PYQ Vault

Day 128: CDS Maths

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

  1. Question 1

    Quadrilaterals. Asked once: CDS 2 2025 (same type asked 2 times) See all 2 of this type

    86
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : ABCDABCD is a parallelogram with ∠ABC=60∘\angle ABC = 60^\circ. If the area of the parallelogram is 737\sqrt{3} square units, then what is the perimeter of the parallelogram? Statement-I : The lengths of the sides ABAB and DADA are prime numbers. Statement-II : The lengths of the sides are natural numbers each greater than 1 unit. Which one of the following is correct in respect of the above Question and the Statements?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 1 2025 (same type asked 2 times) See all 2 of this type

    21
    If 2sin⁡4α+2cos⁡4α−1=02 \sin^4 \alpha + 2 \cos^4 \alpha - 1 = 0, where 0≤α<π/20 \le \alpha < \pi/2, then what is sin⁡2α+cos⁡2α\sin 2\alpha + \cos 2\alpha equal to ?

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  3. Question 3

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

    32
    If ab+c=bc+a=ca+b\frac{a}{b + c} = \frac{b}{c + a} = \frac{c}{a + b}, then which one of the following statements is correct ?

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  4. Question 4

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

    84
    The chord of a circle is 3\sqrt{3} times its radius. The angle subtended by this chord at the minor arc is k times the angle subtended at the major arc. What is the value of k ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2021 (same type asked 2 times) See all 2 of this type

    65
    The minute hand of a clock is 21 cm long. What is the area on the face of the clock described by the minute hand between 10.10 a.m and 10.30 a.m ? (take π=227\pi = \frac{22}{7})

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