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Day 221: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2016 (same type asked 7 times) See all 7 of this type

    97
    What is the remainder when 135+145+155+16513^5 + 14^5 + 15^5 + 16^5 is divided by 29 ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2017 (same type asked 8 times) See all 8 of this type

    48
    If sin⁡θ=m2−n2m2+n2\sin \theta = \frac{m^2 - n^2}{m^2 + n^2} and 0<θ<π20 < \theta < \frac{\pi}{2}, then what is the value of cos⁡θ\cos \theta ?

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  3. Question 3

    Number System. Asked once: CDS 2 2020 (same type asked 8 times) See all 8 of this type

    11
    If 17202017^{2020} is divided by 18, then what is the remainder ?

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  4. Question 4

    Number System. Asked once: CDS 2 2019 (same type asked 8 times) See all 8 of this type

    33
    The number 35213^{521} is divided by 8. What is the remainder ?

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  5. Question 5

    Number System. Asked once: CDS 1 2017 (same type asked 8 times) See all 8 of this type

    8
    What is the remainder when the number (4444)4444(4444)^{4444} is divided by 9 ?

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