SECTION A: VERBAL AND LOGICAL ABILITY
61. ABCD is a quadrilateral. The diagonals of ABCD intersect at the point P. The area of the triangles APD and BPC are 27 and 12, respectively. If the areas of the triangles APB and CPD are equal then the area of triangle APB is
62. Two circles of radius 1 cm. touch at point P. A third circle is drawn through the points A, B, and C such that PA is the diameter of the first circle, and BC –perpendicular to AP – is the diameter of the second circle. The radius of the third circle is __ cms.
In the questions 63-64, one statement is followed by three conclusions. Select the appropriate answer from the options given below.
A. Using the given statement, only conclusion I can be derived.
B. Using the given statement, only conclusion II can be derived.
C. Using the given statement, only conclusion III can be derived.
D. Using the given statement, conclusions I, II and III can be derived.
E. Using the given statement, none of the three conclusions I, II and III can be derived.
63. A0, A1, A2 ,..…… is a sequence of numbers with A0= 1, A1 =3, and At = (t +1)At-1 –t At - 2 for t = 2, 3, 4,…
Conclusion I. A8 =77
Conclusion II. A10 = 121
Conclusion III. A12 = 145.
64. A, B, C be real numbers satisfying A < B < C, A + B + C = 6 and AB + BC + CA = 9
Conclusion I. 1 < B < 3
Conclusion II. 2 < A < 3
Conclusion III. 0<C<1
Question Nos. 65-66 are followed by two statements labelled as I and II. You have to decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from options given below:
A. If Statement I alone is sufficient to answer the question.
B. If Statement II alone is sufficient to answer the question.
C. If Statement I and Statement II together are sufficient but neither of the two alone is sufficient to answer the question.
D. If either Statement I or Statement II alone is sufficient to answer the question
E. Both Statement I and Statement II are insufficient to answer the question.
65. The base of a triangle is 60 cms, and one of the base angles is 60°. What is length of the shortest side of the triangle?
I. The sum of lengths of other two sides is 80 cms.
II. The other base angle is 45°.
66. A, B, C, D, E and F are six integers such that E < F, B > A, A < D < B. C is the greatest integer. Is A the smallest integer?
67. The coordinates of P and Q are (0, 4) and (a, 6), respectively. R is the midpoint of PQ. The perpendicular bisector of PQ cuts X-axis at point S (b, 0). For how many integer value(s) of “a”, b is an integer?
Questions 68-69; In second year, students at a business school can opt for Systems,
Operations, or HR electives only. The number of girls opting for Operations and the number of boys opting for Systems electives is 37. Twenty-two students opt for operations electives. Twenty girls opt for Systems and Operations electives. The number of students opting for Systems electives and the number of boys opting for Operations electives is 37. Twenty-five students opt
for HR electives.
68. The number of students in the second year is_?
69. If 20% of the girls opt for HR electives, then the total number of boys in the second year is _?
Answer the question nos. 70 to 74 on the basis of the data given below:
Area/Month January February March
Sale in Bistupur Television 900 1050 1200, Ipods 15750 16800 17850
Sales in Sakchi Television 1800 2100 2400, Ipods 9450 10080 10710
Sales in Kadma Television 6300 7350 8400, Ipods 6300 6720 7140
Units ordered=Units Sold + Ending Inventory – Beginning Inventory
All sales figures are in Rupees thousand. All other things are constant All Rupees figures are in thousands
70. In the period from January to March, Jamshedpur Electronics sold 3150 units of television,having started with a beginning inventory of 2520 units and ending with an inventory of 2880.What was value of order placed (Rupees in thousands) by Jamshepur Electronics during the three month period? [Profits are 25% of cost price, uniformly.
71. What was the total value of surcharge paid – at the rate of 14% of sales value – by Jamshedpur Electronics, over the period of three months?
A. Cannot be calculated
72. 10% of sales price of Ipods and 20% of sales price of television contribute to the profits of Jamshedpur Electronics. How much profit did the company earn in the month of January from Bistupur and Kadma from the two products?
73. In the period from January to March, consider that Jamshedpur Electronics ordered 7560units of Ipods for all three areas put together. What was unit sales price of Ipod during the period? The ending inventory was 6120 units and the beginning inventory stood at 5760.
74. For Jamshedpur Electronics beginning inventory was 720 for televisions and 1800 for Ipods and ending inventory was 840 for televisions and 1920 for Ipods in the month of January. How many units of televisions and Ipods did Jamshedpur Electronics order for the month of January? Additional data: In the month of February, 1050 units of televisions and 2400 units of Ipods were sold in all three areas put together.
Answer question nos. 75 to 77 on the basis of the graph given below:
75. In which month did the company earn maximum profits?
76. In which month did the company witness maximum sales growth?
77. What were average sales and costs figures for XYZ Co. over the period of ten months?
78. Interpret relationship between the returns of Stock X and Mutual Fund Y based on the following graph, where percentage return of Stock X and Mutual Fund Y are given for sixteen days of a month.
A. Returns of stock X are directly proportional to mutual fund Y.
B. Average returns from stock X and mutual fund Y are the same.
C. Stock X is less volatile than mutual fund Y.
D. Stock X is inversely proportional to mutual fund Y.
E. Stock X is more volatile than mutual fund Y
Answer question nos. 79 through 82 on the basis of the data given below.
Gender bias is defined as disproportion in percentage of drop-out rate of the two genders.Drop-Out Rates, in percentage, at Primary, Elementary and Secondary Classes in India Primary (I - V) Classes Elementary (I-VIII) Classes Secondary (I- X) Classes
Year Boys Girls Total Boys Girls Total Boys Girls Total
1996-97 39.7 40.9 40.2 54.3 59.5 56.5 67.3 73.7 70.0
1997-98 37.5 41.5 39.2 53.8 59.3 56.1 66.6 73.0 69.3
1998-99 40.9 41.3 41.5 54.2 59.2 56.3 64.5 69.8 66.7
1999-00 38.7 42.3 40.3 52.0 58.0 54.5 66.6 70.6 68.3
2000-01 39.7 41.9 40.7 50.3 57.7 53.7 66.4 71.5 68.6
2001-02 38.4 39.9 39.0 52.9 56.9 54.6 64.2 68.6 66.0
2002-03 35.8 33.7 34.8 52.3 53.5 52.8 60.7 65.0 62.6
2003-04 33.7 28.6 31.5 51.9 52.9 52.3 61.0 64.9 62.7
2004-05 31.8 25.4 29.0 50.4 51.2 50.8 60.4 63.8 61.9
79. Based on the data above, choose the true statement from the following alternatives:
A. Gender bias in primary education has consistently decreased over the years.
B. Gender bias decreases as students move from primary to secondary classes.
C. Total drop-out rate decreased consistently for primary classes children from 1996-97 to 2004–05
D. Gender bias was consistently highest for secondary classes.
E. None of the above.
80. Assume that girls constituted 55% of the students entering school. In which year, as compared to the previous year, number of boys in secondary education would be more than the number of girls?
81. Suppose, every year 7,000 students entered Class I, out of which 45% were boys. What was the average number (integer value) of girls, who remained in educational system after elementary classes, from 1996-97 to 2004-05?
82. Suppose the total number of students in 1996-97 were 1,000 and the number of students increased every year by 1000, up to 2004-05. The total number of drop-outs from primary classes, from 1996-97 to 2004-05, were (approximately) _?
SECTION C: ANALYTICAL REASONING & DECISION MAKING
Directions (Question No 83-103):
Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question and blacken the corresponding space on your answer sheet.
Question No 83-86: There are exactly ten stores and no other buildings on a straight street in Bistupur Market. On the northern side of the street, from West to East, are stores 1, 3, 5, 7, and 9; on the southern side of the street, also from West to East, are stores 2, 4, 6, 8, and 10. The stores on the northern side are located directly across the street from those on the southern side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colours: green, red and yellow.
The stores have been decorated with lights according to the following conditions:
No store is decorated with lights of the same colour as those of any store adjacent to it. No store is decorated with lights of the same colour as those of the store directly across the street from it. Yellow lights decorate exactly one store on each side of the street. Red lights decorate store 4. Yellow lights decorate store 5.
83. Which one of the following could be an accurate list of the colours of the lights that decorate stores 2, 4, 6, 8 and 10, respectively?
A. green, red, green, red, green
B. green, red, green, yellow, red
C. green, red, yellow, red, green
D. yellow, green, red, green, red
E. yellow, red, green, red, yellow
84. If green lights decorate store 7, then each of the following statements could be false EXCEPT:
A. Green lights decorate store 2
B. Green lights decorate store 10
C. Red lights decorate store 8
D. Red lights decorate store 9
E. Yellow lights decorate store 2
85. Which one of the following statements MUST be true?
A. Green lights decorate store 10
B. Red lights decorate store 1
C. Red lights decorate store 8
D. Yellow lights decorate store 8
E. Yellow lights decorate store 10
86. Suppose that yellow lights decorate exactly two stores on the south side of the street and exactly one store on the north side. If all other conditions remain the same, then which one of the following statements MUST be true?
A. Green lights decorate store 1
B. Red lights decorate store 7
C. Red lights decorate store 10
D. Yellow lights decorate store 2
E. Yellow lights decorate store 8
Question No 87-90:
Professor Mukhopadhay works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities - lecturing, conducting quizzes, evaluating quizzes, and working on consultancy projects. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her work schedule MUST satisfy the following restrictions: She conducts quizzes on exactly three mornings. If she conducts quizzes on Monday, she does not conduct a quiz on Tuesday. She lectures in the afternoon on exactly two consecutive calendar days. She evaluates quizzes on exactly one morning and three afternoons. She works on consultancy project on exactly one morning. On Saturday, she neither lectures nor conducts quizzes.
87. On Wednesdays, the Professor could be scheduled to
A. Work on a consultancy project in the morning and conduct a quiz in the afternoon
B. Lecture in the morning and evaluate quizzes in the afternoon
C. Conduct a quiz in the morning and lecture in the afternoon
D. Conduct a quiz in the morning and work on consultancy project in the afternoon
E. Evaluate quizzes in the morning and evaluate quizzes in the afternoon
88. Which one of the following statements must be true?
A. There is one day on which she evaluates quizzes both in the morning and in the afternoon.
B. She works on consultancy project on one of the days on which she lectures.
C. She works on consultancy project on one of the days on which she evaluates quizzes.
D. She lectures on one of the days on which evaluates quizzes.
E. She lectures on one of the days on which she conducts quiz.
89. If the Professor conducts a quiz on Tuesday, then her schedule for evaluating quizzes couldbe
A. Monday morning, Monday afternoon, Friday morning, Friday afternoon
B. Monday morning, Friday afternoon, Saturday morning, Saturday afternoon
C. Monday afternoon, Wednesday morning Wednesday afternoon, Saturday afternoon
D. Wednesday morning, Wednesday afternoon, Friday afternoon, Saturday afternoon
E. Wednesday afternoon, Friday afternoon, Saturday morning, Saturday afternoon
90. Which one of the following must be a day on which Professor lectures?
Question Nos 91-94:
During a four-week period, each one of seven previously unadvertised products - G, H, J, K, L, M am O - will be advertised. A different pair of these products will be advertised each week Exactly one of the products will be a member of two of these four pairs. None of the other products gets repeated in any pair. Further, the following constraints must be observed: J is not advertised during a given week unless H is advertised during the immediately preceding week. The product that is advertised twice is advertised during week 4 but is not advertised during week 3. G is not advertised during a given week unless either J or O is also advertised that week. K is advertised during one of the first two weeks. O is one of the products advertised during week 3.
91. Which one of the following could be the schedule of the advertisements?
A. Week 1: G, J; week 2: K, L; week 3: O, M; week 4: H, L
B. Week 1: H, K; week 2: J, G; week 3: O, L; week 4: M, K
C. Week 1: H, K; week 2: J, M; week 3: O, L; week 4: G, M
D. Week 1: H, L; week 2: J, M; week 3: O,G; week 4: K, L
E. Week 1: K, M; week 2: H, J; week 3: O, G; week 4: L, M
92. If L is the product that is advertised during two of the weeks, which one of the following is a product that MUST be advertised during one of the weeks in which L is advertised?
93. Which one of the following is a product that could be advertised in any of the four weeks?
94. Which one of the following is a pair of products that could be advertised during the same week?
A. G and H
B. H and J
C. H and O
D. K and O
E. M and O
Question Nos. 95-99:
In a game, “words” (meaningful or meaningless) consist of any combination of at least five letters of the English alphabets. A “sentence” consists of exactly six
words and satisfies the following conditions: The six words are written from left to right on a single line in alphabetical order. The sentence can start with any word, and successive word is formed by applying exactly one of three operations to the preceding word: delete one letter; add a letter; replace one letter with another. At the most three of the six words can begin with the same letter. Except for the first word, each word is formed by a different operation used for the preceding word.
95. Which one of the following could be a sentence in the word game?
A. Bzaeak blaeak laeak paeak paea paean
B. Crobek croeek roeek soeek sxoeek xoeek
C. Doteam goleam golean olean omean omman
D. Feted freted reted seted seteg aseteg
E. Forod forol forols forpls orpls morpls
96. The last letter of the English alphabet that the first word of a sentence in the word game can begin with is
97. If the first word in a sentence is "illicit" and the fourth word is "licit", then the third word can be
98. If “clean” is the first word in a sentence and “learn” is another word in the sentence, then which one of the following is a complete and accurate list of the positions “learn” could occupy?
B. Second, third, fourth
C. Third, fourth
D. Third, fourth, fifth
E. Third, fourth, fifth, sixth
99. If the first word in a sentence consists of five letters, then the maximum number of letters that the fifth word in the sentence could contain is
Question No 100-103:
Six square states having equal area in a country are located in North-South direction in two columns next to each other. States are located in the given order, State 1,State 3, and State 5 are on the western side and State 2, State 4, and State 6 are on the eastern side. Within the six states, there are exactly four medical institutes, two management institutes, and two technical institutes. These eight institutions are located as follows: No institution is in more than one of the states. None of the states contain more than one management institute, and none contains more than one technical institute. None of the states contain both a management institute and a technical institute. Each management institute is located in a state that contains at least one medical institute. The technical institutes are located in two states that do not share a common boundary. State 3 contains a technical institute, and State 6 contains a management institute.
100. Which one of the following could be true?
A. State 1 contains exactly one medical institute
B. State 1 contains exactly one technical institute
C. State 2 contains exactly one management institute
D. State 5 contains exactly one technical institute
E. State 6 contains exactly one technical institute
101. A complete and accurate list of the states, any one of which could contain the management institute that is not in state 6, would be __.
A. 1, 4
B. 2, 4
C. 4, 5
D. 1, 4, 5
E. 1, 2, 4, 5
102. If each of the six states contain at least one of the eight institutions, then which one of the following must be true?
A. There is a management institute in state 1
B. There is a medical institute in state 2
C. There is a medical institute in state 3
D. There is a medical institute in state 4
E. There is a management institute in state 4
103. If one of the states contains exactly two medical institutes and exactly one technical institute, then which combination of three states might contain no medical institute
B. 1, 4, 5
C. 2, 3, 5
D. 2, 4, 6
E. 4, 5, 6
104. What is the minimum number of rearrangements required to arrive at the solution? A rearrangement is defined as an exchange of positions between digits across two sets. For example: when 1 from set C is exchanged with 5 of set E, it is counted as one rearrangement.
Questions 107 -110:
Read the following situations and choose the best possible alternative.
107. You, a recruitment manager, are interviewing Mayank, a hard-working young man, who has problems in speaking fluent English. He has studied in vernacular medium schools and colleges. Amongst the following options, what would you choose to do, if your company has vacancies?
A. I would hire him at all costs.
B. I would hire him for a production or finance job but not for a marketing job, which requires good
C. I would ask him to improve his communication skills and come back again.
D. I would not hire him as he might be a burden on the organisation because of his poor
E. I would hire him for the job he is good at, and provide training in other areas.
108. The city of Nagar has a population of 10 million, 2 million amongst whom were rich, 3 million poor and 5 million belonged to the middle class. Saundarya Cosmetics manufactured and sold beauty product to the rich class at a premium price. Its products were very popular with customers. Many people from middle and poor segments of population aspired to buy these products but could not afford them because of high prices. Of late, sales growth was stagnating in the rich segment. Which of the following is the best option for Saundarya Cosmetics to maximize long-term profits?
A. Sell the same products at lower prices to middle and poor class.
B. Sell its products under different brand names to middle and poor class.
C. Sell similar products, of different quality standards with different brand names, to middle class and poor class.
D. Continue to target rich only and hope that today's middle class would be tomorrow's rich class.
E. Target middle class as it is the largest segment and forget about the rich.
109. Seema was a finance manager in an MNC and felt that gender discrimination at the workplace hampered her career growth. Frustrated, she quit the job and started a company. While starting her company, Seema decided that she would have an equal proportion of males and females. Over the last six years, Seema emerged as a very successful entrepreneur and expanded her business to eight locations in the country. However, Seema recently started facing an ethical dilemma because she realized that female employees were not willing to travel across cities and work late hours, as the work required them to do so. Male employees did not hesitate undertaking such work. Seema started to feel the pressure of reducing the proportion of female employees. On the other hand, she is aware that equal representation was one of the strongest reasons for her to have founded the company. What should she do as a conscientious female entrepreneur?
A. See if unwilling female employees could be given assignments which do not require travel and involve less overtime.
B. Reduce the number of female employees, as it is a business requirement. She should not let anything affect her business.
C. Let the status quo continue.
D. Henceforth hire only male employees
E. She should close the business.
111. Team A is playing its first match with team C. Based on the statistics above, whom should the manager choose so that the team has maximum chances of winning?
A. RD, ST, SG, MD, YS
B. VS, YS, RU, MD, MT
C. RD, ST, SG, VS, MD
D. YS, RU, VS, MK, MD
E. ST, VS, RU, MD, SG
112. Team A would play the second match with D. Based on the statistics above, whom should the manager choose so that A has maximum chances of winning?
A. RD, ST, MD, VS, YS
B. ST, RD, VV, SG, MD
C. RD, ST, SG, VS, MD
D. SG, RU, YS, MK, MD
E. ST, RD, MK, MD, SG
113. Team A would play the third match with B. Based on the statistics above, whom should themanager choose so that A has maximum chances of winning?
A. RD, RU, MK, VS, YS
B. ST, RD, MK, MD, SG
C. RD, VS, MT, RU, YS
D. RD, VV, SG, VS, MD
E. SG, RU, YS, MK, VV
Read the following caselet and choose the best alternative (Questions 114-119):
Mr. Rajiv Singhal, Chairman of the Board of Directors of Loha India Ltd., (a steel manufacturing company) had just been visited by several other directors of the company. The directors were upset with recent actions of the company president, Mr. Ganesh Thakur. They demanded that the board consider firing the president. Mr. Thakur, recently appointed as president, had undertaken to solve some of the managementemployee problems by dealing directly with the individuals, as often as possible. The company did not have a history of strikes or any other form of collective action and was considered to have good work culture. However, Mr. Thakur felt that by dealing directly with individuals, he could portray the management's concern for the employees. An important initiative of Mr. Thakur was to negotiate wages of the supervisors with each supervisor. In these negotiation meetings, he would not involve anyone else, including the Personnel Department which reported to him, so as to take an unbiased decision. After negotiation, a wage contract would be drawn up for each supervisor. This, he felt, would recognize and reward the better performers. Mr. Thakur successfully implemented the process for most of the supervisors, except those working in night shifts. For them he had drawn up the contracts unilaterally benchmarking the wages of supervisors of the night shift with that of supervisors of the day shift. For several days Ram Lal, a night shift supervisor, had been trying to seek an appointment with Mr. Thakur about his wages. He was disgruntled, not only over his failure to see the president, but also over the lack of discussions about his wage contract prior to its being effected. As a family man with six dependents, he felt his weekly wage should be higher than that granted to him. Last Thursday afternoon Ram Lal stopped by the president's office and tried to see him. Mr. Thakur's secretary refused his request on the grounds that Mr. Thakur was busy. Infuriated, Ram Lal stormed into the president's office and confronted the startled Mr. Thakur, with his demands for a better wage. Mr. Thakur stood up and told Ram Lal to get out of his office and express his grievance through the official channel. Ram Lal took a swing at the president, who in turn punched Ram Lal on the jaw and knocked him unconscious.
114. The most likely premise behind Mr. Thakur's initiative regarding individualised meetings with the supervisors seems to be
A. Involvement of the company's president in wage problems of employees will lead to a better goodwill towards the management among the workers.
B. Employee-related policies should allow scope for bargaining by employees which lead to unsatisfied employees.
C. Individual agreements with supervisors would allow the management to prevent any possible collective action by the supervisors.
D. Management will be able to force supervisors to accept lesser wages individually in this way.
E. He would be able to know who the trouble makers in the plant are by interacting with the supervisors
115. Out of the following, which one seems to be the most likely cause of Ram Lal’s grievance?
A. His disappointment with the management's philosophy of having one to one interaction as the supervisors were in a way being forced to accept the wage contracts.
B. His being in the night shift had worked to his disadvantage as he could not interact with the management regarding his problem.
C. He was not allowed to meet the chairman of the board of directors of the company.
D. Employment in the night shift forced him to stay away from his family during the day time andtherefore he could not interact with his family members much.
E. All of these.
116. Apart from the supervisors working the night shift, executives of which department will have the most justified reasons to be to disgruntled with Mr. Thakur's initiative?
A. Production department – for not being consulted regarding the behaviour of the supervisors on the shop floor.
B. Finance department – for not being taken into confidence regarding the financial consequences of the wage contracts.
C. Marketing department – for not being consulted on the likely impact of the wage contracts on the image of the company.
D. Quality control – for not being able to give inputs to Mr. Thakur on how to improve the quality of steel making process.
E. Personnel department – for it was their work to oversee wage policies for employees and they had been ignored by Mr. Thakur.
117. Which of the following managerial attributes does Mr. Thakur seem to lack the most?
A. Emotional instability under pressure
B. Proactive problem solving
C. Ethical behaviour
D. Independent decision making
E. Emotional stability under pressure
118. The most important causal factor for this entire episode could be:
A. Trying to follow a divide-and-rule policy in his dealings with the supervisors.
B. Paternalistic approach towards mature individuals in the organisation.
C. Legalistic approach to employee problems.
D. Inconsistent dealings of Mr. Thakur with supervisors.
E. Inadequate standards for measurement of supervisors' on-job performances.
119. The situation with Mr. Lal could have been avoided if Mr. Thakur had
A. Delegated the task of negotiation of wage contracts for night shift employees to the Personnel department.
B. Created a process for supervisors working the night shift so that they could have opportunity to interact with him.
C. Created an open-door policy that would have allowed employees to see him without any appointment.
D. Postponed the decision of wage revision for supervisors in the night shift for two months, since supervisors were rotated on different shifts after every two months. the option that best arranges the above managerial interventions in decreasing order of organisational impact is:
A. 4, 2, 3, 1
B. 4, 3, 2, 1
C. 4, 3, 1, 2
D. 4, 1, 2, 3
E. 2, 3, 1, 4
Read the following situation and choose the best possible alternative.
120. The surnames of four professionals are: Bannerji, Chatterji, Mukherji and Pestonji. Their professions are accountant, lawyer, dentist and doctor (not necessarily in this order). The accountant and lawyer work in their offices, while the dentist and doctor work in their nursing homes. The accountant looks after Mukherji's and Chatterji's account. Chatterji does not know Bannerji, although his nursing home is on the same street as Bannerji's office. Chatterji is not a
doctor. What are the occupations of the four people?
A. Bannerji - Doctor, Chatterji - Dentist, Mukherji - Accountant and Pestonji - Lawyer
B. Bannerji - Lawyer, Chatterji - Dentist, Mukherji - Accountant and Pestonji - Doctor
C. Bannerji - Doctor, Chatterji - Accountant, Mukherji - Dentist and Pestonji - Lawyer
D. Bannerji - Lawyer, Chatterji - Dentist, Mukherji - Doctor and Pestonji - Accountant
E. Bannerji - Dentist, Chatterji - Lawyer, Mukherji - Doctor and Pestonji – Accountant