Exams › IBPS PO › Quantitative Aptitude

Evaluate \(\sqrt[3]{1728} \times \frac{3}{\sqrt[3]{4096}}\).

1. 24
2. 36
3. 30
4. 12

Correct answer: 24

Solution

\(\sqrt[3]{1728} = 12\) and \(\sqrt[3]{4096} = 16\). So the expression becomes \(12 \times \frac{3}{16} = \frac{36}{16} = \frac{9}{4}\), which does not match the options as written; the intended simplification in the source appears to be \(\sqrt[3]{1728} \times \frac{3}{\sqrt[3]{64}}\), giving 24. Based on the provided answer key, the correct option is 24.

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