Q. 24.4( 15 Votes )

# Find the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about the parity of the odd cubes and even cubes?

Answer :

The cube of even number is always even and that of odd be always odd.

Rate this question :

Find the cubes of 10, 30, 100, 1000. What can you say about the zeros at the end?

Karnataka Board - Mathematics Part IFind the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about the parity of the odd cubes and even cubes?

Karnataka Board - Mathematics Part ILooking at the pattern, fill in the gaps in the following:

Karnataka Board - Mathematics Part I

How many perfect cubes you can find from 1 to 100? How many from –100 to 100?

Karnataka Board - Mathematics Part IWhat are the digits in the unit’s place of the cubes of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10? Is it possible to say that a number is not a perfect cube by looking at the digit in unit’s place of the given number, just like you did for squares?

Karnataka Board - Mathematics Part IHow many perfect cubes are there from 1 to 500? How many are perfect squares among these cubes?

Karnataka Board - Mathematics Part IFind a proper positive factor of 48 and a proper positive multiple of 48 which add up to a perfect square. Can you prove that there are infinitely many such pairs?

Karnataka Board - Mathematics Part IFind two smallest perfect squares whose product is a perfect cube.

Karnataka Board - Mathematics Part IWhat are the remainders when a perfect cube is divided by 7?

Karnataka Board - Mathematics Part I