\(x=y=z\)
Column A: \(x^3\)
Column B: \(xyz\)
Column A: \(x^3\)
Column B: \(xyz\)
Show Hint
- Quantity A is greater
- Quantity B is greater
- The two quantities are equal
- The relationship cannot be determined from the information given
The Correct Option is C
Solution and Explanation
This quantitative comparison question asks us to compare two algebraic expressions given a condition about the variables. The key is to use substitution.
Step 2: Detailed Explanation:
We are given the condition that \(x=y=z\).
Column A is given as \(x^3\).
Column B is given as \(xyz\).
We can substitute \(x\) for both \(y\) and \(z\) in the expression for Column B.
\[ xyz = x \cdot x \cdot x = x^3 \] After substitution, the expression in Column B is identical to the expression in Column A.
Step 3: Comparing the Quantities:
Column A: \(x^3\)
Column B: \(x^3\)
The two quantities are equal.
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