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Ratio Applications Quiz 3 (1 MCQs)

This set of multiple-choice questions evaluates ratio calculations, multiplication, and simple arithmetic. It tests the ability to apply ratios in height comparison and understand multiplication factors, ensuring a comprehensive grasp of ratio applications.

Quiz Instructions

Select an option to see the correct answer instantly.

1. The average Yorkshire terrier is 6 inches tall. However, the average Dalmatian measures 4 times taller than a Yorkshire terrier. How tall is the average Dalmatian?

Correct Answer: Correct answer is: (B) 24 inches.

Exam Relevance: SAT, ACT, GRE, GMAT

Difficulty: Easy

Concept notes: The question involves a simple ratio application where the height of the Dalmatian is a multiple of the height of the Yorkshire terrier.

Common Mistakes: A common mistake would be to misinterpret the multiplication factor or to add instead of multiplying.

Explanations: The average height of a Yorkshire terrier is 6 inches. The average Dalmatian is 4 times taller than a Yorkshire terrier. Therefore, the height of the Dalmatian is calculated as follows: \[ \text{Height of Dalmatian} = 4 \times \text{Height of Yorkshire terrier} \] \[ \text{Height of Dalmatian} = 4 \times 6 \] \[ \text{Height of Dalmatian} = 24 \text{ inches} \]

Option Analysis:

Option A: 10 inches is incorrect because it does not reflect the 4 times multiplication factor.
Option B: 24 inches is correct as it is the result of multiplying 6 inches by 4.
Option C: 20 inches is incorrect because it does not reflect the 4 times multiplication factor.
Option D: 36 inches is incorrect because it does not reflect the 4 times multiplication factor.

Frequently Asked Questions

What is a ratio?

A ratio is a comparison of two quantities, often expressed as a fraction or with a colon. It shows how much of one thing there is compared to another.

How can ratios be used in real-life situations?

Ratios are used in various real-life situations, such as comparing prices, scaling recipes, and determining speed. They help in making proportional comparisons and solving practical problems.

What is the multiplication factor in ratio problems?

The multiplication factor in ratio problems is a number used to scale up or down the quantities in a ratio. It helps in finding equivalent ratios or solving problems involving proportional relationships.

How do you solve a ratio problem involving height comparison?

To solve a ratio problem involving height comparison, you first identify the heights of the objects or individuals being compared. Then, you express the comparison as a ratio and use it to find unknown values or make comparisons.

What skills are needed to understand ratio applications?

To understand ratio applications, you need skills in basic arithmetic, understanding fractions, and the ability to solve proportional problems. These skills help in interpreting and applying ratios in various contexts.

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