PYQ Vault

Day 65: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Ratio, Proportion and Variation. This type asked 2 times: CDS 2 2018, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    35
    Two numbers P and Q are such that P:Q=x:yP : Q = x : y. If 1 is added to both the numbers, the ratio becomes 7 : 10. If 3 is added to both the numbers, the ratio becomes 3 : 4. What is (x+y):(x−y)(x + y) : (x - y) equal to ?

    Tap an option to check your answer.

  2. Question 2

    Time and Work. This type asked 2 times: CDS 1 2024, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    14
    X can do a piece of work in 4 days and Y can do the same piece of work in 6 days. Which of the following statements is/are correct ? I. If X and Y work alternately starting with X, then the piece of work will be finished on the fifth day. II. If X and Y work alternately starting with Y, then the piece of work will be finished in less than 5 days. Select the answer using the code given below :

    Tap an option to check your answer.

  3. Question 3

    Triangles. This type asked 2 times: CDS 2 2021, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    48
    ABC is a triangle in which AB=ACAB = AC and D is any point on BC. Which of the following statements is/are correct ? I. AB2−AD2=CD×BDAB^2 - AD^2 = CD \times BD II. BC2+BD2−DC2=2BD×BCBC^2 + BD^2 - DC^2 = 2BD \times BC Select the answer using the code given below :

    Tap an option to check your answer.

  4. Question 4 (case study, 2 parts)

    Trigonometric Ratios and Identities. This type asked 2 times: CDS 2 2025, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    For the next two (02) items that follow : psin⁡2α+qcos⁡2α=mp\sin^2\alpha + q\cos^2\alpha = m and pcos⁡2β+qsin⁡2β=np\cos^2\beta + q\sin^2\beta = n
    95
    What is tan⁡2α\tan^2\alpha equal to ?

    Tap an option to check your answer.

    96
    What is cot⁡2β\cot^2\beta equal to ?

    Tap an option to check your answer.

  5. Question 5

    Lines, Angles and Polygons. This type asked 2 times: CDS 2 2018, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    74
    An angle θ\theta is exactly one-fourth of its complementary angle. What is the value of angle θ\theta ?

    Tap an option to check your answer.