Question

Vidya added 39 distinct prime numbers and

saw the sum was odd. One of these numbers is

definitely.

(a) 3 (b) 2

(c) 11 (d) cannot be determined​

Answer 1

Answer:

2

Step-by-step explanation:

1. All prime numbers greater than 2 are odd.

2.As stated in the question, the sum of the 35 distinct prime numbers is even.

3.Sum of two odd numbers is even and if all the numbers in the question were to be odd, the final sum would not be even.

4. Hence, the number of the odd prime numbers has to be even and this combined with the fact that all number are distinct leaves one definite number which will be part of the 35 distinct prime numbers. That number is 2.

Therefore the answer is 2.