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Day 220: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 1 2018 (same type asked 9 times) See all 9 of this type

    39
    The age of a woman is a two-digit integer. On reversing this integer, the new integer is the age of her husband who is elder to her. The difference between their ages is one-eleventh of their sum. What is the difference between their ages?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2020 (same type asked 9 times) See all 9 of this type

    31
    What is the HCF of the polynomials x6−3x4+3x2−1x^6 - 3x^4 + 3x^2 - 1 and x3+3x2+3x+1x^3 + 3x^2 + 3x + 1 ?

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  3. Question 3

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

    46
    If a triangle has sides 5, 13 and 12 units and θ\theta is the acute angle of the triangle, then what is the value of (sin⁡θ+cos⁡θ)(\sin \theta + \cos \theta) ?

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  4. Question 4

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

    7
    What is the remainder when the sum 15+25+35+45+551^5 + 2^5 + 3^5 + 4^5 + 5^5 is divided by 4 ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2016 (same type asked 7 times) See all 7 of this type

    77
    If sin⁡θ+cos⁡θ=1+32\sin\theta + \cos\theta = \frac{1 + \sqrt{3}}{2} where 0<θ<π20 < \theta < \frac{\pi}{2}, then what is tan⁡θ+cot⁡θ\tan\theta + \cot\theta equal to ?

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