PYQ Vault
EbooksTutor

Day 255: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2024

    93
    Three identical cones each with base radius 3 cm are placed on their bases so that each is touching the other two. There will be one and only circle that would pass through each of the vertices of the cones. What is the area of the circle ?

    Tap an option to check your answer.

  2. Question 2

    Number System. Asked once: CDS 2 2025

    15
    If nn is natural number less than 7, then what is the number of values of nn for which (12n+2)(12n+2) and (8n+1)(8n+1) are relatively prime?

    Tap an option to check your answer.

  3. Question 3

    Percentage, Profit and Loss. Asked once: CDS 2 2020

    40
    A person sold an article for Rs. 75 which cost him Rs. x. He finds that he realised x% profit on his outlay. What is x equal to ?

    Tap an option to check your answer.

  4. Question 4

    Polynomials. Asked once: CDS 1 2024

    10
    Suppose p(x)=x4+a3x3+a2x2+a1x+a0p(x) = x^4 + a_3 x^3 + a_2 x^2 + a_1 x + a_0 and q(x)=x4+b3x3+b2x2+b1x+b0q(x) = x^4 + b_3 x^3 + b_2 x^2 + b_1 x + b_0 are the polynomials. If α,β,γ,δ\alpha, \beta, \gamma, \delta are zeros of p(x)p(x) and α,β,γ,λ\alpha, \beta, \gamma, \lambda are zeros of q(x)q(x), then what is p(x)−q(x)(x−α)(x−β)(x−γ)\frac{p(x) - q(x)}{(x - \alpha)(x - \beta)(x - \gamma)} equal to ?

    Tap an option to check your answer.

  5. Question 5

    Quadratic Equations. Asked once: CDS 2 2024

    63
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : Can we have a common solution which is prime ? Statement-I : x2−26x+133=0x^2 - 26x + 133 = 0 Statement-II : x2−44x+475=0x^2 - 44x + 475 = 0 Which one of the following is correct in respect of the above Question and the Statements ?

    Tap an option to check your answer.