PYQ Vault

Day 150: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    65
    What is cos⁡4A−sin⁡4Acos⁡2A−sin⁡2A\frac{\cos^4 A - \sin^4 A}{\cos^2 A - \sin^2 A} equal to ?

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  2. Question 2 (case study, 3 parts)

    Mensuration 3D. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    For the next three (03) items that follow : A tent of a circus is made of canvas and is in the form of right circular cylinder and right circular cone above it. The height and diameter of the cylindrical part of the tent are 5 m and 126 m respectively. The total height of the tent is 21 m.
    64
    What is the slant height of the cone ?

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    65
    What is the curved surface area of the cylinder ?

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    66
    How many square metres of canvas are used ?

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  3. Question 3

    Percentage, Profit and Loss. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    19
    A candidate scoring x%x\% marks in an examination fails by aa marks, while another candidate who scores y%y\% marks gets bb marks more than the minimum required pass marks. What is the maximum marks for the examination ?

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  4. Question 4

    Statistics. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    95
    Suppose the class interval 10–15 has frequency 30, then what is the frequency density of this class interval ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    80
    Consider the following : 1. sin⁡1∘>sin⁡1c\sin 1^\circ > \sin 1^c 2. cos⁡1∘<cos⁡1c\cos 1^\circ < \cos 1^c 3. tan⁡1∘>tan⁡1c\tan 1^\circ > \tan 1^c Which of the above are not correct ?

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