1. Tardigrade
  2. Question
  3. Mathematics
  4. n1 , n2,..., np are p positive integers, whose sum is an even number, then the number of odd integers among them is odd

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $ n_1 , n_2,..., n_p$ are $p$ positive integers, whose sum is an even number, then the number of odd integers among them is odd

IIT JEEIIT JEE 1985Sequences and Series

Solution:

Since, $ n_1 , n_2,..., n_p$ are p positive integers, whose sum is even and we know that , sum of any two odd integers is even.
$\therefore $ Number of odd integers must be even.
Hence, it is a false statement.