filled are A) 6s, 6p, 5d, 5f B) 6s, 6p, 6d, 6f C) 6s, 5f, 6d, 6p D) 6s, 4f, 5d, 6p 96. An element X has low ionization energy and another element Y has high electron affinity. The bond formed between them could be A) ionic B) polar covalent C) co-ordinate covalent D) non polar covalent 97. Expanded octet occurs in A) NH 3 B) PCl 5 C) H O D) O 98. The aqueous solution of non-electrolytes contains.. A) protons B) ions C) electrons D) molecules 99. The amount of sodium produced by passage of moles of electrons in the electrolysis of fused NaCl is. A) 3 g B) 46 g C) 11.5 g D) 58.5 g 100. Lustre of metal is attributed to A) loosely bound electrons present in the valence shell of the metal atoms B) strong electrostatic force of attraction between electrons and metal kernels. C) omnidirectional nature of metallic bond. D) None of these

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 04 (2017-18) SUBJECT: PHYSICS (043) BLUE PRINT : CLASS XII UNIT VSA (1 mark) SA - I (2 marks) SA II (3 marks) VBQ (4 marks) LA (5 marks) Total