Question
Download Solution PDFComprehension
Direction : Consider the following for four (04) items that follow :
500 candidates appeared in an examination comprising tests in English, Hindi and Mathematics. 30 candidates failed in English only; 75 failed in Hindi only; 50 failed in mathematics only; 15 failed in both English and Hindi; 17 failed in both Hindi and Mathematics; 17 failed in both Mathematics and English; 5 failed in all three tests.
What is the percentage of candidates who failed in only one subject?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Total candidates who appeared in an examination = 500
30 candidates failed in English only
75 failed in Hindi only
50 failed in mathematics only
15 failed in both English and Hindi
17 failed in both Hindi and Mathematics
17 failed in both Mathematics and English
5 failed in all three tests
Concept used :
Venn diagram concept
Calculations :
Candidates failed in only english = 30
Candidates failed in only hindi = 75
Candidates failed in only mathematics = 50
Candidates failed in only one subject = 30 + 75 + 50
⇒ 155
The percentage of candidates who failed in only one subject
⇒ (Candidates failed in only one subject/total candidates) × 100
⇒ (155/500) × 100
⇒ 31%
∴ The percentage of candidates who failed in only one subject is 31%.
Last updated on May 29, 2025
-> The UPSC CDS 2 Notification has been released at upsconline.gov.in. for 453 vacancies.
-> Candidates can apply online from 28th May to 17th June 2025.
-> The CDS 2 Exam will be held on 14th September 2025.
-> Attempt UPSC CDS Free Mock Test to boost your score.
-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.
-> Refer to the CDS Previous Year Papers to enhance your preparation.