CDS · Elementary Mathematics · UPSC · 2016–2024

Set Theory — CDS Elementary Mathematics PYQs

21 questions from this chapter, asked in 8 CDS exams between 2016–2024.

21questions

8CDS exams

2016–2024years covered

Questions asked per year

20243 Qs 20232 Qs 20224 Qs 20201 Qs 20194 Qs 20183 Qs 20173 Qs 20161 Qs

Practice questions first 10 of 21 — free

Q1MCQ2024

Answer Logic

In a class containing 200 students, $n$ students prefer both tea and coffee; $2 n$ students prefer coffee, $3 n$ students prefer tea; $4 n$ students prefer neither tea nor coffee. What is the value of $n$ ?

(A)20

(B)25

(C)30

(D)35

Q2MCQ2024

Answer Logic

The total population of an area is 10,000 out of which males and females are equal in number. Out of the total population 30% are Newspaper readers, one-third read English Newspaper. Out of the total English Newspaper readers, 20% are females. What is the number of males who do not read English Newspaper?

(A)800

(B)2100

(C)4200

(D)Cannot be determined due to insufficient data

Q3MCQ2024

Answer Logic

In a class of 160 students, each of them opt at least one language from among English, Hindi and Sanskrit. It is found that 130 students opt English, 120 students Hindi and 110 Sanskrit. If the students opt either only one language or all three languages, then what is the number of students who study all three languages?

(A)40

(B)60

(C)80

(D)100

Q4MCQ2023

Answer Logic

In a party of 150 persons, 75 persons take tea, 60 persons take coffee and 50 persons take milk. 15 of them take both tea and coffee, but no one taking milk takes tea. If each person in the party takes at least one drink, then what is the number of persons taking milk only?

(A)50

(B)40

(C)30

(D)20

Q5MCQ2023

Answer Logic

Let $X = {x ∣ x = 2 + 4 k, where k = 0, 1, 2, 3, \dots, 24}$ . Let $S$ be a subset of $X$ such that the sum of no two elements of $S$ is 100. What is the maximum possible number of elements in $S$ ?

(A)10

(B)11

(C)12

(D)13

Q6MCQ2022

Answer Logic

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 at least two subjects?

(A)5.4%

(B)6.4%

(C)6.8%

(D)7.8%

Q7MCQ2022

Answer Logic

What is the percentage of candidates who failed in only one subject?

(A)28%

(B)31%

(C)35.8%

(D)38.8%

Q8MCQ2022

Answer Logic

What is the percentage of candidates who failed in at least one subject?

(A)31%

(B)35.4%

(C)38.8%

(D)41.5%

Q9MCQ2022

Answer Logic

How many candidates passed in two or more subjects?

(A)461

(B)405

(C)345

(D)306

Q10MCQ2020

Answer Logic

In a competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, 75 students for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics?

(A)90

(B)100

(C)150

(D)160

Why practise Set Theory PYQs?

Set Theory has appeared in 8 CDS Elementary Mathematics exams we track between 2016–2024. UPSC examiners consistently reuse concepts and question patterns from this topic — practising its previous year questions is the most reliable way to know exactly what to expect in your exam.

Set Theory — CDS Elementary Mathematics PYQs

Questions asked per year

Practice questions first 10 of 21 — free

Why practise Set Theory PYQs?

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