PYQ Vault

Day 289: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2021

    75
    A solid rod consists of a cylinder of height 20 cm and radius 7 cm. It is surmounted by another solid cylinder of height 10 cm and radius 3.5 cm. If 1 cubic metre of rod weighs 10000 kg, what is the mass of the rod ? (take π=227\pi = \frac{22}{7})

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  2. Question 2

    Number System. Asked once: CDS 2 2024

    68
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : There are three different weights. All the weights are integers and their sum is a prime number. What are the weights ? Statement-I : One of the weights is twice the another weight Statement-II : One of the weights is thrice the another weight Which one of the following is correct in respect of the above Question and the Statements ?

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  3. Question 3

    Polynomials. Asked once: CDS 1 2019

    56
    The quotient when x4−x2+7x+5x^4 - x^2 + 7x + 5 is divided by (x+2)(x + 2) is ax3+bx2+cx+dax^3 + bx^2 + cx + d. What are the values of aa, bb, cc and dd respectively ?

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  4. Question 4

    Quadratic Equations. Asked once: CDS 1 2022

    37
    A piece of cloth costs Rs. 10,000. If a 2 m longer piece of the same cloth is purchased for the same amount, it would cost Rs. 250 less per metre. What is the original length of the piece of cloth?

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  5. Question 5

    Quadrilaterals. Asked once: CDS 1 2020

    100
    Consider the following statements with reference to the given figure: 1. The sum of the areas of △AOD\triangle AOD and △BOC\triangle BOC is equal to the sum of the areas of △AOB\triangle AOB and △DOC\triangle DOC. 2. ∠AOD=∠BOC\angle AOD = \angle BOC 3. AB+BC+CD+DA>AC+BDAB + BC + CD + DA > AC + BD Which of the above statements are correct?

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