Average Questions

Directions: Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. In a cricket eleven, the average age of eleven players is $28$ years. What is the age of the captain? I. The captain is eleven years older than the youngest player. II. The average age of 10 players, other than the captain is $27.3$ years. III. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are $25$ years, $28$ years and $30$ years respectively.

Read the following passage and answer the given questions. Study the following given pie - charts carefully and answer the questions given below. The first pie chart represents the breakup of the number of employees working in different departments of an organization and the second pie chart represents the distribution of promotion of employees. <img src="/api/images/employee-department-distribution-and-promotion-pie-charts.png" alt="Pie charts displaying the breakup of 6,000 employees across departments and the distribution of 1,200 total promotions" width="300" height="200" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" /> What is the difference between the average number of employees who were promoted in the IT, Production, and Sells departments and the average of number of total employees in these three departments?

Direction: Study the following information carefully and answer the questions. The following pie chart shows the distribution of the number of laptops sold by five stores. <img src="/api/images/laptop-sales-distribution-pie-chart.png" alt="Pie chart showing the distribution of the number of laptops sold by five different stores: Store A, Store B, Store C, Store D, and Store E, featuring data points in percentages and degrees with variables y and z." width="500" height="400" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" /> Conditions: I. The total number of laptops sold by all the five stores (A, B, C, D and E) taken together is 7200. II. $(19z - 4y) = 42$ III. $z^2 + 2z - 224 = 0$ Note: The values given in the above given pie chart in the form of degree or percentage form cannot be negative. The average number of laptops sold by store A, C, E and B together is how much more than the average number of laptops sold by store B and D together?

Visitors to a show were charged ₹ 15 each on the first day, ₹ 7.50 on the second day and ₹ 2.50 on the third day. The attendance on the three days was in the ratio 2 : 5 : 13. The average charge per person for the whole show was

Based on the provided data concerning the tournament performance of six different players, answer the following questions: | Player | Matches Played | Run Average | Balls Faced | Strike Rate | |---|---|---|---|---| | A | 8 | — | — | 129.6 | | B | 20 | 81 | — | — | | C | — | 38 | 400 | 114 | | D | — | — | — | 72 | | E | 28 | 55 | 1280 | — | | F | — | — | — | 66 | Important Guidelines: 1. Strike Rate is calculated as (Total Runs / Balls Faced) * 100. 2. Every player batted in every match they played. 3. Hyphens (-) indicate missing data points that must be derived to solve the problems. Determine the total number of matches that player C participated in during the tournament.