Gujarat BoardEnglish MediumSTD 8MATHSCube and Cube Roots1 Mark
MCQ
Cube of an odd natural number is an _____ number.
✓
odd
B
even
C
negative
D
prime
✓
Answer
Correct option: A.
odd
We know, the multiplication of odd natural numbers $3$ times, i.e. the cube of an odd natural number, will always be odd.
That is because an odd number multiplied to another odd number, always yields an odd number.
For example, consider the odd natural numbers $3$ and $5$.
Then, their cube is $33 = 27$ and $53 = 125$, whose units place is odd.
That is, the cubes are also odd.
Hence, the cube of an odd natural number is an odd number.
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