Real-World Quantitative Reasoning Examples With Solutions

Quantitative reasoning is a mathematical skill used to assess a person’s critical thinking skills. But did you know that applying for a graduate program in the U.S. requires a specific score on the quantitative reasoning test of the GRE?

In addition, Would you like to be an expert in STEM fields, such as engineering, accounting, or economics?

There is only one answer to both of these questions, and that is to count on good quantitative reasoning examples with solutions. Read on because we offer more than just examples.

What is Quantitative Reasoning Examples

Quantitative reasoning is the application of basic math skills in academic writing that combines mathematical concepts and critical thinking to interpret and solve real-world problems. Students must become competent in understanding and using quantitative data to become effective professionals and citizens.

Examples of quantitative reasoning include calculating your monthly budget based on income and expenses, interpreting data from a graph to understand trends, or determining the best deal when comparing prices at the store.

Quantitative Reasoning Examples With Solutions

First, let’s study some quantitative reasoning in everyday life examples, and then we will discuss its real-world applications.

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Example 1: Budgeting For a Road Trip

Question: Let’s say David is planning a 300-mile road trip. His car gets an average of 25 miles per gallon, and gas costs $3.50 per gallon. How much should he budget for gas for the round trip?

Solution Base on Quantitative Reasoning:

1. Total distance for the round trip = 300 miles x 2 = 600 miles.
2. Gallons of gas needed = 600 miles ÷ 25 miles per gallon = 24 gallons.
3. Total cost for gas = 24 gallons x $3.50 per gallon = $84.

Answer: David should budget $84 for gas.

Example no 2: Discount Shopping

Question: A store offers a 20% discount on a jacket that originally costs $120. Sales tax is 8%. What is the final price of the jacket after the discount and tax?

Solution:

1. Discounted price = $120 x (1 – 0.20) = $120 x 0.80 = $96.
2. Sales tax = $96 x 0.08 = $7.68.
3. Final price = $96 + $7.68 = $103.68.

Answer: The final price of the jacket is $103.68.

Example no.3: Interest on Savings

Question: Emma deposits $2,000 in a savings account with an annual interest rate of 5%, compounded annually. What will be the balance after 3 years?

Solution: Here, we will use the formula for compound interest:

A=P×(1+rn)ntA = P \times (1 + \frac{r}{n})^{nt}A=P×(1+nr)nt

where P=2000P = 2000P=2000, r=0.05r = 0.05r=0.05, n=1n = 1n=1, and t=3t = 3t=3.

1. A=2000×(1+0.05)3A = 2000 \times (1 + 0.05)^3A=2000×(1+0.05)3.
2. A=2000×1.157625=2315.25A = 2000 \times 1.157625 = 2315.25A=2000×1.157625=2315.25.

Answer: The balance after 3 years will be $2,315.25.

Quantitative Reasoning Examples 4: Cooking and Recipe Measurements

Question: A pasta recipe serves 4 people and calls for 500 grams of pasta. If Carla wants to cook for 10 people, how much pasta does she need?

Solution:

• First, find the amount of pasta per person: 500÷4=125500 \div 4 = 125500÷4=125 grams.
• Multiply by the number of people Carla wants to serve: 125×10=1250125 \times 10 = 1250125×10=1250 grams.

Answer: Carla needs 1250 grams of pasta for 10 people.

Example 5: Travel Time and Distance

Question: A train travels at a constant speed of 60 miles per hour. How long will it take to travel a distance of 150 miles?

Solution:

• Use the formula: Time = Distance ÷ Speed.
• Time = 150÷60=2.5150 \div 60 = 2.5150÷60=2.5 hours.

Answer: It will take 2.5 hours to travel 150 miles by train.

These above quantitative reasoning examples contain questions and their answers that help you solve real-world problems using mathematical formulas.

Real-World Scenarios Where Quantitative Reasoning Used

Quantitative reasoning involves understanding and using numerical data and mathematical concepts to solve real-world problems. Here are some common scenarios where quantitative reasoning is widely used.

1. Business: Analyzing data, making predictions, and creating decisions about investments and financial planning.
2. Finance: QR can be used in finance assignments to analyze investment options, portfolio performances, risk levels, financial trends, and company valuations.
3. Healthcare: Quantitative reasoning allows professionals to analyze data, create calculations, and solve medical problems. It is also helpful in evaluating the effectiveness of treatments and medical interventions.
4. Transportation: Optimizing routes, analyzing data to improve safety, and predicting traffic patterns.
5. Manufacturing: Improving production, reducing costs, and enhancing product quality.
6. Energy and utilities: predict future demand, evaluate energy use, and conserve energy.
7. Retail: In the retail sector, quantitative reasoning is used to manage inventory and pricing decisions based on data analysis and consumer behavior prediction.
8. Engineering: Design and test products, analyze data, and enhance systems for maximum performance and production.

Want to Learn More About Quantitative Reasoning Examples?

Consider reading this PDF document for a much more detailed quantitative reasoning example.

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Conclusion

We hope you have got the best examples of quantitative reasoning from everyday life. Whether you want to increase your percentile in the GSE test or want to be an expert in STEM careers, these quantitative reasoning examples with solutions could help. Lastly, remember that there are many ways to approach quantitative reasoning problems, and the best way is always up to you!