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Day 217: CDS Maths

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

  1. Question 1

    Polynomials. Asked once: CDS 2 2022 (same type asked 9 times) See all 9 of this type

    5
    What is the HCF of (x8−y8)(x^8 - y^8) and (x7−y7+x5y2−x2y5)(x^7 - y^7 + x^5y^2 - x^2y^5) ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2019 (same type asked 8 times) See all 8 of this type

    51
    If tan⁡x=1\tan x = 1, 0<x<90∘0 < x < 90^\circ, then what is the value of 2sin⁡xcos⁡x2 \sin x \cos x ?

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  3. Question 3

    Number System. Asked once: CDS 2 2021 (same type asked 8 times) See all 8 of this type

    4
    What is the remainder after dividing the number 37100037^{1000} by 9 ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 1 2018 (same type asked 7 times) See all 7 of this type

    62
    If sin⁡A+cos⁡A=p\sin A + \cos A = p and sin⁡3A+cos⁡3A=q\sin^3 A + \cos^3 A = q, then which one of the following is correct ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2020 (same type asked 7 times) See all 7 of this type

    24
    If xx varies as yzyz, then yy varies inversely as

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