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Question

The following table presents the details about the number of candidates who appeared in an entrance exam and percentage (%) of candidates who qualified the exam from two states P and Q during the years 2017-2021. Some values are missing in the table, and have to be computed, if required. Year-wise Distribution of Candidates in an Entrance Exam

YearState P State Q
AppearedQualifiedAppearedQualified
2017180060%152030%
2018240043%-40%
2019-60%104060%
2020192070%80070%
20211520-1320-

If from state P, the total number of candidates who qualified in 2020 and 2021 together is 2712, then what percent of candidates remain unqualified from state P in 2021?

This question was previously asked in
UGC NET 2022 Paper 1 Question Paper (22-Oct-2022) (Shift 2)
The correct answer is

10%

 To solve the problem, we need to determine the percentage of candidates who remained unqualified from state P in 2021.

  1. First, get the total number of candidates who qualified from state P in 2021. The total number of qualified candidates from 2020 and 2021 is given as 2712.
  2. From the table, the number of candidates who appeared in 2020 from state P is 1920, and 70% of them qualified. Thus, the number of candidates who qualified from state P in 2020 is calculated as: \(1920 \times \frac{70}{100} = 1344\)
  3. Using the information given, we can find the number of qualified candidates from state P in 2021: \(2712 - 1344 = 1368\) (candidates qualified in 2021)
  4. Next, determine the number of candidates who appeared from state P in 2021. The table indicates 1520 candidates appeared.
  5. Calculate the number of candidates who did not qualify in 2021: \(1520 - 1368 = 152\) (candidates did not qualify)
  6. Finally, find the percentage of candidates who remained unqualified: \(\left(\frac{152}{1520}\right) \times 100 \approx 10\%\)

Therefore, the percentage of candidates who remained unqualified from state P in 2021 is 10%.

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