GCAT Quantitative Reasoning and Data Interpretation 4

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?

Accepted Answer

14

Answer

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?

Accepted Answer

12% increase

Answer

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?

Accepted Answer

25%

Answer

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?

Accepted Answer

40

Answer

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?

Accepted Answer

$37,500

Answer

Total increase = $150,000 over 4 years; average = $150,000 ÷ 4 = $37,500 per year.

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