PYQ Vault
EbooksTutor

Algebraic Identities and Simplification

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 10 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 6 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II, 2 Mar 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 6 of this type

    14
    If x+1x=23x + \frac{1}{x} = 2\sqrt{3}, then find the value of x3+1x3x^3 + \frac{1}{x^3}.

    Tap an option to check your answer.

  2. Question 2

    This type asked 3 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 8 Aug 2022 Tier II. This one: 8 Aug 2022 Tier II See all 3 of this type

    38
    If a + b = 6 and ab = 5, then what is the value of a3+b3a^3 + b^3?

    Tap an option to check your answer.

  3. Question 3

    This type asked 3 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 3 of this type

    23
    If x=32.5x = 32.5, y=34.6y = 34.6 and z=30.9z = 30.9, then the value of x3+y3+z3−3xyzx^3 + y^3 + z^3 - 3xyz is 0.98k0.98k, where k is equal to:

    Tap an option to check your answer.

  4. Question 4

    Asked 2 times: 18 Jan 2025 Tier II*, 20 Jan 2025 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    2
    Simplify (5z−7y)2+(7z+5y)2−49z2(5z - 7y)^2 + (7z + 5y)^2 - 49z^2

    Tap an option to check your answer.

  5. Question 5

    Asked 2 times: 18 Jan 2025 Tier II*, 20 Jan 2025 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    28
    If x=4+6x = 4 + \sqrt{6} and y=4−6y = 4 - \sqrt{6} then the value of x2+y2x^2 + y^2 is:

    Tap an option to check your answer.

  6. Question 6

    This type asked 2 times: 3 Feb 2022 Tier II, 7 Mar 2023 Tier II. This one: 7 Mar 2023 Tier II See all 2 of this type

    30
    The value of 0.7×0.7×0.7+0.3×0.3×0.30.7×0.7−0.7×0.3+0.3×0.3\frac{0.7 \times 0.7 \times 0.7 + 0.3 \times 0.3 \times 0.3}{0.7 \times 0.7 - 0.7 \times 0.3 + 0.3 \times 0.3} is ______.

    Tap an option to check your answer.

  7. Question 7

    This type asked 2 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II. This one: 3 Feb 2022 Tier II See all 2 of this type

    63
    If 27x3−64y3=(Ax+By)(Cx2−Dy2+12xy)27x^3 - 64y^3 = (Ax + By)(Cx^2 - Dy^2 + 12xy), then the value of 4A+B+3C+2D4A + B + 3C + 2D is:

    Tap an option to check your answer.

  8. Question 8

    Asked once: 2 Mar 2023 Tier II (same type asked 6 times) See all 6 of this type

    30
    If 1x+x=4\frac{1}{x} + x = 4, then find 1x2+x2\frac{1}{x^2} + x^2.

    Tap an option to check your answer.

  9. Question 9

    Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    18
    If 2x−y=22x - y = 2 and xy=32xy = \frac{3}{2}, then what is the value of x3−y38x^3 - \frac{y^3}{8}?

    Tap an option to check your answer.

  10. Question 10

    Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    61
    If a+b+c=1a + b + c = 1, ab+bc+ca=−22ab + bc + ca = -22 and abc=−40abc = -40, then what is the value of a3+b3+c3a^3 + b^3 + c^3?

    Tap an option to check your answer.