Page 1 Page 1 CAT 2002 Actual Paper Directions for questions 1 to 6: Answer the questions independently. Four students â€” Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background. I. The one who is an engineer didnâ€™t get as many admissions as Ashish. II. The one who got offer for admissions in two NIMs isnâ€™t Dhanraj nor is he a chartered accountant. III. Sameer is an economist. IV. Dhanraj isnâ€™t an engineer and received more admission offers than Ashish. V. The doctor got the most number of admission offers. 1. Which one of the following statements is necessarily true? 1. Ashish is a chartered accountant and got offer for admission in three NIMs. 2. Dhanraj is a doctor and got admission offer in one NIM. 3. Sameer is an economist who got admission offers in two NIMs. 4. Felix who is not an engineer did not get any offer for admission. 2. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions. I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with 2 3 of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs.3.50. VIII. Alam spent 10 times more than what Ganesh did. In the choices given below, all statements except one are false. Which one of the following statements can be true? 1. Alam started with Rs. 40 and ended with Rs. 9.50 2. Sandeep started with Rs. 30 and ended with Re. 1 3. Ganesh started with Rs. 20 and ended with Rs. 4 4. Jugraj started with Rs. 10 and ended with Rs. 7 Instructions: 1. The Test Paper contains 150 questions. The duration of the test is 120 minutes. 2. The paper is divided into three sections. Section-I: 50 Q:, Section-II: 50 Q:, Section-III: 50 Q. 3. Wrong answers carry negative marks. There is only one correct answer for each question. Page 2 Page 1 CAT 2002 Actual Paper Directions for questions 1 to 6: Answer the questions independently. Four students â€” Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background. I. The one who is an engineer didnâ€™t get as many admissions as Ashish. II. The one who got offer for admissions in two NIMs isnâ€™t Dhanraj nor is he a chartered accountant. III. Sameer is an economist. IV. Dhanraj isnâ€™t an engineer and received more admission offers than Ashish. V. The doctor got the most number of admission offers. 1. Which one of the following statements is necessarily true? 1. Ashish is a chartered accountant and got offer for admission in three NIMs. 2. Dhanraj is a doctor and got admission offer in one NIM. 3. Sameer is an economist who got admission offers in two NIMs. 4. Felix who is not an engineer did not get any offer for admission. 2. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions. I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with 2 3 of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs.3.50. VIII. Alam spent 10 times more than what Ganesh did. In the choices given below, all statements except one are false. Which one of the following statements can be true? 1. Alam started with Rs. 40 and ended with Rs. 9.50 2. Sandeep started with Rs. 30 and ended with Re. 1 3. Ganesh started with Rs. 20 and ended with Rs. 4 4. Jugraj started with Rs. 10 and ended with Rs. 7 Instructions: 1. The Test Paper contains 150 questions. The duration of the test is 120 minutes. 2. The paper is divided into three sections. Section-I: 50 Q:, Section-II: 50 Q:, Section-III: 50 Q. 3. Wrong answers carry negative marks. There is only one correct answer for each question. Page 2 CAT 2002 Actual Paper 3. In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetices and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastro- enteritis. Some of these patients have all the three diseases. Dr. Dennis treats patients with only gastro-enteritis. Dr. Paul is a generalist. Therefore, he can treat patients with multiple diseases. Patients always prefer a specialist for their disease. If Dr. Dennis had 80 patients, then the other three doctors can be arranged in terms of the number of patients treated as: 1. Paul > Gerard > Hormis 2. Paul > Hormis > Gerard 3. Gerard > Paul > Hormis 4. None of these 4. Three children won the prizes in the Bournvita Quiz contest. They are from the schools: Loyola, Convent and Little Flowers, which are located at different cities. Below are some of the facts about the schools, the children and the city they are from. I. One of the children is Bipin. II. Loyola Schoolâ€™s contestant did not come first. III. Little Flowerâ€™s contestant was named Riaz. IV. Convent School is not in Hyderabad. V. The contestant from Pune is not from Loyola School. VI. The contestant from Bangalore did not come first. VII. Convent Schoolâ€™s contestantâ€™s name is not Balbir. Which of the following statements is true? 1. 1st prize: Riaz (Little Flowers), 2nd prize: Bipin (Convent), 3rd prize: Balbir (Loyola) 2. 1st prize: Bipin (Convent), 2nd prize: Riaz (Little Flowers), 3rd prize: Balbir (Loyola) 3. 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent) 4. 1st prize: Bipin (Convent), 2nd prize: Balbir (Loyola), 3rd prize: Riaz (Litttle Flowers) 5. Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of mother of the younger boy. The mother of the younger boy is younger to his father by 3 years. Then, what is the age of the younger boy? 1. 3 2. 4 3. 2 4. None of these 6. Flights A and B are scheduled from an airport within the next one hour. All the booked passengers of the two flights are waiting in the boarding hall after check-in. The hall has a seating capacity of 200, out of which 10% remained vacant. 40% of the waiting passengers are ladies. When boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-third of the passengers who waited in the waiting hall for both the flights put together. Half the passengers who boarded flight A are women. After boarding for flight A, 60% of the waiting hall seats became empty. For every twenty of those who are still waiting in the hall for flight B, there is one air hostess in flight A. What is the ratio of empty seats in flight B to the number of air hostesses in flight A? 1. 10 : 1 2. 5 : 1 3. 20 : 1 4. 1 : 1 Page 3 Page 1 CAT 2002 Actual Paper Directions for questions 1 to 6: Answer the questions independently. Four students â€” Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background. I. The one who is an engineer didnâ€™t get as many admissions as Ashish. II. The one who got offer for admissions in two NIMs isnâ€™t Dhanraj nor is he a chartered accountant. III. Sameer is an economist. IV. Dhanraj isnâ€™t an engineer and received more admission offers than Ashish. V. The doctor got the most number of admission offers. 1. Which one of the following statements is necessarily true? 1. Ashish is a chartered accountant and got offer for admission in three NIMs. 2. Dhanraj is a doctor and got admission offer in one NIM. 3. Sameer is an economist who got admission offers in two NIMs. 4. Felix who is not an engineer did not get any offer for admission. 2. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions. I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with 2 3 of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs.3.50. VIII. Alam spent 10 times more than what Ganesh did. In the choices given below, all statements except one are false. Which one of the following statements can be true? 1. Alam started with Rs. 40 and ended with Rs. 9.50 2. Sandeep started with Rs. 30 and ended with Re. 1 3. Ganesh started with Rs. 20 and ended with Rs. 4 4. Jugraj started with Rs. 10 and ended with Rs. 7 Instructions: 1. The Test Paper contains 150 questions. The duration of the test is 120 minutes. 2. The paper is divided into three sections. Section-I: 50 Q:, Section-II: 50 Q:, Section-III: 50 Q. 3. Wrong answers carry negative marks. There is only one correct answer for each question. Page 2 CAT 2002 Actual Paper 3. In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetices and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastro- enteritis. Some of these patients have all the three diseases. Dr. Dennis treats patients with only gastro-enteritis. Dr. Paul is a generalist. Therefore, he can treat patients with multiple diseases. Patients always prefer a specialist for their disease. If Dr. Dennis had 80 patients, then the other three doctors can be arranged in terms of the number of patients treated as: 1. Paul > Gerard > Hormis 2. Paul > Hormis > Gerard 3. Gerard > Paul > Hormis 4. None of these 4. Three children won the prizes in the Bournvita Quiz contest. They are from the schools: Loyola, Convent and Little Flowers, which are located at different cities. Below are some of the facts about the schools, the children and the city they are from. I. One of the children is Bipin. II. Loyola Schoolâ€™s contestant did not come first. III. Little Flowerâ€™s contestant was named Riaz. IV. Convent School is not in Hyderabad. V. The contestant from Pune is not from Loyola School. VI. The contestant from Bangalore did not come first. VII. Convent Schoolâ€™s contestantâ€™s name is not Balbir. Which of the following statements is true? 1. 1st prize: Riaz (Little Flowers), 2nd prize: Bipin (Convent), 3rd prize: Balbir (Loyola) 2. 1st prize: Bipin (Convent), 2nd prize: Riaz (Little Flowers), 3rd prize: Balbir (Loyola) 3. 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent) 4. 1st prize: Bipin (Convent), 2nd prize: Balbir (Loyola), 3rd prize: Riaz (Litttle Flowers) 5. Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of mother of the younger boy. The mother of the younger boy is younger to his father by 3 years. Then, what is the age of the younger boy? 1. 3 2. 4 3. 2 4. None of these 6. Flights A and B are scheduled from an airport within the next one hour. All the booked passengers of the two flights are waiting in the boarding hall after check-in. The hall has a seating capacity of 200, out of which 10% remained vacant. 40% of the waiting passengers are ladies. When boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-third of the passengers who waited in the waiting hall for both the flights put together. Half the passengers who boarded flight A are women. After boarding for flight A, 60% of the waiting hall seats became empty. For every twenty of those who are still waiting in the hall for flight B, there is one air hostess in flight A. What is the ratio of empty seats in flight B to the number of air hostesses in flight A? 1. 10 : 1 2. 5 : 1 3. 20 : 1 4. 1 : 1 Page 3 CAT 2002 Actual Paper Directions for questions 7 to 10: Answer the questions based on the information given below. A country has the following types of traffic signals. 3 red lights = stop 2 red lights = turn left 1 red light = turn right 3 green lights = go at 100 km/hr speed 2 green lights = go at 40 km/hr speed 1 green light = go at 20 km/hr speed A motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal). Starting point - 1 green light After half an hour, 1st signal - 2 red and 2 green lights After 15 min, 2nd signal - 1 red light After half an hour, 3rd signal - 1 red and 3 green lights After 24 min, 4th signal - 2 red and 2 green lights After 15 min, 5th signal - 3 red lights 7. The total distance travelled by the motorist from the starting point till the last signal is 1. 90 km 2. 100 km 3. 120 km 4. None of these 8. What is the position (radial distance) of the most motorist when he reaches the last signal? 1. 45 km directly north of the starting point 2. 30 km directly to the east of the starting point 3. 50 km away to the north-east of the starting point 4. 45 km away to the north-west of the starting point 9. After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist? 1. 30 km to the west and 20 km to the south 2. 30 km to the west and 40 km to the north 3. 50 km to the east and 40 km to the north 4. Directly 30 km to the east 10. If at the starting point, the car was heading towards south, what would be the final position of the motorist? 1. 30 km to the east and 40 km to the south 2. 50 km to the east and 40 km to the south 3. 30 km to the west and 40 km to the south 4. 50 km to the west and 20 km to the north Page 4 Page 1 CAT 2002 Actual Paper Directions for questions 1 to 6: Answer the questions independently. Four students â€” Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background. I. The one who is an engineer didnâ€™t get as many admissions as Ashish. II. The one who got offer for admissions in two NIMs isnâ€™t Dhanraj nor is he a chartered accountant. III. Sameer is an economist. IV. Dhanraj isnâ€™t an engineer and received more admission offers than Ashish. V. The doctor got the most number of admission offers. 1. Which one of the following statements is necessarily true? 1. Ashish is a chartered accountant and got offer for admission in three NIMs. 2. Dhanraj is a doctor and got admission offer in one NIM. 3. Sameer is an economist who got admission offers in two NIMs. 4. Felix who is not an engineer did not get any offer for admission. 2. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions. I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with 2 3 of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs.3.50. VIII. Alam spent 10 times more than what Ganesh did. In the choices given below, all statements except one are false. Which one of the following statements can be true? 1. Alam started with Rs. 40 and ended with Rs. 9.50 2. Sandeep started with Rs. 30 and ended with Re. 1 3. Ganesh started with Rs. 20 and ended with Rs. 4 4. Jugraj started with Rs. 10 and ended with Rs. 7 Instructions: 1. The Test Paper contains 150 questions. The duration of the test is 120 minutes. 2. The paper is divided into three sections. Section-I: 50 Q:, Section-II: 50 Q:, Section-III: 50 Q. 3. Wrong answers carry negative marks. There is only one correct answer for each question. Page 2 CAT 2002 Actual Paper 3. In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetices and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastro- enteritis. Some of these patients have all the three diseases. Dr. Dennis treats patients with only gastro-enteritis. Dr. Paul is a generalist. Therefore, he can treat patients with multiple diseases. Patients always prefer a specialist for their disease. If Dr. Dennis had 80 patients, then the other three doctors can be arranged in terms of the number of patients treated as: 1. Paul > Gerard > Hormis 2. Paul > Hormis > Gerard 3. Gerard > Paul > Hormis 4. None of these 4. Three children won the prizes in the Bournvita Quiz contest. They are from the schools: Loyola, Convent and Little Flowers, which are located at different cities. Below are some of the facts about the schools, the children and the city they are from. I. One of the children is Bipin. II. Loyola Schoolâ€™s contestant did not come first. III. Little Flowerâ€™s contestant was named Riaz. IV. Convent School is not in Hyderabad. V. The contestant from Pune is not from Loyola School. VI. The contestant from Bangalore did not come first. VII. Convent Schoolâ€™s contestantâ€™s name is not Balbir. Which of the following statements is true? 1. 1st prize: Riaz (Little Flowers), 2nd prize: Bipin (Convent), 3rd prize: Balbir (Loyola) 2. 1st prize: Bipin (Convent), 2nd prize: Riaz (Little Flowers), 3rd prize: Balbir (Loyola) 3. 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent) 4. 1st prize: Bipin (Convent), 2nd prize: Balbir (Loyola), 3rd prize: Riaz (Litttle Flowers) 5. Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of mother of the younger boy. The mother of the younger boy is younger to his father by 3 years. Then, what is the age of the younger boy? 1. 3 2. 4 3. 2 4. None of these 6. Flights A and B are scheduled from an airport within the next one hour. All the booked passengers of the two flights are waiting in the boarding hall after check-in. The hall has a seating capacity of 200, out of which 10% remained vacant. 40% of the waiting passengers are ladies. When boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-third of the passengers who waited in the waiting hall for both the flights put together. Half the passengers who boarded flight A are women. After boarding for flight A, 60% of the waiting hall seats became empty. For every twenty of those who are still waiting in the hall for flight B, there is one air hostess in flight A. What is the ratio of empty seats in flight B to the number of air hostesses in flight A? 1. 10 : 1 2. 5 : 1 3. 20 : 1 4. 1 : 1 Page 3 CAT 2002 Actual Paper Directions for questions 7 to 10: Answer the questions based on the information given below. A country has the following types of traffic signals. 3 red lights = stop 2 red lights = turn left 1 red light = turn right 3 green lights = go at 100 km/hr speed 2 green lights = go at 40 km/hr speed 1 green light = go at 20 km/hr speed A motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal). Starting point - 1 green light After half an hour, 1st signal - 2 red and 2 green lights After 15 min, 2nd signal - 1 red light After half an hour, 3rd signal - 1 red and 3 green lights After 24 min, 4th signal - 2 red and 2 green lights After 15 min, 5th signal - 3 red lights 7. The total distance travelled by the motorist from the starting point till the last signal is 1. 90 km 2. 100 km 3. 120 km 4. None of these 8. What is the position (radial distance) of the most motorist when he reaches the last signal? 1. 45 km directly north of the starting point 2. 30 km directly to the east of the starting point 3. 50 km away to the north-east of the starting point 4. 45 km away to the north-west of the starting point 9. After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist? 1. 30 km to the west and 20 km to the south 2. 30 km to the west and 40 km to the north 3. 50 km to the east and 40 km to the north 4. Directly 30 km to the east 10. If at the starting point, the car was heading towards south, what would be the final position of the motorist? 1. 30 km to the east and 40 km to the south 2. 50 km to the east and 40 km to the south 3. 30 km to the west and 40 km to the south 4. 50 km to the west and 20 km to the north Page 4 CAT 2002 Actual Paper Directions for questions 11 to 13: Answer these questions based on the table given below. The following table provides data on the different countries and location of their capitals. (the data may not match the actual Latitude, Longitudes) Answer the following questions on the basis of this table. S.No. Country Capital Latitude Longitude 1 Argentina Buenos Aires 34.30 S 58.20 E 2 Australia Canberra 35.15 S 149.08 E 3 Austria Vienna 48.12 N 16.22 E 4 Bulgaria Sofia 42.45 N 23.20 E 5 Brazil Brasilia 15.47 S 47.55 E 6 Canada Ottawa 45.27 N 75.42 E 7 Cambodia Phnom Penh 11.33 N 104.55 E 8 Equador Quito 0.15 S 78.35 E 9 Ghana Accra 5.35 N 0.60 E 10 Iran Teheran 35.44 N 51.30 E 11 Ireland Dublin 53.20 N 6.18 E 12 Libya Tripoli 32.49 N 13.07 E 13 Malaysia Kuala Lumpur 3.90 N 101.41 E 14 Peru Lima 12.05 S 77.0 E 15 Poland Warsaw 52.13 N 21.0 E 16 New Zealand Wellington 41.17 S 174.47 E 17 Saudi Arabia Riyadh 24.41 N 46.42 E 18 Spain Madrid 40.25 N 3.45 W 19 Sri Lanka Colombo 6.56 N 79.58 E 20 Zambia Lusaka 15.28 S 28.16 E 11. What percentage of cities located within 10 E ° and 40 E ° (20° East and 40° East) lie in the Southern Hemisphere? 1. 15% 2. 20% 3. 25% 4. 30% 12. The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table 1. exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 1. 2. exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 2. 3. is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 1. 4. is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 3. 13. The ratio of the number of countries whose name starts with vowels and located in the southern hemisphere, to the number of countries, the name of whose capital cities starts with a vowel in the table above is 1. 3 : 2 2. 3 : 3 3. 3 : 1 4. 4 : 3 Page 5 Page 1 CAT 2002 Actual Paper Directions for questions 1 to 6: Answer the questions independently. Four students â€” Ashish, Dhanraj, Felix and Sameer sat for the Common Entrance Exam for Management (CEEM). One student got admission offers from three NIMs (National Institutes of Management), another from two NIMs, the third from one NIM, while the fourth got none. Below are some of the facts about who got admission offers from how many NIMs and what is their educational background. I. The one who is an engineer didnâ€™t get as many admissions as Ashish. II. The one who got offer for admissions in two NIMs isnâ€™t Dhanraj nor is he a chartered accountant. III. Sameer is an economist. IV. Dhanraj isnâ€™t an engineer and received more admission offers than Ashish. V. The doctor got the most number of admission offers. 1. Which one of the following statements is necessarily true? 1. Ashish is a chartered accountant and got offer for admission in three NIMs. 2. Dhanraj is a doctor and got admission offer in one NIM. 3. Sameer is an economist who got admission offers in two NIMs. 4. Felix who is not an engineer did not get any offer for admission. 2. Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions. I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with 2 3 of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs.3.50. VIII. Alam spent 10 times more than what Ganesh did. In the choices given below, all statements except one are false. Which one of the following statements can be true? 1. Alam started with Rs. 40 and ended with Rs. 9.50 2. Sandeep started with Rs. 30 and ended with Re. 1 3. Ganesh started with Rs. 20 and ended with Rs. 4 4. Jugraj started with Rs. 10 and ended with Rs. 7 Instructions: 1. The Test Paper contains 150 questions. The duration of the test is 120 minutes. 2. The paper is divided into three sections. Section-I: 50 Q:, Section-II: 50 Q:, Section-III: 50 Q. 3. Wrong answers carry negative marks. There is only one correct answer for each question. Page 2 CAT 2002 Actual Paper 3. In a hospital there were 200 diabetes, 150 hyperglycaemia and 150 gastro-enteritis patients. Of these, 80 patients were treated for both diabetices and hyperglycaemia. Sixty patients were treated for gastro-enteritis and hyperglycaemia, while 70 were treated for diabetes and gastro- enteritis. Some of these patients have all the three diseases. Dr. Dennis treats patients with only gastro-enteritis. Dr. Paul is a generalist. Therefore, he can treat patients with multiple diseases. Patients always prefer a specialist for their disease. If Dr. Dennis had 80 patients, then the other three doctors can be arranged in terms of the number of patients treated as: 1. Paul > Gerard > Hormis 2. Paul > Hormis > Gerard 3. Gerard > Paul > Hormis 4. None of these 4. Three children won the prizes in the Bournvita Quiz contest. They are from the schools: Loyola, Convent and Little Flowers, which are located at different cities. Below are some of the facts about the schools, the children and the city they are from. I. One of the children is Bipin. II. Loyola Schoolâ€™s contestant did not come first. III. Little Flowerâ€™s contestant was named Riaz. IV. Convent School is not in Hyderabad. V. The contestant from Pune is not from Loyola School. VI. The contestant from Bangalore did not come first. VII. Convent Schoolâ€™s contestantâ€™s name is not Balbir. Which of the following statements is true? 1. 1st prize: Riaz (Little Flowers), 2nd prize: Bipin (Convent), 3rd prize: Balbir (Loyola) 2. 1st prize: Bipin (Convent), 2nd prize: Riaz (Little Flowers), 3rd prize: Balbir (Loyola) 3. 1st prize: Riaz (Little Flowers), 2nd prize: Balbir (Loyola), 3rd prize: Bipin (Convent) 4. 1st prize: Bipin (Convent), 2nd prize: Balbir (Loyola), 3rd prize: Riaz (Litttle Flowers) 5. Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of father of the younger boy. Similarly, if we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of mother of the younger boy. The mother of the younger boy is younger to his father by 3 years. Then, what is the age of the younger boy? 1. 3 2. 4 3. 2 4. None of these 6. Flights A and B are scheduled from an airport within the next one hour. All the booked passengers of the two flights are waiting in the boarding hall after check-in. The hall has a seating capacity of 200, out of which 10% remained vacant. 40% of the waiting passengers are ladies. When boarding announcement came, passengers of flight A left the hall and boarded the flight. Seating capacity of each flight is two-third of the passengers who waited in the waiting hall for both the flights put together. Half the passengers who boarded flight A are women. After boarding for flight A, 60% of the waiting hall seats became empty. For every twenty of those who are still waiting in the hall for flight B, there is one air hostess in flight A. What is the ratio of empty seats in flight B to the number of air hostesses in flight A? 1. 10 : 1 2. 5 : 1 3. 20 : 1 4. 1 : 1 Page 3 CAT 2002 Actual Paper Directions for questions 7 to 10: Answer the questions based on the information given below. A country has the following types of traffic signals. 3 red lights = stop 2 red lights = turn left 1 red light = turn right 3 green lights = go at 100 km/hr speed 2 green lights = go at 40 km/hr speed 1 green light = go at 20 km/hr speed A motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal). Starting point - 1 green light After half an hour, 1st signal - 2 red and 2 green lights After 15 min, 2nd signal - 1 red light After half an hour, 3rd signal - 1 red and 3 green lights After 24 min, 4th signal - 2 red and 2 green lights After 15 min, 5th signal - 3 red lights 7. The total distance travelled by the motorist from the starting point till the last signal is 1. 90 km 2. 100 km 3. 120 km 4. None of these 8. What is the position (radial distance) of the most motorist when he reaches the last signal? 1. 45 km directly north of the starting point 2. 30 km directly to the east of the starting point 3. 50 km away to the north-east of the starting point 4. 45 km away to the north-west of the starting point 9. After the starting point if the 1st signal were 1 red and 2 green lights, what would be the final position of the motorist? 1. 30 km to the west and 20 km to the south 2. 30 km to the west and 40 km to the north 3. 50 km to the east and 40 km to the north 4. Directly 30 km to the east 10. If at the starting point, the car was heading towards south, what would be the final position of the motorist? 1. 30 km to the east and 40 km to the south 2. 50 km to the east and 40 km to the south 3. 30 km to the west and 40 km to the south 4. 50 km to the west and 20 km to the north Page 4 CAT 2002 Actual Paper Directions for questions 11 to 13: Answer these questions based on the table given below. The following table provides data on the different countries and location of their capitals. (the data may not match the actual Latitude, Longitudes) Answer the following questions on the basis of this table. S.No. Country Capital Latitude Longitude 1 Argentina Buenos Aires 34.30 S 58.20 E 2 Australia Canberra 35.15 S 149.08 E 3 Austria Vienna 48.12 N 16.22 E 4 Bulgaria Sofia 42.45 N 23.20 E 5 Brazil Brasilia 15.47 S 47.55 E 6 Canada Ottawa 45.27 N 75.42 E 7 Cambodia Phnom Penh 11.33 N 104.55 E 8 Equador Quito 0.15 S 78.35 E 9 Ghana Accra 5.35 N 0.60 E 10 Iran Teheran 35.44 N 51.30 E 11 Ireland Dublin 53.20 N 6.18 E 12 Libya Tripoli 32.49 N 13.07 E 13 Malaysia Kuala Lumpur 3.90 N 101.41 E 14 Peru Lima 12.05 S 77.0 E 15 Poland Warsaw 52.13 N 21.0 E 16 New Zealand Wellington 41.17 S 174.47 E 17 Saudi Arabia Riyadh 24.41 N 46.42 E 18 Spain Madrid 40.25 N 3.45 W 19 Sri Lanka Colombo 6.56 N 79.58 E 20 Zambia Lusaka 15.28 S 28.16 E 11. What percentage of cities located within 10 E ° and 40 E ° (20° East and 40° East) lie in the Southern Hemisphere? 1. 15% 2. 20% 3. 25% 4. 30% 12. The number of cities whose names begin with a consonant and are in the Northern Hemisphere in the table 1. exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 1. 2. exceeds the number of cities whose names begin with a consonant and are in the southern hemisphere by 2. 3. is less than the number of cities whose names begin with a consonant and are in the east of the meridian by 1. 4. is less than the number of countries whose name begins with a consonant and are in the east of the meridian by 3. 13. The ratio of the number of countries whose name starts with vowels and located in the southern hemisphere, to the number of countries, the name of whose capital cities starts with a vowel in the table above is 1. 3 : 2 2. 3 : 3 3. 3 : 1 4. 4 : 3 Page 5 CAT 2002 Actual Paper Directions for questions 14 to 21: Each item is followed by two statements, A and B. Answer each question using the following instructions. Choose 1 if the question can be answered by one of the statements alone but not by the other. Choose 2 if the question can be answered by using either statement alone. Choose 3 if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. Choose 4 if the question cannot be answered even by using both statements together. 14. In a hockey match, the Indian team was behind by 2 goals with 5 min remaining. Did they win the match? A. Deepak Thakur, the Indian striker, scored 3 goals in the last 5 min of the match. B. Korea scored a total of 3 goals in the match. 1. 1 2. 2 3. 3 4. 4 15. Four students were added to a dance class. Would the teacher be able to divide her students evenly into a dance team (or teams) of 8? A. If 12 students were added, the teacher could put everyone in teams of 8 without any leftovers. B. The number of students in the class is currently not divisible by 8. 1. 1 2. 2 3. 3 4. 4 16. Is x = y? A. 11 (x y) 4 xy ?? ++ = ?? ?? B. 22 (x 50) (y 50) -=- 1. 1 2. 4 3. 3 4. 4 17. A dress was initially listed at a price that would have given the store a profit of 20% of the wholesale cost. What was the wholesale cost of the dress? A. After reducing the listed price by 10%, the dress sold for a net profit of $10. B. The dress is sold for $50. 1. 1 2. 2 3. 3 4. 4 18. Is 500 the average (arithmetic mean) score in the GMAT? A. Half of the people who take the GMAT score above 500 and half of the people score below 500. B. The highest GMAT score is 800 and the lowest score is 200. 1. 1 2. 2 3. 3 4. 4 19. Is |x â€“ 2| < 1? A. |x| < 1 B. |x â€“ 1| < 2 1. 2 2. 1 3. 3 4. 4 20. People in a club either speak French or Russian or both. Find the number of people in a club who speak only French. A. There are 300 people in the club and the number of people who speak both French and Russian is 196. B. The number of people who speak only Russian is 58. 1. 1 2. 2 3. 3 4. 4Read More

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### CAT Past Year Question Paper Solution - 2002

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