Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions

Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125

Which of the following number is  not perfect cubes?

 64

Which of the following number is  not perfect cubes? 

216

Find if the following number is not a perfect cube? 

243

Which of the following number is  not perfect cubes? 

1728

For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be  multiplied so that the product is a perfect cube.

For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be divided so that the quotient is a perfect cube.

By taking three different values of n verify the truth of the following statement:

If n is even , then n³ is also even.

By taking three different values of n verify the truth of the following statement:

If n is odd, then n³ is also odd.

By taking three different values of n verify the truth of the following statement:

If n leaves remainder 1 when divided by 3, then n³ also leaves 1 as remainder when divided by 3.

By taking three different values of n verify the truth of the following statement:

If a natural number n is of the form 3p + 2 then n³ also a number of the same type.

Write true (T) or false (F) for the following statement:

392 is a perfect cube.

Write true (T) or false (F) for the following statement:

8640 is not a perfect cube.

Write true (T) or false (F) for the following statement:

 No cube can end with exactly two zeros.

Write true (T) or false (F) for the following statement:

There is no perfect cube which ends in 4.

Write true (T) or false (F) for the following statement:

 For an integer a, a³ is always greater than a².

Write true (T) or false (F) for the following statement:

If a and b are integers such that a² > b², then a³ > b³.

Write true (T) or false (F) for the following statement:

 If a divides b, then a³ divides b³.

Write true (T) or false (F) for the following statement:

 If a² ends in 9, then a³ ends in 7.

Write true (T) or false (F) for the following statement:

 If a² ends in 5, then a³ ends in 25.