Which number does not belong in the set?
Show answer & explanation
Correct answer: D
Explanation
2744 = 14³
1728 = 12³
4096 = not 16³, but 16³ (= 2¹²)
313 = neither a perfect cube nor a perfect power
Here, 2744 and 1728 are perfect cubes.
4096 is also a perfect power, while 313 does not occur as a perfect square, perfect cube, or common perfect power.
Correct answer: 313