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CTET Paper I (Classes I to V) 28 Jan 2023 Solved Paper

Question : 31 of 150

Marks: +1, -0

Sum of two even numbers and two odd numbers is:

Solution:

Concept:

The sum of two even numbers is always even, and the sum of two odd numbers is also always even.

Explanation:

Let the two even numbers be

2a

and

2b

. Their sum is

2a+2b = 2(a+b)

, which is even.

Let the two odd numbers be

2c+1

and

2d+1

. Their sum is

(2c+1)+(2d+1) = 2(c+d+1)

, which is even.

Now add the two even results:

2(a+b) + 2(c+d+1) = 2(a+b+c+d+1)

, which is also even.

Thus, the total sum is always even.

Answer:

A. Always even

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