Question : What is the smallest two-digit perfect cube?
Option 1: 25
Option 2: 27
Option 3: 16
Option 4: 64
Correct Answer: 27
Solution :
⇒ 25
1/3
= 5
2/3
This is not a perfect cube.
⇒ 27
1
/3
= 3
3/3
= 3
This is a perfect cube.
⇒ 16
1/3
= 2
4/3
= 2 × (2
1/3
)
This is not a perfect cube.
⇒ 64
1/3
= 4
3/3
= 4
This is a perfect cube.
Thus, 27 and 64 are perfect cubes of numbers and 27 is the smallest.
Hence, the correct answer is 27.
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