UPSC CSE Prelims
Data Interpretation Previous Year Questions (PYQs)
Showing solved Previous Year Questions for Chapter: Data Interpretation
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In a recruitment process, the selection of candidates is based on their performance in three components. The weightages of the components 1, 2 and 3 are $0.2$, $0.3$ and $0.5$, respectively. Use the data given below and find the cutoff score if exactly three candidates are to be selected :
| Candidate | Score in component 1 | Score in component 2 | Score in component 3 |
|---|---|---|---|
| 1 | 5 | 4 | 6 |
| 2 | 4 | 6 | 5 |
| 3 | 3 | 2 | 8 |
| 4 | 9 | 4 | 3 |
| 5 | 8 | 8 | 2 |
Detailed Explanation:
Calculate weighted score for each candidate using formula: Score = (C1 × 0.2) + (C2 × 0.3) + (C3 × 0.5).
Candidate 1: 5(0.2) + 4(0.3) + 6(0.5) = 1.0 + 1.2 + 3.0 = 5.2
Candidate 2: 4(0.2) + 6(0.3) + 5(0.5) = 0.8 + 1.8 + 2.5 = 5.1
Candidate 3: 3(0.2) + 2(0.3) + 8(0.5) = 0.6 + 0.6 + 4.0 = 5.2
Candidate 4: 9(0.2) + 4(0.3) + 3(0.5) = 1.8 + 1.2 + 1.5 = 4.5
Candidate 5: 8(0.2) + 8(0.3) + 2(0.5) = 1.6 + 2.4 + 1.0 = 5.0
Ranking in descending order: 5.2, 5.2, 5.1, 5.0, 4.5. Top three candidates score 5.2, 5.2, and 5.1. The cutoff is the score of the third-highest candidate.
Therefore, the cutoff score is 5.1, making Option 1 the correct answer.
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