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 Chemistry 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:
7:5
5:7
4:5
5:4
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2018
Percentage of passes in Mathematics and Chemistry but not in Physics is the region (M∩C) excluding the triple intersection (M∩C∩P). This is |M∩C| – |M∩C∩P| = 27% – 7% = 20%.
Percentage of passes in Physics and Chemistry but not in Mathematics is the region (P∩C) excluding the triple intersection (M∩P∩C). This is |P∩C| – |M∩P∩C| = 35% – 7% = 28%.
The ratio of the percentage of passes in Mathematics and Chemistry but not in Physics to the percentage of passes in Physics and Chemistry but not in Mathematics is 20 : 28. Simplifying the ratio by dividing by 4, we get 5 : 7.