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CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    Asked 3 times: CDS 2 2017*, CDS 2 2018*, CDS 2 2019 (* = numbers or wording changed that year) See all 3 times it was asked

    42
    In an examination, 52% candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then what percent passed in both the subjects ?

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  2. Question 2

    This type asked 3 times: CDS 2 2018, CDS 1 2020, CDS 2 2024. This one: CDS 2 2024 See all 3 of this type

    34
    In a class containing 200 students, nn students prefer both tea and coffee; 2n2n students prefer coffee, 3n3n students prefer tea; 4n4n students prefer neither tea nor coffee. What is the value of nn ?

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  3. Question 3 (case study, 4 parts)

    This type asked 3 times: CDS 2 2018, CDS 2 2019, CDS 1 2022. This one: CDS 1 2022 See all 3 of this type

    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.
    97
    What is the percentage of candidates who failed in at least two subjects?

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    98
    What is the percentage of candidates who failed in only one subject?

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    99
    What is the percentage of candidates who failed in at least one subject?

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    100
    How many candidates passed in two or more subjects?

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  4. Question 4

    Asked once: CDS 1 2020 (same type asked 3 times) See all 3 of this type

    5
    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 ?

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  5. Question 5 (case study, 3 parts)

    Asked once: CDS 2 2019 (same type asked 3 times) See all 3 of this type

    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 :
    NewspaperProportion of readers
    I10%
    II30%
    III5%
    Both I and II8%
    Both II and III4%
    Both I and III2%
    All the three (I, II and III)1%
    16
    What is the number of people who read only one newspaper ?

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    17
    What is the number of people who read at least two newspapers ?

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    18
    What is the number of people who do not read any of these three newspapers ?

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  6. Question 6

    Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    38
    In a class of 60 boys, there are 45 boys who play chess and 30 boys who play carrom. If every boy of the class plays at least one of the two games, then how many boys play carrom only ?

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  7. Question 7 (case study, 4 parts)

    Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    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.
    51
    What percentage of students passed in all the three subjects ?

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    52
    What percentage of students passed in exactly one subject ?

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    53
    If the number of students is 360, then how many passed in at least two subjects ?

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    54
    What 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 ?

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  8. Question 8

    Asked once: CDS 2 2026

    31
    Consider the following statements : I. The set of all birds living on the Earth is an infinite set. II. The set of all real numbers between 0 and 10 is a finite set. Which of the statements given above is/are correct ?

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  9. Question 9

    Asked once: CDS 2 2026

    32
    Consider the following sets : I. The set of even prime numbers II. {x∈R:x3+1=0}\{x \in \mathbb{R} : x^3 + 1 = 0\} III. {n∈Z:n2<1}\{n \in \mathbb{Z} : n^2 < 1\} How many of the above are null sets ?

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  10. Question 10

    Asked once: CDS 2 2026

    33
    Consider the following statements : I. If A is a subset of U and U is the Universal set, then the complement of the set A is also a subset of U. II. The complement of a Universal set is a singleton set. Which of the statements given above is/are correct ?

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