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QUESTION

CSAT

Medium

Maths

Prelims 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 0.20.2, 0.30.3 and 0.50.5, respectively. Use the data given below and find the cutoff score if exactly three candidates are to be selected :

CandidateScore in component 1Score in component 2Score in component 3
1546
2465
3328
4943
5882

Select an option to attempt

Explanation

To find the cutoff score, we first need to calculate the total weighted score for each candidate. The formula for the total score is:

Total Score = (Score in component 1×0.2)+(Score in component 2×0.3)+(Score in component 3×0.5)(\text{Score in component 1} \times 0.2) + (\text{Score in component 2} \times 0.3) + (\text{Score in component 3} \times 0.5)

Let's compute the total score for each candidate step-by-step:

  • Candidate 1: 5×0.2+4×0.3+6×0.5=1.0+1.2+3.0=5.25 \times 0.2 + 4 \times 0.3 + 6 \times 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=5.14 \times 0.2 + 6 \times 0.3 + 5 \times 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=5.23 \times 0.2 + 2 \times 0.3 + 8 \times 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=4.59 \times 0.2 + 4 \times 0.3 + 3 \times 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=5.08 \times 0.2 + 8 \times 0.3 + 2 \times 0.5 = 1.6 + 2.4 + 1.0 = 5.0

Now, let's arrange the total scores of all candidates in descending order to identify the top performers:

  1. Candidate 1: 5.25.2
  2. Candidate 3: 5.25.2
  3. Candidate 2: 5.15.1
  4. Candidate 5: 5.05.0
  5. Candidate 4: 4.54.5

The recruitment process requires exactly three candidates to be selected. This means we must select the top three scorers.

The top three scores are 5.25.2, 5.25.2, and 5.15.1.

To ensure exactly three candidates make the list, the cutoff score (the minimum score required to be selected) must be set at the score of the third-highest candidate.

Therefore, the cutoff score is 5.15.1.

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