The following radar chart shows the performance scores (out of 100) of three companies on four different metrics. Study the chart and answer the questions.
What is the average score for Company C across all four metrics?
Answer: D
Average Company C's four metrics.
\[ 80 + 60 + 80 + 70 = 290 \]
\[ \frac{290}{4} = 72.5 \]
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The following table gives the marks obtained by six students in five different subjects in an examination. The maximum marks for each subject is 100. Study the table and answer the questions that follow.
| Student | History | English | Maths | Geography | Science |
|---|---|---|---|---|---|
| Ankit | 90 | 50 | 90 | 88 | 70 |
| Priya | 100 | 80 | 80 | 92 | 98 |
| Rahul | 90 | 60 | 70 | 70 | 80 |
| Suman | 80 | 65 | 80 | 65 | 75 |
| Sneha | 70 | 75 | 85 | 85 | 65 |
| Rohit | 65 | 55 | 95 | 74 | 70 |
What is the average mark obtained by all the students in Geography?
Answer: C
Read the Geography column and average the six marks.
\[ 88 + 92 + 70 + 65 + 85 + 74 = 474 \]
\[ \frac{474}{6} = 79 \]
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Who is the top-ranking student based on total marks?
Answer: B
We need to calculate the total marks for each student.
Priya has the highest total marks (450).
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The marks obtained by Suman in English is what percentage of the marks obtained by Priya in the same subject?
Answer: C
Suman scored 65 in English and Priya 80.
\[ \frac{65}{80} \times 100 = 81.25\% \]
Priya's mark is the base, since the question asks what Suman's was of hers.
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What is the overall percentage of marks obtained by Rahul?
Answer: C
Total marks obtained by Rahul = 90+60+70+70+80 = 370.
The maximum marks for each subject is 100. For 5 subjects, the total maximum marks = 500.
Overall Percentage = \(\frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \times 100\)
= \(\frac{370}{500} \times 100 = 74\)%.
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The following data shows the distribution of employees in a company across different departments and the ratio of males to females in them. The total number of employees in the IT department is 990. Study the data and answer the questions.
Pie Chart: Employee Distribution by Department
Table: Male to Female Ratio
| Department | Male : Female Ratio |
|---|---|
| HR | 1:2 |
| Accounts | 4:5 |
| Production | 11:7 |
| IT | 5:4 |
| Marketing | 7:8 |
What is the total number of employees in the company?
Answer: D
The question provides the number of employees in the IT department, which can be used to find the total.
Number of employees in IT = 990.
From the pie chart, the percentage of employees in IT = 22%.
Let T be the total number of employees.
22% of T = 990
0.22 * T = 990
T = 990 / 0.22 = 4500.
The total number of employees is 4500.
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What is the total number of male employees in the company?
Answer: B
Correct answer: 2280
The IT department is 22% of the workforce and holds 990 people, so the company total is
\[\frac{990}{0.22} = 4500\]
Apply each department’s percentage, then split it by the male:female ratio.
HR, 12% of 4500 = 540, ratio 1:2, males \(= \tfrac{1}{3}\times 540 = 180\).
Accounts, 18% = 810, ratio 4:5, males \(= \tfrac{4}{9}\times 810 = 360\).
Production, 28% = 1260, ratio 11:7, males \(= \tfrac{11}{18}\times 1260 = 770\).
IT, 22% = 990, ratio 5:4, males \(= \tfrac{5}{9}\times 990 = 550\).
Marketing, 20% = 900, ratio 7:8, males \(= \tfrac{7}{15}\times 900 = 420\).
\[180 + 360 + 770 + 550 + 420 = 2280\]
The remaining 2220 employees are female, and the two figures add back to 4500.
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What is the ratio of the number of females in the Production department to the number of males in the Marketing department?
Answer: B
Correct answer: 7:6
The IT department is 22% of the workforce and holds 990 people, so the total is \(\tfrac{990}{0.22} = 4500\).
Females in Production. The department is 28% of 4500, or 1260, split 11:7 over 18 parts of 70:
\[\frac{7}{18} \times 1260 = 490\]
Males in Marketing. The department is 20% of 4500, or 900, split 7:8 over 15 parts of 60:
\[\frac{7}{15} \times 900 = 420\]
\[490 : 420 = 49 : 42 = 7 : 6\]
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What is the number of employees in the HR department?
Answer: A
From the first question under this direction, we found the total number of employees to be 4500.
The pie chart shows that 12% of employees are in the HR department.
Number of HR employees = 12% of 4500 = 0.12 * 4500 = 540.
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The following data consists of a line graph showing the percentage of rural population in five different states and a table showing the total population of these states. Study the data and answer the questions.
Line Graph: Rural Population %
Table: Total Population
| State | Total Population (in millions) |
|---|---|
| A | 20 |
| B | 25 |
| C | 30 |
| D | 25 |
| E | 20 |
What is the total rural population of State A and State C together?
Answer: C
We need to calculate the rural population for each state and then add them.
State A: Total Population = 20 million. Rural Population % = 60%.
Rural Population = 60% of 20 million = 0.60 * 20 = 12 million.
State C: Total Population = 30 million. Rural Population % = 45%.
Rural Population = 45% of 30 million = 0.45 * 30 = 13.5 million.
Total Rural Population (A + C) = 12 + 13.5 = 25.5 million.
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