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2026
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 1 — Score in component 1: 5, component 2: 4, component 3: 6 Candidate 2 — Score in component 1: 4, component 2: 6, component 3: 5 Candidate 3 — Score in component 1: 3, component 2: 2, component 3: 8 Candidate 4 — Score in component 1: 9, component 2: 4, component 3: 3 Candidate 5 — Score in component 1: 8, component 2: 8, component 3: 2

Explanation

To find the cutoff score for selection, calculate the weighted score for each candidate:

  1. Candidate 1: 0.2×5+0.3×4+0.5×6=0.2(5)+0.3(4)+0.5(6)=1+1.2+3=5.20.2 \times 5 + 0.3 \times 4 + 0.5 \times 6 = 0.2(5) + 0.3(4) + 0.5(6) = 1 + 1.2 + 3 = 5.2
  2. Candidate 2: 0.2×4+0.3×6+0.5×5=0.8+1.8+2.5=5.10.2 \times 4 + 0.3 \times 6 + 0.5 \times 5 = 0.8 + 1.8 + 2.5 = 5.1
  3. Candidate 3: 0.2×3+0.3×2+0.5×8=0.6+0.6+4=5.20.2 \times 3 + 0.3 \times 2 + 0.5 \times 8 = 0.6 + 0.6 + 4 = 5.2
  4. Candidate 4: 0.2×9+0.3×4+0.5×3=1.8+1.2+1.5=4.50.2 \times 9 + 0.3 \times 4 + 0.5 \times 3 = 1.8 + 1.2 + 1.5 = 4.5
  5. Candidate 5: 0.2×8+0.3×8+0.5×2=1.6+2.4+1=50.2 \times 8 + 0.3 \times 8 + 0.5 \times 2 = 1.6 + 2.4 + 1 = 5
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