SSC GRADUATE LEVEL TIER I EXAM , 0107 2012 ( NORTH ZONE MORNING SHIFT 2 ) – PREVIOUS YEAR PAPER GENERAL AWARNESS 1. Gross Domestic Product is the monetary value of (1) stock of goods and services. (2) all final goods and servics produced in a year (3) goods produced for the market only (4) goods produced for the market and for self consumption Solution : 2 2. Which one of the following market structures has a kinked demand curve? (1) Perfect competition (2) Monopoly (3) Oligopoly (4) Monopolistic competition Solution : 3 3. Which of the following pairs is not correct? (1) I Plan – (1951 – 1956) (2) III Plan – (1966 – 1971) (3) XI Plan – (2007 – 2012) (4) VI Plan – (1980 – 1985) Solution : 2 4. Which of the following institutions deals with credit to Agriculture and Rural Development? (1) IDBI (2) NABARD (3) SIDBI (4) ICICI Solution : 2 5. As per the results of the 2011 Population Census, which of the following groups occupies the three top places in respect of literacy? (1) Kerala, Goa, West Bengal Page 1 of 75 (2) Chandlgarh,Goa, Kerala (3) Kerala, Lakshadweep, Mizoram (4) Mizoram, Kerala, Tripura Solution : 3 6. District Judges in a State are appointed by the (1)AdvocateGeneral of the State (2) Council of Ministers of the State (3) Governor (4) Chief Justice of High Court Solution : 3 7. Who will head the Jury of the Awards Committees of Padma, Ratna and other highest honorary awards? (1) President of India (2) VicePresident of India (3) Home Minister (4) Prime Minister of India Solution : 2 8. Most important responsibility of a Welfare State is (1) to preserve private property (2) to promote religion of the people (3) to check exploitation (4) to check encroachments on Fundamental Rights Solution : 3 9. Which of the following statements are correct? (a) Assam shares a border with Bangladesh and Bhutan. (b) West Bengal shares a border with Bhutan and Nepal. (c) Mizoram shares a border with Bangladesh and Myanmar. (1) a, b, c (2) a, b (3) b, c (4) a, c Solution : 1 10. Arrange the following Presidents in chronological order as to who came first and who came later: (a) Fakhruddin All Ahmed (b) Zakir Hussain (c) Justice Hidayatullah (d) A. P. J. Abdul Kalam Page 2 of 75 (1) c, b, a, d (2) b, c, a, d (3) b, a, c, d (4) b, c, d, a Solution : 2 11. Which one of the following events are chronologically correct? (1) Civil Disobedience Movement – Quit India Movement – The Cabinet Mission Plan (2) The Cabinet Mission Plan – Civil Disobedience Movement – Quit India Movement (3) Quit India Movement – Civil Disobedience Movement – The Cabinet Mission Plan (4) Civil Disobedience Movement – The Cabinet Mission Plan – Quit India Movement Solution : 1 12. Who founded the VikramasiIa University? (1) Dhruva (2) Devapala (3) Dharmapala (4) Mahipala Solution : 3 13. Which of the following was not known during the Rigvedic period? (1) Joint Family System (2) Agriculture (3) Varna System (caste) (4) Marriage System Solution : 2 14. Match the following: Dynasty Founder a. Pallavas 1. Dantidurg b. Chalukyas 2. Vishnuvardhan c. Rashtrakutas 3. Simhavishnu d. Hoysalas 4. Pulakesin Solution : 2 15. Abul Fazl wrote (1) BaburNama (2) HumayunNama Page 3 of 75 (3) AkbarNama (4) AlamgirNama Solution : 3 16. Which of the following is called the ‘Crossroads of the Pacific’ ? (1) Tonga (2) Fiji (3) Hawaii (4) Ellice Solution : 2 17. Which one of the following is an act of man that disturbs the ecological balance ? (1) Vanamahotsav (2) Afforestation (3) Lumbering (4) Social forestry Solution : 3 18. Which one is not correctly matched? (1) Longcoy – Russia (2) Rhine – Germany (3) Glasgow – Great Britain (4) Pittsburg – U.S.A. Solution : 1 19. How many States in India are coastal? (1) 7 (2) 8 (3) 9 (4) 10 Solution : 3 20. International boundary between India and Pakistan is demarcatd by (1) McMahon Line (2) Durand Line (3) Radcliffe Line (4) Maginot Line Solution : 3 21. Which one of the following is called the amphibian in plant kingdom? (1) Algae (2) Fungi Page 4 of 75 (3) Bryophyta (4) Pteridophyta Solution : 3 22. Find the odd one out. (1) Hookworm (2) Guinea worm (3) Tapeworm (4) Ringworm Solution : 4 23. National Institute of Nutrition is a research institute located in the State of (1) Andhra Pradesh (2) Himachal Pradesh (3) Madhya Pradesh (4) Uttar Pradesh Solution : 1 24. A tree’s age can be found by (1) measuring its height (2) counting the number of annual rings (3) counting the number of branches (4) no means Solution : 2 25. The left aortic arch is observed in (1) Amphibians (2) Mammals (3) Reptiles (4) Ayes Solution : 2 26. Tendon connects (1) Bone to bone (2) Muscle to bone (3) Bone to muscle (4) Muscle to muscle Solution : 2 27. Mercury is generally used in thermometers because it has a (1) high fluidity (2) high density Page 5 of 75 (3) high conductivity (4) high specific heat Solution : 3 28. To an observer on the lunar surface, during daytime, the sky will appear to be (1) Light yellow (2) Blue (3) Orange (4) Black Solution : 4 29. Which of the following quantities is the measure of ‘inertia’ ? (1) Velocity (2) Acceleration (3) Mass (4) Weight Solution : 3 30. The intensity of a wave: (I) follows inverse square law. (II) is proportional to its amplitude. (III) is proportional to the square of the amplitude. (1) I and II are true (2) II and III are true (3) Only II is true (4) I and III are true Solution : 4 31. Which data communication method is used for sending data in both directions at the same time? (I) Super duplex (2) Simplex (3) Half duplex (4) Full duplex Solution : 4 32. What does the acronym ISDN stand for? (1) Indian Standard Digital Network (2) Integrated Services Digital Network (3) Intelligent Services Digital Network (4) Integrated Service Data Network Solution : 2 Page 6 of 75 33. Darkening property of photochromatic glass is due to the presence of (1) silver bromide (2) silver oxide (3) silver nitrate (4) silver chloride Solution : 4 34. Supersonic aircrafts discharge the following substance into the stratosphere: (1) NO2 (2) SO2 (3) CO2 (4) H2 Solution : 1 35. Chemical nature of laughing gas is (1) Nitric oxide (2) Hydrogen chloride (3) Nitrous oxide (4) Sulphur dioxide Solution : 3 36. The difference between isotopes of an element is due to the presence of a different number of (1) protons (2) neutrons (3) electrons (4) photons Solution : 2 37. The increasing abudance of greenhouse gases in the atmosphere has led to the following effects except (1) Global warming (2) Depletion of ozone layer in the stratosphere (3) Oxygen fertilisation effect (4) Carbon dioxide fertilisation effect Solution : 3 38. Which of the following fuels causes minimum environmental pollution? (1) Diesel (2) Kerosene (3) Hydrogen (4) Coal Page 7 of 75 Solution : 3 39. Minamata epidemic that caused several deaths in Japan in 1965 occurred due to pollution in water by (1) Lead (2) Mercury (3) Fluoride (4) DDT Solution : 2 40. Ozone affects human health by causing severe pulmonary edema at a concentration of (1) 0.2 ppm (2) 0.3 ppm (3) 3.0 ppm (4) 9.0 ppm Solution : 4 41. The first President to sail in a submarine in India was (1) K. R Narayanan (2) Dr. A.P.J. Abdul Kalam (3) V.V. Girl (4) N. Sanjeeva Reddy Solution : 2 42. Cooking vessels have wooden or bakelite handles because (1) wood,and bakelite are bad conductors of heat (2) the handle must be strong (3) the handle should be attractive (4) None of the above Solution : 1 43. “Desbhandhu” is the title of (1) B.R Ambedkar (2) C.R Das (3) B.C. Pal (4) Rabindranath Tagore Solution : 2 44. Which one of the following pairs is incorrect ? (1) Jeev Milkha Singh – Golf (2) Irfan Pathan – Cricket (3) Abhinav Bindra – Rifle Shooting (4) Sania Mirza Badminton Page 8 of 75 Solution : 4 45. In which of the following States, is the childsex ratio the lowest as per the 2011 Census ? (1) Haryana (2) Punjab (3) Chhattisgarh (4) Bihar Solution : 1 46. Kaziranga National Park is situated in (1) Odisha (2) Gujarat (3) Rajasthan (4) Assam Solution : 4 47. Who is the author of the book If Cricket is Religion, Sachin is God’ ? (1) Vijai Santhanam (2) Shyam Balasubramaniam (3) Both (1) and (2) (4) None of the above Solution : 3 48. Which of the following statements is not correct about Sunder Lal Bahuguna? (1) He is an eminent environmentalist (2) He was awarded Padma Bhushan in 2009 (3) He started the ‘Chipko Movement’ to create awareness of deforestation (4) He was elected to Lok Sabha from Uttarkashi in Uttarakhand Solution : 4 49. The three countries, in serial order, who won the highest number of gold medals in the Beijing Olympics Games were (1) China, USA, Russia (2) China, USA, Germany (3) China, Germany, Australia (4) China, Germany, USA Solution : 1 50. The first woman from India to be conferred the Sainthood by Pope Benedict XVI is (1) Sister Desouza (2) Sister Madorana (3) Sister Alphonsa (4) Sister Nirmala Page 9 of 75 Solution : 3 Page 10 of 75 ENGLISH COMPREHENSION Directions (15) : In the following questions, some parts of the sentences have errors and some have none. Find out which part of a sentence has an error. If a sentence is free from error, then your answer is (4), i.e., No error. 1. Some of the people (1) / were standing on the street (2) / watch cricket match, while others were sitting. (3) / No error (4) Solution : 3 2. I am glad (1)/ that the news (2)/ are good. (3) / No error (4) Solution : 3 3. The judge tested the accused (1)/ to see if he would (2) / read English. (3) / No error (4) Solution : 2 4. I have neither visited (1)/ or intend (2)/ to visit hill stations. (3)/ No error (4) Solution : 2 5. Kamala is not (1)/ inferior than Geetha (2)/ in her studies. (3)/ No error (4) Solution : 2 Directions (6 – 10) : In the following questions, sentences are given with blanks to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choose the correct alternative out of the four as your answer. 6. I don’t think I can___ with him any longer. (1) put on (2) put off (3) put up (4) put out Solution : 3 7. The _____of many temples in South and Central India surpasses even that of the Taj Mahal. (1) magnificence (2) look (3) appearance (4) goodness Solution : 1 Page 11 of 75 8. C.V. Raman was an _____scientist. (1) eminent (2) imminent (3) itinerant (4) immanent Solution : 1 9. He never drinks and drives. He is too_____ to do something silly like that. (1) sensuous (2) sensitive (3) sensual (4) sensible Solution : 4 10. On account of an accident, the traffic on the G.T. Road was (1) disturbed (2) disrupted (3) dislocated (4) distorted Solution : 2 Directions (1115) : In the following questions, out of the four alternatives, choose the one which best expresses the meaning of the given word as your answer. 11. Narcissism (1) unpleasant behaviour (2) selfcondemnation (3) selfadmiration (4) rude behaviour Solution : 3 12. Camouflage (1) disguise (2) cover (3) demonstrate (4) fabric Solution : 1 13. Yearn (1) deny (2) accept (3) confront (4) crave Solution : 4 Page 12 of 75 14. Pensive (1) reluctant (2) unhappy (3) contemplative (4) precise Solution : 3 15. Impeccable (1) inoffensive (2) flawless (3) upright (4) harmless Solution : 2 Directions (1620) : In the following questions, choose the word opposite in meaning to the given word as your answer. 16. Disparage (1) compliment (2) convince (3) comfort (4) connect Solution : 1 17. Garrulous (1) quiet (2) exaggerated (3) gruesome (4) creative Solution : 1 18. Augment (1) increase (2) defend (3) supplement (4) decrease Solution : 4 19. Amateurish (1) seasoned (2) trained (3) skilled (4) professional Page 13 of 75 Solution : 4 20. Ignominious (1) valuable (2) desirable (3) honourable (4) clever Solution : 3 Directions (21 25) : In the following questions, four alternatives are given for the idiom/ phrase printed in bold in the sentence. Choose the alternative which best expresses the meaning of the idiom/phrase as your answer. 21. A good sportsman cannot afford to have a fit of the blues before the game. (1) steroids or drugs (2) depression (3) stimulants (4) entertainment Solution : 2 22. His utopian idea was entertaining but not acceptable. (1) unworthy idea (2) imaginary idea (3) classic idea (4) intelligent idea Solution : 2 23. He has the habit of getting into a row over trivial matters. (1) getting a right path (2) giving unwanted advice (3) seeking the help (4) picking up a fight Solution : 4 24. A small fry (1) unimportant (2) weak (3) little (4) important Solution : 1 25. Do not lose your head in public. (1) get angry (2) get a headache Page 14 of 75 (3) be embarrassed (4) shave your hair Solution : 1 Directions (2630) : In the following questions, a part of the sentence is printed in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4). 26. John is wearing his jacket as it is getting very cold. (1) taking on (2) getting on (3) putting on (4) No improvement Solution : 3 27. I worked in this office since 2005. (1) am working (2) have worked (3) have been working (4) No improvement Solution : 3 28. The host offered me tea but I denied it. (1) refused (2) said no (3) rejected (4) No improvement Solution : 1 29. Can any spiritually dead man be so as to have no love for his native country ? (1) Can any dead man be so as to have no spiritual love for his native country ? (2) Can any man be so spiritually dead as to have no love for his native country ? (3) Can any native man be so dead as to have no love for his spiritual country ? (4) No improvement Solution : 2 30. How can anyone symphathize with you when what you say is hardly gullible ? (1) credulous (2) credible (3) incredible (4) No improvement Solution : 2 Page 15 of 75 Directions (3135) : In the following questions, out of the four alternatives, choose the one which can be substituted for the given words/sentence. 31. A person eighty years of age (1) Septogenarian (2) Nonagenarian (3) Octogenarian (4) Sexogenarian Solution : 3 32. Too much official formality (1) Bureaucracy (2) RedTapism (3) Diplomacy (4) Autocracy Solution : 2 33. Enclosure for birds (1) Pen (2) Nest (3) Lair (4) Aviary Solution : 4 34. That cannot be conquered (I) Invincible (2) Invulnerable (3) Intangible (4) Inevitable Solution : 1 35. Hard to please (1) Loquacious (2) Stubborn (3) Fastidious (4) Epicurean Solution : 3 Directions (3640) : In the following questions, there are four different words out of which one is correctly spelt. Find the correctly spelt word. 36. (1) acquisition (2) acquisition (3) acquissition (4) ackuisition Page 16 of 75 Solution : 1 37. (1) reprasentative (2) adminestrative (3) demanstrative (4) attractive Solution : 4 38. (1) hieararchy (2) anorchy (3) monarchy (4) discrapancy Solution : 3 39. (1) occurence (2) recurrence (3) refference (4) relliance Solution : 2 40. (I) coopperative (2) comppetitive (3) discriptive (4) receptive Solution : 4 Directions (4150) : In the following questions, you have two brief passages with 5 questions following each passage. Read the passages carefully and choose the best answer to each question out of the four alternatives. PassageI (41 45) Unlike the masses, intellectuals have a taste for rationality and an interest in facts. Their critical habit of mind makes them resistant to the kind of propaganda that works so well on the majority. Intellectuals are the kind of people who demand evidence and are shocked by logical inconsistencies and fallacies. They regard oversimplification as the original sin of the mind and have no use for the slogans, the unqualified assertions and sweeping generalizations, which are the propagandist’s stockintrade. 41. Intellectuals are the kind of people who (1) demand logical inconsistencies and fallacies (2) ignore faulty logic and wrong beliefs. (3) look for evidence in support of logical inconsistencies and fallacies (4) accept only those things which are logically consistent and well supported by evidence Page 17 of 75 Solution : 4 42. ‘Fallacies’ means (1) false evidence (2) false beliefs (3) illogical arguments (4) inconsistencies Solution : 2 43. A trait which intellectuals do not possess is (1) critical thinking (2) rationality (3) oversimplification (4) logical thinking Solution : 3 44. The first sentence of the passage suggests that (1) all individuals have a taste for rationality and an interest in facts (2) groups consists of intellectuals (3) intellectuals behave like individuals, not like members of a crowd (4) individuals are intellectuals Solution : 3 45. The majority of people (1) resist propaganda (2) do not possess a critical habit of mind (3) work well with intellectuals (4) possess a critical habit of mind Solution : 2 PASSAGEII (4650) Unquestionably, a literary life is for the most part an unhappy life, because, if you have genius, you must suffer the penalty of genius; and if you have only talent there are so many cares and worries incidental to the circumstances of men of letters, as to make life exceedingly miserable. Besides the pangs of composition, and the continuous disappointment which a true artist feels at his inability to reveal himself, there is the everrecurring difficulty of gaining the public ear. Young writers are buoyed up by the hope and the belief, that they have only to throw that poem at the world’s feet to get back in return the laurelcrown; that they have only to push that novel into print to be acknowledged at once as a new light in literature. You can never convince a young author that the editors of magazines and the publishers of books are a practical body of men, who are by no means frantically anxious about placing the best literature before the public. Nay, that, for the most part, they are mere brokers, who conduct their business Page 18 of 75 on the hardest lines of a Profit and Loss account. But supposing your book fairly launches, its perils are only beginning. You have to run the gauntlet of the critics. To a young author, again, this seems to be a terrible order. When you are a little older, you will find that criticism is not much more serious than the byeplay of clowns in a circus, when they beat about the ring the victim with bladders slung at the end of long poles. A time comes in the life of every author when he regards critics as comical, rather than formidable; and goes his way unheeding. But there are sensitive souls that yield under the chastisement, and perhaps, after suffering much silent torture, abandon the profession of the pen for ever. Keats, perhaps, is the saddest example of a fine spirit hounded to death by savage criticism; because, whatever his biographers may aver. that furious attack of Gifford and Terry undoubtedly expedited his death. But no doubt there are hundreds who suffer keenly from hostile and unscrupulous criticism; and who have to bear that suffering in silence, because it is a cardinal principle in literature that the most unwise thing in the world for an author is to take public notice of criticism in the way of defending himself. Silence is the only safeguard, as it is the only dignified protest against insult and offence. 46. The writer’s attitude towards the literary critics is of (1) reverence (2) indifference (3) scorn (4) respect Solution : 3 47. The writer’s advice to the literary artists regarding criticism of their work is to (1) defend it publicly (2) protest against it (3) withdraw it (4) maintain perfect silence Solution : 4 48. It is an established fact that our literary artists are (1) geniuses (2) talented (3) unhappy (4) successful Solution : 3 49. Young writers are (1) overconfident (2) sceptical (3) candid (4) canny Solution : 1 Page 19 of 75 50. The literary publishers publish only what is (1) best (2) saleable (3) topical (4) handy Solution : 2 Page 20 of 75 QUANTITATIVE APTITUDE 1. A completes a piece of work in 4 days and B completes it in 6 days. If they both work on it together, then the number of days required to complete the same work is Solution : 3 2. The length of the side of a square is 14cm. Find out the ratio of the radii of the inscribed and circumscribed circle of the square. (1) √2 : 1 (2) 1 : √2 (3) √2 : 3 (4) 2 : 1 Solution : 2 Page 21 of 75 3. A buys an article listed at 1200 and gets successive discounts of 10% and 20%. He spends 10% of his cost price on tranport. At what price should he sell the article to earn a profit of 15% ? (1) 1130.75 (2) 1092.96 (3) 1125 (4) 1100 Solution : 2 Page 22 of 75 4. The ratio of milk and water is 55 kg of a mixture is 7 : 4. The quantity of water that must be added to make the ratio 7 : 6 is (1) 15 kg (2) 10 kg (3) 51 kg (4) 12 kg Solution : 2 5. The next term of the series 1, 2, 6, 24, 120, ….is (1) 600 (2) 216 (3) 720 (4) 810 Solution : 3 6. The greatest number of 5 digits to be added to 8321, so that the sum will be exactly divisible by 15, 20, 24, 27, 32 and 36 is Page 23 of 75 (1) 99360 (2) 99679 (3) 99779 (4) 99879 Solution : 2 7. A and B invest in a business in the ratio 5 : 4. If 10% of the total profit goes to charity and A’s profit share is 7,500, then the total profit is (1) 7,500 (2) 10,000 (3) 12,000 (4) 15,000 Solution : 4 Page 24 of 75 8. (1) 4.899 (2) 2.551 (3) 1.414 (4) 1.732 Solution : 4 Page 25 of 75 9. The remainder, when1’737+ 2937 is divided by 23, is (1) 0 (2) 1 (3) 17 (4) 29 Solution : 1 10. A motor car goes to a place at a speed of 20 km/hr and returns from there at a speed of 30 km/hr. The average speed (in km/hr) of the car in the entire journey is (1) 26 (2) 25 (3) 24 (4) 24.5 Solution : 3 11. A man invests an amount of ‘T 15,860 in the names of his three sons A, B and C in such a way that they get the same amount after 2, 3 and 4 years respectively. If the rate of simple interest is 5%, then the ratio of amounts invested in the name of A, B and C is (1) 4 : 3 : 6 (2) 4 : 6 : 3 (3) 6 : 4 : 3 (4) 6 : 3 : 4 Solution : 3 Page 26 of 75 12. Solution : 4 Page 27 of 75 13. Solution : 3 Page 28 of 75 14. The average age of a group of 30 boys is 12 years. When 2 new boys join them, the average increases by 1/4 year. What is the averge age (in years) of the two new boys? (1) 12 (2) 13 (3) 14 (4) 16 Solution : 4 15. Average of two numbers is 7.5 and square root of their product is 6. What are the num:Jers? (1) 13 and 2 (2) 9 and 6 (3) 10 and 5 (4) 12 and 3 Solution : 4 Page 29 of 75 16. The profit earned by a shopkeeper by selling an article at a gain of 8% is ‘1 28 more than when he sells it at, a loss of 8%. The cost price of the article is (1) 170 (2) 190 (3) 175 (4) 165 Solution : 3 17. Krishna has 12 oranges with him. He sells x of them at a profit of 10% and remaining at a loss of 10%. He gains 5% on the whole outlay. The value of x is (1) 7 (2) 8 (3) 9 (4) 10 Page 30 of 75 Solution : 3 18. If x3 + y3 = 35 and x+y= 5, the Solution : 3 Page 31 of 75 19. (1) 1 (2) 2 (3) 1 (4) 2 Solution : 3 Page 32 of 75 20. The values of a and b (a > 0, b < 0) for which 8x3– ax2 + 54x + b be a perfect cube are (1) a= 12, b=9 (2) a = 36, b = 27 (3) a = 18, b = 27 (4) a = 16, b = 9 Solution : 2 21. If G is the centroid and AD be a median with length 12 cm of ΔABC, then the value of AG is (1) 4 cm (2) 8 cm (3) 10 cm (4) 6 cm Solution : 2 Page 33 of 75 22. ABC is a rightangled triangle. AD is perpendicular to the hypotenuse BC. If AC = 2 AB, then the value of BD is Solution : 2 23. The length of the portion of the straight line 8x + 15y = 120 intercepted between the axes is (1) 14 units (2) 15 units (3) 16 units (4) 17 units Page 34 of 75 Solution : 4 24. If (x+ 1) and (x 2) be the factors of x3 + (a + 1)x2– (b 2)x – 6, then the values of a and b will be (1) 2 and 8 (2) 1 and 7 (3) 5 and 3 (4) 3 and 7 Solution : 2 Page 35 of 75 25. (1) ± 4 (2) ± 9 (3) ± 3 (4) ± 2 Solution : 3 Page 36 of 75 26. If a = √2 + 1, b = √2 – 1, (1) 9 (2) 3 (3) 1 (4) 2 Solution : 3 Page 37 of 75 27. If a = 3 + 2√2 , then the value (1) 192 (2) 240 (3) 204 (4) 212 Solution : 3 Page 38 of 75 28. The perimeter of a rhombus is 146 cm and one of its diagonals is 55 cm. The other diagonal is (1) 92 cm (2) 73 cm (3) 48 cm (4) 72 cm Solution : 3 Page 39 of 75 29. ABCD is a cyclic quadrilateral. Sides AB. and DC, when produced meet at the point P and sides AD and BC. when produced meet at the point Q. If ∠ADC = 85° and ∠BPC = 40°, then ∠CQD is equal to (1) 30° (2) 40° (3) 55° (4) 85° Solution : 1 (1) Page 40 of 75 30. In a rightangled triangle ABC, AB = 2.5 cm, cos B = 0.5, ∠ACB = 90°. The length of side AC, in cm, is Solution : 3 Page 41 of 75 31. Solution : 3 32. The value of θ (0° < θ < 90°) for Page 42 of 75 (1) 30° (2) 45° (3) 60° (4) None of these Solution : 3 33. In ΔABC, AD is drawn perpendicular from A on BC. If AD2 = BD. CD, then ∠BAC is (1) 30° (2) 45° (3) 60° (4) 90° Solution : 4 Page 43 of 75 34. ABC is a triangle. The internal bisector of the angles ∠A, ∠B and ∠C intersect the circumcircle at X, Y and Z respectively. If ∠A = 50°, ∠CZY = 30°, then ∠BYZ, will be (1) 45° (2) 55° (3) 35° (4) 30° Solution : 3 Page 44 of 75 35. If a circle with radius of 10 cm has two parallel chords 16 cm and 12 cm and they are on the same side of the centre of the circle, then the distance between the two parallel chords is (1) 2 cm (2) 3 cm (3) 5 cm (4) 8 cm Solution : 1 36. Two circles of radii 8 cm and 2 cm respectively touch each other externally at the point A. PQ is the direct common tangent of those two circles of centres Oland 02 respectively. Then length of PQ is equal to (1) 2 cm (2) 3 cm (3) 4 cm (4) 8 cm Solution : 4 Page 45 of 75 37. O is the orthocentre of the triangle ABC. If ∠BOC = 120°, then ∠BAC is (1) 150° (2) 60° (3) 135° (4) 90° Solution : 2 38. Circumcentre of ΔABC is 0. If ∠BAC = 85°, ∠BCA = 80°, then ∠OAC is (1) 80° (2) 30° (3) 60° (4) 75° Solution : 2 Page 46 of 75 39. If cosθ + secθ = √3, then the value of cos3θ + sec3θ is (1) 0 (2) 1 (3) 1 (4) √3 Solution : 1 40. If for all real values of a, x = cos2α + sin2α, then the range in which x lies is Page 47 of 75 Solution : 1 41. The maximum value of 24 sinθ, + 7 cosθ is (1) 7 (2) 17 (3) 24 (4) 25 Solution : 4 42. In ΔABC, ∠A is a right angle and ∠D is perpendicular to BC. If AD = 4cm, BC = 12 cm, then the value of (cotB + cotC) is (1) 6 (2) 3 Page 48 of 75 (3) 4 (4) 3/2 Solution : 2 43. If sec θ+ tan θ = 2, then sec 0 is equal to Solution : 4 Page 49 of 75 44. If tan 2θ, tan 4θ = 1 then the value of tan 3θ is (1) 0 (2) 1 (3) 1/2 (4) 2 Solution : 2 45. A pole broken by the storm of wind and its top struck the ground at an angle of 30° and at a distance of 20 m from the foot of the pole. the height of the pole before it was Page 50 of 75 broken was Solution : 1 Page 51 of 75 Directions (46 – 50) : Study the graph and answer questions given below. Percentage of the candidates enrolled in seven different schools for the CBSE 10th examination and candidates who passed the examination is given by the following pie graph. Candidates Enrolled = 8550 Candidates Passed = 5700 46. What is the ratio of candidates passed to the candidates enrolled from the school A ? (1) 6 : 11 (2) 11 : 6 (3) 6 : 7 (4) 7 : 6 Solution : 1 Page 52 of 75 47. What percentage of candidates passed to the candidates enrolled for the schools B and C together ? (1) 60 (2) 72 (3) 76 (4) 80 Solution : 4 48. Which school has the highest percentage of candidates passed to the candidates enrolled ? (1) B (2) C (3) E (4) F Solution : 1 49. The number of candidates passed from the schools D and A together exceeds the number of candidates enrolled from the schools E and C together by Page 53 of 75 (1) 299 (2) 379 (3) 399 (4) 439 Solution : 3 50. What percentage of candidates passed in the examination from school E out of total number of candidates enrolled from the same school ? (1) 60 (2) 65 (3) 75 (4) 80 Solution : 3 Page 54 of 75 REASONING Directions (19) : In each of the following questions, select the related letters/word/number from the given alternatives. 1. Oxygen : Breathe : : ? (1) Pen : Ink (2) Disease : Birth (3) Bed: Rest (4) Glucose : Strength Solution : 4 (4) Oxygen is necessary to take breathe. Similarly, glucose is necessary for strength. 2. Thermometer : Heat : : Barometer : ? (1) Temperature (2) Pressure (3) Humidity (4) Altitude Solution : 2 (2) Heat is measured with Ther. momenter. Similarly, pressure is measured with Barometer. 3. Book : Library : ? (1) Fish : River (2) Aeroplane : Sky (3) Bouquet : Flower (4) Ship : Fleet Solution : 4 (4) Books are kept in Library. Library is such a place where collections of books, journals, magazines and newspapers are kept for people to read, study or borrow. Similarly, fleet is a group of ships. 4. CDF GHJ : ? (1) ABD PQR (2) KLN : OPR (3) PQR : STU (4) EFT : MNO Page 55 of 75 Solution : 2 5. CUZA : HYCC : NNJO ? (1) TURS (2) SRMQ (3) TRMP (4) SSNR Solution : 2 6. LITS : EDC : : : ? (1) GFE (2) XYM Page 56 of 75 (3) SJM (4) RST Solution : 1 7. 2 : 3 : 23 : ? (1) 25 (2) 28 (3) 46 (4) 29 Solution : 1 (1) 2 + 1 = 3 Add the number of digit(s) to the given digit. 23 + 2 = 25 8. 2 : 12 : : 8 : ? (1) 18 (2) 128 (3) 396 (4) 576 Solution : 1 (1) 2 +10 = 12 8+ 10 = 18 9. Secretive : Open : : Snide : ? (1) Hidden (2) Forthright (3) Outcome (4) Forward Page 57 of 75 Solution : 2 (2) Secretive (Adjective) means “liking to keep things secret. ” Open (Adjective) means “not enclosed”. Snide (Adjective) means critical in an indirect unpleasant way.” Forthright (Adjective) means “direct and honest in manner and speech.” ‘Secretive’ is antonym of ‘Open’. Similarly, ‘Snide’ is antonym of ‘Forthright’. Directions (10–18) : In each of the following questions, find the odd number/letters/word/number pair from the given alternatives. 10. (1) Steel (2) Silver (3) Copper (4) Gold Solution : 1 (1) Steel is an alloy while all others are metals. 11. (1) Delegate (2) Person (3) Deputy (4) Representative Solution : 2 (2) Delegate, Deputy and Representative are persons, assigned to do certain work. 12. (1) 4512 (2) 3621 (3) 1722 (4) 1109 Solution : 4 (4) The number 1109 is different from the other three numbers. Except 1109, all other numbers are completely divisible by 3. 13. (1) SORE (2) SOTLU Page 58 of 75 (3) NORGAE (4) MEJNIAS Solution : 3 14. (1) Bold (2) Brave (3) Heroic (4) Reserved Solution : 4 (4) Reserved is different from the other three words. 15. (1) Sweetmeat (2) Icecream (3) Chocolate (4) CocaCola Solution : 4 (4) CocaCola is a beverage. 16. (1) 1243 (2) 7516 (3) 4514 (4) 9425 Solution : 1 (1) The number 1243 is a multiple of 11. 1243 = 11 x 113 17. (1) 121 – 134 (2) 691 61516 (3) 136 1410 (4) 312 316 Page 59 of 75 Solution : 4 18. (1) 143 (2) 165 (3) 183 (4) 289 Solution : 4 (4) The number 289 is a perfect square. Directions (1921) : In each of the following questions, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it ? 19. A___VZAV___ZA_A (1) AVAZ (2) ZVZA (3) AZVA (4) ZVAZ Solution : 3 (3) 20. b_ccacca_ba_bbc_bc_a (1) baabc (2) abaaa Page 60 of 75 (3) acbca (4) bacab Solution : 1 (1) 21. ab_bbc_c_ab_ab_c (1) cacac (2) cbabc (3) bccab (4) cacab Solution : 4 (4) Directions (2225) : In each of the following questions, a series is given, with one/two term(s) missing. Choose the correct alternative from the given ones that will complete the series. 22. YXZXWYWVXZ_?_?_ (1)V U (2) W U (3) U W (4) V W Solution : 3 23. BIO __?__ XA (1) T (2) R (3) V (4) P Page 61 of 75 Solution : 1 (1) 24. BE ? QZ (I) K (2) C (3) J (4) I Solution : 3 (3) 25. 4, 8, 11, 22, 25, ? (1) 26 (2) 50 (3) 28 (4) 53 Solution : 2 26. If REEXAMINATION is written as EXAMINATIONER, how can REFORMER be written in that code? (1) REFORMRE (2) REFROMER (3) FORREMER (4) FORMERER Solution : 4 Page 62 of 75 27. Find out the set among the four sets which is like the given set. Given set (48, 64, 78) (1) 16, 43, 58 (2) 74, 48, 64 (3) 13, 28. 44 (4) 17, 25, 42 Solution : 2 (2) In the given set, all the three members are even and one number is both square and cube. 64 = (8)2 = (4)3 28. If the uncle of the father of Rani is the grandson of the father of Anup and Anup is the only son of his father, then what is the relation of Anup with Rani ? (1) Grandfather (2) Uncle (3) Maternal Uncle (4) Greatgrandfather Solution : 4 (4) Grandson of Anup’s father means the son of Anup as Anup is the only son of his father. The son of Anup is grandfather of Rani. Therefore, Anup is greatgrandfather of Rani 29. The daugher of the son of the father of my father’s sister is to me (1) Aunt (2) Sister (3) Daughter (4) Niece Solution : 2 (2) Father of one’s father’s sister is grandfather of that person. The son of grandfather would be either father or uncle of that person. The girl in question is sister of that person. 30. In this question, a word has been given followed by four other words, one of which cannot be formed by using the letters of the given word. Find this word. Page 63 of 75 `CHEMOTHERAPY’ (1) HECTARE (2) MOTHER (3) THEATRE (4) RAPED Solution : 4 (4) There is no `D’ letter in the given word. 31. If TRAIN is coded as WUDLQ, how is the word BUS coded? (1) EXU (2) DWU (3) EXV (4) VXE Solution : 3 (3) 32. 32. In a certain code, NATION is written as ANITNO. In that code, which word will be written as EROFMR? (1) FORMER (2) ROMFER (3) REFORM (4) FROMRE Solution : 3 Page 64 of 75 33. In the following question `Δ’ means ‘bigger than’, `• ‘ means ‘smaller than’, `Φ’ means ‘is equal to’, ‘⊕’ means ‘is not equal to’, If CΔA; A•B; DΦB and B• C, then (1) DΔC (2) D• C (3) AΔC (4) B⊕D Solution : 2 34. When 12 + 10 = 1205, 11 + 8 = 855, then 16 + 15 = ? (1) 2405 (2) 105 (3) 1025 (4) 130 Solution : 1 Page 65 of 75 Directions (3537) : In each of the following questions, find the missing number in the number pattern. 35. 268 (29) 210 218 (?) 166 (1) 42 (2) 25 (3) 26 (4) 29 Solution : 3 36. (1) 24 (2) 19 (3) 22 (4) 20 Solution : 3 Page 66 of 75 37. (1) 312 (2) 412 (3) 512 (4) 612 Solution : 3 38. If ASHA equals 79, then NAYBHUSHAN =? (1) 211 (2) 200 (3) 144 (4) 130 Solution : www.thetubeguru.com Page 67 of 75 39. If I walk at 4 km an hour from my house, I miss the bus by 7 minutes and if I walk at 6 km an hour, I reach the busstop 8 minutes too early. How far is the busstop? (1) 141un (2) 7 km (3) 72 km (4) 8 km Solution : Page 68 of 75 40. If PRESENTATION is written as REPSENTATION, how can COMMENDATION be written in that code? (1) NCOMENDATION (2) OMCMENDATION (3) IONENCOMMDAT (4) DATIONENCOMM Solution : 2 41. If MATCH is coded as NCWGM and BOX as CQA, then which of the following is coded as OQWIGUVS? (1) NOTEBOOK (2) NOTEBOKE (3) NOTFBOPE (4) MOKEBOOT Solution : 1 (1) Page 69 of 75 42. If STOP is coded as 19 20 15 16, how can we code the word POTS? (1) 15 16 20 19 (2) 19 20 15 16 (3) 16 15 20 19 (4) 16 15 19 20 Solution : 3 43. If in a certain code, ADVENTURE is coded as BFYISZBZN, how is COUNTRY coded in that code? (1) DPVOUSZ (2) DQXRYXF (3) EQWPVTA (4) BNTMSQX Solution : 2 (2) Page 70 of 75 Directions (4445) : In each of the following questions, two statements are given, followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. 44. Statements : 1. Some cats are kittens. 2. All dogs are kittens. Conclusions : (I) Some cats are dogs. (II) Some dogs are cats (1) Only conclusion I follows (2) Only conclusion II follows (3) Neither conclusion I nor II follows (4) Both conclusions I and II follow Solution : 3 Page 71 of 75 45. Statements : 1. Science teachers do not use plastic bags. 2. Plastic bags are not used by some Engieers. Conclusions : (I) All Science teachers are Engineers. (II) All Engineers do not use plastic bags. (1) Only conclusion I follows (2) Only conclusion II follows (3) Both conclusions I and II follow (4) Neither conclusion I nor II follows Solution : 4 (4) From general statements, Universal Conclusions cannot be drawn. 46. Which answer figure completes the form in the question figure? Question Figure Solution : 3 Page 72 of 75 47. From the answer figures, find out the figure pattern embedded in the question figure. Question Figure Solution : 3 48. A sheet of paper has been folded as shown by the question figure. You have to figure out from amongst the four answer figures how it will appear when opened ? Question Figure Solution : 2 49. Which of the answer figures is exactly the mirror image of the question figure if a mirror is placed on the line MN? Page 73 of 75 Question Figure Solution : 4 50. A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 7 can be represented by 31, 76, etc. and ‘S’ can be represented by 14, 99, etc. Similar – ly, you have to identify the set for the word NEST. (1) 65, 68, 23, 87 (2) 58, 43, 13, 33 (3) 21, 85, 69, 31 (4) 12, 56, 99, 32 Solution : 3 (3) Page 74 of 75 Page 75 of 75
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