If the quotient is 4 and the dividend is 12, what is the divisor?

Rationale

The divisor is 3.

To find the divisor when the quotient is known, we can use the formula: dividend = divisor × quotient. Here, substituting the known values gives us 12 = divisor × 4, leading us to determine that the divisor equals 3.

A (X) YOUR ANSWER

"X" is a variable and does not provide a specific numerical value. In the context of this question, it fails to represent the correct divisor, which must be a concrete number that satisfies the given equation.

B (4) YOUR ANSWER

If the divisor were 4, then the equation would read 12 = 4 × 4, which simplifies to 12 = 16. This is incorrect, as the left side does not equal the right side. Therefore, 4 cannot be the divisor in this scenario.

C (3) CORRECT

Using the divisor of 3, the equation is 12 = 3 × 4, which accurately balances to 12 = 12. This confirms that 3 is the correct divisor, satisfying the original condition of the quotient being 4.

D (12) YOUR ANSWER

If the divisor were 12, then the equation would become 12 = 12 × 4, simplifying to 12 = 48. This clearly does not hold true, indicating that 12 cannot be the divisor in this case.

Conclusion

In summary, when the dividend is 12 and the quotient is 4, the only value that satisfies the equation is 3, making it the correct divisor. Other choices do not fulfill the mathematical requirements outlined in the question, reinforcing that 3 is the only valid solution.

If the quotient is 4 and the dividend is 12, what is the divisor?

The divisor is 3.

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