Question 14

The expression simplifies to 6.

To simplify the expression [2(3 + 5 X 3)] / (12 ÷ 2), we first evaluate the numerator and denominator separately. The numerator becomes 2(3 + 15) = 2(18) = 36, and the denominator simplifies to 6, which gives 36 / 6 = 6.

A) 12

Option A is incorrect because simplifying the expression yields a result of 6, not 12. The miscalculation may stem from an error in evaluating the numerator or denominator.

B) 1

Option B is also incorrect. The simplification does not support this answer, as the final calculation of the expression results in 6, far from the value of 1.

C) 8

Option C is incorrect as well. The calculations show that the numerator and denominator lead to a result of 6, making 8 an invalid option based on the given expression.

D) 6

Option D is correct. The evaluation of the expression [2(3 + 5 X 3)] results in 36, and dividing this by the simplified denominator of 6 confirms that the final result is indeed 6.

Conclusion

The correct answer, 6, is derived from carefully simplifying the expression step by step. All other options, 12, 1, and 8, do not reflect the accurate result of the calculation, confirming that they are incorrect. Thus, Option D is the only viable answer based on the provided mathematical expression.