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Class 10 English Medium

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Alka Paunikar
Parle Tilak Vidyalaya, Mumbai
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Mathematics 1. If log xy = 100 and log2x = 10, then the value of y is: (A) 21000 (B) 2100 2000 (D) 210000 (C) 2 cm, then radius of the circle is (A) 3 cm (B) 2 cm (C) 4 cm (D) 8 cm 11. 2. Find the unit digit of (795 358) (A) 6 (B) 4 (D) None of these (C) 3 In a ABC, C = 3 B = 2( A+ B). Find the three angles. (A) 20 , 40 , 120 (B) 60 , 20 , 100 (C) 120 , 20 , 40 (D) 10 , 40 , 130 3. 12. Find the value of the trigonometric expression A s income is 25% more than B's income B's income in terms of A s income is: (A) 75% (B) 80% (C) 90% (D) 96% 5. The pair of equations has = 3 81, = 81 3 x+y x y (A) no solution (B) the 1 1 solution = x 2= , y 2 2 2 (C) The solution x = 2, y = 2 1 8 (D) the solution = x 2= , y 1 7 8 6. The equation has: x +1+ x 1 = 0 (A) one real solution (B) two real solution (C) No solution (D) None of these 7. If the equation has x 2 2kx 2x + k 2 = 0 equal roots, the value of k must be 1 (A) zero (B) either zero or 2 1 1 1 (C) (D) either or 2 2 2 8. The area of triangle whose vertices are (a, c+a), (a, c) and (a, c-a) are (A) a (B) b (C) c (D) a +c 9. The points (0,-1), (-2,3), 6, 7) and (8,3) are (A) Collinear (B) vertices of a parallelogram which is not a rectangle (C) vertices of a rectangle, which is not a square (D) None of these 10. ABC is a right-angle triangle, right angled at A. A circle is inscribed is t. The lengths of the two sides containing the right angle are 6 cm and 8 (A) 0 (C) 1/3 3 (B) 3 3 (D) 1 13. If a cot + b cosec = p and b cot + a cosec q, then p2-q2 is equal to: (A) a2 b2 (B) b2 a2 2 2 (C) a + b (D) b a = 14. The score of 10 students of a class test is given as 44, 54, 46, 63, 55, 42, 34, 48, 70, 38 calculate the median: (A) 48 (B) 46 (C) 47 (D) 49 15. If the mean and median of a set of numbers are 8.9 and 9 respectively, then the mode will be (A) 7.2 (B) 8.2 (C) 9.2 (D) 10.2 16. A bulb is taken out at random from a box of 600 electric bulbs that contains 12 defective bulbs. Then the probability of a non-defective bulb is (A) 00.2 (B) 0.98 (C) 0.50 (D) None The area of the four wall of a room is 660m2 and length is twice the breath, the height being 11m. Find area of the ceiling. (A) 100 m2 (B) 150 m2 2 (C) 200 m (D) 250 m2 17. 18. The curved surface (area) of right circular cone of radius 11.3 cm is 355 cm2. What is the slant height of the cone? ( = 22/7) (A) 8 cm (B) 10 cm (C) 12 cm (D) 14 cm 19. A man standing on the bank of the river observes that the angle subtended by a tree on the opposite bank is 60 .When he retires 36metres from the bank, he find the angle to be 30 . The breadth of the river is (A) 12 3 m (B) 18m (C) 12m (D) 27m 20. A ladder is inclined to a wall making an angle of 30 with it. A man is ascending the ladder at the rate of 2metres/second. How fast is he approaching the wall? (A) 2m/s (B) 1.5m/s (C) 1m/s (D) 2.5m/s 21. If O is the centre of the circle as shown in figure, the value of CBD? 23. The area of a circle is 154 sq. m. Find the length of the side of the inscribed square (A) 7 m (B) 8 2 m (C) 7 2 m (D) None of these 24. The straight lines x + y 4 = 0, 3x + y 4 = 0 and x + 3y 4 = 0 forma triangle which is (A) isosceles (B) right angled (C) equilateral (D) none of these 25. A parallelogram and a rectangle are on the same base and between the same parallel lines. Then the perimeter of the rectangle is _________. (A) equal to the perimeter of the parallelogram (B) greater than the perimeter of the parallelogram (C) less than the perimeter of the parallelogram (D) none of these 26. Seven equal cubes each of the side 5 cm are joined end to end. Find the surface area of the resulting cuboid. (A) 750 cm2 (B) 1500 cm2 (C) 2250 cm2 (D) 700 cm2 27. The least value of cos + sin is (A) 2 (B) 1 (D) Not defined (C) 0 28. (A) 45 (C) 55 22. (B) 50 (D) 60 In the given figure, the values of x and y are respectively given by If in a data, 10 numbers are arranged in increasing order. If the 7th entry is increased by 4, then the median increases by (A) 5 (B) 4 (C) 6 (D) 0 29. Two dice are rolled, find the probability that the sum is equal to 4 (A) 1/2 (B) 3/4 (C) 1/12 (D) 0 30. If the selling price of 12 articles is equal to the cost price of 15 articles, then the percentage gain or loss is ] (A) 25% gain (B) 25% loss (C) 30% gain (D) 30% loss (A) 60 , 60 (C) 60 , 40 (B) 40 , 60 (D) 40 , 20 Science 31. There are two wires of the same length and of the same material and radial r and 2r. The ratio of their specific resistance is: (A) 1 : 2 (B) 1 : 1 (C) 1 : 4 (D) 4 : 1 32. Reading of ammeter in ampere for the following circuit is . 37. According to Faraday's law, the total charge induced in a conductor that is moved in a magnetic field depends upon: (A) Initial magnetic flux (B) Final magnetic flux (C) Rate of change of magnetic flux (D) Change in magnetic flux 38. The frequency of AC produced in India is (A) 100 HERTZ (B) 75 HERTZ (C) 50 HERTZ (D) 40 HERTZ 39. Biogas is a mixture of: (A) CO + H2 + CH4 (B) CO + H2 (C) CO2 + CH4 + H2 + H2S (D) CO2 + N2 40. (A) 0.8 (C) 0.4 (B) 1 (D) 2 33. Three identical bulbs are connected in parallel with a battery. The current drawn from the battery is 6 A. If one of the bulbs gets fused, what will be the total current drawn from the battery ? (A) 6A (B) 2A (C) 4A (D) None of these 34. A convex mirror of focal length f (in air) is immersed in a liquid (,u=4/3). The focal length of the mirror in liquid will be: 3 4 (A) f 4 3 7 (D) f 3 (B) f (C) f 35. Two thin lenses of focal lengths 20 cm and 25 cm are placed in contact. The effective power of the combination is (A) 9 diopters (B) 45 diopters (C) 6 diopters (D) 9 diopters 36. C.G.S. unit of magnetic field intensity is (A) Tesla (B) Gauss (C) Weber (D) None of these When a beta particle is given out, the atomic number of the parent atom : (A) Increases by unity (B) Decreases by unity (C) Remains the same (D) Is halved 41. If pH of solution is 13, means that it is (A) weakly acidic (B) weakly basic (C) strongly acidic (D) strongly basic 42. Food cans are coated with tin and not with zinc because (A) Zinc is costlier than tin. (B) Zinc has higher melting point than tin. (C) Zinc is more reactive than tin. (D) Zinc is less reactive than tin. 43. Rutherford's scattering experiment is related to the size of (A) nucleus (B) atom (C) electron (D) neutron 44. The electronic configuration of an element with atomic number 29 is (A) 1s2, 2s2, 2p6, 3s2, 3p6, 3d9, 4s2 (B) 1s2, 2s2, 2p6, 3s2, 3p6, 3d10, 4s1 (C) 1s2, 2s2, 2p6, 3s2, 3p6, 3d8, 4s2 4p1 (D) 1s2, 2s2, 2p6, 3s2, 3p6, 3d7, 4s2, 4p2 45. The element with atomic number 35 belongs to (A) f - block (B) d - block (C) p - block (D) s block 46. Which of the following is the increasing order of electron affinity of halogens ? (A) Cl < Br < I < F (B) I < Br < F < Cl (C) F < Cl < Br < I (D) Br < F < I < CI 47. Which of the following is an example of oxidation reaction? (A) Sn +2 2e Sn +4 (B) Fe +3 e Fe +2 (C) Cl 2 + 2e 2Cl (D) None of these ZnSO4 + H2 48. Zn + H2SO4 (dil) Above equation is a (A) Decomposition reaction (B) Single displacement reaction (C) Combination reaction (D) Synthesis reaction 49. IUPAC name of second member of homologous series of carboxylic acids is (A) methanoic acid (B) ethanoic acid (C) propanoic acid (D) butanoic acid Glacial acetic acid is 50. (A) 100% acetic acid free of water. (B) solidified acetic acid. (C) gaseous acetic acid. (D) frozen acetic acid. 51. Pepsinogen is secreted by (A) gastric glands (B) intestinal glands (C) chief cells (D) parietal cells 52. If a photosynthesizing plant releases oxygen containing more than the normal amount of 18O, it is concluded that the plant has been supplied with (A) C6H12O6 containing 18O (B) H2Ocontaining 18O (C) CO2 containing 18O (D) oxygen in the form of ozone 53. Lack of antidiuretic hormone (ADH) causes water loss from the body by (A) increased water loss through expiration (B) excessive urination (C) by combination of all the above factors (D) increased sweating 54. The smallest bone in mammals is (A) septomaxillary (B) dentary (C) femur (D) stapes 55. Urea is transported through (A) RBCs (B) WBCs (C) Plasma (D) All of the above 56. The genetic information is stored in (A) DNA (B) RNA (C) Ribosome (D) ER 57. Population explosion has occurred in the last (A) 500 years (B) 300 years (C) 100 years (D) 50 years 58. Which is related to males? (A) Oral pills (B) Tubectomy (C) Vasectomy (D) None of the above 59. During rainy seasons doors made of wood generally swell up due to (A) osmosis (B) imbibition (C) bad quality of wood (D) poor workmanship 60. Digestion of food in human starts from (A) duodenum (B) small intestine (C) mouth (D) large intestine Logical Reasoning Direction (61- 62): In the figure given below, there are three intersecting circles each representing certain section of people. Different regions are marked a - g. Read the statements in each of the following questions and choose the letter of the region which correctly represents the statements. 61. Painters who are neither Chinese nor musicians (A) b (B) c (C) f (D) g 62. Chinese who are painters as well as musicians (A) a (B) b (C) c (D) d 63. Rohan ranks seventh from the top and twentysixth from the bottom in a class. How many students are there in the class? (A) 31 (B) 32 (C) 33 (D) 34 64. How many 3s are there in the following sequence which are neither preceded by 6 nor immediately followed by 9? 9366395937891639639 (A) One (B) two (C) Three (D) Four 65. In each of the following questions, choose the correct mirror-image of the Fig. (X) From amongst the four alternatives 1, 2, 3 and 4 given along with it. The mirror represented by a line M1M2 (A) 1 (C) 3 (B) 2 (D) 4 Directions (66-68): Study the following information carefully and answer the questions below. A team of five is to be selected from amongst five boys A, B, C, D and E and four girls P, Q, R and S. Some criteria for selection are A and S have to be together P cannot be put with R. D and Q cannot go together. C and E have to be together. R cannot be put with B. Unless otherwise started, these criteria are applicable to all questions below 66. If two of the members have to be boys, the team will consist of (A) ABSPQ (B) ADSQR (C) BDSRQ (D) CESPQ 67. If two of the members are girls and D is one of the members, the members of the team other than D are (A) PQBC (B) PQCE (C) PSAB (D) PSCE 68. If including P at least three members are girls, the members of the team other than P are (A) QSAB (B) QSBD (C) QSCE (D) RSAD 69. Study the three dices given below. What number will be opposite to the side bearing number 2? (A) 4 (C) 6 (B) 3 (D) 5 70. Find the term which does not fit into the series given below. G4T, J10R, M20P, P43N, S90L (A) G4T (B) J10R (C) M20P (D) P43N In each of the following questions, five groups of letters are given. One of these groups is different from the other four. Find the odd one. (A) Kiwi (B) Penguin (C) Emu (D) Eagle 71. 79. In each of the following questions, one term in the number series is wrong. Find out the wrong term. 6, 15, 35, 77, 165, 221 (A) 35 (B) 77 (C) 165 (D) 221 78. Each of the following questions consists of five figures marked A, B,C, D and E called the Problem Figures. Select a figure from amongst the Answer Figure which will continue the same series as established by the five Problem Figures. 72. In each of the following questions, one term in the number series is wrong. Find out the wrong term. 2, 6, 24, 96, 285, 568, 567 (A) 6 (B) 24 (C) 285 (D) 567 73. Find the missing term. 1, 3, 12, 27, ? (A) 90 (B) 73 (C) 48 (D) 36 74. Find the missing term. 1, 3, 10, 21, 64, 129, 388, ? (A) 776 (B) 777 (C) 1164 (D) 1165 75. The following questions consist of two words each that have a certain relationship to each other, followed by four lettered pairs of words. Select the lettered pair that has the same relationship as the original pair of words. Circle : Diameter (A) Rectangle : Diagonal (B) Diameter : Radius (C) Square : Rectangle (D) Bisector : Angle (A) 1 (C) 3 80. (B) 2 (D) 4 Each of the following questions consists of five figures marked A, B,C, D and E called the Problem Figures. Select a figure from amongst the Answer Figure which will continue the same series as established by the five Problem Figures. 76. In each of the following questions, choose that set of numbers from the four alternative sets, that is similar to the given set. Given set : (6, 36, 63) (A) (7,49, 98) (B) (8, 64, 46) (C) (9, 84, 45) (D) (11, 111, 84) 77. In each of the following questions, five groups of letters are given. One of these groups is different from the other four. Find the odd one. (A) ECBFD (B) LQPOM (C) WSVTU (D) ROQNP (A) 1 (C) 3 (B) 2 (D) 4 General Knowledge 81. Which country has signed a deal to install first nuclear power plant in Egypt? (A) China (B) Russia (C) United States (D) Iran 91. 82. What is the range of the nuclear-capable Dhanush missile? (A) 250 KM (B) 350 KM (C) 450 KM (D) 500 KM 92. 83. Which state has launched Tourist Mitra, the tourist-friendly police force? (A) West Bengal (B) Karnataka (C) Gujarat (D) Andhra Pradesh 93. 84. 94. Which among the following countries has launched the Canadian communication satellite Telstar 12V? (A) China (B) Japan (C) Canada (D) Australia 85. Orange the world campaign, is related to which among the following organisations? (A) United Nations (B) OECD (C) NATO (D) World Bank 86. Which among the following union ministries has launched the scheme titled SAMBHAV ? (A) Ministry of Social Justice & Empowerment (B) Ministry of Power (C) Ministry of Railways (D) Ministry of Rural Development 87. The World Robot Conference 2015 was hosted by which country? (A) Japan (B) South Korea (C) Singapore (D) China 88. What amount of insurance is provided for Rupay classic card holders? (A) Rs. 50,000/- (B) Rs. 75,000/ (C) Rs. 1,00,000/- (D) Rs 2,00,000/89. On which date, the World Milk Day is observed? (A) June 1 (B) July 4 (C) October 25 (D) November 26 90. The idea of Solar Alliance has been mooted by which country? (A) China (B) India (C) Australia (D) USA Which country is the manufacturer of the Rafale fighter aircrafts? (A) USA (B) Russia (C) France (D) China The World Robot Olympiad 2016 will be held in which city? (A) Bangalore (B) Beijing (C) New Delhi (D) Tokyo In which country, a new form gold that is as light as air was created by scientists? (A) Japan (B) China (C) Switzerland (D) France Who has been declared the IAAF s male athlete of the year for 2015? (A) Will Claye (B) Christian Taylor (C) Usain Bolt (D) Ashton Eaton 95. Who among the following has been awarded the Freedom of the City of Cape Town? (A) Denis Goldberg (B) Ahmed Kathrada (C) Prakash Utsav (D) Govan Mebki 96. In what context, Advance Pricing Agreements are used? (A) Intellectual Property Rights (B) Taxation (C) Nuclear co-operation (D) Climate change 97. India co-developed the Barak-8 missile with which country? (A) Brazil (B) Indonesia (C) Israel (D) France 98. Which of the following countries is a member of the Nuclear Suppliers Group (NSG)? (A) India (B) Pakistan (C) Brazil (D) Iran 99. Who among the following has unveiled a stationary bicycle that can generate electricity in India? (A) Bharat Desai (B) C R Rao (C) Manoj Bhargava (D) Thomas Kailath 100. Who has won the 2015 Macau Open Grand Prix Gold Badminton tournament? (A) Saina Nehwal (B) P V Sindhu (C) Jwala Gutta (D) Ashwini Ponnappa

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