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Day 309: CDS Maths

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: CDS 1 2017

    36
    Which one among the following is the largest ?

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  2. Question 2

    Triangles. Asked once: CDS 2 2022

    79
    In a triangle ABC, ∠A=60∘\angle A = 60^\circ. What is AB2+AC2−BC2AB^2 + AC^2 - BC^2 equal to ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2023

    50
    What is the value of xx that satisfies 4cos⁡230∘+2xsin⁡30∘−cot⁡230∘−6tan⁡15∘tan⁡75∘=04\cos^2 30^\circ + 2x\sin 30^\circ - \cot^2 30^\circ - 6\tan 15^\circ \tan 75^\circ = 0 ?

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: CDS 1 2022

    43
    Consider a question and two statements : Question : Is a2+b2+c2−ab−bc−caa^2 + b^2 + c^2 - ab - bc - ca (aa, bb, cc are distinct real numbers) always positive? Statement-I : a>b>ca > b > c Statement-II : a+b+c=0a + b + c = 0 Which one of the following is correct in respect of the question and the statements?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2022

    93
    What is the time taken by a person to cover one round of a circular park of diameter 210 m if he walks at a speed of 6 km/hr ? (π=227)(\pi = \frac{22}{7})

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