Which of the following is a perfect square as well as a cube? [SSC (CGL) 2015] |
343, 125, 81 or 64 |
A) 81
B) 343
C) 125
D) 64
Correct Answer: D
Solution :
\[343=7\times 7\times 7={{7}^{3}}\]\[\Rightarrow \]\[125={{5}^{3}}\]\[\Rightarrow \]\[81={{3}^{4}}\] |
\[64=8\times 8={{8}^{2}}\]or \[{{(4)}^{3}}\] |
\[\therefore \]64 is a perfect square of 8 as well as a perfect cube of 4. |
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