Choose the odd number from the given alternatives.
- A64
- B125
- C196
- D216
Solution & Step-by-step Explanation
Let's check the mathematical properties of each number:
64=4
3
=8
2
(Both a perfect cube and a perfect square)
125=5
3
(Perfect cube)
216=6
3
(Perfect cube)
196=14
2
(Perfect square only, not a perfect cube)
Alternatively, look at the primary classification:
64, 125, and 216 are all perfect cubes of consecutive integers (4,5,6).
196 is not a perfect cube of any integer. Thus, 196 is the odd one.
64=4
3
=8
2
(Both a perfect cube and a perfect square)
125=5
3
(Perfect cube)
216=6
3
(Perfect cube)
196=14
2
(Perfect square only, not a perfect cube)
Alternatively, look at the primary classification:
64, 125, and 216 are all perfect cubes of consecutive integers (4,5,6).
196 is not a perfect cube of any integer. Thus, 196 is the odd one.