Odd And Even Numbers - 1

Logic Level 1

a , b , c , d a, b, c, d are 4 positive integers, 2 of which are odd and the other 2 are even numbers. Given that

  • a b = ab = even
  • a b + c d = ab+ cd = odd,

Which of the following are the 2 even numbers?

Check the series : Odd And Even Numbers - 2 and 3

a , b a, b b , d b, d a , d a, d c , d c, d b , c b, c a , c a, c

Ram Mohith by Ram Mohith , 18, India

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1 solution

Ram Mohith
Mar 9, 2018

It is given that a b + c d ab + cd is a odd number . a b ab is an even number . The sum of even number and odd number will give odd number . So, c d cd is a odd number.

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

c d = o d d = o d d × o d d cd = odd = odd \times odd

There are only two even numbers and two odd numbers . c and d are both odd so the remaining numbers a and b must be even .

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