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Day 241: CDS Maths

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

  1. Question 1

    Sequence and Series. Asked once: CDS 1 2022

    30
    The arithmetic mean and the geometric mean of two positive numbers pp and qq (p>q)(p > q) are AA and GG respectively. Which one of the following is correct?

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  2. Question 2

    Sets. Asked once: CDS 2 2024

    98
    In a class of 160 students, each of them opt at least one language from among English, Hindi and Sanskrit. It is found that 130 students opt English, 120 students Hindi and 110 Sanskrit. If the students opt either only one language or all three languages, then what is the number of students who study all three languages ?

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  3. Question 3

    Simple and Compound Interest. Asked once: CDS 1 2023

    19
    In a business dealing, A owes B Rs. 20,000 payable after 5 years, whereas B owes A Rs. 12,000 payable after 4 years. They want to settle it now at the rate of 5% simple interest. Who gives how much money in this settlement?

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  4. Question 4

    Statistics. Asked once: CDS 2 2020

    94
    When the class intervals have equal width, the height of a rectangle in a histogram represents

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  5. Question 5

    Surds, Indices and Simplification. Asked once: CDS 2 2025

    22
    If ab=baa^b=b^a, then what is a×(ab)aba(ab)\frac{a\times\left(\frac{a}{b}\right)^{\frac{a}{b}}}{a^{\left(\frac{a}{b}\right)}} equal to?

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