Even and Odd Numbers
Even and Odd Numbers
Even numbers: The numbers which are exactly divisible by 2 or leave the remainder as 0 when divided by 2 are called even numbers. So, we can say that a number with 0,2,4,6,8 at the ones place is an even number.
Odd numbers: The numbers which are not exactly divisible by 2 or leave the remainder as 1 when divided by 2 are called odd numbers. So, we can say that a number with 1, 3, 5, 7, 9 at the ones place is an odd number.
Note: 1. Sum/Difference of even numbers is always even.
2. Sum of odd numbers is always odd.But the difference of odd numbers may or may not be odd. For example, 13 and 15 are odd numbers but their difference i.e. 2 is an even number.
3. Product of two even numbers is always an even number.
4. Product of two odd numbers is always an odd number.
5. Sum of one even and one odd number is always an odd number.
Illustration: Find the odd numbers from the following numbers.
1425, 252, 85986, 12359
Solution: As 252, 85986 has 2, 6 at their unit place respectively, hence both these numbers are even numbers. As 1425, 12359 have 5, 9 at their unit place respectively, hence both these numbers are odd numbers.
Illustration: Which of the following is an even number?
123, 2356, 1279, 12365
Solution: As 2356 is exactly divisible by 2, hence it is an even number.
Illustration: Which of the following is an odd number?
965, 8596, 52632, 75444
Solution: As 965 leaves 1 as remainder, hence it is an odd number.
Which of the following numbers are odd numbers? 123, 1254, 5252, 2233 | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following statement is false? (i) An even number is always divisible by 3. (ii) Even numbers leaves remainder 0 when divided by 2. (iii) Product of two even numbers is always even. | |||
| Right Option : C | |||
| View Explanation | |||
Which is the smallest and largest odd prime number in between 24 and 60 ? | |||
| Right Option : C | |||
| View Explanation | |||
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