Operations on Odd and Even Numbers Explained

The video tutorial explains the concepts of even and odd numbers, using examples to illustrate their definitions. It discusses how the GMAT makes these topics interesting with problem-solving questions, such as determining if a number is even based on its factors. The tutorial also covers prime factorization to assess evenness and explores the outcomes of adding and subtracting even and odd numbers, highlighting patterns in results.

Which of the following is an even number?

• 3

• 7

• 4

• 9

If 4 is a factor of X, which of the following must be true?

• X is odd

• X is divisible by 2

• X is a prime number

• None of the above

If X is divisible by 4, which of the following must also be a factor of X?

• 2

• 3

• 7

• 5

Given Y = 34 * N, where N is a natural number, what can be said about Y?

• Y is a prime number

• Y is undefined

• Y is even

• Y is odd

If Y = 34 * N and N is a natural number, which factor must Y always have?

• 2

• 7

• 5

• 3

What is the result of adding two even numbers?

• Odd number

• Even number

• Prime number

• Cannot be determined

What is the result of adding two odd numbers?

• Prime number

• Odd number

• Even number

• Cannot be determined

What is the result of subtracting two even numbers?

• Odd number

• Prime number

• Cannot be determined

• Even number

What is the result of subtracting an odd number from an even number?

• Cannot be determined

• Prime number

• Odd number

• Even number

What is the result when an even number is added to an odd number?

• Even number

• Odd number

• Prime number

• Cannot be determined