Test Index

RRB ALP CBT I 17 Feb 2026 Shift 1 Paper

Question : 65 of 75

Marks: +1, -0

(\frac{\sqrt[3]{2744}}{\sqrt[4]{4096}})\times \frac{4}{42}\times 84

Solution:

Concept:

Simplify the radicals first, then cancel the fractions to get the final value.

Explanation:

Step 1: Evaluate

\sqrt[3]{2744}

. Since

2744 = 14^3

, we get

\sqrt[3]{2744} = 14

Step 2: Evaluate

\sqrt[4]{4096}

. Since

4096 = 8^4

, we get

\sqrt[4]{4096} = 8

Step 3: Substitute into the expression:

\left(\frac{14}{8}\right)\times\frac{4}{42}\times84

Step 4: Rearrange for easy cancellation:

\left(\frac{14}{42}\right)\times\left(\frac{4}{8}\right)\times84

Step 5: Simplify the fractions:

\frac{14}{42}=\frac{1}{3}

and

\frac{4}{8}=\frac{1}{2}

Step 6: Multiply:

\frac{1}{3}\times\frac{1}{2}\times84 = \frac{84}{6} = 14

Answer:

14

(Option D).

Go to Question:

Prev Question

Next Question