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Byju's Answer
Standard VIII
Mathematics
Units Digits in Cube Numbers
Cube of an od...
Question
Cube of an odd natural number is an _____ number.
A
odd
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B
even
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C
negative
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D
prime
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Solution
The correct option is
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
3
3
=
27
and
5
3
=
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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If n is an odd natural number greater than 1, then the product of its successor and predecessor
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Which of the following statements are true and which are false?
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(iii) The sum of two even numbers is an even number.
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(viii) Every natural number is a whole number.
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