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 | In the year 2007, which state had the lowest percentage of candidates selected over the candidates appeared ?

### Concept & Formula The percentage of candidates selected relative to the candidates appeared is calculated using the formula: $$ \text{Percentage} = \left( \frac{\text{Selected}}{\text{Appeared}} \right) \times 100 $$ ### Step-by-Step Solution 1. **Delhi:** $\left(\frac{94}{8000}\right) \times 100 = 1.175\%$ 2. **H.P.:** $\left(\frac{82}{7800}\right) \times 100 = 1.051\%$ 3. **U.P.:** $\left(\frac{78}{7500}\right) \times 100 = 1.040\%$ 4. **Punjab:** $\left(\frac{85}{8200}\right) \times 100 = 1.036\%$ 5. **Haryana:** $\left(\frac{75}{6400}\right) \times 100 = 1.171\%$ Comparing the calculated values, Punjab has the lowest percentage ($1.036\%$). ### Exam Strategy & Shortcut Instead of calculating full percentages, compare the fractions $\frac{\text{Selected}}{\text{Appeared}}$. Notice that all ratios are around $1\%$. Comparing $\frac{78}{75}$ (U.P. scaling) and $\frac{85}{82}$ (Punjab scaling) helps quickly narrow down to Punjab being slightly smaller than U.P. ### Common Pitfall Using the "Qualified" column instead of the "Appeared" column for the denominator. Always read the question carefully to ensure the correct base is used. ### Final Answer Therefore, the correct answer is **Punjab**.