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Day 256: CDS Maths

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

  1. Question 1

    Quadrilaterals. Asked once: CDS 2 2025

    69
    Let XX, YY and ZZ be the midpoints of the sides BCBC, CACA and ABAB of a triangle ABCABC respectively. Consider the following statements : I. The quadrilateral AZXYAZXY is a parallelogram. II. The area of the quadrilateral AZXYAZXY is half of the area of the triangle ABCABC. Which of the statements given above is/are correct?

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 2 2021

    41
    If pp varies directly as qq and inversely as square of rr, what is the percentage increase in pp due to an increase in qq by 20% and a decrease in rr by 20% ?

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  3. Question 3

    Sequence and Series. Asked once: CDS 2 2017

    97
    The geometric mean of x and y is 6 and the geometric mean of x, y and z is also 6. Then the value of z is

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  4. Question 4

    Sets. Asked once: CDS 1 2019

    99
    If X={a,{b},c}X = \{a, \{b\}, c\}, Y={{a},b,c}Y = \{\{a\}, b, c\} and Z={a,b,{c}}Z = \{a, b, \{c\}\}, then (X∩Y)∩Z(X \cap Y) \cap Z equals to

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  5. Question 5

    Simple and Compound Interest. Asked once: CDS 2 2019

    45
    A person divided a sum of Rs. 17,200 into three parts and invested at 5%, 6% and 9% per annum simple interest. At the end of two years, he got the same interest on each part of money. What is the money invested at 9% ?

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