07. Practice Set SSC-CGL TIER I.pdf

March 25, 2018 | Author: manu | Category: Big Bang, Universe, Albert Einstein, Innovation, Nature


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PRACTICE SETSSC-CGL TIER-I Part A: General Intelligence & Reasoning Directions: In question nos. 1 to 8, select the related words/letters/number from the given alternatives. 1. DLK : GIN : : ? (A) BCD : ZFG (B) PRU : SUX (C) NFH : QCM (D) MSW : PPZ 2. NF : 12L : : WB : ? (A) 20T (B) 10J (C) 10N (D) 22V 3. ZXW : HFE : : PSU : ? (A) GJC (B) RVX (C) JCH (D) KHF 4. Candid : Indirect : : Honest : ? (A) Truthful (B) Frank (C) Kind (D) Untruthful 5. Threat : Insecurity : : ? (A) Disease : Cure (B) Sky : Rain (C) Challenge : Fight (D) Cry : Quarrel 6. Pride : Lion : : Shoal : ? (A) Cow (B) Monkey (C) Bird (D) Fish 7. Rabble : Plebeian : : ? (A) Intelligentsia : Elite (B) Gentry : Public (C) Royalty : Dishonour (D) Outer : Center 8. 216 : 81 : : 415 : ? (A) 99 (B) 200 (C) 100 (D) 74 Directions: In question nos. 9 to 14, find the one which is different from the remaining three. 9. (A) Scorpion (B) Octopus (C) Crocodile (D) Crab 10. (A) Cataract (B) Trachoma (C) Glaucoma (D) Eczema 11. (A) Cholera (B) Typhoid (C) Smallpox (D) Tetanus 12. (A) 121 (B) 216 (C) 196 (D) 81 13. (A) Mumbai (B) Kolkata (C) Allahabad (D) Hyderabad 14. (A) PK (B) GI (C) QJ (D) LO Directions: In question nos. 15 and 16, arrange the following words as per the order in the English dictionary. 15. 1. Dictate 2. Dictum 3. Diastole 4. Didactic 5. Dictionary (A) 3, 2, 1, 5, 4 (B) 3, 1, 4, 2, 5 (C) 3, 1, 5, 2, 4 (D) 3, 2, 5, 4, 1 16. 1. Cauldron 2. Cable 3. Calligraphy 4. Cactus 5. Cafe (A) 2, 4, 5, 1, 3 (B) 2, 4, 5, 3, 1 (C) 4, 5, 2, 1, 3 (D) 2, 1, 5, 3, 4 17. If the numbers starting with 880 are MTS numbers, how many MTS numbers are there in the given series? 808678 880880 880356 808805 880546 988067 880249 880508 880687 870456 891348 890086 844596 891234 889880 880009 (A) 8 (B) 9 (C) 7 (D) 6 Directions: In question nos. 18 to 22, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. 18. 9, 8 : : 13, 4 : : 7, 10 : : 5, ? (A) 13 (B) 12 (C) 18 (D) 11 19. 59, 59, 44, 44, 29, ?, ? (A) 14, 12 (B) 15, 30 (C) 14, 14 (D) 29, 14 20. Z, U, Q, N, ?, K (A) O (B) L (C) M (D) J 21. deb, ijg, nol, stq, ? (A) rsp (B) xzw (C) xyv (D) uvw 22. G3C, J5F, M8I, P12L, ? (A) S17O (B) Y17Z (C) S160 (D) X20P 23. What is the least number to be subtracted from 3262 to make it a perfect square? (A) 65 (B) 26 (C) 13 (D) 15 24. Megha and Shreya start from their office and both of them walk 15 km in opposite directions. Then, Megha turns to her left and walks 8 km and Shreya turns to her right and walks 8 km. How far are they now from each other? (A) 20 km (B) 30 km (C) 23 km (D) 16 km 25. R is taller than Q and Q is taller than P and S. T is shorter than S but not shorter than P. Who among the following is the shorterst? (A) S (B) T (C) P (D) Q 26. If 77 + 43 = 44 and 99 + 55 = 56, then 88 + 33 = ? (A) 44 (B) 48 (C) 55 (D) 52 27. If BRAIN is written as LAIPT, how can TEMPLE be written in that code? (A) CMSVRK (B) UFNQMF (C) GVNKOV (D) DNUWRJ 28. If ‘P’ denotes ‘÷’, ‘Q’ denotes ‘×’, ‘R’ denotes ‘+’ and ‘S’ denotes ‘–’ then find the value of 54 P 18 Q 19 S 8 R 2. (A) 47 (B) 51 (C) 50 (D) 60 29. Which of the following interchanges of signs would make the given equation correct? 36 – 84 ÷ 21 + 6 × 4 = 16 K KUNDAN Pointing to a person. 31. if any. 41. 34 to 37.” How was the woman related to the person? (A) Sister (B) Daughter (C) Mother (D) Wife Directions: In question nos. 31 to 33. You have to decide which of the given conclusions. F 37. square represents Teachers. “His mother is the only daughter of your father. what does ‘E’ represent? (A) The group of only males (B) The group of only doctors (C) The group of males and doctors (D) The group of females and doctors Directions: In question nos. Question Figure (A) 138 (C) 134 (B) 142 (D) 90 . Conclusions: I. 6 7 30 4 3 3 8 ? 6 2 9 4 20 2 8 (A) 8 (C) 15 (B) 12 (D) 36 (A) E (B) F (C) D. (A) Only conclusion I follows (B) Only conclusion II follows (C) Both conclusion I and II follow (D) Neither conclusion I nor II follows 39. 39 and 40.(A) + and – (B) ÷ and × (C) + and × (D) – and ÷ 30. No bird is a dog. from the given alternatives select the word which cannot be formed by using the letters of the given word. A circular transparent sheet with a pattern is given. In the given diagram. II. 38. Which figure is different from the rest? (D) C. (A) (B) (C) (D) 43. No cat is a dog. one or two statement(s) is/are given followed by two conclusions I and II. Statements: All birds are cats. (A) 2 (C) 5 (B) 3 (D) 4 (A) 12 (C) 8 (B) 7 (D) 9 35. follows from the given statements. VARIEGATED (A) GREAT (B) VERITY (C) EVE (D) TRADE Direction: In question nos. Which region represents Teachers who are Players? K KUNDAN 34. You have to consider the statement(s) to be true even if they seem to be at variance with commonly known facts. II. Some dogs are not birds. UNCONSCIOUS (A) NOISE (B) COUSIN (C) COIN (D) SUNNI 33. OBSTETRICIAN (A) RETAIN (B) TREAT (C) TREETOP (D) RABIES 32. E 42. 36. All men cannot do this work. In the figure given below. a man said to a woman. Some men can do this work. Statement: Every man can do this work. 40. Conclusions: I. find the missing numbers from the given responses. rectangle represents Players and triangle represents Workers. Figure out from amongst the four alternatives as to how the pattern would appear when the transparent sheet would be folded along the marked line. 7. Three different positions of a dice have been shown in the following figures. Question Figure (C) (D) K KUNDAN Answer Figures Answer Figures (A) (B) (C) (D) 50. 3. In the following question. 7. 2.Answer Figures Answer Figures (A) (B) (C) (D) Directions: In question nos. The science of improving a population by controlled . group the given figures into three classes on the basis of identical properties. 4 Answer Figures Part B: General Awareness (A) (B) (C) (D) 47. 2. 5. Question Figure (A) (B) (C) (D) 49. 5. 5. Find the number of dots opposite six dots? (A) 4 (B) 3 (C) 1 (D) 2 48. 6. 7. (B) It comprises Prime Minister and all Union Cabinet ministers. 4. when the mirror is held on the line AB? Question Figure Answer Figures (A) (B) 45. 2. 6. 9. Which of the following Answer Figures marked (A). 3. 9 (B) 1. 6. 9 (C) 1. 3. 8. 8. 8. 7. (B). 8. Question Figure 51. (D) The secretary of the Planning Commission acts as the secretary to the NDC. Find out the water image of the given group of letters. 2. 44 and 45 which Answer Figure will complete the pattern in the Question Figure? 44. excluding members of Planning Commission. 4. 3. Which of the following Answer Figures is the exact mirror image of the given Question Figure. 5. (C) and (D) satisfies the same conditions of placment of dots as in Question Figure? Question Figure (A) 1. (C) It comprises all Chief Ministers/Administrators of all Union Territories. (A) (B) (C) (D) 46. Which of the following statements is NOT correct with respect to the National Development Council (NDC)? (A) It is neither a constitutional body nor a statutory body and is listed as an advisory body to the Planning Commission. 6 (D) 1. 9. 52. 4. Rigveda 62. 2. Atharvaveda 4. breeding to increase the occurrence of desirable heritable characteristics is called (A) Immunology (B) Eugenics (C) Paleontology (D) Mycology Which of the following best defines unemployment? (A) There is scarcity of manpower at prevailing wage rate. (C) There are people who want to work but cannot find work at the prevailing wage rate. Which of the following is/are correct? (A) Only 1 (B) 1 and 2 (C) 2 and 3 (D) 1. Samaveda Codes: 1 2 3 4 (A) d a b c (B) a c b d (C) b d c a (D) a d c b The Sikh Guru who created the Gurmukhi script. 64. 57. 69. 59. 54. 68. is situated in the (A) Coral Sea (B) Red Sea (C) South China Sea (D) Bering Sea Who takes all the economic decisions in a planned or command economy? (A) Consumers (B) Governments (C) Workers (D) Industrialists Which of the following has NOT been declared a major port by the Govt of India? (A) Mundra (B) Tuticorin (C) Mormugao (D) Port Blair Sound waves travel with the maximum speed (in m/s) in (A) Wood (B) Aluminium (C) Glass (D) Copper The promulgation of Regulating Act of 1773 by the King of England paved the way for establishment of the Supreme Court of Judicature at (A) Calcutta (B) Madras (C) Bombay (D) Delhi Consider the following statements with respect to the 42nd amendment of the Indian Constitution: 1. It is secreted and released by (A) Thyroid (B) Spleen (C) Liver (D) Pancreas The party founded by Netaji Subhas Chandra Bose in 1939 was (A) Ghadar Party (B) Forward Bloc (C) Hindustan Socialist Republican Association (D) Swaraj Party Which of the following vitamins is also known as ascorbic acid? (A) Vitamin A (B) Vitamin C (C) Vitamin D (D) Vitamin E Consider the following: 1. The words ‘Unity of the nation’ in the preamble were changed to ‘Unity and integrity of the nation’.53. a. The normal tenure of the Lok Sabha and State Legislative Assemblies was extended from 5 to 6 years. Lord Curzon – Establishment of a new department of commerce and industry 3. 67. . Lord Ripon – Repeal of Vernacular Press Act 2. Veda of rituals d. was (A) Guru Angad Dev (B) Guru Arjan Dev (C) Guru Ram Das (D) Guru Tegh Bahadur Bile is a fluid that is stored in the gallbladder and is needed for digesting fatty foods. The age for voting rights was reduced from 21 to 18. (B) More jobs are available in the market than there are people willing to work. Magical charm and spells c. 60. Yajurveda 3. Veda of holy songs 2. Collection of Vedic Sanskrit hymns b. 65. 55. the Great Barrier Reef. 2 and 3 Which of the following features is common between the Constitutions of India and Canada? (A) Independence of Judiciary and Judicial Review (B) Scheme of federation with a strong Centre (C) Language of the Preamble (D) Method of election of President of India The hardware devices that translate data into a form that computer can process are (A) Modem (B) Input (C) Output (D) All the above An electroencephalogram (EEG) is a test performed to detect disorders related to (A) Heart (B) Spinal cord (C) Brain (D) Uterus K KUNDAN 56. the Sikh’s own script. Lord Reading – Railway Budget separated from General Budget Which of the above matches is/are correct? (A) Only 1 (B) Only 1 and 3 (C) Only 2 and 3 (D) All 1. is not matched correctly? (A) Roland Garros – Switzerland (B) Cannes – France (C) Barcelona – Spain (D) Port Louis – Mauritius Match the following and answer the question on the basis of the codes provided below: 1. 63. 66. 3. 58. (D) None of these The largest reef in the world based on both area and length. 2 and 3 Which of the following pairs of famous places and the country they are situated in. 61. Bihar Codes: 1 2 3 4 (A) d a c b (B) d c b a (C) c d b a (D) a d c b 81. Which of the following is responsible for the scattering of light in the atmosphere? (A) Water vapour (B) Water bodies (C) Dust particles (D) Fume 79. Heena Sidhu d. Fundamental Rights Sub-Committee 3. Electronegativity of elements increases moving from top to bottom in a group. The Institute of Microbial Technology (IMTECH) is situated in (A) Lucknow (B) Chandigarh (C) New Delhi (D) Hyderabad 87. The phenomenon involved in the formation of mirage in deserts is (A) Refraction (B) Reflection (C) Total internal reflection (D) Diffraction 83. Kabar Taal Lake b. Love and a Little Malice 71. Hussain Sagar Lake a. JB Kripalani d. First ionization energy increases moving from left to right across a period. Which of the following pairs of chromosomes are known as the “sex chromosomes. Match the following and answer the question on the basis of codes provided below 1. The first state to prepare sub-national Human Development Report in India is (A) Delhi (B) Madhya Pradesh (C) Nagaland (D) Tamil Nadu 88. Union Constitution Committee 4. Dipika Pallikal c. BR Ambedkar b. use the command (A) Ctrl + V (B) Alt + Tab (C) Ctrl + Y (D) Ctrl + A 72. 2 and 3 82. 2. Table tennis 4. Sikkim 3. Atomic radius decreases moving from left to right across a period. Tribal and excluded K KUNDAN . Jammu & Kashmir 2. Cholamu Lake c. 3. (A) Scandium (B) Technetium (C) Actinium (D) Berkelium 85. Which of the following is not a work of the late Khushwant Singh? (A) Train to Pakistan (B) Chronicle of a Corpse Bearer (C) The Sunset Club (D) Truth. Identify the one which is NOT matched correctly? (A) Smelting – Copper (B) Cracking – Petroleum (C) Hydrogenation – Vegetable ghee (D) None of the above 77. Parupalli Kashyap a. Sharath Kamal b. The number of high courts in India as of now is (A) 21 (B) 23 (C) 24 (D) 25 73. Match the following and answer the question on the basis of the codes given below: Person Chairman 1. Which of the following chemicals is/are used to produce colours in fireworks? (A) Copper (B) Barium (C) Strontium (D) All the above 78. Sardar Vallabhbhai Patel a. Jawaharlal Nehru c. Squash Codes: 1 2 3 4 (A) d a b c (B) c d b a (C) b c d a (D) a d c b 86. Wular Lake d. Identify the one which is not a radioactive element. Which of the following is NOT a genetic disorder found in human beings? (A) Phenylketonuria (B) Marasmus (C) Huntington’s disease (D) Haemophilia 80.70.” because they determine whether a child will be born male or female? (A) 20th (B) 21st (C) 22nd (D) 23rd 76. Permanent memory used in computers is called (A) ROM (B) RAM (C) ALU (D) Printed Circuit Board 74. Name the Reserve Bank of India deputy governor who resigned recently? (A) Anand Sinha (B) Harun Rashid Khan (C) Kamalesh Chandra Chakrabarty (D) Urjit Patel 75. Match the following and answer the question on the basis of the codes provided below: Lake State 1. The order in which electrons are filled into the atomic orbitals was outlined by (A) Dalton’s atomic theory (B) Aufbau Principle (C) Avogadro’s hypothesis (D) Hund’s Rule 84. Shooting 2. Which of the following are correct? In the periodic table 1. (A) 1 and 2 (B) 1 and 3 (C) 2 and 3 (D) All 1. Andhra Pradesh 4. To select the whole document. Drafting Committee 2. Badminton 3. Find the angle subtended at the centre of a circle of diameter 30 cm by a 5. 93. 91. x x4 (A) 98 (B) 100 (C) 16 (D) 10 102. The govt sold its 9 per cent stake held through SUUTI in which of the following banks to garner over `5.5% (D) 25% 107. However. then the percentage of candidates who passed the examination is (A) 27% (B) 37% (C) 29% (D) 47% 106.799 cr dud assets to asset reconstruction companies (ARCs) recently? (A) Union Bank of India (B) State Bank of India (C) Punjab National Bank (D) Canara Bank 98. Part C: Quantitative Aptitude 1 1 4 = 3. 96. In an examination 57% and 43% candidates failed in Science and English respectively. areas Codes: 1 2 3 4 (A) d a c b (B) d c b a (C) b d c a (D) a d c b World Water Day is observed on (A) 8 Mar (B) 14 Mar (C) 21 Mar (D) 22 Mar The United States suspended operations of the embassy and its consulates of which of the following countries in Washington and told their diplomats and staff who are not US citizens or permanent residents to leave the country recently? (A) Ukraine (B) Russia (C) Syria (D) Libya Currently. 95. for developing transportation system? (A) Cameroon (B) Republic of Congo (C) Tanzania (D) Kenya 97. If 29% candidates failed in both the subjects. extended a Line of Credit of $89. Three numbers are in the ratio of 3 : 4 : 5. Then its area will decrease by (A) 10% (B) 4% (C) 2.5cm-long arc. Bru or Reang refugees. `45 lakh Which of the following state govts signed an agreement with the National Dairy Development Board (NDDB) recently under which NDDB will manage the State Cooperative Milk Producers’ Federation Ltd for five years? (A) Bihar (B) Madhya Pradesh (C) Rajasthan (D) Jharkhand Nishi Vasudeva has become the first woman Chairman and Managing Director of the blue-chip PSU (A) HPCL (B) BPCL (C) IOC (D) ONGC Which of the following insurers has come under the scanner of IRDA for alleged irregularities in implementation of govt-sponsored insurance schemes meant for poor people? (A) Bajaj Allianz (B) ICICI Lombard (C) Max Insurance (D) Bharti Axa The Export-Import Bank of India (Exim Bank) has. Which of the following public sector lenders has announced. for the first time in its history. who among the following is the chairperson of the National Green Tribunal (NGT)? (A) Ananga Kumar Patnaik (B) Indira Jaising (C) Asok Kumar Ganguly (D) Swatanter Kumar The govt has agreed to the Election Commission’s suggestion for increasing ceiling on poll expenditure. `30 lakh (C) `70 lakh. 94. urging not to allow them to vote in relief camps. `28 lakh (D) `75 lakh.5. The sum of 101.89. then their LCM will be (A) 108 (B) 927 (C) 321 (D) 327 103. What is the percentage of marks obtained by his sister in the same examination who scored 372 marks? (A) 52% (B) 62% (C) 72% (D) 55% 105. was laid down in which of the following states in India recently? (A) Gujarat (B) Bihar (C) Uttar Pradesh (D) Madhya Pradesh 99. `20 lakh (B) `60 lakh. (A) 40º21 (B) 5º12 (C) 4º12 (D) 25º12 104.90 mn recently to which of the following countries.000 cr of its `67. billed to be the tallest shrine in the world.500 cr recently? (A) Axis Bank (B) SBI (C) UBI (D) PNB 100. originally belong to which of the following states? The chief minister of their home state has submitted a memorandum to the Election Commission. to offload around `5. If x + . 90. living in relief camps in Tripura. If the product of two numbers is 324 and their HCF is 3. Ram obtained 294 marks in an examination which is 49% of the full marks. The length of a rectangle is increased by 25% and its breadth is decreased by 40%. The new ceiling on poll expenditure for the Lok Sabha and Legislative Assembly elections respectively will be (A) `50 lakh. (A) Mizoram (B) Manipur (C) Assam (D) Arunachal Pradesh K KUNDAN 92. then find the value of x . The foundation of a 70-storey temple ‘Vrindavan Chandrodaya Mandir’. at the behest of the Govt of India. this is applicable only in the bigger states. If all three pipes are opened simultaneously. then the value of cos68 + sec68 is equal to (A) 1 (B) 2 (C) 3 (D) 68 113. If 4x – y = 10º. 36 men can do a piece of work in 40 days. then the value of lies between 2 (B) 0º < (D) 2 2 square. Two equal circles of radii 6 cm intersect each other such that each passes through the centre of the other. The average marks obtained by 140 candidates in a certain examination is 45. The length of the common chord is (A) 4 2 cm (B) 8 2 cm (C) 6 3 cm (D) 8 cm 116. `730 was divided among A. During which year did the advances register the highest increase from its previous year? (A) 2009 (B) 2010 (C) 2012 (D) 2011 122. In how many days can 28 men do it. If the perimeter of a circle is equal to the perimeter of a 15 10 10 5 1 2 2008 2009 0 2010 2011 2012 Year 121. B and C in such a way that if A gets `3 then B gets `4 and if B gets ` 3. If the average marks of passed candidates is 55 and that of failed candidates is 20. (A) 18 days (B) 4 days (C) 6 days (D) 8 days 115. Evalute (A) cos 55º sin 35º 5 2 (B) 110. in how much time will the tank be filled? (A) 7 hours (B) 8 hours (C) 7 hours 30 minutes (D) 8 hours 30 minutes 118. B = yº and C = (y + 20º). The graph shows the advances given by a cooperative bank over the last five years 28 30 Advances (in lakh rupees) the largest and the smallest number equals to the sum of the second number and 52. If B alone can complete the same piece of work in 18 days. Calculate the distance covered by the artist in . Find the length of the largest pole that can be placed in a room of dimensions 8m. The share of B exceeds that of C by (A) `30 (B) `40 (C) `70 (D) `210 25 22 20 K KUNDAN 2 111. The height of the pole is 12m and the angle subtended by the rope with the ground level is 30º.109. What is the percentage increase in advances from 2009 to 2012? (A) 130% (B) 140% (C) 1300% (D) 1400% 126. Then the time taken by the train to cross a tree will be (A) 3 seconds (B) 4 seconds (C) 6 seconds (D) 8 seconds 117. working 9 hours per day? (A) 28 days (B) 30 days (C) 32 days (D) 36 days 114. The advances in 2012 are approximately what percentage of the deposits if the deposits in 2012 were `36 lakh? (A) 22% (B) 78% (C) 129% (D) 450% 125. 6m and 5m respectively.50 then C gets `3. then the triangle is (A) equilateral (B) right-angle (C) obtuse-angle (D) isoscceles Directions (Q. Two pipes fill a tank in 10 hours and 12 hours respectively while a third pipe empties the tank in 20 hours. working 7 hours per day. (A) 5m (B) 5 5 m (C) 6m (D) 125m 120. If 2sin2 – (A) 0º < < (C) > 2 3 2 sin 35º cos 55º (C) 2 2 cos 2 30º 1 2 (D) 7 2 3 = 0. 121-126): Study the following graph carefully and answer the questions. The smallest number is (A) 27 (B) 39 (C) 52 (D) 20 108. A 150m-long train is running at the speed of 90 kmph. A works twice as fast as B. If cos + sec = 2. then their areas are in the ratio of (A) 11 : 7 (B) 4 : 1 (C) 14 : 11 (D) 22 : 7 119. In a triangle ABC. If the deposit in 2009 was `4 lakh then what is the ratio of the deposit in 2009 to that of advances in 2012? (A) 1 : 7 (B) 2 : 7 (C) 3 : 14 (D) 1 : 14 127. A = xº. During which year was there the minimum percentage increase in advances over the precending year? (A) 2008 (B) 2009 (C) 2010 (D) 2012 124. then the number of candidates who passed the examination is (A) 100 (B) 110 (C) 120 (D) 150 112. During which year did the advances register the highest percentage increase over its preceding year? (A) 2011 (B) 2008 (C) 2010 (D) 2009 123. Simplify (sec + tan ) (1 – sin ): (A) cos (B) sin (C) cosec (D) sec 128. A circus artist is climbing from the ground along a rope stretched from the top of vertical pole and tied at the ground. find in how many days can A and B together complete the work. 4) lies on the graph of the equation 3y = ax + 7. How much sugar should be added to make it 50% in the solution? (A) 80 gm (B) 60 gm (C) 50 gm (D) 100 gm 143.3) (0.1 (D) 0.6) 2 (A) 0. cm.1 (C) 0. Then OD is equal to (A) 10 cm (B) 8 cm (C) 9 cm (D) 18 cm 1 1 + 2 = 0. B sells it to C at a price which gave a 137. The sum is (A) `9000 (B) `9200 (C) `9500 (D) `9600 profit of 20% to A. and is 5 minutes 48 seconds fast at 8pm on the following Sunday.0 kmph 148. 7pm (C) Tuesday. If the side of a square is doubled. (A) 24m (B) 12m (C) 18m (D) 48m 129. (0. 300 gm of sugar solution has 40% sugar in it. 8) is (A) 12 sq units (B) 18 sq units (C) 24 sq units (D) 16 sq units 145. What is B’s percentage gain? 1 (A) 37. 436 and 542. losing 10% in the transaction.61 133.3 is equal to (B) 1. leaving 7. 10 minutes past 7pm 141. then the diameter of the circle is (A) 12 cm (B) 15 cm (C) 10 cm (D) 26 cm 140. 20 minutes past 7pm (B) Wednesday. AD and BC intersect at a point O such that AO = 12 cm. The difference between compound interest and simple 1 interest on a sum of money for 2 years at 12 % per 2 annum is `150. the better rate of interest is (A) 15% (B) 20% (C) 25% 2 (D) 16 % 3 1 130. 7pm (D) Thursday. A watch which gains uniformly. A van is travelling at the speed of 100 km per hour. The greatest number that will divide 398. the area of the square becomes (A) twice the original area (B) thrice the original area (C) four times the original area (D) eight times the original area 147. If a circle and a semi-circle have the same radius of 21 (A) 22 ) 7 (A) 3 : 1 (B) 11 : 10 (C) 10 : 11 (D) 11 : 9 146. If the length of a chord of a circle at a distance of 12 cm from the centre is 10 cm. A person can run downstream at 6 km per hour and upstream at 3 km per hour. is (A) 15 (B) 17 (C) 19 (D) 21 136. and 15 respectively as remainders.6)3 132. How many pigeons are there? (A) 100 (B) 200 (C) 110 (D) 210 144.5) 3 (0. then a is equal to (C) 50% (D) K KUNDAN (0. A sells an article to B for `54000. If heads are counted there are 200 and if legs are counted there are 580. In what time will `72 become `81 at 6 % per annum 4 simple interest? (A) 1 year 6 months (B) 2 years (C) 2 years 3 months (D) 2 years 6 months 131. When was it correct? (A) Wednesday. 11. then the value of x39 – 50 is x x (A) 2 (B) –2 (C) 1 (D) 0 138. His speed in still water is (A) 9 kmph (B) 4. is 5 minutes slow at 8 o’clock in the morning on Sunday. AB and CD are parallel straight lines of length 8 cm and 6 cm respectively.5) 2 – (0. then the ratio of their perimeters is (take = (A) –x (B) x (C) 2x (D) x2 135. In a zoo. Find the speed (in m/sec). If a sum of money at a certain rate of simple interest doubles in 5 years and at a different rate of interest becomes three times in 12 years. 0). there are rabbits and pigeons.climbing to the top of the pole. The area of triangle OAB formed by vertices O(0. The value of 3 (8 – 5) (4 – 2) 2 8 13 is 68 17 13 13 (B) (C) (D) 13 13 17 68 134. If x (A) 20m per second (B) 190 m per second 9 .5 kmph (D) 1. If in the given figure sin 48º = cos 2 = x. A (6.5 kmph (C) 1.5% (B) 33 % 3 200 % 9 139. then cos2 is equal to (A) 4 5 7 3 (B) (C) (D) 3 3 6 2 142. If the point (3. 0) and B (0. 151-155. honour 160. Armed bikers assaulted and robbed a 51-year-old (A) woman about `two lakhs on a busy south Delhi (B) street last evening. No error (D) Directions: In question nos. A train moving at a speed of 40 km per hour takes 2 hours 6 minutes more to cover a certain distance than a train moving at 96 km per hour. Infatuation (A) passion (B) obsession (C) fascination (D) hatred 167. making her the third best paid female athlete in the word. 161. Conceit (A) idea (B) confident (C) consent (D) arrogance 164. No error (D) 152. 156 to 160 sentences are given with blanks to be filled in with an appropriate word(s). In last November a skilled surfer died ________ a shark attack. he claimed he was not (A) absconding and was ready to follow the Supreme (B) (C) Court’s direction. A and B walk around a circular course 35 km in circumference. The India Gate Hexagon is a central point in New (A) Delhi at which very heavy traffic flows all the (B) (C) time. choose the alternative opposite in meaning to the given word and mark it in the Answer-Sheet. (A) of (B) from (C) because of (D) owing to 158. If there is no error. (B). Four alternatives are suggested for each question. Li Na has secured ________ worth $40m. (A) Since. 161 to 165. (A) some (B) little (C) much (D) few 159. when will they meet? (A) After 15 hours (B) After 21 hours (C) After 35 hours (D) After 42 hours 150. Find out which part of a sentence has an error and blacken the rectangle [ ] corresponding to the appropriate letter (A). The International Court of Justice in the Hague handed ________ a ruling on the disputed maritime border between Peru and Chile. According to the teachers. applause (C) For. No error (C) (D) 155. (C). ________ winning the French open in 2011. Though less frequently criticised than Beijing. Choose the correct alternative out of the four and indicate it by blackening the appropriate rectangle [ ] in the Answer-Sheet. 166 to 170.6 km (B) 154 km (C) 124 km (D) 144 km (C) Part-D: English Comprehension Directions: In question nos. some parts of the sentences have errors and some have none. (A) good (B) bad (C) worse (D) worst Directions: In question nos. starting together from the same point. 156. If they walk at the speed of 4 kmph and 5 kmph respectively in the same direction. Vapid (A) proud (B) tasteless (C) brave (D) unclear 165. 166. What is the distance? (A) 117. No error (D) 154. No error (D) 153. Yelp (A) eat (B) nibble (C) bark (D) devour Directions: In question nos. most of the schools won’t (A) be able to carry out revision process for the students (B) this year even though around 40 per cent of their (C) syllabus is remaining to be completed. out of the four alternatives choose the one which best expresses the meaning of the given word and mark it in your AnswerSheet.230 250 m per second (D) m per second 9 9 149. Highbrow (A) scholarly (B) old (C) angry (D) perturbed 163. In the two-page statement. The same stories of media’s role in Parliamentary (A) election were repeated word to word in other important (B) (C) journals. Delhi’s air is also terrible –– but China as a whole fares ________. Debauch (A) decide (B) destroy (C) corrupt (D) debilitate 162. Lustre (A) dullness (B) dazzle (C) glint (D) shimmer K KUNDAN . blacken the rectangle [ ] corresponding to (D) in the Answer Sheet. (A) over (B) upon (C) up (D) down 157. so ________ of their income depends on how many drugs they prescribe. 151. loan (D) On. endorsement (B) After. In China doctors are underpaid. Despite current price advantage. For so long he had waited in the wilderness for a recall to Test cricket. Policy choice about the benefits to be covered is one strategy while resources are scarce. UK manufacturers are still having to scale back production. out of which only one word is correctly spelt. Digital technologies have made a dramatic impact in not just bringing the world closer for everyone but. four words are given in each question. Find the correctly spelt word and indicate it in the Answer Sheet by blackening the appropriate rectangle. (A) as citizens.168. (A) exhilarated (B) exhilerated (C) exhillerated (D) exillerated 189. Mark your answer in the Answer-Sheet. (A) flattere (B) fluter (C) fluttur (D) flutter K KUNDAN . (A) running away (B) helpless (C) frightened (D) sitting/standing very closely 172. Below are given alternatives to the underlined part at (A). 176. a part of the sentence is underlined. (A) ecclesiestical (B) ecclesiastical (C) ecslesiastical (D) ecclesiatical 187. Choose the correct alternative. Wee (A) minuscule (B) little (C) big (D) teeny Directions: In question nos. 181. 171 to 175. 186 to 190. Laws or rules that limit or control something (A) Mortgage (B) Copyright (C) Stricture (D) Ordinance 183. (A) hopeful (B) terrified (C) waiting for (D) finger crossed 174. all is (B) as netizens everybody was (C) as public everyone has (D) No improvement 180. Agony (A) torment (B) distress (C) anguish (D) joy 170. Sri Lanka and Vietnam allow government doctors to practise privately. The refugees were packed like sardines. Building in which the bodies of dead people are burned (A) Crematorium (B) Mortuary (C) Tomb (D) Planetarium 185. 181 to 185. (A) as resources may be scarce (B) if resource are scarce (C) when resources are scarce (D) No improvement 178. An alcoholic liquor especially when it is cheap or made illegally (A) Beverage (B) Hooch (C) Rum (D) Champaign 184. In the last decade governments at the Centre and State level in India has taken significant step to improve service quality and financial affordability of healthcare services. four alternatives are given for the idiom/phrase bold-italicised in the sentence. He is scared stiff of the relationship breaking down. (A) corrollary (B) corrolarry (C) corollary (D) corolary 188. (A) traditional (B) alma mater (C) village (D) primary school 175. choose the one which can be substituted for the given words/sentence. The Indian rural market are undergone transformation with better access to information and changing pattern in demand structure and lifestyle. tickets etc that can be kept as a record when they are torn off (A) Receipt (B) Stub (C) Folio (D) Counterfoil Directions: In question nos. as netizens. (A) is undergoing transformation (B) have undergone transformation (C) have underwent transformation (D) No improvement Directions: In question nos. out of the four alternatives. everyone is now part of the global village. (A) happily (B) anxiously (C) unnoticed (D) angrily Directions: In question nos. Very willing to obey someone else (A) Subservient (B) Inane (C) Obedient (D) Tot 182. out of work hours. Radheshyam Sharma is an elderly gentleman of the old school. to make rural locations attractive. (A) standardise (B) improve (C) decrease (D) rise 173. 176-180. 186. (B) and (C) which may improve the sentence. Parts of cheques. In terms of country experiences. In case no improvement is needed your answer is (D). (A) have taken significant steps (B) has taken steps significantly (C) have taken significant stepping (D) No improvement 177. (A) out of working hours (B) outside of work hours (C) work outside hours (D) No improvement 179. Choose the alternative which best expresses the meaning of the idiom/phrase and mark it in the Answer-Sheet. 171. Madcap (A) stupid (B) sane (C) wild (D) imprudent 169. The newly uncovered document shows that Einstein had described essentially the same idea much earlier. Thousands of people around the world develop every day new products and systematically improve and innovate existing ones. (C) Evidence for the Big Bang suggested that in the past the contents of the observable Universe had been a very dense and hot substance. Sustenance is achieved by creating error-free and scalable processes to execute innovation.” he writes. (B) Einstein’s manuscript was written on American note paper. (A) asasination (B) assassination (C) assasination (D) assassinasion PASSAGE I (Question Nos. The success is reflected in the jump in the number of successful patent applications. There is a need to consistently drive performance through innovation in products. It could do this by continually adding new matter. with elementary particles spontaneously popping up from space. Hoyle said. and cultivating the right set of capabilities for successful plan execution. (B) Evidence for the Big Bang first emerged in the 1920s. from the late 1940s.190. says that he “almost fell out of his chair” when he realized what the manuscript was about. when US astronomer Edwin Hubble and others discovered that distant galaxies are moving away and that space itself is expanding. But to get that edge. Which of the following is not true on the basis of the facts mentioned in the given passage? (A) The US astronomer Edwin Hubble and others discovered that distant galaxies are moving away and space itself is expanding. The recently uncovered work. the contents of the observable Universe had been a very dense and hot ‘primordial broth’. Which of the following is/are correct about the newly uncovered document? (A) Einstein supported the idea that for the density to remain constant new particles of matter must be continually formed. 191 to 195) A manuscript that lay unnoticed by scientists for decades has revealed that Albert Einstein once dabbled with an alternative to what we now know as the Big Bang theory. Which of the following best expresses the meaning of the phrase ‘primordial broth’ as used in the given passage? (A) Things belonging to very early time (B) Things made of gaseous particles (C) Things about which nothing is known so far (D) Things having very high density PASSAGE II (Question Nos. Einstein soon abandoned the idea. being a market leader does not vouchsafe profitability or exponential growth. This seemed to imply that. which can evaluate the potential. The manuscript is thought to have been produced during a trip to California in 1931 — in part because it was written on American note paper. so its size did not change as it expanded. Organisations develop products and services that meet customer needs. When someone has an idea. Crucial to sustaining an innovative company are customer insight. 196 to 200) In today’s volatile business environment. Which of the following can be inferred on the basis of the recently uncovered work written in 1931? (A) Albert Einstein always believed in the Big Bang theory of the creation of the universe. “For the density to remain constant new particles of matter must be continually formed. (D) All the above 195. a physicist at the Waterford Institute of Technology in Ireland. processes and business models. proposing instead that the Universe expanded steadily and eternally. (B) Einstein once believed that the Universe expanded steadily and eternally. the organisation must foster a culture of innovation. Hoyle argued that space could be expanding eternally and keeping a roughly constant density. Customer-centricity enables organisations to reap a healthy harvest of their investment and boost profitability. but the manuscript reveals his continued hesitance to accept that the Universe was created during a single explosive event. the size of the Universe remained constant? (A) Albert Einstein (B) Edwin Hubble (C) Fred Hoyle (D) Cormac O’Raifeartaigh 194. K KUNDAN . It was in a ‘steady state’. he/she should be encouraged to detail it out and submit it to the organisation. An organisation must encourage its people to “ideate”. (D) None of the above 192. Who among the following propounded that on expansion. Hoyle’s Universe was always infinite. A business unit’s front-end initiatives encourage an innovative mindset across an organisation. is reminiscent of a theory championed by British astrophysicist Fred Hoyle nearly 20 years later. in the past. 191. talent management. written in 1931. (C) The manuscript had mistakenly been classified as a first draft of another Einstein paper. (D) None of these 193. It had been stored in plain sight at the Albert Einstein Archives in Jerusalem — and is freely available to view on its website — but had been mistakenly classified as a first draft of another Einstein paper. Evidence for the Big Bang first emerged in the 1920s. But. services. (C) Einstein didn’t believe that the Universe was created during a single explosive event. Cormac O’Raifeartaigh. (B) It should not change its product’s name and quality frequently. and improvements in process and productivity. (C) It should focus on customer requirements. revenue generation.Ideas can be in any one of these areas: new technology. processes etc. (D) All the above 197. talent management and successful plan execution. (A) For profitability and exponential growth of the business there is a need to consistently drive performance through innovation in products. (B) It helps develop a better relationship among organisations. These ideas should be discussed and evaluated by a review panel and then. services. What is the meaning of the word ‘boost’ as used in the given passage? (A) Healthy drinks (B) Depreciate (C) Enhance (D) Decrease K KUNDAN . (C) To get the advantage of sustainability in the market the organisation must foster a culture of innovation. Find the incorrect statement(s) on the basis of the given passage. cost reduction. (D) All the above 198. (D) None of these 199. taken up for implementation with appropriate rewards for the idea generator(s). What is/are the benefits of being customer-centric? (A) It helps the organisation boost its profitability. 196. (C) It helps innovate new products. What should an innovative company do to sustain in the volatile business environment? (A) It should focus on huge investment in the company. revenue generation. cost reduction and improvement in process and productivity (C) Because ideas bring rewards for both the organisation and its people (D) All the above 200. (B) A market leader’s profitability and exponential growth is assured and he need not pay attention on product and services innovation. based on the result. Why does the author emphasise that an organisation must encourage its people to ideate? (A) Because the idea can evaluate the potential (B) Because the idea can lead to technological development. 15. B. 11. B. N – 2 = L. 5. 20. A. 33. L – 1 = K 21.. (8 + 15 + 6) – (4 + 5) = 20 Similarly. U – 4 = Q. A group of lion is called pride and a group of fish swims in a shoal. +4. 7 + 10 = 17. 88 + 33 (8 + 3) × (8 – 3) = 55 27. 9 + 8 = 17. (6 + 12 + 3) – (3 + 2) = 16 So. 34. B. 12. 7. C. D. A. All except smallpox are diseases caused by bacteria while smallpox is caused by virus. 4. 415 4 + 1 + 5 = 102 = 100 9. C. C. 2nd circle = 1st circle + 3rd circle top-left 11 = 6 + 5 top-right 3 = 2 + 1 middle-left 6 = 4 + 2 middle-right 7 = 1 + 6 bottom-left 1 1 = 9 + 2 bottom-right 7 = 3 + 4 36. So. There is no ‘E’ in the keyword. 16. There is no ‘Y’ in the keyword. C. Similarly. C. B. D. B. In all others. A. Person’s mother = Only daughter of woman’s father. 6. 8. C. Thus. Q – 3 = N. The number in a section of the middle circle is the sum of the numbers in the corresponding sections of the other two circles. Each corresponding letter moves five places forward in the alphabet.K KUNDAN Answers 1. Both are synonyms. R > Q > S > T > P 26. A. D. 10. B. All except eczema are eye diseases. 23. 18. 216 = 63. The first leads to the second. B. 22. Similarly. C. D. 3. D. All except scorpion live in water. 36 – 84 ÷ 21 + 6 × 4 36 + 84 ÷ 21 – 6 × 4 = 36 + 4 – 24 = 40 – 24 = 16 30. the first letter has the same position from the left in the alphabet as the second has from the right. C. 5 + 12 = 17 19. D. D. A. A.. 2. 81 = 92 13. 32. B. Square of 57 is 3249 and square of 58 is 3364. 216 2 + 1 + 6 = 92 = 81 Similarly. Each number is repeated then 15 is subtracted to obtain the next number. C. 54 P 18 Q 19 S 8 R 2 = 54 ÷ 18 × 19 – 8 + 2 = 3 × 19 – 8 + 2 = 59 – 8 = 51 29. B. The corresponding letters move three places forward in the alphabet while the numbers follow +2. or. B. all others are square numbers: 121 = 112. 28. The series is Z – 5 = U. B. 13 + 4 = 17. Except B. 3262 is between 572 and 582 . 6 × 7 – 4 × 3 = 42 – 12 = 30 3 × 8 – 6 × 2 = 24 – 12 = 12 9 × 4 – 2 × 8 = 36 – 16 = 20 . +5 . So number = 3262 – 3249 = 13 24. 77 + 43 (7 + 4) × (7 – 3) = 44 99 + 55 (9 + 5) × (9 – 5) = 56 Similarly. (9 + 7 + 10) – (4 + ?) = 18 or. Distance = 15 + 15 = 30 km 25. There are no two ‘Es’ or ‘P’ in the keyword. There are seven numbers of MTS. 17. D. C. 196 = 142. ? = 26 – 22 = 4 35. The second is antonym of the first. +3. 26 – 4 – 18 = ? or. 14. Person’s mother = woman 31. All except Allahabad are capitals of different states. C. 35x = 6300 – 2800 or. C. I-type statement is an implication of an A-type statement. 20 25 Increased length = 20 + = 20 + 5 100 = 25 cm 40 15 Decreased breadth = 15 – = 15 – 6 100 = 9 cm New area = 25 × 9 = 225 cm2 Decrease in area = 300 – 225 = 75 cm = sin 35º sin 35º 2 cos 55º cos 55º = (1)2 + (1)2 + 3 = 2 2 110. 29 candidates failed in both the subjects Candidates failed only in Science = 57 – 29 = 28 Candidates failed only in English = 43 – 29 = 14 Total failed = 28 + 29 + 14 = 71 Hence percentage of passed candidates = 100 – 71 = 29% 106. 49% of total marks = 294 294 100 Total marks = = 600 49 Percentage of marks obtained by Ram’s 372 100 sister = = 62% 600 105.37. A 95. x (3. B 87. sin2 = 2 3 4 2 3 7 = 2 2 3 =0 3 = sin 60º 2 or. D. II follows while I does not follow.5 cm LCM = l r = = = c = 5. we get 2 1 x x x2 1 2 or. A 74. C. 115. lies between 0º < < 2 111. B 66. A. A 85. D 50. A 63.5 15 5. B 80. B 69. A 82. B’s one day’s work = A’s one day’s work = 24 A:B:C=3:4: 7 by 21 : 28 : 24 Sum of the ratio = 21 + 28 + 24 = 73 730 Share of B = 28 = `280 73 2 1 =1 cos 68 Now. Here r = 15 cm and l = 5. cos + 1 = 2 cos or. 10 × 3 + 2 = 32 32 × 2 + 3 = 67 67 × 2 + 4 = 38. D 94. Hence.5 35 7 cos(90º–35º ) sin 35º 1 =2 cos 2 or. the smallest number = 3x = 3 × 13 = 39 108. C 75. C. D 90. B 56. 41. conclusion I follows. D 77. B. B 58. A. cos + sec68 = 1 + 1 = 2 sec = 1 18  A is twice as fast as B 4 3 4 3 10 24 = = 3. 3 × 3 + 1 = 10. A. B 62. C 43. C 79. Hence. A.  2sin2 – or. B 88. C 70. B 97. C 42. C 93. D 78. 4x = 52 x = 13 Hence. B 98. C 83. B 53. C. A 89. we get or. Area = Length × Breadth = 15 × 20 = 300 sq. A 44. C 91. A 55. 40. x = 3. Then. 8x – 4x = 52 or. x 75 100 = 25% 300 107. C 86.5 180 7 15 22 4 1 5 º = 4º c 5. C 39. Share of C = 24 + sin(90º–55º ) cos 55º 113. C. C 64. Then. D 72. Ratio of A : B : C 3:4:x 3. C 54. Let the number of passed candidates be x. B 84. Then. C 45. 35x = 3500 or. C 81. B. And conclusion II follow from conclusion I.5)2 x2 1 x 2 x 12. A 100. B 65. x 2 1 x2 (10)2 x2 1 4 x4 1 4 or. All birds are cats (A) + No cat is a dog (E) = A + E = E = No bird is a dog. B 46. M1 D 1W1 = M2D 2 W2 36 7 40 = 36 days 28 9 x= 114. 4x and 5x respectively. squaring both sides. A 104. D. 2 = 60º = 30º Hence.25 – 2 10 Again. C 52.5 x Squaring both sides. A 61. x x 4 2 x 100 1 2 100 x2 x= 98 102. B 51. (cos – 1)2 = 0 cos = 1 or. 55x + 2800 – 20x = 6300 or. D 76. x = 100 112. C 99. B 96. C 73. cos + sec = 2 K KUNDAN 1 101. cm According to the question. Suppose length is 20 cm and breadth 15 cm. A 47. D 67.5 180 15 = º = 63 15 1 60 5 º = 4 3 15 º º 730 = `240 73 The share of B exceeds that of C by 280 – 240 = `40 109. B 68. 8x = 4x + 52 or.25 12. cos2 – 2cos + 1 = 0 or. B 49. 2 O A = OA = OO (radii) of circle 2 = 4º12 + 2 3 2 OC = OO = 6 = 3 cm (  OA = 6 cm) 2 . B. D.5 : 3 % decrease = 1 2 or. cos + 1 9 (A + B)’s one day’s work = 1 18 1 1 2 = 9 18 3 1 = 18 6 Both complete the work in 6 days. A. A 57. D 92. LCM × HCF = Product of two numbers 324 = 108 3 103. B 71. 55 × x + (140 – x)20 = 140 × 45 or. C 48. Let the numbers be 3x. B. 3x + 5x = 4x + 52 or. B 60. A 59. (sec + tan ) (1 – sin ) or. SI in 5 years = `100 100 100 = 20% 100 5 SI in 12 years = `200 Rate = 200 100 50 2 = = 16 % 100 12 3 3 130. 1 12 = 2 l l = 24m 129. 4x – y = 10º y = 4x – 10º . sin(90º – 42º) = cos 2 = x or. y = 0. OD = 12 6 = 9 cm 8 . B. (ii) Putting the value of y in equation (i). 1 cos 60 hours = 7 hours 30 minutes 8 118. Reqd length = 82 62 52 = 64 36 25 = 125 = 5 5 m 120. We know that A + B + C = 180º Then x + y + y + 20º = 180º or. (i) Given. Reqd % = 150 = 6 seconds 25 117. 2 = 42º = 21º = 180º – (48º + 21º) = 111º cos 2 = cos 2 × 111º = cos 222º cos(180º + 42º) = –cos42º = –x 135. (1 – sin ) = = 2 17 x 64 17 x x – = 150 64 4 x = `9600 126.1 133. 4 : r 4 =3÷ 3 22 =4: = 28 : 22 = 14 : 11 7 119. area of the square = r 2 2 = x + y = 0. B. 1 sin cos –x (0. 121. Given that. 398 – 7 = 391 436 – 11 = 425 542 – 15 = 527 Hence HCF of 391. B. the highest increase is in 2011. the triangle ABC is a right-angle triangle. 9x = 160 + 20 = 180º 180º x= = 20º 9 Then y = 4 × 20 – 10 = 70º C = y + 20 = 90º Hence. C. B. B.5) 2 – (0. 1 hour’s work of three pipes Time = = 77. x + 2y + 20º = 180º . Perimeter of the circle = 2 r Perimeter of the square = 4a sin cos = 1 – sin 2 cos x = 150 64 or. 8 6 AO OD 12 OD or. Suppose the sum is `x. 425 and 527 is 17 =3÷ 136. time taken for filling the tank = 28 700 100 = 36 9 =` 28 × 100 = 1400% 2 4 =1:7 28 127. Increase in 2009 = 1 lakh in 2010 = 8 lakh in 2011 = 12 lakh in 2012 = 6 lakh Hence.5 + 0. D 2012 = AB = 2 × AC = 2 × 3 3 = 6 3 cm 5 116..6 = 1. A. Reqd % = Compound interest = x 1 y3 2 x – xy y (x 2 = y) x2 y 2 – xy 2 y 2 – xy x K KUNDAN Side of the square = a= 2 r r = 4 2 Area of the circle = r 2 (1 – sin ) = cos2 cos = cos 128. D. sin48º = cos 2 = x or. Reqd ratio = = 25 200 Now.5)3 (0. CI – SI = 150 78% 125.. C. 1 100 = 100% 122.6 x3 Now. B. Let the sum be `100. C.62 – 32 = AC = 36 – 9 = 27 2011 = = 3 3 cm 12 100 = 120% 10 131. 25 2 x = ` 2 100 4 Simple interest = x 6 × 100 27% 22 Hence. 3 ÷ {(8 – 5) ÷ (4 – 2) ÷ (2 + = 3 ÷ [3 ÷ [2 ÷ 34 ]] 13 = 3 ÷ {3 ÷ [2 × 13 }] 34 2 2 = r 4 2 2 Reqd ratio = r2 : or.77 1 1 1 6 5–3 8 – = = 10 12 20 60 60 Time taken to fill the tank by all three pipes 60 together = hours 8 Hence. C. A.6)3 132. A. 123. 1 Rate = 6 % per annum 4 Time = 8 )} 13 So. D. cos42º = cos 2 = x or. D.. A. 2010 = 8 100 = 400% 2 Let the length of rope AC be l m. C. C. Principal = `72 Interest = 81 – 72 = `9 % rate = 13 17 =3÷ 3 SI 100 9 100 = 25 P R 72 4 9 100 4 = = 2 years 72 25 17 13 51 3 13 13 = = 13 51 17 134.5.3) (0. Speed of train = 90 × = 25 m/s 18 Length of train = 150m 124. In ABC AB 12 sin 30º = = AC l or.. B. (0. 2009 = 1 And. the highest percentage is in 2010.6) 2 x = 0. we get x + 2(4x – 10) = 180 – 20 or. Again. AB CD or. C 161. Let the distance be x km. 3×4=a×3+7 or. D 193. (x + 1)2 = 0 x = –1 137. C. B. 12 = 3a + 7 or. D 180. B. B 165. D 172. B 187. D 167. AC = CB = 5 cm Radius OA = = 100 1000 36000 250 m seconds 9 149. LCM of 4. B 191. A. C. D 164. B 192. D. B 184. A’s cost price = 54000 In the second case Side = 2x metres Area = (2x)2 = 4x2 sq m The area becomes four times the original area. D 190. B. 141. B 158. Then. D. x x 6 – = 2 40 96 60 21 10 K KUNDAN  OC = 12 cm. B. 4) will satisfy the equation. D 200. C 162. D 157. C. A 185. A 189. Time of the interval = 180 hours a= or. C 194. Rate in still water = 29 20 B’s SP = 60000 × 100 = `60000 90 148. D. C. C 173. D 154. 3a = 5 5 3 24 x – 10 x 21 = 960 10 or. A can cover a distance of 140 km in 140 4 = 35 hours 150. Area = x2 sq m = 960 21 = 144 km 14 10 151. C 166. 20 minutes Hence. Replace ‘about’ with ‘of’ 155. 5 and 35 = 140 120 = `72000 100 B’s profit percentage = 6 3 2 = 4. Replace ‘word to word’ with ‘word for word’ 153. 1 2 0 x 2 x + 1 + 2x = 0 or. C 176. A 199. OC2 AC 2 = 122 The watch gains 5 + 5 4 54 = minutes 5 5 5 minutes is gained in 180 5 5 54 = 83. B 198. Average number of legs per head 1 1 Now. Speed = = 18000 1 100 = 33 % 54000 3 Rabbits : Pigeons 9 : 17 200 11 = 110 Number of pigeons = 9 11 139. C 171. C 178. 14 x 21 = 960 10 52 144 25 = 169 = 13 cm Diameter of the circle = 2 × 13 = 26 cm 140. C or. D 195. Replace ‘at’ with ‘through’ 152.5 kmph = –1 – 1 = –2 138. B. Let the side of the square be x metres. 144. C 197. B 174. A 163. C 183.142. A 181. B. Circumference of the circle = 2 r = 22 × 21 = 132 cm 7 Circumference of the semi-circle = r + diameter =2× 22 × 21 + 42 = 66 + 42 = 108 cm 7 Reqd ratio = 132 : 108 = 11 : 9 146.33 hours = 3 days 11 hours. or 120 + x = 180 180 50 x = 60 gram 143. A 160. B. D. A 175. A 177. B. x = . B 179. The point (3.  x 120 x 50 Then. A 182. C 188. D 170. C 159. x39 – 580 200 = (–1)39 – (–1)50 x 50 147. Replace ‘remaining’ with ‘yet’ 156. Let x gram sugar be added. A 168. B 169. it will be correct at 20 minutes past 7 pm on Wednesday. D 186. A. A 196. OA = 6 units And OB = 8 units Area of triangle OAB = 1 OA OB 2 1 6 8 = 24 sq units 2 145.
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