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 radar chart shows the performance scores (out of 100) of three companies on four different metrics. Study the chart and answer the questions.
For which company is the area covered by the polygon on the chart the largest?
Answer: B
A larger area on a radar chart generally indicates higher values across the board. By visual inspection of the data points, Company B has the highest or second-highest values on most metrics (Sales: 90, Profit: 85, Market Share: 75, Customer Sat.: 90). Company A has lower values (e.g., Sales 70, Market Share 60) and Company C also has lower values in some areas (Profit 60, Customer Sat. 70). Therefore, Company B covers the largest area.
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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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