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Day 177: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2016 (same type asked 3 times) See all 3 of this type

    57
    Rain water from a roof 22 m×20 m22\ \text{m} \times 20\ \text{m} drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, what is the rainfall ?

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  2. Question 2

    Number System. Asked once: CDS 1 2017 (same type asked 3 times) See all 3 of this type

    48
    (Np−1−1)(N^{p-1} - 1) is a multiple of pp, if NN is prime to pp and pp is a

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  3. Question 3

    Quadratic Equations. Asked once: CDS 1 2019 (same type asked 3 times) See all 3 of this type

    19
    If the equations x2+5x+6=0x^2 + 5x + 6 = 0 and x2+kx+1=0x^2 + kx + 1 = 0 have a common root, then what is the value of kk ?

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: CDS 1 2018 (same type asked 3 times) See all 3 of this type

    42
    An alloy A contains two elements, copper and tin in the ratio of 2:32 : 3, whereas an alloy B contains the same elements in the ratio of 3:43 : 4. If 20 kg of alloy A, 28 kg of alloy B and some more pure copper are mixed to form a third alloy C which now contains copper and tin in the ratio of 6:76 : 7, then what is the quantity of pure copper mixed in the alloy C?

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  5. Question 5

    Triangles. Asked once: CDS 1 2017 (same type asked 3 times) See all 3 of this type

    94
    In the figure given below, ∠A=80∘\angle A = 80^\circ and ∠ABC=60∘\angle ABC = 60^\circ. BD and CD bisect angles B and C respectively. What are the values of x and y respectively ?

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