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Cubes and Cube Roots MATHS - Cubes and Cube Roots

Gujarat Board (GSEB) - STD 8 - MATHS (GSEB - English Medium). 87 questions in this chapter.

Question types

Cubes and Cube Roots question types

87 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

87
Questions
5
Question groups
5
Question types
Sample Questions

Cubes and Cube Roots questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 6Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If $x$ and $y$ are integers such that $x^2>y^2$ then $x^3>y^3$.
Reason (R): Squares of negative integers are positive while their cubes are negative.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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Q 7Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): $\left[(-1)^3 \times 2^3 \times(-3)^3 \times 4^3\right]$ is a positive number.
Reason (R): The cube of a negative number is negative while that of a positive number is positive.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Q 8Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Each one of $(11)^3,(17)^3$ and $(19)^3$ has only 3 factors in all.
Reason (R): The cube of a prime number always has 3 factors in all namely, 1 , the prime number and the number itself.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: A.

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Q 9Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): $3^3>3,(10)^3>10,\left(\frac{6}{5}\right)^3>\frac{6}{5}$
Reason (R): The cube of a rational number is always greater than the number.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.

Answer: C.

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Q 10Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): $\left(1 \frac{1}{5}\right)^3=1 \frac{1}{125}$
Reason (R): To find the cube of a mixed fraction, we need to convert it into an improper fraction before finding its cube.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.

Answer: D.

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