The one's digit of the cube of 23 is

1

(a)

3

(b)

6

(c)

7

Which of the following number is a perfect cube?

1

(a)

243

(b)

512

(c)

392

The cube root of \(\frac { -64 }{ 125 } \) is

1

(a)

\(\frac { 8 }{ 5 } \)

(b)

\(\frac { -8 }{ 5 } \)

(c)

\(\frac { -4 }{ 5 } \)

(d)

\(\frac { 5 }{ -8 } \)

Which of the following is the cube of an even natural number?

1

(a)

1331

(b)

4913

(c)

3375

(d)

1728

The value of \(\sqrt [ 3 ]{ 512 } \times \sqrt [ 3 ]{ -27 } \) is

1

(a)

24

(b)

-24

(c)

48

(d)

-48

One's digit in the cube of 27 is _____

1

(a)

3

The least number by which 250 is multiplied to make it a perfect cube is _____

1

(a)

4

The least number by which 72 is multiplied to make it a perfect cube is _____

1

(a)

3

The least number by which 72 is divided to make it a perfect cube is _____

1

(a)

9

Cube of a number ending in 7 will end in the digit ______

1

(a)

3

Cube of any odd number is even.

1

(a) True

(b) False

A perfect cube does not end with two zeroes.

1

(a) True

(b) False

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

1

(a) True

(b) False

There is no perfect cube which ends with 8.

1

(a) True

(b) False

The cube of a two digits number may have seven or more digits.

1

(a) True

(b) False

The cube of 0.4 is 0.064.

1

(a) False

(b) True

There are five perfect cubes between 1 to 100

1

(a) True

(b) False

If a² ends in 5, then a³ ends in 25.

1

(a) True

(b) False

If a² ends in 9, then a³ ends in 7.

1

(a) True

(b) False

Cube of an odd number is odd.

1

(a) False

(b) True

Find the one's digit of the cube of each of the following numbers.
3331

2

(a)

Find the one's digit of the cube of each of the following numbers.
1005

2

(a)

1 = 1 = 1³
3 + 5 = 8 = 2³
7 + 9 + 11 = 27 = 3³
13 + 15 + 17 + 19 = 64 = 4³
21 + 23 + 25 + 27 + 29 = 125 = 5³
Express the following numbers as the sum of odd numbers using the above pattern.
8³

2

(a)

Which of the following are perfect cubes?
400

2

(a)

Check whether 21600 is a perfect cube or not.

3

(a)

Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.

3

(a)

Find the cube root of 614125 through estimation.

3

(a)

Using prime factorisation, find the cube root of 5832.

3

(a)

What is the smallest number by which 392 may be divided so that the quotient is a perfect cube?

5

(a)

Three numbers are in ratio to one another 2: 3: 4. The sum of their cubes is 33957. Find the numbers.

5

(a)