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Day 287: CDS Maths

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: CDS 1 2020

    20
    If x=2x = \sqrt{2}, y=33y = \sqrt[3]{3} and z=66z = \sqrt[6]{6}, then which one of the following is correct ?

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  2. Question 2

    Time, Speed and Distance. Asked once: CDS 2 2017

    12
    If a train crosses a km-stone in 12 seconds, how long will it take to cross 91 km-stones completely if its speed is 60 km/hr ?

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  3. Question 3

    Triangles. Asked once: CDS 1 2025

    74
    The sides of a triangle are k, 1.5k and 2.25k. What is the sum of the squares of its medians ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 2 2024

    35
    Let ABCABC be a triangle with area 36 square cm. If AB=9AB = 9 cm, BC=12BC = 12 cm and ∠ABC=θ\angle ABC = \theta, then what is cos⁡θ\cos\theta equal to ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 2 2023

    63
    If a, b and c are the sides of a right-angled triangle, where a > b > c, then what is the value of the expression (a+b+c)(a+b−c)(a−b+c)(a−b−c)(a + b + c) (a + b - c) (a - b + c) (a - b - c) ?

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