Graduate Management Admission Test (GMAT) Practice Test

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Which combinations of two terms yield an odd number?

  1. Odd + Odd only

  2. Even + Even only

  3. Odd x Odd only

  4. Odd + Even

The correct answer is: Odd + Even

To determine which combinations of two terms yield an odd number, it's essential to understand how odd and even numbers interact during addition and multiplication. When adding two odd numbers, the result is always even. This is because: - Odd + Odd = Even For example, 3 + 5 = 8, which is even. When adding two even numbers, the result is also even: - Even + Even = Even For instance, 2 + 4 = 6, which is even as well. Multiplying two odd numbers results in an odd number: - Odd x Odd = Odd For example, 3 x 5 = 15, which is odd. However, when an odd number is added to an even number, the result is odd: - Odd + Even = Odd For instance, 3 + 2 = 5, which is odd. Based on this understanding, the choice that correctly identifies a combination yielding an odd number is the addition of an odd number and an even number.