Class 6 Exam > Class 6 Questions > The sum of two odd and one even numbers isa)E...
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The sum of two odd and one even numbers is
- a)Even
- b)Prime
- c)odd Composite
- d)Odd
Correct answer is option 'A'. Can you explain this answer?
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The sum of two odd and one even numbers isa)Evenb)Primec)odd Composite...
We know that sum of two odd numbers is always even. Adding one more even number will keep the result an even number.
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The sum of two odd and one even numbers isa)Evenb)Primec)odd Composite...
A we can use 3+3+2=8 so you see 3 is an odd number and another 3 is odd too and 2 is even number
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The sum of two odd and one even numbers isa)Evenb)Primec)odd Composite...
The Sum of Two Odd and One Even Numbers is Even
To understand why the sum of two odd numbers and one even number is even, let's break down the different cases and analyze them.
Case 1: Adding two odd numbers and one even number
- Let's consider two odd numbers, such as 3 and 5, and one even number, such as 4.
- The sum of 3 and 5 is 8, which is an even number.
- Adding the even number 4 to the sum of the two odd numbers gives us 8 + 4 = 12, which is also an even number.
Case 2: Adding an odd number and an even number with another odd number
- Let's consider an odd number, such as 7, an even number, such as 2, and another odd number, such as 9.
- The sum of 7 and 2 is 9, which is an odd number.
- Adding the odd number 9 to the sum of 7 and 2 gives us 9 + 9 = 18, which is an even number.
Generalizing the pattern
- From the above two cases, we can see that regardless of the specific values of the odd and even numbers, the sum always results in an even number.
- This is because when we add two odd numbers, the sum is always even.
- When we add an even number to an even sum, the result is an even number.
- Therefore, the sum of two odd numbers and one even number will always be even.
Conclusion
Therefore, the correct answer is option 'A' - Even. The sum of two odd numbers and one even number is always an even number.
To understand why the sum of two odd numbers and one even number is even, let's break down the different cases and analyze them.
Case 1: Adding two odd numbers and one even number
- Let's consider two odd numbers, such as 3 and 5, and one even number, such as 4.
- The sum of 3 and 5 is 8, which is an even number.
- Adding the even number 4 to the sum of the two odd numbers gives us 8 + 4 = 12, which is also an even number.
Case 2: Adding an odd number and an even number with another odd number
- Let's consider an odd number, such as 7, an even number, such as 2, and another odd number, such as 9.
- The sum of 7 and 2 is 9, which is an odd number.
- Adding the odd number 9 to the sum of 7 and 2 gives us 9 + 9 = 18, which is an even number.
Generalizing the pattern
- From the above two cases, we can see that regardless of the specific values of the odd and even numbers, the sum always results in an even number.
- This is because when we add two odd numbers, the sum is always even.
- When we add an even number to an even sum, the result is an even number.
- Therefore, the sum of two odd numbers and one even number will always be even.
Conclusion
Therefore, the correct answer is option 'A' - Even. The sum of two odd numbers and one even number is always an even number.
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The sum of two odd and one even numbers isa)Evenb)Primec)odd Composited)OddCorrect answer is option 'A'. Can you explain this answer?
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The sum of two odd and one even numbers isa)Evenb)Primec)odd Composited)OddCorrect answer is option 'A'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The sum of two odd and one even numbers isa)Evenb)Primec)odd Composited)OddCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two odd and one even numbers isa)Evenb)Primec)odd Composited)OddCorrect answer is option 'A'. Can you explain this answer?.
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