9. If the quotient is 4 and the dividend is 12, what is the divisor?
Answer: C
The divisor is 3.
To find the divisor, we can use the relationship between the dividend, divisor, and quotient. Given that the quotient is 4 and the dividend is 12, we can calculate the divisor by dividing the dividend by the quotient: 12 ÷ 4 = 3.
A) X
Option A is incorrect as it does not provide a numerical value for the divisor. The variable 'X' does not help in determining the actual divisor from the given information.
B) 4
Option B is incorrect because if the divisor were 4, the quotient would be 3 (12 ÷ 4), not 4. This does not align with the provided quotient of 4.
C) 3
Option C is correct. Using the formula for division, when the dividend (12) is divided by the divisor (3), the result is indeed the quotient of 4 (12 ÷ 3 = 4). This satisfies the conditions of the problem.
D) 12
Option D is incorrect as it suggests that the divisor is equal to the dividend. If the divisor were 12, the quotient would be 1 (12 ÷ 12), which contradicts the given quotient of 4.
Conclusion
The correct answer is 3, as it accurately satisfies the equation relating the dividend, divisor, and quotient. All other options either provide incorrect values or do not apply to the mathematical relationship defined by the question.