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Day 147: CDS Maths

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

  1. Question 1

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

    86
    A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder ?

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  2. Question 2

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

    58
    What is the value of sin⁡225∘+sin⁡265∘\sin^2 25^\circ + \sin^2 65^\circ ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    64
    What is the value of sin⁡x11+cos⁡x+11−cos⁡x\sin x \sqrt{\frac{1}{1 + \cos x} + \frac{1}{1 - \cos x}} ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    88
    The radius of a circle is increased so that its circumference increases by 15%. The area of the circle will increase by

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  5. Question 5

    Polynomials. Asked once: CDS 1 2018 (same type asked 2 times) See all 2 of this type

    43
    A quadratic polynomial ax2+bx+cax^2 + bx + c is such that when it is divided by xx, (x−1)(x - 1) and (x+1)(x + 1), the remainders are 3, 6 and 4 respectively. What is the value of (a+b)(a + b)?

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