Question

Which cube of an odd number is alwaysan number

Answer 1

cube on even number is always even number

Answer 2

For Part 3 in today’s Sprint, we will cover Squares and Cubes, and also sum of consecutive numbers. All these three topics do not find direct questions in CAT but will appear as part of “compound” questions. Understanding the properties discussed in this article will help you identify certain patterns in such questions and arrive at answers faster.

Let’s begin!

Squares of Numbers

Squares of even numbers are even. Squares of odd numbers are odd. Conversely, square roots of even numbers are even and square roots of odd numbers are odd.

The difference between consecutive squares of natural numbers are consecutive odd numbers.

You can arrive at a square number by arriving at the sum of the previous square, the previous square’s root, and the current root.

You can arrive at a square number n2 by summing the first n odd numbers.