PYQ Vault

Day 265: CDS Maths

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

  1. Question 1

    Percentage, Profit and Loss. Asked once: CDS 1 2019

    83
    A person sells two items each at Rs. 990, one at a profit of 10% and another at a loss of 10%. What is the combined percentage of profit or loss for the two items ?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2023

    20
    If xn−pyn+qznx^n - py^n + qz^n is divisible by x2+abyz−bzx−axyx^2 + abyz - bzx - axy, then what is pan−qbn\dfrac{p}{a^n} - \dfrac{q}{b^n} equal to ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 2 2024

    61
    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 integral value of kk for which the expression 4x2−kx+14x^2 - kx + 1 is positive ? Statement-I : k<−2k < -2 Statement-II : k>−4k > -4 Which one of the following is correct in respect of the above Question and the Statements ?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 1 2023

    57
    OABC is a rhombus whose three vertices lie on a circle with centre at O. If the area of the rhombus is 32332\sqrt{3} square cm, then what is the radius of the circle ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2019

    23
    The train fare and bus fare between two stations is in the ratio 3 : 4. If the train fare increases by 20% and bus fare increases by 30%, then what is the ratio between revised train fare and revised bus fare ?

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