PYQ Vault
EbooksTutor

Day 264: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Lines, Angles and Polygons. Asked once: CDS 2 2017

    84
    A closed polygon has six sides and one of its angles is 30∘30^\circ greater than each of the other five equal angles. What is the value of one of the equal angles ?

    Tap an option to check your answer.

  2. Question 2

    Logarithms. Asked once: CDS 1 2019

    31
    What is the value of log⁡10(cos⁡θ)+log⁡10(sin⁡θ)+log⁡10(tan⁡θ)+log⁡10(cot⁡θ)+log⁡10(sec⁡θ)+log⁡10(cosec⁡θ)\log_{10}(\cos\theta) + \log_{10}(\sin\theta) + \log_{10}(\tan\theta) + \log_{10}(\cot\theta) + \log_{10}(\sec\theta) + \log_{10}(\operatorname{cosec}\theta) ?

    Tap an option to check your answer.

  3. Question 3

    Mensuration 2D. Asked once: CDS 2 2024

    72
    What is the maximum area of a rectangle, in square cm, whose perimeter is 400 cm ?

    Tap an option to check your answer.

  4. Question 4

    Mensuration 3D. Asked once: CDS 1 2024

    37
    A cube whose edge is 14 cm long has on each of its faces a circle of 7 cm radius painted yellow. What is the total area of unpainted surface ? (Take π=227\pi = \frac{22}{7})

    Tap an option to check your answer.

  5. Question 5

    Number System. Asked once: CDS 1 2025

    7
    What is the minimum value of pp for which 1532900+p2266450+p4523900\dfrac{1}{532900} + \dfrac{p^2}{266450} + \dfrac{p^4}{523900} is an integer ?

    Tap an option to check your answer.