FSOT Mathematics and Statistics Questions and Answers

Question 1

An economic officer is analyzing the following data on trade between the U.S. and Country X:
- 2021: U.S. Exports $50 billion; U.S. Imports $85 billion
- 2022: U.S. Exports $65 billion; U.S. Imports $90 billion
- 2023: U.S. Exports $60 billion; U.S. Imports $105 billion
- 2024: U.S. Exports $75 billion; U.S. Imports $115 billion

In which year was the U.S. trade deficit with Country X the largest?

Accepted Answer

2023

Answer

2022

Answer

2024

Answer

2021

Question 2

A consular section received 300 visa applications in one week, of which 180 were for tourist visas and 120 were for business visas. The section flagged 10% of the tourist visa applications and 20% of the business visa applications for additional security screening. If an application is chosen at random from the flagged pile, what is the approximate probability that it is a business visa application?

Accepted Answer

57%

Answer

20%

Answer

42%

Answer

14%

Question 3

A Foreign Service Officer is preparing a report on a host country's economic growth. The country's Gross Domestic Product (GDP) was $500 billion at the start of the year and $515 billion at the end of the year. What was the percentage increase in the country's GDP for that year?

Accepted Answer

3.0%

Answer

2.9%

Answer

15%

Answer

1.5%

Question 4

A public affairs officer conducted a small survey, asking 9 local university students to rate a recent cultural event on a scale of 1 to 10. The ratings were: 8, 4, 7, 9, 7, 10, 5, 7, 3. Which of the following statements about this data set is correct?

Accepted Answer

The mean is greater than the mode.

Answer

The median is equal to the mean.

Answer

The mode is greater than the median.

Answer

The mean, median, and mode are all the same.

Question 5

An embassy is allocating its annual public diplomacy budget of $250,000. The funds are to be divided among Educational Programs, Cultural Events, and Media Outreach in a ratio of 5:3:2, respectively. How much funding is allocated for Cultural Events?

Accepted Answer

$75,000

Answer

$50,000

Answer

$125,000

Answer

$100,000

Question 6

An analyst's report on Country Y includes the following data:
- 70% of the country's population lives in urban areas.
- 30% of the country's population lives in rural areas.
- 80% of the urban population has access to reliable electricity.
- 40% of the rural population has access to reliable electricity.
Based on this information, what percentage of the total population of Country Y has access to reliable electricity?

Accepted Answer

68%

Answer

60%

Answer

70%

Answer

56%