Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q141 (IAS/2000) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics ?

Result
Your answer: —  Â·  Correct: B
Explanation

Use the inclusion–exclusion principle: |P ∪ M| = |P| + |M| − |P ∩ M|. Since every candidate took at least one subject, |P ∪ M| = 100%. The problem gives Physics = 65.8%, Mathematics = 59.2%, and total candidates = 2000. Applying the formula (written also in set/percentage form) yields |P ∩ M|% = 65.8% + 59.2% − 100% = 25.0%. Converting to counts: 25.0% of 2000 = 0.25 × 2000 = 500. Therefore 500 candidates took both Physics and Mathematics, so option 2 is correct.

How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
47%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

CAPF · 2018 · Q18 Relevance score: 3.60

In an examination, 53% students passed in Mathematics, 61% passed in Physics, 60% passed in Chemistry, 24% passed in Mathematics and Physics, 35% in Physics and Chemistry, 27% in Mathematics and Chemistty' and 5% in none. The ratio of percentage of passes in Mathematics and Chemistry but not in Physics in relation to the percentage of passes in Physics and Chemistry but not in Mathematics is

CAPF · 2017 · Q98 Relevance score: 3.31

In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination ?

IAS · 1994 · Q136 Relevance score: 1.85

Consider the diagram given below : Five hundred candidates appeared in an examination comprising tests in English, Hindi and Mathematics. The diagram gives the number of candidates who failed in different tests. What is the percentage of candidates who failed in at least two subjects ?

IAS · 2008 · Q7 Relevance score: 1.13

In an examination, 70% of the students passed in the Paper I, and 60% of the students passed in the Paper II: 15% of the students failed in both the papers while 270 students passed in both the papers. What is the total number of students?

CAPF · 2015 · Q90 Relevance score: 0.61

In an examination, there are three subjects ‘A’, *B’ and ‘C A student has to pass in each subject. 20% students failed in ‘A’, 22% students failed in ‘B’ and 16% students failed, in ‘C The total number of students %» pksSing the whole examination lies between :