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Day 102: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2025 (same type asked 4 times) See all 4 of this type

    73
    A circle is inscribed in an equilateral triangle. The radius of the circle is 2 cm. What is the area of the triangle ?

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  2. Question 2

    Simple and Compound Interest. Asked once: CDS 1 2025 (same type asked 4 times) See all 4 of this type

    76
    How much will Rs. 10,000 amount to in one year's time at 4% rate of interest per annum if the interest is compounded once in every three months ? (take approximate value)

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  3. Question 3

    Surds, Indices and Simplification. Asked once: CDS 2 2025 (same type asked 4 times) See all 4 of this type

    28
    If p=5−25+2p=\frac{\sqrt{5}-2}{\sqrt{5}+2} and q=5+25−2q=\frac{\sqrt{5}+2}{\sqrt{5}-2}, then what is (pq+qp)\left(\frac{p}{q}+\frac{q}{p}\right) equal to?

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  4. Question 4

    Triangles. Asked once: CDS 1 2026 (same type asked 4 times) See all 4 of this type

    55
    ABC is a triangle right-angled at C. Let P be the midpoint of BC. If AP=413AP = 4\sqrt{13} cm and AB=20AB = 20 cm, then what is the perimeter of the triangle ABC ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    55
    If x=psin⁡Acos⁡Bx=p\sin A\cos B, y=psin⁡Asin⁡By=p\sin A\sin B and z=pcos⁡Az=p\cos A, then what is the value of x2+y2+z2x^2+y^2+z^2 ?

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