Topic

Odd and Even numbers

Topic promise: This topic will acclimatise you to positive and negative numbers.

Topic duration: 9 minutes

 

Evens: Integers that are divisible by 2

Odds: Integers that are not divisible by 2

Evens and odds are defined only for integers.

Even and odds are defined for positives as well as negatives

… -4, -2, 0, 2, 4, … are even integers

… -3, -1, 1, 3, … are odd integers

 

Note: 0 is an even integer

0/2 = 0. On dividing 0 by 2, the result is an integer (0) therefore 0 is an even integer.

  • even + even = even
  • even – even = even
  • even x even = even
  • even / even = anything (even, odd, or not an integer)
  • even + odd = odd
  • even – odd = odd
  • even x odd = odd
  • even / odd = even or not an integer
  • odd + odd = even
  • odd – odd = even
  • odd x odd = odd
  • odd / odd = odd or not an integer
  • odd/ even = not an integer

GMAT Integer Properties - Odd Even Practice

 

 

The power of a number does not change the even-odd nature of the number.

 

(Even)n = Even

 

(Odd)n = Odd

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