Question 5

12

The expression 3(1 + 7) / 2 simplifies to 12 when calculated correctly. First, evaluate the parentheses, then multiply by 3, and finally divide by 2.

A) 5

Option A is incorrect because it does not accurately reflect the result of the expression. The calculation involves multiplying the sum of 1 and 7 by 3, which is 24, and dividing by 2 gives 12, not 5.

B) 11

Option B is also incorrect as it misrepresents the outcome of the mathematical operation. After performing the correct operations, the resulting value is 12, not 11.

C) 12

Option C is correct because it accurately represents the result of the expression. Following the order of operations, we first calculate the sum (1 + 7 = 8), multiply by 3 (3 * 8 = 24), and then divide by 2 (24 / 2 = 12).

D) 24

Option D is incorrect because it reflects the intermediate step of multiplying 3 by the sum (1 + 7). However, the final result of the expression requires dividing that product by 2, leading to 12, not 24.

Conclusion

The correct answer is 12, as derived from the proper execution of the order of operations in the expression. All other options fail to represent the final outcome, either by miscalculating the steps or failing to apply division after multiplication. Thus, Option C is definitively the correct choice.