Study the following table and answer the questions. Classification of 100…
2024
Study the following table and answer the questions. Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination.

If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue higher studies in Physics?
- A.
27
- B.
32
- C.
34
- D.
41
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept
In a cumulative "marks and above" frequency table, each column entry already counts every student scoring at or above that mark. So the number of students meeting a given percentage cutoff is read directly from the column whose header equals that cutoff mark - it is never obtained by adding or subtracting entries from other columns.
Application
Convert the eligibility rule into an absolute mark: 60% of the maximum 50 marks = (60/100) × 50 = 30 marks.
The question asks specifically about Physics, so the Physics row of the table is the only one relevant.
Locate the column headed "30 and above" - this matches the 30-mark cutoff exactly, so no interpolation between columns is needed.
Read the Physics-row value under that column: 32 students.
Cross-check
Cumulative counts must fall as the threshold rises. For Physics: 100 (0 and above) ≥ 92 (10 and above) ≥ 80 (20 and above) ≥ 32 (30 and above) ≥ 9 (40 and above). The value 32 sits consistently in that decreasing sequence, confirming it was read from the correct row - unlike the Chemistry and Average rows, whose own 30-and-above entries (21 and 27) belong to a different sequence entirely.
Table read from the source image (Marks out of 50):
Subject | 40 and above | 30 and above | 20 and above | 10 and above | 0 and above |
|---|---|---|---|---|---|
Physics | 9 | 32 | 80 | 92 | 100 |
Chemistry | 4 | 21 | 66 | 81 | 100 |
Average (Aggregate) | 7 | 27 | 73 | 87 | 100 |
