Odd And Even Numbers - 3

Logic Level 1

Given that a , b , c , d a , b , c , d are 4 positive integers .

  • a b ab = even

  • a b + c d ab + cd = even

  • m m = maximum number of even numbers possible

Find the value of m m .

Check the series : Odd And Even Numbers - 1 and 2

1 3 4 2

Ram Mohith by Ram Mohith , 18, India

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1 solution

Ram Mohith
Jun 5, 2018

It is given that a b + c d ab + cd is an even number . a b ab is an even number . The sum of two even numbers will give us an even number. So, both a b ab and c d cd are even numbers.

a b = e v e n = e v e n × e v e n ab = even = even \times even (or) e v e n × o d d even \times odd

c d = e v e n = e v e n × e v e n cd = even = even \times even (or) e v e n × o d d even \times odd

So, the maximum number of even numbers possible is 4 4 . (In the first cases of a b ab and c d cd )

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