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Day 107: CDS Maths

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    28
    The incomes of AA, BB and CC are in the ratio 7:9:127 : 9 : 12 and their expenditures are in the ratio 8:9:158 : 9 : 15. If AA's saving is one-fourth of his income, then the ratio of savings of AA, BB and CC is

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    78
    Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    32
    What are the values of k for which the polynomial (k−3)x2−kx−1(k - 3)x^2 - kx - 1 has no real linear factors ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    15
    If a, b and c are positive integers such that 1a+1b+1c+12=1623\cfrac{1}{a + \cfrac{1}{b + \cfrac{1}{c + \cfrac{1}{2}}}} = \frac{16}{23}, then what is the mean of a, b and c ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    10
    What is 1x(x−y)(x−z)+1y(y−z)(y−x)+1z(z−x)(z−y)\frac{1}{x(x - y)(x - z)} + \frac{1}{y(y - z)(y - x)} + \frac{1}{z(z - x)(z - y)} equal to ?

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