UPSC CDS I 2025 Mathematics Paper

Concept:The number of students in a specific mark range equals the difference between the cumulative frequencies of the upper and lower boundaries of that range.Explanation:The cumulative frequency for “Below 60” is 210. This means 210 students scored less than 60 marks.The cumulative frequency for “Below 70” is 315. This means 315 students scored less than 70 marks.To find students who scored between 60 and 70 (including those exactly 60? The data uses “below”, so the interval is 60 ≤ marks < 70, or strictly between 60 and 70 as per usual interpretation).Subtract the cumulative frequency at 60 from that at 70: $315 - 210 = 105$.Thus, 105 students have marks in the 60–70 range.Answer:A. 105