PYQ Vault

Day 146: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Mensuration 2D. Asked once: CDS 2 2016 (same type asked 2 times) See all 2 of this type

    61
    The sides of a triangle are given by a2+b2\sqrt{a^2 + b^2}, c2+a2\sqrt{c^2 + a^2} and (b+c)(b + c) where aa, bb, cc are positive. What is the area of the triangle equal to ?

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  2. Question 2 (case study, 3 parts)

    Mensuration 2D. Asked once: CDS 2 2019 (same type asked 2 times) See all 2 of this type

    Consider the following for the next three (03) items : ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right-angle.
    94
    What is the area of triangle ADC ?

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    95
    What is the area of quadrilateral ABCD ?

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    96
    What is the difference between perimeter of triangle ABC and perimeter of triangle ADC ?

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  3. Question 3

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

    17
    Consider the following statements in respect of three 3-digit numbers XYZ, YZX and ZXY : 1. The sum of the numbers is not divisible by (X + Y + Z). 2. The sum of the numbers is divisible by 111. Which of the above statements is/are correct ?

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  4. Question 4

    Number System. Asked once: CDS 2 2017 (same type asked 2 times) See all 2 of this type

    4
    If x=111…1x = 111 \ldots 1 (20 digits), y=333…3y = 333 \ldots 3 (10 digits) and z=222…2z = 222 \ldots 2 (10 digits), then what is x−y2z\frac{x - y^2}{z} equal to ?

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  5. Question 5

    Surds, Indices and Simplification. Asked once: CDS 1 2018 (same type asked 2 times) See all 2 of this type

    19
    What is the value of 11+xb−a+xc−a+11+xa−b+xc−b+11+xa−c+xb−c\frac{1}{1 + x^{b-a} + x^{c-a}} + \frac{1}{1 + x^{a-b} + x^{c-b}} + \frac{1}{1 + x^{a-c} + x^{b-c}} where x≠0x \ne 0?

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