PYQ Vault

Day 286: CDS Maths

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

  1. Question 1

    Polynomials. Asked once: CDS 1 2019

    16
    For what value of kk can the expression x3+kx2−7x+6x^3 + kx^2 - 7x + 6 be resolved into three linear factors ?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 1 2022

    42
    Consider a question and two statements : Question : Does the equation ax2+bx+c=0ax^2 + bx + c = 0 have real roots of opposite sign? Statement-I : The discriminant D>0D > 0 Statement-II : c/a>0c/a > 0 Which one of the following is correct in respect of the question and the statements?

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  3. Question 3

    Quadrilaterals. Asked once: CDS 1 2020

    78
    ABCDABCD is a parallelogram where ACAC and BDBD are the diagonals. If ∠BAD=60∘\angle BAD = 60^\circ, ∠ADB=90∘\angle ADB = 90^\circ, then what is BD2BD^2 equal to ?

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: CDS 1 2018

    50
    A, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A's contribution, B contributes one-third of E's contribution and C contributes two-third of A's contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is Rs. 13,500, what is the combined share of B, C and E? (The shares are supposed to be proportional to the contributions)

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  5. Question 5

    Statistics. Asked once: CDS 1 2017

    55
    In an asymmetrical distribution, if the mean and median of the distribution are 270 and 220 respectively, then the mode of the data is

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