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(i) Sum of two odd numbers is an ..........

(i) Sum of two odd numbers is an ......... number.
(ii) Product of two odd numbers is an ........ number.

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To solve the question, we need to determine the results of two operations involving odd numbers: the sum and the product. ### Step-by-Step Solution: **(i) Sum of two odd numbers:** 1. **Understanding Odd Numbers:** - Odd numbers are integers that are not divisible by 2. Examples include 1, 3, 5, 7, 9, etc. 2. **Adding Two Odd Numbers:** - Let's take two odd numbers, for example, 3 and 5. - When we add them: \[ 3 + 5 = 8 \] - Another example could be 1 and 9: \[ 1 + 9 = 10 \] - In both cases, the result is an even number. 3. **Conclusion for the First Part:** - The sum of two odd numbers is always an even number. **(ii) Product of two odd numbers:** 1. **Understanding the Product of Odd Numbers:** - Now, let's multiply two odd numbers. We can take 3 and 5 as examples again. - When we multiply them: \[ 3 \times 5 = 15 \] - Another example could be 7 and 3: \[ 7 \times 3 = 21 \] - In both cases, the result is an odd number. 2. **Conclusion for the Second Part:** - The product of two odd numbers is always an odd number. ### Final Answers: (i) Sum of two odd numbers is an **even number**. (ii) Product of two odd numbers is an **odd number**.
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Fill in the blanks: The sum of two odd numbers is an ............... number.

State whether the following statements are True or False: (a) The sum of three odd numbers is even. (b) The sum of two odd numbers and one even number is even. (c) The product of three odd numbers is odd. (d) If an even number is divided by 2, the quotient is always odd. (e) All prime numbers are odd. (f) Prime numbers do not have any factors. (g) Sum of two prime numbers is always even. (h) 2 is the only even prime number. (i) All even numbers are composite numbers. (j) The product of two even numbers is always even

Knowledge Check

  • The product of two odd numbers is

    A
    an odd number
    B
    an even number
    C
    a prime number
    D
    none of these
  • The sum of two odd numbers is

    A
    an odd number
    B
    an even number
    C
    a prime number
    D
    a multiple of 3
  • The sum of two odd numbers is an odd number.

    A
    F
    B
    T
    C
    Not determine
    D
    None of these
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