GCAT Quantitative Reasoning and Data Interpretation 4 — Questions and Answers
Question 1: A bar chart shows monthly sales (in thousands): Jan=12, Feb=15, Mar=10, Apr=18, May=14. What is the median monthly sales value?
- 12
- 14 (Correct answer)
- 15
- 13
Correct answer: 14
Sorted values are 10, 12, 14, 15, 18 — the middle (3rd) value is 14.
Question 2: A store marks up items by 40% and then offers a 20% discount on the marked-up price. What is the net percentage change from the original price?
- 12% increase (Correct answer)
- 8% increase
- 20% decrease
- No change
Correct answer: 12% increase
1.40 × 0.80 = 1.12, which represents a 12% net increase over the original price.
Question 3: A pie chart shows 5 categories. Category A covers 90°. What percentage of the total does Category A represent?
- 25% (Correct answer)
- 20%
- 30%
- 15%
Correct answer: 25%
90° out of 360° equals 90/360 = 0.25 = 25%.
Question 4: The ratio of boys to girls in a class is 3:5. If there are 25 girls, how many total students are in the class?
- 40 (Correct answer)
- 35
- 30
- 45
Correct answer: 40
5 parts = 25 girls, so 1 part = 5; boys = 3 × 5 = 15; total = 15 + 25 = 40.
Question 5: A line graph shows a company's profit increasing from $200,000 in 2020 to $350,000 in 2024. What is the average annual increase in profit?
- $37,500 (Correct answer)
- $30,000
- $25,000
- $50,000
Correct answer: $37,500
Total increase = $150,000 over 4 years; average = $150,000 ÷ 4 = $37,500 per year.
Question 6: If 3x + 7 = 22, what is the value of 6x − 4?
- 26 (Correct answer)
- 30
- 18
- 22
Correct answer: 26
From 3x + 7 = 22, x = 5; then 6(5) − 4 = 30 − 4 = 26.
Question 7: A table shows four employees' hours worked: Ana=38, Ben=42, Carl=35, Dana=45. What is the range of hours worked?
- 10 (Correct answer)
- 8
- 12
- 7
Correct answer: 10
Range = maximum − minimum = 45 − 35 = 10.
GCAT Quantitative Reasoning and Data Interpretation 4
A bar chart shows monthly sales (in thousands): Jan=12, Feb=15, Mar=10, Apr=18, May=14.
What is the median monthly sales value?