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Day 59: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2016, CDS 2 2019 See all 2 times it was asked

    55
    What is the value of tan⁡1∘tan⁡2∘tan⁡3∘………tan⁡89∘\tan 1^\circ \tan 2^\circ \tan 3^\circ \ldots\ldots\ldots \tan 89^\circ ?

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  2. Question 2

    Quadratic Equations. Asked 2 times: CDS 2 2016, CDS 1 2019 See all 2 times it was asked

    89
    The equation x2+px+q=0x^2 + px + q = 0 has roots equal to pp and qq where q≠0q \ne 0. What are the values of pp and qq respectively ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2018*, CDS 1 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    32
    If cos⁡2x+cos⁡x=1\cos^2 x + \cos x = 1, then what is the value of sin⁡12x+3sin⁡10x+3sin⁡8x+sin⁡6x\sin^{12} x + 3\sin^{10} x + 3\sin^{8} x + \sin^{6} x ?

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  4. Question 4

    Number System. Asked 2 times: CDS 1 2018*, CDS 2 2018 (* = numbers or wording changed that year) See all 2 times it was asked

    13
    The product of two integers p and q, where p > 60 and q > 60, is 7168 and their HCF is 16. The sum of these two integers is

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  5. Question 5

    Surds, Indices and Simplification. Asked 2 times: CDS 1 2018, CDS 2 2018 See all 2 times it was asked

    2
    If x=yax = y^a, y=zby = z^b and z=xcz = x^c, then the value of abc is

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