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Day 214: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2020 (same type asked 8 times) See all 8 of this type

    65
    A rectangle is 48 cm long and 14 cm wide. If the diagonal makes an angle θ\theta with the longer side, then what is (sec⁡θ+cosec⁡θ)(\sec\theta + \operatorname{cosec}\theta) equal to ?

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  2. Question 2

    Number System. Asked once: CDS 1 2023 (same type asked 8 times) See all 8 of this type

    3
    What is the remainder when 659965^{99} is divided by 11?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020 (same type asked 7 times) See all 7 of this type

    57
    If cos⁡47∘+sin⁡47∘=k\cos 47^\circ + \sin 47^\circ = k, then what is the value of cos⁡247∘−sin⁡247∘\cos^2 47^\circ - \sin^2 47^\circ ?

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: CDS 2 2020 (same type asked 7 times) See all 7 of this type

    26
    If xx varies as yy, then which of the following is/are correct ? 1. x2+y2x^2 + y^2 varies as x2−y2x^2 - y^2 2. xy2\frac{x}{y^2} varies inversely as yy 3. x2yn\sqrt[n]{x^2 y} varies as x4y22n\sqrt[2n]{x^4 y^2} Select the correct answer using the code given below :

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  5. Question 5

    Number System. Asked once: CDS 1 2021 (same type asked 7 times) See all 7 of this type

    6
    What is the remainder when 2727−152727^{27} - 15^{27} is divided by 6?

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