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Q50·CSAT · Prelims 2026

Quantitative — Weighted Average Cutoffs

NumericalAveragesArithmetic Problem● Medium

Question

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 table data provided with component scores] [cite: 4462, 4463, 4464, 4465, 4520, 4521, 4522, 4534]

Options

a

5.1

Answer
b

5.2

c

5.3

d

5.4

Explanation

To determine the proper cut-off score, compute the final weighted average score for each of the five candidates using the formula Score = 0.2(C_1) + 0.3(C_2) + 0.5(C_3). [cite: 4463, 4521]

Candidate 1: 0.2(5) + 0.3(4) + 0.5(6) = 1.0 + 1.2 + 3.0 = 5.2 [cite: 4465, 4534]
Candidate 2: 0.2(4) + 0.3(6) + 0.5(5) = 0.8 + 1.2 + 2.5 = 4.5 (Wait, 0.3 × 6 = 1.8, let's recalculate: 0.8 + 1.8 + 2.5 = 5.1) [cite: 4465, 4534]
Candidate 3: 0.2(3) + 0.3(2) + 0.5(8) = 0.6 + 0.6 + 4.0 = 5.2 [cite: 4465, 4534]
Candidate 4: 0.2(9) + 0.3(4) + 0.5(3) = 1.8 + 1.2 + 1.5 = 4.5 [cite: 4465, 4534]
Candidate 5: 0.2(8) + 0.3(8) + 0.5(2) = 1.6 + 2.4 + 1.0 = 5.0 [cite: 4465, 4534]

Let us rank the final scores in descending order to identify the top candidates:

1Candidate 1: 5.2 [cite: 4465, 4534]
2Candidate 3: 5.2 [cite: 4465, 4534]
3Candidate 2: 5.1 [cite: 4465, 4534]
4Candidate 5: 5.0 [cite: 4465, 4534]
5Candidate 4: 4.5 [cite: 4465, 4534]

To select exactly three candidates (Candidates 1, 3, and 2), the cut-off threshold must be set at the score of the third candidate, which is exactly 5.1. [cite: 4464, 4522]

Weighted scoring averages are calculated by summing the products of each component score multiplied by its respective weight coefficient.

Answer: (a).

Question details

Year

2026

Paper

CSAT

Question

Q50

Section

Quantitative Aptitude

Sub-topic

Averages

Type

Arithmetic Problem

Difficulty

Medium

Source hint

Weighted scoring — compound coefficient matrix indexing

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