PYQ Vault

Day 76: CDS Maths

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

  1. Question 1

    Mensuration 3D. This type asked 2 times: CDS 2 2020, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type

    83
    Let x, y, z be the length, breadth, height of a cuboid. If its volume is 400 cubic cm and total surface area is 340 square cm, then what is x−1+y−1+z−1x^{-1} + y^{-1} + z^{-1} equal to ?

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  2. Question 2

    Polynomials. This type asked 2 times: CDS 2 2020, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type

    29
    Consider the question and two statements given below : Question : Is (xn+yn)(x^n + y^n) divisible by (x+y)(x + y) ? Statement-1 : n is a natural number. Statement-2 : n is an even natural number. Which one of the following is correct in respect of the question and the statements ?

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  3. Question 3

    Quadrilaterals. This type asked 2 times: CDS 2 2019, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type

    98
    ABCD is a trapezium in which AB is parallel to DC. The vertices A, B, C and D pass through a circle. Which of the following are correct ? 1. AD = BC 2. ∠A+∠C=180∘\angle A + \angle C = 180^\circ 3. ∠A+∠D=180∘\angle A + \angle D = 180^\circ Select the correct answer using the code given below :

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  4. Question 4

    Triangles. This type asked 2 times: CDS 2 2017, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type

    100
    In a triangle ABC, DE is a line segment which intersects AB at D and AC at E such that DE is parallel to BC. The line segment divides the triangle in two parts of equal area. What is BDAB\frac{BD}{AB} equal to ?

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  5. Question 5

    Triangles. This type asked 2 times: CDS 2 2021, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type

    87
    A right-angled triangle ABC is inscribed in a circle of radius 10 cm. The altitude drawn to the hypotenuse AC is of length 8 cm. If AB = x cm and BC = y cm, then what is the value of xy ?

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