www. h i t b u l l s e y e . c om 1 Bulls Eye SAMPLE PAPER f Bulls eye Mock CAT Sample Paper Read the following instructions carefully 1. This is only a sample paper to give you an idea about the Bulls eye Mock CAT. All the questions are merely representative of what you may encounter in the actual test. You may or 2. may not find all types of questions given here, represented in the actual test. 3. In the Actual Test, there will be three sections, comprising 75 questions in all. You will be given 150 minutes to solve the entire test. 4. Your proficiency will be judged across all the three sections, so divide your time judiciously among the three areas. 5. Write you name, address and other details completely in the info sheet provided at the time of the test. 6. Do your rough work on the question paper itself. 7. On the Answer Sheet, darken the oval corresponding to the best alternative for a question with a pencil. If you wish to make any change, ensure that the earlier answer is fully erased. Use HB pencils only. 8. Every correct answer will carry four marks each. Each incorrect answer will carry a negative marking of 1 mark each. 9. Calculators and scales are not allowed. 10. Please carry any photo identity proof to the test venue (College ID/License). Failure to do so may disentitle you for being considered for the scholarship offer. H.O.: Pune : Vishwanath Apartments, Off BMCC Road. Ph: 020-25678999 R.O. & Study Centre: Chandigarh – I : SCO 269, Sec 44 – C. Ph: 466 6667 Chandigarh − II : SCO 90, Sec 8-C, Madhya Marg, Top Floor. Ph: 4611111, 5089389 Study Centres: Ambala : Near Chaddha Palace, Jagadhari Gate, Ambala City. Ph: 2444242 Panchkula : SCO 1, Sector 11, Ph: 4655465 Patiala : SCO 108, Chhoti Baradari. Ph: 0175-5062699 Shimla : Near HP State Co-op Bank, Chhota Shimla. Ph: 0177-2622329 Yamuna Nagar : Thapar House, Near Mahindra Petrol Pump, Jagadhari Road. Ph: 235555 Ludhiana : SCO 20, Block-A, Model Town Extension, Ludhiana. SAMPLE PAPER 2 Bulls Eye www. h i t b u l l s e y e . c om SECTION -I DIRECTIONS for questions 1 to 10: Answer each of the following questions to the best of your ability. 1. The length, breadth and height of a room are in the ratio 3:2:1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will 1. remain the same 2. decrease by 13.64% 3. decrease by 30% 4. decrease by 18.75% 2. A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be: 1. 32π 2. 50π` 3. 40.5π 4. 81π 3. If x = (163 + 173 + 183 + 193 ), then x when divided by 70 leaves a remainder of 1. 0 2. 1 3. 69 4. 35 4. Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq. cm of the portion that is common to the two circles is 1. 4π 2. 12−π 3. 5π 4. 12− 5. Uncle Bert was making porridge in a cylindrical pan of diameter 24cm. The spoon he was using is 26 cm long. It accidentally falls and sinks into the porridge. Calculate the minimum volume of porridge necessary to hide the spoon. You may ignore the volume of the spoon. 1. 5523.9cm3 2. 6525.9cm3 3. 4225.9cm3 4. 4525.9cm3 6. The digits of a three digit number A are written in the reverse order to form another three digit number B. If B > A and B – A is perfectly divisible by 7, then which of the following is necessarily true? 1. 100 < A < 299 2. 106 < A < 305 3. 112 < A < 311 4. 118 < A < 317 7. If a1 = 1 and an+1 – 3an + 2 = 4n for positive integer n, then a100 equals 1. 399 -200 2. 399 3. 3 + 200 100 – 200 4. 3100 + 200 8. The rightmost non – zero digit of the number 302720 is 1. 5 2. 3 3. 7 4. 1 9. The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52 cm, the length of the smallest side is 1. 9 cm 2. 10 cm 3. 12 cm 4. 11 cm 10. For a positive integer n, let pn denote the product of the digits of n, and sn denote the sum of the digits of n. The number of integers between 10 and 1000 for which pn + sn = n is 1. 81 2. 16 3. 18 4. 9 www. h i t b u l l s e y e . c om 3 Bulls Eye SAMPLE PAPER SECTION -II DIRECTIONS for questions 11 to 14: Answer these questions on the basis of the information given below. The following table gives details regarding the total earnings of 15 employees and the number of days they have worked on complex, medium and simple operation in the month of June 2002. Even though the employees might have worked on an operation, they would be eligible for earnings only if they have minimum level of efficiency. Total Earnings Total Days Emp. No Complex Medium Simple Total Complex Medium Simple Total 2001147 82.98 636.53 719.51 3.00 0.00 23.00 26.00 2001148 51.53 461.73 513.26 3.33 1.67 16.00 21.00 2001149 171.17 79.10 250.81 5.50 4.00 8.50 18.00 2001150 100.47 497.47 597.95 6.00 4.67 7.33 18.00 2001151 594.43 159.64 754.06 9.67 13.33 0.00 23.00 2001156 89.70 89.70 8.00 0.00 1.00 9.00 2001158 472.31 109.73 582.04 1.39 9.61 0.00 11.00 2001164 402.25 735.22 213.67 1351.14 5.27 12.07 0.67 18.00 2001170 576.57 576.57 21.00 0.00 0.00 21.00 2001171 286.48 6.10 292.57 8.38 4.25 0.38 13.00 2001172 512.10 117.46 629.56 10.00 8.50 0.350.50 22.00 2001173 1303.88 1303.88 25.50 0.00 0.00 26.00 2001174 1017.94 1017.94 26.00 0.00 0.00 26.00 2001179 46.56 776.19 822.75 2.00 19.00 0.00 21.00 2001180 116.40 1262.79 1379.19 5.00 19.00 0.00 24.00 11. The number of employees who have earned more than 50 rupees per day in complex operations is 1. 4 2. 3 3. 5 4. 6 12. The number of employees who have earned more than 600 rupees and having more than 80% attendance(there are 25 regular working days in June 2002; some might be coming on overtime too) is 1. 4 2. 6 3. 5 4. 7 13. The employee number of the person who has earned the maximum earnings per day in medium operation is 1. 2001173 2. 2001164 3. 2001172 4. 2001180 14. Among the employees who were engaged in complex and medium operations, the number of employees whose average earning per day in complex operations is more than average earning per day in medium operations is 1. 2 2. 3 3. 5 4. 4 SAMPLE PAPER 4 Bulls Eye www. h i t b u l l s e y e . c om DIRECTIONS for questions 15 to17: Answer these questions on the basis of the information given below. The table below reports annual statistics related to rice production in select states of India for a particular year. State Total Area (in million hectares) % of Area Under Rice Cultivation Production (in million tons) Population (in millions) Himachal Pradesh 6 20 1.2 6 Kerala 4 60 4.8 32 Rajasthan 34 20 6.8 56 Bihar 10 60 12 83 Karnataka 19 50 19 53 Haryana 4 80 19.2 21 West Bengal 9 80 21.6 80 Gujarat 20 60 24 51 Punjab 5 80 24 24 Madhya Pradesh 31 40 24.8 60 Tamil Nadu 13 70 27.3 62 Maharashtra 31 50 48 97 Uttar Pradesh 24 70 67.2 166 Andhra Pradesh 28 80 112 76 15. Which two states account for the highest productivity of rice (tons produced per hectare of rice cultivation)? 1. Haryana and Punjab 2. Punjab and Andhra Pradesh 3. Andhra Pradesh and Haryana 4. Uttar Pradesh and Haryana 16. How many states have a per capita production of rice (defined as total rice production divided by its population) greater than Gujarat? 1. 3 2. 4 3. 5 4. 6 17. An intensive rice producing state is defined as one whose annual rice production per million of population is at least 400,000 tons. How many states are intensive rice producing states? 1. 5 2. 6 3. 7 4. 8 www. h i t b u l l s e y e . c om 5 Bulls Eye SAMPLE PAPER DIRECTIONS for questions 18 to 20: Answer these questions on the basis of the information given below. The Dean’s office recently scanned students’ results into the central computer system. When their character reading software cannot read something, it leaves that space blank. The scanner output reads as follows: Name Finance Marketing Statistics Strategy Operations GPA Aparna B F 1.4 Bikas D D F F Chandra D A F F 2.4 Deepak A B D D 3.2 Fazal D F B D 2.4 Gowri C C A B 3.8 Hari B A D 2.8 Ismet B A Jagdeep A A B C 3.8 Kunal F A F F 1.8 Leena B A B F 3.2 Manab A B B Nisha A D B A F 3.6 Osman C B B A 4.6 Preeti F D D 3.2 Rahul A C A F 4.2 Sameer C F B Tara B 2.4 Utkarsh F C A 3.0 Vipul A C C F 2.4 In the grading system, A, B, C, D, and F grades fetch 6, 4, 3, 2, and 0 grade respectively. The Grade Point Average (GPA) is the arithmetic mean of the grade points obtained in the five subjects. For example Nisha’s GPA is (6 + 2 + 4 + 6 + 0)/5 = 3.6. Some additional facts are also known about the student’s grades. These are (a) Vipul obtained the same grade in Marketing as Aparna obtained in Finance and Strategy. (b) Fazal obtained the same grade in Strategy as Utkarsh did in Marketing. (c) Tara received the same grade in exactly three courses. 18. What grade did Preeti obtain in Statistics? 1. A 2. B 3. C 4. D 19. What grade did Utkarsh obtain in Finance? 1. A 2. B 3. C 4. D 20. In Strategy, Gowri’s grade point was higher than that obtained by 1. Fazal 2. Hari 3. Nisha 4. Rahul SAMPLE PAPER 6 Bulls Eye www. h i t b u l l s e y e . c om SECTION -III DIRECTIONS for questions 21 to 24: The passage given below is followed by a set of questions each. Choose the most appropriate answer to each question on the basis of what is written/or implied therein. Telepathy, or the supposed communication between two minds by extrasensory means, has long been held in healthy contempt by mainstream scientists. Ironically though, these same people are now conducting a revolutionary experiment in London which, if it succeeds, will sneakily usher in the voodoo phenomenon through the backdoor and make it potentially available off the shelf to anyone in the world. That’s called progress by hindsight. PASSAGE -A It is quite simple what they plan to do actually. Surgeons at Stoke Mandeville Hospital are implanting a computerized electrode in the arm of a British professor and his wife to see if they can communicate with each other using just thought alone. For instance, if the man wants to move his index finger, then the electrode which is connected to his nerve fibres would pick up the nerve signals, convert it to radio waves, and transmit it to an external computer. This computer would then immediately re-transmit it to the implant in his wife’s arm. Meaning when the professor wishes to move his index finger his brain would also be able to move his wife’s index finger. The experiment is being touted as something that may one day lead to a new treatment for paralysis victims but can anyone really be fooled that the good doctors are, in the process, also hooking up two brains? For instance, emotions like excitement and anger, which also stimulate nerve activity, could be as easily transferred from one individual to another independent of speech, body language or any of the other recognized channels of sense. “Gee, that makes me mad,” thinks the professor and “Uh oh,” goes his wife instantly, “he has blown a fuse”. Is this going to lead to a world in the future where everybody’s nervous systems are interconnected or what? In fact, that’s always been one of the philosophical problems with telepathy – we may be able to empathize with a near and dear one instantaneously but what happens to individual privacy when our innermost thoughts are thrown open to the public at large? How do you plan a battle strategy, a hostile company takeover or a defence argument in court? 21. The author’s plan of action consists of 1. Presenting a theory followed by empirical data to support it. 2. Introducing a new idea and supporting it with multiple sources. 3. Defining a phenomenon, talking about a new experiment to verify it and asking some relevant questions. 4. Comparing two rival theories regarding telepathy and deciding which one is a better option 22. The author could have given which of the following titles to this passage? 1. Telepathy: Nothing New About It 2. Telepathy In Modern Science 3. New Research In Telepathy 4. New Psychological Research 23. What has been the scientists’ stand on telepathy so far? 1. They have been indifferent to it 2. They have scoffed at it 3. They have been willing to accept it 4. The passage does not say any thing in his regard. 24. This passage could not have been a part of 1. An old psychology text book 2. A newspaper’s Sunday supplement 3. A current affairs magazine 4. A psychology research journal www. h i t b u l l s e y e . c om 7 Bulls Eye SAMPLE PAPER DIRECTIONS for questions 25 to 26: Each of the following questions has a paragraph from which the last sentence has been deleted. From the given options, chose the one that completes the paragraph in the most appropriate way. 25. Age has a curvilinear relationship with the exploitation of opportunity. Initially, age will increase the likelihood that a person will exploit an entrepreneurial opportunity because people gather much of the knowledge necessary to exploit opportunities over the course of their lives, and because age provides credibility in transmitting that information to others. However, as people become older, their willingness to bear risks declines, their opportunity costs rise, and they become less receptive to new information. _______________________ 1. As a result, people transmit more information rather than experiment with new ideas as they reach an advanced age. 2. As a result, people are reluctant to experiment with new ideas as they reach an advanced age. 3. As a result, only people with lower opportunity costs exploit opportunity when they reach an advanced age. 4. As a result, people become reluctant to exploit entrepreneurial opportunities when they reach an advanced age. 26. Most firms consider expert individuals to be too elitist, temperamental, egoist, and difficult to work with. Force such people to collaborate on a high-stakes project and they might come to blows. Even the very idea of managing such a group seems unthinkable. So most organizations adopt the default option, setting up project teams of people, who get along nicely. _______________________ 1. The result, however, is disastrous. 2. The result is mediocrity. 3. The result is creation of experts who then become elitists. 4. Naturally they drive innovations. DIRECTIONS for questions 27 to 28: Each of the following questions has a paragraph with one italicized word that does not make sense. Choose the most appropriate replacement for that word from the options below the paragraph. 27. Intelligent design derives from an early 19th -century explanation of the natural world given by an English clergyman, William Paley. Paley was the popularizer of the famous watchmaker analogy. Proponents of intelligent design are crupping Paley’s argument with a new gloss from molecular biology. 1. destroying 2. testing 3. resurrecting 4. questioning 28. It is klang to a sensitive traveller who walks through this great town, when he sees the streets, the roads, and cabin doors crowded with beggars, mostly women, followed by three, four, or six children, all in rags and troubling every passenger for alms. 1. amusing 2. irritating 3. disgusting 4. distressing SAMPLE PAPER 8 Bulls Eye www. h i t b u l l s e y e . c om DIRECTIONS for questions 29 to 30: Each of the following questions consists of a sentence, with some parts of it underlined, which could be erroneous. From among the choices given, you have to select an answer that is the best possible replacement for the underlined part of the key sentence. While choosing the right answer, please pay particular attention to the syntax, idiom, usage and economy of words being used. 29. A Labor Department study states that the numbers of women employed outside the home grew by more than a thirty-five percent increase in the past decade and accounted for more than sixty-two percent of the total growth in the civilian work force. 1. numbers of women employed outside the home grew by more than a thirty-five percent increase 2. numbers of women employed outside the home grew more than thirty-five percent 3. numbers of women employed outside the home were raised by more than thirty-five percent 4. number of women employed outside the home increased by more than thirty-five percent 30. A new phenomena, which is visible at Managua’s major intersections, are waves of vendors and beggars, which include many children and mob cars at the stoplights. 1. A new phenomena, which is visible at Managua’s major intersections, are waves of vendors and beggars, which include many children and 2. Visible at Managua’s major intersections are waves of vendors and beggars with many children, new phenomena that 3. A new phenomenon visible at Managua’s major intersections is waves of vendors and beggars, many of them children, who 4. Phenomenally new waves of vendors, beggars, and many children are visible at Managua’s major intersections, which Answer Key To Sample Test 1. 3 11. 3 21. 3 2. 2 12. 4 22. 3 3. 1 13. 4 23. 1 4. 2 14. 1 24. 2 5. 4 15. 1 25. 4 6. 2 16. 2 26. 2 7. 3 17. 4 27. 3 8. 4 18. 1 28. 3 9. 3 19. 4 29. 4 10. 4 20. 2 30. 3