PYQ Vault
EbooksTutor

x = a + a^(1/3) + a^(2/3) (signs may change): value of a cubic in x

The same question, asked 3 times: CDS 1 2017*, CDS 2 2018*, CDS 2 2026. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    14
    If x=2+22/3+21/3x = 2 + 2^{2/3} + 2^{1/3}, then what is the value of x3−6x2+6xx^3 - 6x^2 + 6x ?

    Tap an option to check your answer.

  2. Question 2

    CDS 2 2018

    3
    If x=2+22/3+21/3x = 2 + 2^{2/3} + 2^{1/3}, then the value of the expression x3−6x2+6xx^3 - 6x^2 + 6x will be

    Tap an option to check your answer.

  3. Question 3

    CDS 2 2026

    30
    If x=3−31/3−32/3x = 3 - 3^{1/3} - 3^{2/3}, then what is x(x−3)(x−6)x(x - 3)(x - 6) equal to ?

    Tap an option to check your answer.