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Day 230: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 2 2026

    22
    If the roots of the equation px2−40x+96=0px^2 - 40x + 96 = 0 are even integers, then what is the value of p ?

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  2. Question 2

    Quadrilaterals. Asked once: CDS 1 2026

    53
    In a quadrilateral ABCD, the diagonals intersect at O. Let the area of the triangle ABD be p. If AO:OC=m:nAO : OC = m : n, then what is the area of the triangle BCD ?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: CDS 2 2026

    2
    If pq=qr=rs=k\frac{p}{q} = \frac{q}{r} = \frac{r}{s} = k, then what is p3+q3+r3q3+r3+s3\frac{p^3 + q^3 + r^3}{q^3 + r^3 + s^3} equal to ?

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  4. Question 4

    Sequence and Series. Asked once: CDS 1 2025

    2
    What is the sum of all 3-digit numbers that give a remainder of 5 when they are divided by 50 ?

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  5. Question 5

    Sets. Asked once: CDS 2 2026

    32
    Consider the following sets : I. The set of even prime numbers II. {x∈R:x3+1=0}\{x \in \mathbb{R} : x^3 + 1 = 0\} III. {n∈Z:n2<1}\{n \in \mathbb{Z} : n^2 < 1\} How many of the above are null sets ?

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