Write (T) for true and (F) for false statements:

1. 2 is the smallest even number.
2. Sum of an odd and an even number is an even number.
3. Sum of two even numbers is an odd number.
4. 1 is the smallest odd number.
5. A number having 5 at ones place is an even number.
6. A number having 8 at the ones place is an even number.

Answer the following:

1. Name a vehicle having an odd number of tires.
2. Which letters are present in even numbers in the word 'MATHEMATICS'?
3. Which letters are present in odd numbers in the word 'ARYABHATT'?

Let's go through each statement one by one to determine if they are true or false:

2 is the smallest even number.

This statement is True . The smallest even positive integer is indeed 2 .


The sum of an odd and an even number is an even number.

This statement is False . The sum of an odd number and an even number is always an odd number. For example, 3 + 4 = 7 , which is odd.


The sum of two even numbers is an odd number.

This statement is False . The sum of two even numbers is an even number. For example, 2 + 4 = 6 , which is even.


1 is the smallest odd number.

This statement is True . The smallest odd positive integer is 1 .


A number having 5 at the ones place is an even number.

This statement is False . Any number ending in 5 is odd.


A number having 8 at the ones place is an even number.

This statement is True . Any number ending in 8 is even.



Now for the additional questions:

Name a vehicle having an odd number of tyres.

A common example is a tricycle, which has three wheels. An auto rickshaw is another example which usually has three wheels.


Which letters are present in even numbers in the word 'MATHEMATICS'?

Let's count the letters: M(1), A(2), T(3), H(4), E(5), M(6), A(7), T(8), I(9), C(10), S(11).
Letters at even positions: A(2), H(4), M(6), T(8), C(10). So, the letters are A, H, M, T, C.


Which letters are present in odd numbers in the word 'ARYABHATT'?

Let's count the letters: A(1), R(2), Y(3), A(4), B(5), H(6), A(7), T(8), T(9).
Letters at odd positions: A(1), Y(3), B(5), A(7), T(9). So, the letters are A, Y, B, T.

Answered by SophiaElizab | 2025-07-06

The true or false evaluations indicate that statements 1, 4, 6 are true, while statements 2, 3, 5 are false. For the additional questions, examples include a tricycle for an odd number of tires, and the letters A, H, M, T, C are found in even positions in 'MATHEMATICS', while A, Y, B, T are at odd positions in 'ARYABHATT'.
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Answered by SophiaElizab | 2025-07-07