PYQ Vault

Day 231: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Simple and Compound Interest. Asked once: CDS 2 2024

    69
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : What is the amount at the end of 10 years ? Statement-I : The principal amount is Rs. 1,00,000 Statement-II : Rate of interest is 10% per annum Which one of the following is correct in respect of the above Question and the Statements ?

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  2. Question 2 (case study, 2 parts)

    Statistics. Asked once: CDS 2 2025

    For the following two (02) items : Consider the following distribution having median value 24 :
    MarksNumber of Students
    Less than 105
    Less than 2030
    Less than 3030+k30 + k
    Less than 4048+k48 + k
    Less than 5055+k55 + k
    99
    What is the value of kk?

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    100
    What is the mean of the distribution?

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  3. Question 3

    Surds, Indices and Simplification. Asked once: CDS 1 2026

    78
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : Is (0.5)n+(0.5)−n(0.5)^n + (0.5)^{-n} always greater than 2, where n is an integer ? Statement-I : n is an even integer Statement-II : n is negative Which one of the following is correct in respect of the above Question and the Statements ?

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  4. Question 4

    Time and Work. Asked once: CDS 2 2023

    7
    Three persons A, B and C together can do a piece of work in 36 days. A and B together can do five times as much work as C alone; B and C together can do as much work as A alone. If A and C together can do n times as much work as B alone, then what is the value of n ?

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  5. Question 5

    Time, Speed and Distance. Asked once: CDS 1 2026

    18
    A person goes downstream at x km/h and upstream at y km/h by the same boat. What is the ratio of speed of boat in still water to speed of water ?

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