Question

*State True or False for each of the following*.
(a) The cube root of an even natural number is an even number.
(b) If a number ends with the number 8, it will not be a perfect cube.
(c) A perfect cube never ends with zero.
(d) The cube root of an odd number is always odd.
(e) The cube root of a two-digit number is always a single digit number.
(f) The one's digit in the cube root of 13824 is 4.
(g) There are five perfect cubes between 1 and 100. ​

Answer 1

Answer:

done

Step-by-step explanation:

a true

b false

c false

d false

e false

f false

g true

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Answer 2

Step-by-step explanation:

(i) Cube of any odd number is even.

FALSE: Odd multiplied by odd is always odd

(ii) A perfect cube does not end with two zeros.

TRUE: A perfect cube will end with odd number of zeroes

(iii) If square of a number ends with 5, then its cube ends with 25.

TRUE: 5 multiplied by 5 any number of times always gives 5 at units place

(iv) There is no perfect cube which ends with 8.

False: 2

3

=8

(v) The cube of a two digit number may be a three digit number.

FALSE: The smallest two digit number is 10 and 10

3

=1000 is a three digit number

(vi) The cube of a two digit number may have seven or more digits.

FALSE: 99 is the largest 2 digit number; 99

3

=989901 is a 6 digit number

(vii) The cube of a single digit number may be a single digit number.

TRUE: 2

3

=8 is a single digit number.