Sure, let's break down the problem step-by-step using the given clues:
1. Identify the Dividend and Divisor:
- The dividend is 63.
- The divisor is 63.
2. Calculate the Quotient:
- The quotient is the result of dividing the dividend by the divisor.
- [tex]\( \text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}} = \frac{63}{63} \)[/tex]
3. Determine the Quotient:
- [tex]\( \frac{63}{63} = 1 \)[/tex]
- So, the quotient is 1.
4. Calculate the Product:
- The product is the result of multiplying the quotient by the divisor.
- [tex]\( \text{Product} = \text{Quotient} \times \text{Divisor} = 1 \times 63 \)[/tex]
5. Determine the Product:
- [tex]\( 1 \times 63 = 63 \)[/tex]
- So, the product is 63.
6. Calculate the Remainder:
- The remainder is what is left after dividing the dividend by the divisor.
- [tex]\( \text{Remainder} = \text{Dividend} \mod \text{Divisor} = 63 \mod 63 \)[/tex]
7. Determine the Remainder:
- [tex]\( 63 \mod 63 = 0 \)[/tex]
- So, the remainder is 0.
Given these calculations:
- The quotient is 1.
- The product is 63.
- The remainder is 0.
Now, let's evaluate the answer choices:
- Option A) The quotient is 0. This is incorrect, as we have determined the quotient is 1.
- Option B) The product is 9. This is incorrect, as the product we obtained is 63.
- Option C) The remainder is 63. This is incorrect, as the remainder is 0.
- Option D) None of the above. This is the correct option since none of the other answers match our calculations.
Therefore, the correct answer is:
Option D) None of the above.
