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Day 82: CDS Maths

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

  1. Question 1

    Mensuration 2D. This type asked 2 times: CDS 2 2019, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    89
    ABCDABCD is a quadrilateral such that AD=DC=CA=20AD = DC = CA = 20 units, BC=12BC = 12 units and ∠ABC=90∘\angle ABC = 90^\circ. What is the approximate area of the quadrilateral ABCDABCD ?

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  2. Question 2

    Number System. This type asked 2 times: CDS 2 2018, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    43
    Let XYZXYZ be a 3-digit number. Let S=XYZ+YZX+ZXYS = XYZ + YZX + ZXY. Which of the following statements is/are correct? 1. SS is always divisible by 3 and (X+Y+Z)(X + Y + Z) 2. SS is always divisible by 9 3. SS is always divisible by 37 Select the correct answer using the code given below:

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  3. Question 3

    Number System. This type asked 2 times: CDS 2 2017, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    6
    If the sum of the digits of a number 10n−110^{n} - 1, where nn is a natural number, is equal to 3798, then what is the value of nn ?

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  4. Question 4

    Surds, Indices and Simplification. This type asked 2 times: CDS 1 2018, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    19
    What is 1am−n−1+1an−m−1\frac{1}{a^{m-n} - 1} + \frac{1}{a^{n-m} - 1} equal to ?

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  5. Question 5

    Triangles. This type asked 2 times: CDS 2 2019, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    85
    A ladder 5 m long is placed in a room so as to reach a point 4.84.8 m high on a wall and on turning the ladder over to the opposite side of the wall without moving the base, it reaches a point 1.41.4 m high. What is the breadth of the room ?

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