Averages

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[CAT 1997] Directions for Questions 2 to 4: Answer the questions based on the following information. There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.

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[CAT 1997] Directions for Questions 2 to 4: Answer the questions based on the following information. There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.

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Directions: The table given below represents the number of students of different schools that participated in different sports. Study the data and answer the question that follows. Sport School A School B School C School D Badminton 20 25 30 15 Tennis 25 25 15 20 Table Tennis 30 10 20 25 Shot-put 40 15 30 35

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Directions: Read the information carefully and answer the question that follows. In a sports event in Delhi, schools from all over the country have arrived for participation. Five of those schools (A, B, C, D and E) have been provided accommodation at XYZ hostel, which is a five storey building whose ground floor is named as the first floor and top floor is named as the fifth floor. School A has been given rooms at the top floor, school B has been given rooms at the fourth floor and so on in the same order. School E has been given rooms at the first floor. The number of students from each school is different. Some of them are boys and some of them are girls. The total number of students from all these schools is 156. All these five schools are from different cities, i.e. Jaipur, Patna, Pune, Ropar and Indore. The school from Patna is staying at the floor which is three floors above the floor of school from Indore. The school from Jaipur is staying at the floor which is immediately below the floor of School C. School A arrived with 27 students. The school from Pune arrived with 16 girls and some boys. The number of boys in the school from Ropar and the school from Patna is the same. The number of students that arrived with the school from Indore is 20 less than the number of students that arrived from school from Jaipur. The ratio of girls of the school from Patna to the boys of school from Jaipur is 4 : 5. The school at the fourth floor has 6 students more than the school staying at the first floor. The ratio of boys to girls of the school from Ropar is 5 : 4 and that of the school from Pune is 3 : 4. The total number of boys from all the schools is 4 less than the total number of girls.

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Directions: Study the following information carefully and answer the given question. There are four pizza shops M, N, O and P. Each shop sells large and small pizzas, and the price of each large and small pizza is same, i.e. Rs. 150 and Rs. 90, respectively. For extra cheese and extra topping, Rs. 20 and Rs. 15 are charged, respectively. More information about the number of pizzas sold by these shops is given below. The total large pizzas sold by M are (y) and the total small pizzas sold are (y – 20). Total pizzas sold by N are 90. The ratio of extra cheese and topping orders received by M is 2 : 3, respectively, and the total extra cheese and topping orders received by M are y – 10. The ratio of the total large and small pizzas sold by O is 3 : 5 and the total extra cheese and topping orders received are 40 and 10, respectively. The ratio of the total pizzas sold by P to the total pizzas sold by O is 9 : 8. The total worth of the orders received by N is Rs. 3100 more than the total worth of the orders received by O. The extra cheese orders received by N are 20 more than the extra topping orders received and the total large pizzas sold are 50 more than the total small pizzas sold. The total extra topping and cheese orders received by P are 30 and the extra cheese orders received by P are 50% of the extra cheese orders received by M. The ratio of the total pizzas sold by M, O and N is 10 : 8 : 9, respectively.

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Directions (1-5): Given below is a table which gives the number of students who participated in an inter-school competition in different sports. Sport Total students Boys: Girls Cricket 350 4:3 Football 400 11:9 Volleyball 250 7:3 Table Tennis 200 12:13 Badminton 375 9:16 Basketball 425 3:2

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Directions: Read the information carefully and answer the question. Given below is the information regarding to the result of Beauty, Sweety and Madhu in internal exams of class 12 th . There are total 5 subjects i.e. English, Hindi, Physics, Chemistry and Mathematics, each carrying different maximum marks. English and Hindi both carry equal maximum marks i.e. 35. Physics carries 5 more maximum marks than English and 10 more maximum marks than Chemistry. Total of maximum marks of the 5 subjects is 160. Madhu scored 60% in English, while Sweety scored 50% in the same subject. Beauty scored only 13.5 marks in English. Beauty scored 24 marks in Hindi, which is 60% more than the marks scored by Sweety in the same subject. The total of the marks of 3 students in Hindi is 58. Madhu scored 15.5 marks in Physics, while Sweety scored 35% in the same subject and Beauty scored highest in Physics with 29 marks. Beauty scored 40% in Chemistry, which is % less than the marks of Sweety in the same subject. Score of Madhu in Chemistry is 14. The sum of marks of Beauty and Sweety in Mathematics is 32, while the ratio of the same is 9 : 7. Madhu scored 77.5% marks in Mathematics.

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Directions: Study the following information carefully and answer the question that follows. The following table gives information about the number of bikes (in 1000's) of three different types (A, B and C) sold in a particular year by six different showrooms, viz. Showroom-1, Showroom-2, Showroom-3, Showroom-4, Showroom-5 and Showroom-6, of a company in India. A B C Showroom-1 12 26 22.5 Showroom-2 18 24 34 Showroom-3 9 15 42 Showroom-4 21 16 26 Showroom-5 28 24 42 Showroom-6 32 27.5 35

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Directions: Study the following table and answer the question given below it: Number of students appeared (A) for an examination and percentage of students qualified (Q) in the examination from four different states over the years States P Q R S Years A Q A Q A Q A Q 2005 2,500 15% 8,000 20% 4,400 25% 3,200 18% 2006 5,600 16% 6,250 18% 5,000 30% 4,850 22% 2007 3,400 25% 5,900 19% 6,720 15% 4,800 14% 2008 8,120 20% 6,450 26% 7,200 23% 6,000 28% 2009 7,100 13% 6,000 30% 7,500 16% 7,000 29%

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Directions: Study the following information and answer the question. Players are selected for Judo based on their body weights from the following 10 weight groups: 1. (48 kg – 52 kg) 6. (68 kg – 72 kg) 2. (52 kg – 56 kg) 7. (72 kg – 76 kg) 3. (56 kg – 60 kg) 8. (76 kg – 80 kg) 4. (60 kg – 64 kg) 9. (80 kg – 84 kg) 5. (64 kg – 68 kg) 10. (84 kg – 88 kg) The average weight of the players after selecting one player from each group is 68 kg. If one of the players (named S) leaves the team, their average weight comes down to 66.5 kg.

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Directions: Study the following table carefully and answer the given question. The quantities (in kilograms) of various eatables supplied by Food Corporation of India reported in different states in the year to various ration depots in a month. State Rice Wheat Bajra Sugar Vegetable oil PUNJAB 50 90 40 85 60 HARYANA 65 82 54 90 64 DELHI 80 87 50 90 63 RAJASTHAN 70 70 45 80 65 AP 75 75 46 82 62 HP 72 80 50 88 70 MP 69 85 44 82 70 GUJARAT 64 86 47 83 60