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Day 106: CDS Maths

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

  1. Question 1

    Averages. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    95
    The ages of 7 family members are 2, 5, 12, 18, 38, 40 and 60 years respectively. After 5 years a new member aged xx years is added. If the mean age of the family now goes up by 1.5 years, then what is the value of xx ?

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  2. Question 2

    Heights and Distances. Asked once: CDS 1 2024 (same type asked 4 times) See all 4 of this type

    53
    The angles of elevation of the top of a tower from two points A and B at a distance of x m and (x+5)(x + 5) m from the base of the tower of height 6 m and in the same straight line with it are complementary. What is the value of x ?

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  3. Question 3

    Number System. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    6
    If the number 23P62971335 is divisible by the smallest odd composite number, then what is the value of P ?

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  4. Question 4

    Percentage, Profit and Loss. Asked once: CDS 1 2023 (same type asked 4 times) See all 4 of this type

    66
    If the length of a rectangle is increased by 6623%66\frac{2}{3}\%, then by what percent should the width of the rectangle be decreased in order to maintain the same area ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 2 2023 (same type asked 4 times) See all 4 of this type

    64
    The cube root of x varies inversely as the square root of y. x = 8 when y = 3. What is the value of x when y=33y = \sqrt[3]{3} ?

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