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Prime and Composite Numbers

The sum of tw...

Question

The sum of two even natural numbers is an even number.

A

True

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B

False

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Solution

The correct option is A True
Let us take any two natural even numbers.
Now adding them i.e, $2 + 4 = 6$ and $6$ is also an even natural number.
Hence this statement is true.

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Q. Which of the following statements are true and which are false?

(i) The sum of two odd numbers is an odd number.
(ii) The sum of two odd numbers is an even number.
(iii) The sum of two even numbers is an even number.
(iv) The sum two even number is an odd number.
(v) The sum of an even number and an odd number is an odd number.
(vi) The sum of an odd number and an even number is an even number
(vii) Every whole number is a natural number.
(viii) Every natural number is a whole number.
(ix) There is a whole number which when added to a whole number, gives that number.
(x) There is a natural number which when added to a natural number, gives that number.
(xi) Commutativity and associativity are properties of whole numbers.
(xii) Commutativity and associativity are properties of addition of whole numbers.

Q. Find the sum of the first n even natural numbers. Hence find the sum of the first 20 even natural numbers.

Q. The sum of the squares of two consecutive even natural numbers is 100. Find the numbers.

Q. Write (T) for true and (F) for false for each of the following statements:
(i) The sum of two odd numbers is an odd number.
(ii) The sum of two even numbers is an even number.
(iii) The sum of an even number and an odd number is an odd number.

Q. State true or false:
(iii) The sum of two even numbers is an even number.

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