Which of the following numerical values is equal to 5% of 1,500?

Introduction / Context:
This is a direct percentage calculation question. It checks your ability to find a simple percentage of a number, a very common operation in everyday arithmetic and aptitude tests.

Given Data / Assumptions:

• We need to compute 5% of 1500.• Four answer choices are given as whole numbers.• We must identify which value equals 5% of 1500.

Concept / Approach:
To find x percent of a quantity, we multiply the quantity by x/100. For 5%, the multiplier is 5/100 = 0.05. Multiplying 1500 by 0.05 will give us the desired value. A mental math approach using 10% can also be used.

Step-by-Step Solution:
Step 1: Write 5% as a fraction: 5% = 5/100.Step 2: Compute 5/100 of 1500: (5/100) * 1500.Step 3: Simplify: 1500 / 100 = 15.Step 4: Multiply: 15 * 5 = 75.Step 5: Thus, 5% of 1500 is 75.

Verification / Alternative check:
A quick mental method: 10% of 1500 is 150. Five percent is half of 10%, so 5% is 150 / 2 = 75. This matches our previous calculation.

Why Other Options Are Wrong:
Values 35, 55 and 45 are all less than 75 and do not equal 5% of 1500. They may result from guessing or from incorrectly subtracting instead of multiplying.

Common Pitfalls:
Sometimes students confuse 5% with 0.5% or 50% or attempt to divide by 5 instead of multiplying by 5/100. Remember that percent means per hundred and always convert to a fraction or decimal carefully.

Final Answer:
The value equal to 5% of 1,500 is 75.