Three-set Venn data (percentages or counts): find only one, at least two, or none
This type of question, asked 3 times: CDS 2 2018, CDS 2 2019, CDS 1 2022. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1 (case study, 4 parts)
CDS 2 2018
Consider the following for the next 04 (four) items that follow : In an examination of Class XII, 55% students passed in Biology, 62% passed in Physics, 60% passed in Chemistry, 25% passed in Physics and Biology, 30% passed in Physics and Chemistry, 28% passed in Biology and Chemistry. Only 2% failed in all the subjects.51What percentage of students passed in all the three subjects ?Tap an option to check your answer.
52What percentage of students passed in exactly one subject ?Tap an option to check your answer.
53If the number of students is 360, then how many passed in at least two subjects ?Tap an option to check your answer.
54What is the ratio of number of students who passed in both Physics and Chemistry to number of students who passed in both Biology and Physics but not Chemistry ?Tap an option to check your answer.
Question 2 (case study, 3 parts)
CDS 2 2019
Consider the following for the next three (03) items : In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows :Newspaper Proportion of readers I 10% II 30% III 5% Both I and II 8% Both II and III 4% Both I and III 2% All the three (I, II and III) 1% 16What is the number of people who read only one newspaper ?Tap an option to check your answer.
17What is the number of people who read at least two newspapers ?Tap an option to check your answer.
18What is the number of people who do not read any of these three newspapers ?Tap an option to check your answer.
Question 3 (case study, 4 parts)
CDS 1 2022
Direction : Consider the following for the 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.97What is the percentage of candidates who failed in at least two subjects?Tap an option to check your answer.
98What is the percentage of candidates who failed in only one subject?Tap an option to check your answer.
99What is the percentage of candidates who failed in at least one subject?Tap an option to check your answer.
100How many candidates passed in two or more subjects?Tap an option to check your answer.