A school has four sections A, B, C, D of Class IX students.

Result Section A Section B Section C Section D
Students failed in both exams 28 23 17 27
Students failed in half-yearly but passed in annual exams 14 12 8 13
Students passed in half-yearly but failed in annual exams 6 17 9 15
Students passed in both exams 64 55 46 76


In the context of comparing the difficulty level of the two examinations based on the number of students passing, which of the following statements is true?

This question was previously asked in
UP Police Constable Re-Exam 2024 Official Paper (Held On: 24th Aug 2024 Shift 2)
View all UP Police Constable Papers >
  1. Both the exams had almost the same difficulty level.
  2. The two exams cannot be compared for difficulty level.
  3. Half-yearly exams were more difficult.
  4. Annual exams were more difficult.

Answer (Detailed Solution Below)

Option 1 : Both the exams had almost the same difficulty level.
Free
UP Police Constable Re-Exam Full Test 10
1.1 Lakh Users
150 Questions 300 Marks 120 Mins

Detailed Solution

Download Solution PDF
Formula used:

Compare total passes in each exam:

Pass half-yearly = Passed half-yearly (passed both + passed half-yearly but failed annual)

Pass annual = Passed annual (passed both + failed half-yearly but passed annual)

Calculation:

Section A:

Pass half-yearly = 64 + 6 = 70

Pass annual = 64 + 14 = 78

Section B:

Pass half-yearly = 55 + 17 = 72

Pass annual = 55 + 12 = 67

Section C:

Pass half-yearly = 46 + 9 = 55

Pass annual = 46 + 8 = 54

Section D:

Pass half-yearly = 76 + 15 = 91

Pass annual = 76 + 13 = 89

Total passes in half-yearly = 70 + 72 + 55 + 91 = 288

Total passes in annual = 78 + 67 + 54 + 89 = 288

Both exams have the same total number of students passing (288).

∴ Both the exams had almost the same difficulty level.

Latest UP Police Constable Updates

Last updated on Jun 11, 2025

-> UP Police Constable 2025 Notification will be released for 19220 vacancies by June 15th 2025.

-> Check UPSC Prelims Result 2025, UPSC IFS Result 2025UPSC Prelims Cutoff 2025, UPSC Prelims Result 2025 Name Wise & Rollno. Wise

-> UPPRPB Constable application window is expected to open in June 2025.

-> UP Constable selection is based on Written Examination, Document Verification, Physical Measurements Test, and Physical Efficiency Test.

-> Candidates can attend the UP Police Constable and can check the UP Police Constable Previous Year Papers. Also, check UP Police Constable Exam Analysis.

More Tabulation Questions

Get Free Access Now
Hot Links: teen patti real teen patti dhani teen patti lucky teen patti gold old version teen patti all games