PYQ Vault

Day 56: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2020*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    46
    What is the least value of 3sin⁡2θ+4cos⁡2θ3\sin^2 \theta + 4\cos^2 \theta ?

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  2. Question 2

    Algebraic Identities and Simplification. Asked 2 times: CDS 2 2018*, CDS 2 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    14
    The sum of all possible products taken two at a time out of the numbers ±1,±2,±3,±4,±5\pm 1, \pm 2, \pm 3, \pm 4, \pm 5 is

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  3. Question 3

    Averages. Asked 2 times: CDS 2 2016*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    34
    In a class room the ratio of number of girls to that of boys is 3:43 : 4. The average height of students in the class is 4.6 feet. If the average height of the boys in the class is 4.8 feet, then what is the average height of the girls in the class ?

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  4. Question 4

    Circles. Asked 2 times: CDS 2 2019*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    70
    In a circle of radius 5 cm, ABAB and ACAC are two chords such that AB=AC=8AB = AC = 8 cm. What is the length of chord BCBC ?

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  5. Question 5

    Linear Equations. Asked 2 times: CDS 2 2017*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    26
    What is the point on the xyxy-plane satisfying 5x+2y=7xy5x + 2y = 7xy and 10x+3y=8xy10x + 3y = 8xy ?

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