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Day 303: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2024

    30
    If 11x+5y11x + 5y is a prime number where xx, yy are natural numbers then what is the minimum value of (x+y)(x + y) ?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 1 2019

    71
    If the sum of a real number and its reciprocal is 265\frac{26}{5}, then how many such numbers are possible ?

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  3. Question 3

    Quadrilaterals. Asked once: CDS 2 2017

    69
    If a point O in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D, then OB2+OD2OB^2 + OD^2 will be equal to

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 2 2018

    19
    If a=xyp−1a = xy^{p-1}, b=yzq−1b = yz^{q-1}, c=zxr−1c = zx^{r-1}, then aq−rbr−pcp−qa^{q-r} b^{r-p} c^{p-q} is equal to

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  5. Question 5

    Triangles. Asked once: CDS 2 2023

    57
    A triangle has sides 13 cm, 14 cm and 15 cm long. What is the length of the smallest altitude of the triangle ?

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