Directions: Study the following table and answer the questions based on it : Number of Candidates Appeared, Qualified And Selected In a Competitive Examination From 5 States Delhi; H.P.; U.P.; Punjab and Haryana Over The Years 2007 To 2011 | Year | Delhi App. | Delhi Qual. | Delhi Sel. | H.P. App. | H.P. Qual. | H.P. Sel. | U.P. App. | U.P. Qual. | U.P. Sel. | Punjab App. | Punjab Qual. | Punjab Sel. | Haryana App. | Haryana Qual. | Haryana Sel. | |---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| | 2007 | 8000 | 850 | 94 | 7800 | 810 | 82 | 7500 | 720 | 78 | 8200 | 680 | 85 | 6400 | 700 | 75 | | 2008 | 4800 | 500 | 48 | 7500 | 800 | 65 | 5600 | 620 | 85 | 6800 | 600 | 70 | 7100 | 650 | 75 | | 2009 | 7500 | 640 | 82 | 7400 | 560 | 70 | 4800 | 400 | 48 | 6500 | 525 | 65 | 5200 | 350 | 55 | | 2010 | 9500 | 850 | 90 | 8800 | 920 | 86 | 7000 | 650 | 70 | 7800 | 720 | 84 | 6400 | 540 | 60 | | 2011 | 9000 | 800 | 70 | 7200 | 850 | 75 | 8500 | 950 | 80 | 5700 | 485 | 60 | 4500 | 600 | 75 | The percentage of candidates qualified from Punjab over those appeared from Punjab is highest in the year :

### Concept & Formula The percentage of candidates qualified is calculated by: $$ \text{Percentage} = \left( \frac{\text{Qualified in Punjab}}{\text{Appeared in Punjab}} \right) \times 100 $$ ### Step-by-Step Solution 1. **2007:** $\left(\frac{680}{8200}\right) \times 100 \approx 8.29\%$ 2. **2008:** $\left(\frac{600}{6800}\right) \times 100 \approx 8.82\%$ 3. **2009:** $\left(\frac{525}{6500}\right) \times 100 \approx 8.07\%$ 4. **2010:** $\left(\frac{720}{7800}\right) \times 100 \approx 9.23\%$ 5. **2011:** $\left(\frac{485}{5700}\right) \times 100 \approx 8.50\%$ The highest percentage is in 2010 ($9.23\%$). ### Exam Strategy & Shortcut To find the maximum fraction without full division, simplify the ratios or use decimal approximations mentally: $\frac{72}{780}$ for 2010 is clearly greater than $9\%$, while all other options are less than $9\%$. ### Common Pitfall A common mistake is reading data for a different state due to losing track of the correct column. Always use a ruler or straight edge (physically or visually) to track the data table properly. ### Final Answer Therefore, the correct answer is **2010**.