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. Is the average of the largest and the smallest of four given numbers greater than the average of the four numbers? I. The difference between the largest and the second largest numbers is less than the difference between the second largest and the second smallest numbers. II. The difference between the largest and the second largest numbers is greater than the difference between the second smallest and the smallest numbers. III. The difference between the largest and the second smallest numbers is greater than the difference between the second largest and the smallest numbers.

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?