What is the cube root of \(\frac{-1331}{4096}?\)

This question was previously asked in
OSSSC RI/ ARI/ Amin (Mathematics) 2015 Official Paper-II (Held On: 7th Feb 2016)
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  1. \(-\frac{11}{36}\)
  2. \(-\frac{21}{16}\)
  3. \(\frac{21}{26}\)
  4. \(-\frac{11}{16}\)

Answer (Detailed Solution Below)

Option 4 : \(-\frac{11}{16}\)

Detailed Solution

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The cube root of -1331/4096 is calculated as follows:

Cube root of -1331 is -11 because (-11 × -11 × -11) = -1331 Cube root of 4096 is 16 because (16 × 16 × 16) = 4096

Therefore, the cube root of -1331/4096 = -11/16.

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