UPSC Prelims 2015·CSAT·Quantitative Aptitude·Combinatorics and Probability

Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in both English and Mathematics. The number of students who passed finally is

Dalvoy logo
Reviewed by Dalvoy
UPSC Civil Services preparation
Last updated 23 May 2026, 3:31 pm IST
  1. A40Correct
  2. B50
  3. C55
  4. D60

Explanation

Total students = 130. Students failed in English = 62. Students failed in Mathematics = 52. Students failed in both English and Mathematics = 24. To find the number of students who failed in at least one subject, we use the formula: Failed in at least one = (Failed in English) + (Failed in Mathematics) - (Failed in both) Failed in at least one = 62 + 52 - 24 Failed in at least one = 114 - 24 Failed in at least one = 90 The number of students who passed finally are those who did not fail in any subject. Number of students passed = Total students - (Students who failed in at least one subject) Number of students passed = 130 - 90 Number of students passed = 40 Therefore, the number of students who passed finally is 40. Option A is 40, which matches our calculation. The final answer is A
Quantitative Aptitude: Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in bo
ShareWhatsAppXTelegram

Related questions

More UPSC Prelims practice from the same subject and topic.