CAT Even and Odd numbers - Practice Questions & MCQ

Even and Odd numbers are important concepts in mathematics. An even number is any integer that is exactly divisible by 2, while an odd number is an integer that is not divisible by 2. 

• Even numbers: 2, 4, 6, 8, 10, 12, ...
• Odd numbers: 1, 3, 5, 7, 9, 11, ...

Properties of Even and Odd Numbers

• An even number can be represented as 2k, where k is an integer.
• An odd number can be represented as 2k + 1, where k is an integer.

Identification of Even and Odd Numbers

• A number is even if it has 0, 2, 4, 6, or 8 at the unit's place.
• A number is odd if it has 1, 3, 5, 7, or 9 at the unit's place.

Operations on Even and Odd Numbers

• Even + Even = Even
• Odd + Odd = Even
• Even + Odd = Odd
• Even - Even = Even
• Odd - Odd = Even
• Even - Odd = Odd
• Even × Even = Even
• Odd × Odd = Odd
• Even × Odd = Even
• Odd ÷ Odd = Non-terminating decimal
• Even ÷ Odd = Non-terminating decimal

Solved Example:

Example 1:

The sum of two consecutive even numbers is 88. What are the numbers?

Example 2:

If the product of two consecutive odd numbers is 315, what are the numbers?

Example 3:

If the difference between two consecutive odd numbers is 6, what are the numbers?

Tips and Tricks

• The last digit of an even number is always even (0, 2, 4, 6, or 8).
• The last digit of an odd number is always odd (1, 3, 5, 7, or 9).
• To quickly calculate the sum or product of even or odd numbers, follow the rules mentioned above for operations.