Test-I: Quantitative Aptitude

Transcription

1 Test-I: Quantitative Aptitude Directions (Q. 1-5): What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.) ? ) 2 2) 4 3) 12 4) 15 5) 7 2. (14.98) 2 - (3.99) 3 + (8.01) 3 =? 1) 675 2) 600 3) 700 4) 580 5) % of % of 601 =? 1) 580 2) 470 3) 400 4) 540 5) =? ) ) ) 10,000 4) 10,500 5) 9, =? 1) 460 2) 550 3) 365 4) 250 5) 9,700 Directions (Q. 6-10): What will come in place of question mark (?) in the following number series? (?) 1) 264 2) 278 3) 265 4) 291 5) None of these (?) 1) 87 2) 92 3) 89 4) 93 5) None of these (?) 1) 216 2) 238 3) 240 4) 206 5) None of these (?) 1) 107 2) 113 3) 109 4) 103 5) None of these (?) 1) 118 2) 107 3) 98 4) 92 5) None of these Directions (Q ): In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer 1) If x > y 2) If x y 3) If x < y 4) If x y 5) If x = y or the relationship cannot be established I. x (1296) 58 II. ( y) (y) I. 2x + 3y = 19 II.7x - 4y = I. x x II. y y 14. I. 16 x II. y (11) 15. I. x 0 x

2 18 II. y y 7 y 16. A man sold an item for Rs 6,750 at a loss of 25%. What will be the selling price of same item if he sells it at a profit of 15%? 1) Rs 10,530 2) Rs 9,950 3) Rs 10,350 4) Rs 11,340 5) None of these 17. The sum of the circumference of a circle and the perimeter of a rectangle is 132 cm. The area of the rectangle is 112 sq cm and its breadth is 8 cm. What is the area of the circle? 1) 616 sq cm 2) 540 sq cm 3) 396 sq cm 4) Cannot be determined 5) None of these 18. The cost of 5 kg of apple is equal to the cost of 12 kg of rice. The cost of 3 kg of flour is equal to one kg of rice. The cost of one kg of flour is Rs What is the total cost of 3 kg of apple 2 kg of rice and 4 kg of flour together? 1) Rs 543 2) Rs 527 3) Rs 563 4) Rs 120 5) None of these 19. Thirty-five percent of 740 is 34 more than a number. What is two-fifths of the number? 1) 45 2) 90 3) 180 4) 120 5) None of these 20. The ratio of the angles of a quadrilateral is 6 : 3 : 4 : 5. The smallest angle of a triangle is one-fourth the largest angle of the quadrilateral. The largest angle of the triangle is 10 more than the second largest angle of the triangle. What is the second largest angle of the triangle? 1) 80 2) 60 3) 70 4) Cannot be determined 5) None of these Directions (Q ): Study the following Pie-chart and the table given below it carefully to answer these questions. Percentage-wise Distribution of lecturers in six different subjects in a university Total Nnumber of Lecturers: 1600 Percentage of Lecturers Physics 14% Zoology 22% M athematics 21% Chemistry 13% Education 18% Hindi 12% Ratio of male to Female Lecturers in the University Lecturers Mathematics Education Hindi Chemistry Physics Zoo log y Males Females Total number of lecturers (both male and female) in Hindi is approximately what per cent of the total number of female lecturers in Mathematics and Chemistry together?

3 1) 58 2) 43 3) 47 4) 51 5) What is the difference between the total number of lecturers (both male and female) in Zoology and the total number of male lecturers in Chemistry and Education together? 1) 192 2) 182 3) 146 4) 136 5) None of these 23. What is the difference between the number of female lecturers in Zoology and the number of male lecturers in Hindi? 1) 156 2) 160 3) 150 4) 153 5) None of these 24. What is the total number of male lecturers in the university? 1) 696 2) 702 3) 712 4) 668 5) None of these 25. What is the ratio of the number of female lecturers in Physics to the number of male lecturers in Mathematics? 1) 5 : 9 2) 2 : 9 3) 3 : 7 4) 5 : 3 5) None of these 26. A train covered a distance of 1235 km in 19 hours. Also, the average speed of a car is four-fifths the average speed of the train. How much distance will the car cover in 22 hours? 1) 1234 km 2) 1144 km 3) 1134 km 4) 1244 km 5) None of these 27. The ratio of the present ages of Meera and Priya is 3 : 4. Ten years ago the ratio of their ages was 4 : 7. What will be Meera s age after 5 years? 1) 18 years 2) 24 years 3) 23 years 4) 29 years 5) None of these 28. The average marks of nine students in a group is 63. Three of them scored 78, 69 and 48 marks. What is the average marks of the remaining six students? 1) ) 64 3) 63 4) ) None of these 29. A bag contains 7 red balls, 4 green balls and 5 yellow balls. What is the probability that 3 balls drawn at random are either green or yellow? 1 1) ) ) ) 40 5) None of these 30. Six boys or four men can complete a piece of work in 24 days. In how many days will 3 boys and 10 men together complete the same piece of work? 1) 6 2) 8 3) 12 4) Cannot be determined 5) None of these Directions (Q ): Study the following information carefully to answer the questions that follow: In a tournament, a total number of 400 players have participated in five different sports, viz badminton, hockey, lown tennis, cricket and baseball. 15 per cent of the total players have participated in badminton. Two-fifths of the total players have participated in hockey. 6 per cent of the total players have participated in lawn tennis. 25 per cent of the total players have participated in cricket. Remaining players have participated in baseball. One-fourth of the hockey players are females. 20 per cent of badminton players are males. Half the players who have participated in Lawn Tennis are males. There are 45 female cricket players. No female player has participated in baseball. 31. The number of female players participating in badminton is approximately what percentage of the number of players participating in baseball? 1) 72 2) 75 3) 80 4) 95 5) What is the difference between the number of male players participating in hockey and the number of female players participating in lawn tennis? 1) 92 2) 98 3) 102 4) 108 5) None of these 33. If due to certain reason cricket game was dropped and all the cricket players left the tournament, then what would be the total number of male players in the tournament? 1) 200 2) 210 3) 190 4) 220 5) None of these 34. What is the ratio of the number of male players participating in badminton to the number of female

4 players participating in hockey? 1) 3 : 11 2) 3 : 10 3) 6 : 11 4) 11 : 6 5) None of these 35. What is the total number of female players participating in the tournament? 1) 130 2) 120 3) 145 4) 155 5) None of these Test-II: Reasoning Ability Directions (Q ): Study the following information carefully and answer the given questions. In an international meet, representatives A, B, C, D, E, F G and H from eight different countries, viz Thailand, France, Holland, Austria, US, Spain, India and Germany (not necessarily in the same order), sit around a circular table facing the centre. A, who represents Germany, sits third to the left of E. The one who is from India sits on the immediate right of A. D, who is from Holland, sits second to the right of B. B is not an immediate neighbour of E. C, who is from Spain, sits exactly in the middle of people representing US and India. G, the representative from France, sits second to the left of H, who is from Thailand. 36. How many people sit between A and the representative from Austria when counted in clockwise directions? 1) None 2) One 3) Two 4) Three 5) Four 37. Which of the following is TRUE regarding representative F? 1) F is the representative of Austria. 2) F sits second to the left of the representative from Thailand. 3) The representative from Germany is not an immediate neighbour of F. 4) E sits third to the right of F. 5) None of these 38. In which of the following pairs is the representative from the first country sitting on the immediate left of the representative from the second country? 1) India-Thailand 2) Austria-US 3) Thailand-Holland 4) Spain-Germany 5) US-Spain 39. What is the position of B with respect to the position of the representative from the US? 1) Third to the left 2) Fourth to the right 3) Fourth to the left 4) Second to the right 5) Second to the left 40. Which of the following pairs represents the immediate neighbours of the representative from Holland? 1) CG 2) BE 3) AH 4) HB 5) GE 41. The representative from which of the following countries is seated second to the left of the Indian representative? 1) Thailand 2) US 3) France 4) Spain 5) None of these 42. The representative from which of the following countries sits exactly in the middle of the representatives from Thailand and France? 1) Holland 2) Austria 3) Germany 4) US 5) None of these Directions (Q ): Read the following information/statement carefully and answer the questions. 43. Which of the following expressions will be true if the given expression K G > H F is definitely true? 1) F K 2) H > K 3) F < G 4) K H 5) None of these 44. In which of the following expressions will the expression A < D be definitely true? 1) A B = C < D 2) A > B = C D 3) A < B = C D 4) A > B < C D 5) None of these

5 45. In which of the following expressions does the expression M > R does not hold true? 1) M = P > Q > R 2) M > P Q = R 3) R = P < Q < M 4) R < Q P = M 5) M = P < Q = R Directions (Q. Q ): In each question below are three statements followed by two conclusion numbered I and II. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts. Give answer: 1) if only conclusion I follows. 2) if only conclusion II follows. 3) if either conclusion I or conclusion II follows. 4) if neither conclusion I nor conclusion II follows. 5) if both conclusion I and conclusion II follow. 46. Statements: All typhoons are cyclones. All winds are typhoons. All clouds are winds. Conclusions: I. All typhoons are clouds. II. All clouds are cyclones. 47. Statements: Some floppies are keyboards. All keyboards are speakers. All speakers are monitors. Conclusions: I. Some monitors are floppies. II.All keyboards are monitors. 48. Statements: Some keys are locks. Some locks are doors. All doors are windows. Conclusions: I. Some keys are doors. II.Some windows are locks. 49. Statements: All islands are countries. All continents are islands. All planets are countries. Conclusions: I. Some continents are not countries. II.No planet is a continent. 50. Statements: All buses are scooters. No scooter is a train. Some trains are jeeps. Conclusions: I. No bus is a train. II.Some jeeps are scooters. 51. Town C is towards the South of town B and town A is towards the North of town C. In which of the following directions is town A with respect to town B? 1) North 2) South 3) South-West 4) Cannot be determined 5) West 52. How many such pairs of letters are there in the word MARGINS, each of which has as many letters between them in the word (in both forward and backward directions) as they have between them in the English alphabetical series? 1) None 2) One 3) Two 4) Three 5) More than three 53. If it is possible to make only one meaningful word with the third, fourth, eighth and ninth letters of the word CENTURIES which would be the second letter of the word from the left? If more than one such word can be formed, give A as the answer. If no such word can be formed, give Z as your answer. 1) A 2) N 3) T 4) E 5) Z 54. The position of how many alphabets will remain unchanged if each of the alphabets in the word

6 PRODUCTS is arranged in alphabetical order from left to right? 1) None 2) One 3) Two 4) Three 5) More than three 55. Which of the following represents the correct relationship as indicated in the given figure? 1) Vegetables : Apples : Fruits 2) Gears : Tyres : Cars 3) Cone : Cylinder : Sphere 4) Planets : Solar system : Galaxy 5) Gold : Silver : Metal Directions (Q ): Study the following information carefully and answer the questions given below: A, B, C, D, E, F, G and H are eight students of a school. They study in Std VI, VII and VIII with not more than three in any Std. Each of them has a favourite subject from Physics, Geography, English, Marathi, Mathematics, Chemistry, Biology and Economics not necessarily in the same order. D likes Chemistry and studies in Std VIII with only H. B does not study in Std VII. E and A study in the same Std but not with B. C and F study in the same Std. Those who study in Std VI do not like Mathematics or Biology. F likes Physics. The one who studies in Std VIII likes English. C does not like Geography. A s favourite subject is Marathi and G does not like Biology. 56. Which subject does H like? 1) English 2) Marathi 3) Science 4) Data inadequate 5) None of these 57. What is G s favourite subject? 1) Biology 2) Physics 3) Marathi 4) Data inadequate 5) None of these 58. What is C s favourite subject? 1) Economics 2) Biology 3) English 4) Geography 5) Data inadequate 59. Which of the following combinations of student-std Subject is correct? 1) C-VII-Economics 2) D-VI-Chemistry 3) G-VII-Physics 4) B -VIII - Mathematics 5) None is correct 60. Which of the following groups of students study in Std VII? 1) EAF 2) ECG 3) EAG 4) Data inadequate 5) None of these Directions (Q ): Study the following information to answer the given questions: (i) In a family of 6 persons, there are two couples. (ii) The Lawyer is the head of the family and has only two sons Mukesh and Rakesh both Teachers. (iii) Mrs. Reena and her mother-in-law both are Lawyers. (iv) Mukesh s wife is a Doctor and they have a son, Ajay. 61. Which of the following is definitely a couple? 1) Lawyer-Teacher 2) Doctor-Lawyer 3) Teacher-Teacher 4) Cannot be determined 5) None of these 62. What is the profession of Rakesh s wife? 1) Teacher 2) Doctor 3) Lawyer 4) Cannot be determined 5) None of these 63. How many male members are there in the family? 1) Two 2) Three 3) Four 4) Cannot be determined 5) None of these 64. What is/was Ajay s Grandfather s occupation? 1) Teacher 2) Lawyer 3) Doctor 4) Cannot be determined 5) None of these 65. What is the profession of Ajay? 1) Teacher 2) Lawyer 3) Doctor 4) Cannot be determined 5) None of these Directions (Q ): Study the following information to answer the given questions: (a) Six plays are to be organised from Monday to Sunday one play each day with one day when there

7 is no play. No play day is not Monday or Sunday. (b) The plays are held in sets of 3 plays each in such a way that 3 plays are held without any break, ie 3 plays are held in such a way that there is no No play day between them but immediately before this set or immediately after this set it is No play day. (c) Play Z was held on 26th and play X was held on 31 st of the same month. (d) Play B was not held immediately after play A (but was held after A, not necessarily immediately) and play M was held immediately before Q. (e) All the six plays were held in the same month. 66. Which play was organised on Monday? 1) Z 2) M 3) Q 4) Cannot be determined 5) None of these 67. Which day was play Z organised? 1) Tuesday 2) Monday 3) Wednesday 4) Cannot be determined 5) None of these 68. Which date was a No play day? 1) 26th 2) 28th 3) 29th 4) Cannot be determined 5) None of these 69. Which of the following is true? 1) Play B is held immediately before play M. 2) Play Z is held after play B. 3) There was a gap after 2 plays and then 4 plays were organised. 4) First play was organised on the 25th. 5) Play B was held on Friday. 70. Which day was play Q organised? 1) Friday 2) Wednesday 3) Saturday 4) Cannot be determined 5) None of these Test- III: English Language Directions (Q ): In each of the following questions four words are given, of which two are most nearly the same or opposite in meaning. Find the two words which are most nearly the same or opposite in meaning and indicate the number of the correct letter combination, by darkening the appropriate oval in your answersheet. 71. A. Disciple B. Student C. Academy D. Martyr 1) A-C 2) C-D 3) B-C 4) B-D 5) A-B 72. A. Magnetic B. Cherished C. Valued D. Forlorn 1) C-D 2) A-B 3) B-D 4) B-C 5) A-D 73. A. Ordinary B. Vague C. Custom D. Exceptional 1) A-B 2) B-C 3) C-D 4) A-D 5) B-D 74. A. Damaged B. Hurried C. Condemned D. Measured 1) A-B 2) C-D 3) B-D 4) B-C 5) A-D 75. A. Remote B. Troubled C. Secluded D. Apparent 1) B-C 2) A-D 3) B-D 4) C-D 5) A-C Directions (Q ): Rearrange the following six sentences A, B, C, D, E and F in the proper sequence to form a meaningful paragraph; then answer the questions given below them. A. A legal framework is thus now available for promoting energy efficiency in all sectors of the economy. B. The increasing preference for commercial energy has led to a sharp increase in the demand for electricity and fossil fuels. C. There is still a considerable potential for repairing such damage and reducing energy consumption by adopting energy-efficiency measures at various sectors of our country. D. This framework is nothing but the Energy Conservation Act, 2001, the success of which greatly

8 depends on the people who take the lead in supporting this programme. E. This use of fossil fuels has resulted in emission of a huge quantity of carbon dioxide causing serious environmental damage. F. These adopted measures will not only reduce the need to create new capacity requiring high investment, but also result in substantial environmental benefits. 76. Which of the following should be the FIRST sentence after rearrangement? 1) A 2) B 3) C 4) D 5) E 77. Which of the following should be the FOURTH sentence after rearrangement? 1) E 2) F 3) A 4) D 5) B 78. Which of the following should be the SECOND sentence after rearrangement? 1) B 2) C 3) D 4) E 5) F 79. Which of the following should be the LAST (SIXTH) sentence after rearrangement? 1) A 2) B 3) C 4) D 5) E 80. Which of the following should be the FIFTH sentence after rearrangement? 1) A 2) B 3) C 4) D 5) E Directions (Q ): Read each sentence to find out whether there is any grammatical or idiomatic error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is 5. (Ignor errors of punctuation, if any). 81. More than half the food product 1)/targeted at babies and toddlers have 2)/ a high sugar content and are 3)/ excessive sweet. 4)/ No error 5) 82. The foreign company has so far declined to 1)/ directly comment on the Indian company s move,2)/ which analysts say is a sign the company wanting to 3)/ fight for its presence in the market. 4)/ No error 5) 83. After forty years of trying to 1)/ understand why asbestos causes cancer 2) / researchers have now finally 3)/ unravelled the mystery. 4)/ No error 5) 84. A property dealer was 1)/shoot dead by four unidentified jacket-clad men 2) / while taking a morning walk 3)/ in a park. 4)/ No error 5) 85. The auditions for India s first ever 1)/ reality-based pop band hunt, is 2)/ going on in full swing, 3)/ with numerous entries came in. 4)/ No error 5) Directions (Q ): Which of the phrases 1, 2, 3 and 4 given below each sentence should replace the word/phrase printed in bold in the sentence to make it grammatically correct? If the sentence is correct as it is given and no correction is required, mark 5 as the answer. 86. Since Riya did not want to be disturbed while studying, she left the phone off hooks. 1) off the hook 2) off hooking 3) for the hook 4) of hook 5) No correction required 87. Since Shilpa was overburdened with work, Deepa decided to gave her hand. 1) giving hands 2) give her a hand 3) giving her handful 4) gave her hands 5) No correction required 88. Despite having passed out from school over ten years back, most schoolmates has keep touch with each other. 1) are kept touched 2) is keeping touch 3) keep touched 4) had kept in touch 5) No correction required 89. Seeta has well awareness of the fact that her actions would have terrible repercussions. 1) was well aware of 2) has aware for 3) is aware to 4) is in awareness with 5) No correction required 90. Shashi tried as hard he would to win the race but failed to do so 1) as hardly so he could 2) as hard as he could 3) hardly so as 4) so hard that could 5) No correction required

9 Directions (Q ): Read the following passage carefully and answer the questions given below it. Certain words/phrases have been printed in bold to help you locate them while answering some of the questions. A few weeks ago, a newspaper article quoted a well. known scientist saying, IT has destroyed Indian science. One can speculate about the various ways in which the growth of the IT sector and other similar knowledge industries such as biotechnology has led to a decline in basic scientific research in India. The most obvious reason is money: Pay scales in IT and BT are much higher than one can aspire to in academia. The argument goes: why should a bright BTech or MSc student enroll in a PhD programme when she can make a lot more money writing code? Not only does a fresh IT employee make a lot more than a fresh M Tech student, his/her pay will rise much faster in IT than in academia. A professor s pay at a government-run university, even after the Sixth Pay Commission, tops out at far less than a senior executive s salary in a major industry. Second, the social status of IT and BT jobs equal or even exceed the social status of corresponding academic positions, since they are seen as knowledge industries, which plays to the best and worst instincts of the societal order. As quintessential white-collar professions, neither do they compel a successful entrepreneur to resort to violence and corruption, nor do they demand any physical labour. Unlike real estate or road construction, it is felt that IT workers can become rich while staying honest and sweat-free. Assuming that the labour pool for academia and IT is roughly the same, the difference in our collective preferences biases the labour market towards IT and away from academia. Further, when the imbalance between IT and academia continues for years and even decades, a destructive loop, from academia s point of view, is created. When our best and brightest take IT jobs over academic ones for a decade or more, faculty positions in our universities and research centres are no longer filled by the best candidates. As faculty quality goes down, so does the capacity to train top-class graduate students who, after all, are teachers in training. In response to decreasing faculty quality, even those students who otherwise choose an academic profession, decide to join industry or go abroad for their studies. These foreign trained graduated prefer to come back to corporate India if at all they do come back and, the downward cycle replicates itself in each generation. In other words, academia is trapped within a perfect storm created by a combination of social and economic factors. In this socio-economic calculus, the members of our societal classes should prefer an IT job to an academic one. Or, to put it another way, the knowledge economy, ie, the creation of knowledge for profit, trumps the knowledge society, ie, the creation of knowledge for its own sake or the safe of the greater good. As is said, Knowledge is power, but money is even more power. Perheps the scientist was alluding to this victory of capitalism over the pursuit of pure knowledge when he accused IT of having a negative influence on Indian science. Surely, knowledge has become a commodity like any other and as a result, knowledge workers are like any other labourers, who will sell their wares to the highest bidder. One solution is to accept and even encourage the commoditisation of knowledge; if so, Indian universities and research centres should copy their western counterparts by becoming more and more like corporations. These centres of learning should convert themselves into engines of growth. In this logic, if we increase academic salaries and research grants to match IT paycheques we will attract good people into academia, where, in any case, it is rumoured that a certain elusive feeling called the quality of life is better. 91. According to the passage, what did the scientist actually mean when he said, IT has destroyed Indian science? 1) The centres meant for scientific research are being utilised by IT industries. 2) The IT industry does not employ people pursuing higher studies. 3) As information is readily available on the Internet because of IT, there is no need to seek further information. 4) IT has distorted the truth as stated by Indian science. 5) The desire for money has overshadowed the search for knowledge. 92. Which of the following is possibly the most appropriate title for the passage? 1) Is the Future of IT Bright? 2) The IT Industry and the World Economy 3) Research and Academics Losing the Battle Against IT 4) Scientific Research and the Need for Well-Trained Faculty

10 5) Information Technology and its Advantages 93. Why does the author say that knowledge has become a commodity? 1) As it is no longer desirable in any professional field 2) As there are too many educational institutes in the country which do not provide quality education 3) As knowledge is now available easily as compared to the past 4) As knowledgeable people sell their services for the highest price possible 5) Like commodities, knowledge too becomes stale after a certain period. 94. What, according to the author, is a destructive loop? 1) Many people quit their existing jobs to work in the IT industry, which in turn leads to the downfall of the other industries. 2) The fact that the best minds do not want to become teachers and this in turn leads to good students seeking knowledge elsewhere. 3) The fact that people working in the IT industry do not pursue higher studies, which in turn leads to the deterioration in the quality of employees 4) The unending use of resources by the IT industry leading to a dearth of resources in the country 5) Less grants are being provided by the Government to academic institutes, which in turn leads to poor quality students joining the same. 95. Which of the following mentioned below is/are the author s suggestion/s to promote interest in Indian academia? A. Research centres should adopt the corporate culture as is done in the West. B. Lessening the number of research grants given C. Making academic salaries equivalent to those paid in IT industries l) Only C 2) Only A 3) Only B and C 4) Only A and C 5) None of these 96. Which of the following is true about the perception towards IT jobs as given in the passage? A. They are physically tiring. B. They are considered to be managerial-level jobs. C. They require usage of dishonest means. 1) Only B 2) Only A and B 3) Only C 4) Only B and C 5) All A, B and C are true Directions (Q ): Choose the word/group of words which is most similar in meaning to the word /group of words printed in bold as used in the passage. 97. ALLUDING 1) referring 2) breaking 3) escaping 4) imposing 5) clinging 98. QUINTESSENTIAL 1) typical 2) different 3) necessary 4) unique 5) excellent Directions (Q ): Choose the word/group of words which is most opposite in meaning of the word/ group of words printed in bold as used in the passage. 99. BRIGHT l) soft 2) dark 3) dull 4) vivid 5) dim 100. ELUSIVE 1) definite 2) happy 3) mysterious 4) worthwhile 5) remarkable

11 ; ; (14.98) 2 - (3.99) 3 + (8.01) 3 (15) 2 - (4) 3 + (8) = = ; 35% of % of 600 = = ; =? = =?? = ; = = = ;The given series is +(13 6), +(13 5), +(13 4), +(13 3), +(13 2) ;The given series is 8. 1;The given series is +(2) 2, +(3) 3, +(4) 2, +(5) 3, +(6) ;The given series is 10. 5;The given series is -336, - (336 2)- (336 4), -(336 8), - (336 16) ;I. x 58 (1296) x = II. 3 3 y y 3 = 512 y = ;2x + 3y = (i) 4 7x - 4y = (ii) 3 8x + 12y = (iii) 21x - 12y = (iv) Solving these two equations we get x = 5, y = ;

12 14. 2;I. 16 x x 18 = 11-4 = 7 x + 18 = 49 x = 31 II. 2 y y = (11) 15. 5;I. x 1 x 2 x = 11 II. 18 y 7 y y x (11) 18 7 y y 11 = y ;CP of the item SP of the same item on 15% profit is = ` ;Length of the rectangle = = 14 cm Perimeter of the rectangle = 2(14 + 8) = 2 22 = 44 cm Circumference = = 88 cm Radius of the circle = cm Area of the circle = π(14) 616cm 18. 5; Let the cost of 1 kg apple = ` x Similarly let the cost of 1 kg rice = ` y Let the cost of 1 kg flour = ` z Then, 5x = 12y... (i) 3z = y... (ii) Putting value of z in equation (ii), we get the value of y and putting value of y in equation (i) we can get the value of x. Also, 3x + 2y + 4z = = = ` ; Let the angles of the quadrilateral be 6x, 3x, 4x and 5x. Then, 6x + 3x + 4x + 5x = x = 360 x = 20 The smallest angle = = 30 Let the 2nd largest angle of the triangle be x. Then, x + x = 180 = 2x = 140 x = ; Total number of lecturers (male + female) in Hindi= 12% of 1600 = 192 Total number of female lecturers in Mathematics & Chemistry together

13 = % of 1600 = % of = 182 = 374 Required percentage = % ;Total number of lecturers in Zoology = 22% of 1600 = 352 Total number of male lecturers in Chemistry and Education = 1 13% 8 of % of = = 206 Required difference = = ;Number of female lecturers in Zoology = 9 22% of 1600 = Number of male lecturers in Hindi = 1 12% of 1600 = 48 4 Required difference = = ;Total number of male lecturers in university = % % of % of % of 1600 = = ;Respective ratio = 26. 2;Average speed of train = : : = 65 km/h 4 Average speed of car 65 = 52 km/h 5 Distance travelled by car in 22 hours = = 1144 km 27. 3;Let the ages of Meera and Priya be 3x yrs and 4x yrs. 3x 10 4 Then,, Solving the equations, 4x 10 7 we get x = 6 Meera s age after 5 years = = 23 yrs ;Total marks of 9 students = 9 63 = 567 years Total marks of remaining 6 students = ( ) Average marks of 6 students = ;Required probability = c c c ;6 boys = 4 men 3 boys = 2 men 13% % of

14 No. of days (3 boys + 10 men) can do the same job = 24 4 = 8 12 (31-35): Badminton = 15% of 400 = 60 Hockey = = 160 Lawn tennis = 6% of 400 = 24 Cricket = 25% of 400 = 100 Baseball = ( ) = = 56 No. of female players who plays Hockey = No. of male badminton players = 20% of 60 = 12 No. of male and female players who plays lawn tennis = ;Approximate percentage % ;Required difference = = ;Required ratio = 12 : 40 = 3 : (36 42): 36. 3; D and H ; Holland ;All clouds are winds + All winds are typhoons = A + A = A = All clouds are typhoons conversion Some typhoons are clouds (I). Hence I does not follow. All clouds are typhoons + All typhoons are cyclones = A + A = A = All clouds are cyclones. Hence II follows ;All keyboards are speakers + All speakers are monitors = A + A = A = All keyboards are monitors. Hence II follows. Some floppies are keyboards + All keyboards are monitors = I + A = I = Some floppies are monitors conversion Some monitors are floppies. Hence I follows ;Some keys are locks + Some locks are doors = I + I = No conclusion. Hence I does not follow. Some locks are doors + All doors are windows = I + A = I = Some locks are windows conversion Some windows are locks. Hence II follows ;All continents are islands + All islands are countries = A + A = A = All continents are countries. Hence I does not follow. All continents are countries + conversion of All planets are countries = A + I = No conclusion. Hence II does not follow ;All buses are scooters + No scooter is a train = A + E = E = No bus is a train. Hence I follows. No scooter is a train + Some trains are jeeps = E + I = O H = Some jeeps are not scooters. Hence II does not follow ;C is south of both B and A. But the relative positions of A and B can t be determined A can be either north or south of B.

15 52. 3; 53. 1;NEST, NETS, SENT and TENS 54. 3; 55. 1;Apples are fruits while vegetables are neither : Student Std Subject A VII Marathi B VI Geography C VI Economics D VIII Chemistry E VII Biology F VI Physics G VII Maths H VIII English ; Maths (61 65): ;Rakesh, Mukesh and Ajay 64. 4;The family doesn t have Ajay s grandfather (66-70): Date Day Play 25 Monday A 26 Tuesday Z 27 Wednesday B 28 Thursday No play 29 Friday M 30 Saturday Q 31 Sunday X 66. 5; A ;Same 72. 4;Same 73. 4;Opposite 74. 3;Opposite 75. 5;Same 76-80: BECFAD ; Substitute excessively.

16 82. 3;Insert of between sign and the ;Substitute shot dead ;Substitute having come in ; Capitalism has won over the pursuit of pure knowledge ; Note how IT has destroyed Indian science ; Read the first sentence of the last paragraph ; Read the fourth and fifth paragraphs ; Read the last paragraph ; IT jobs are white collar professions