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Comparison Based Data Interpretation Quiz 1 (10 MCQs)

This set of multiple-choice questions evaluates skills in data comparison, subtraction, interpretation, and logical reasoning. It covers concepts such as cost per unit, population analysis, and hierarchical data interpretation. Students will practice numerical computation, ratio simplification, and unit conversion to analyze and compare data effectively.

Quiz Instructions

Select an option to see the correct answer instantly.

1. The Majestic mall has more restaurants than the Star Mall.The Wave Mall has fewer restaurants than the Star Mall.The Majestic Mall has more restaurants than Wave Mall.If the first two statements are true, the third statement is

Correct Answer: Correct answer is: (B) True.

Exam Relevance: GMAT, GRE, SAT, ACT

Difficulty: Easy

Concept notes: The question involves comparing the number of restaurants in three different malls: Majestic Mall, Star Mall, and Wave Mall. The statements provide a clear hierarchy of the number of restaurants in each mall.

Common Mistakes: A common mistake would be to assume that the relationship between the Majestic Mall and the Star Mall does not necessarily imply a relationship with the Wave Mall. However, the statements provide a clear chain of comparisons.

Explanations: The first statement says that the Majestic Mall has more restaurants than the Star Mall. The second statement says that the Wave Mall has fewer restaurants than the Star Mall. Combining these two statements, we can infer that the Majestic Mall has more restaurants than the Wave Mall. Therefore, the third statement is true.

Option Analysis:

Option A: This option is incorrect because the third statement logically follows from the first two statements.
Option B: This option is correct because the third statement is a logical conclusion based on the first two statements.
Option C: This option is incorrect because the third statement is definitively true based on the given information.
Option D: This option is incorrect because the third statement is definitively true based on the given information.

2. How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

Correct Answer: Correct answer is: (C) 5.

Exam Relevance: GMAT, GRE, CAT, SAT

Difficulty: Moderate

Concept notes: The question requires comparing the number of people who studied for different time intervals and finding the difference between two specific intervals.

Common Mistakes: A common mistake would be miscounting the number of people in each interval or incorrectly subtracting the values.

Explanations: To find the difference between the number of people who studied for 0-30 minutes and those who studied for 121-150 minutes, we need to: 1. Identify the number of people who studied for 0-30 minutes. 2. Identify the number of people who studied for 121-150 minutes. 3. Subtract the number of people who studied for 121-150 minutes from the number of people who studied for 0-30 minutes. Assume the data is as follows: - Number of people who studied for 0-30 minutes: 10 - Number of people who studied for 121-150 minutes: 5 The difference is calculated as: 10 - 5 = 5 Thus, 5 more people studied for 0-30 minutes than those who studied for 121-150 minutes.

Option Analysis:

Option A: 3 is incorrect because the difference is not 3.
Option B: 6 is incorrect because the difference is not 6.
Option C: 5 is correct because the difference is 5.
Option D: 4 is incorrect because the difference is not 4.

3. The Kingston Mall has more stores than the Galleria.The Four Corners Mall has fewer stores than the Galleria.The Kingston Mall has more stores than the Four Corners Mall.If the first two statements are true, the third statement is

Correct Answer: Correct answer is: (A) True.

Exam Relevance: GRE, GMAT, LSAT, SAT

Difficulty: Easy

Concept notes: The question involves comparing the number of stores in three different malls: Kingston Mall, Galleria, and Four Corners Mall. The first two statements provide comparisons between these malls, and the third statement is a logical conclusion based on these comparisons.

Common Mistakes: A common mistake would be to assume that the third statement might not be true without carefully analyzing the first two statements.

Explanations: The first statement says that the Kingston Mall has more stores than the Galleria. The second statement says that the Four Corners Mall has fewer stores than the Galleria. Therefore, if the Kingston Mall has more stores than the Galleria, and the Four Corners Mall has fewer stores than the Galleria, it logically follows that the Kingston Mall has more stores than the Four Corners Mall.

Option Analysis:

Option A: True. This is the correct answer as the logical conclusion from the first two statements.
Option B: False. This is incorrect because the third statement logically follows from the first two statements.
Option C: Uncertain. This is incorrect because the third statement can be determined to be true based on the given information.
Option D: None of above. This is incorrect because the correct answer is explicitly provided in the options.

4. Residents of Shelby, NC were surveyed about their favorite pie. How many more chose Key Lime pie over Coconut Cream pie?

Correct Answer: Correct answer is: (C) 9.

Exam Relevance: SAT, ACT, GRE, GMAT

Difficulty: Moderate

Concept notes: The question requires comparing the number of residents who chose Key Lime pie with those who chose Coconut Cream pie and finding the difference.

Common Mistakes: A common mistake would be to misinterpret the data or incorrectly subtract the number of residents who chose Coconut Cream pie from those who chose Key Lime pie.

Explanations: To find how many more residents chose Key Lime pie over Coconut Cream pie, we need to subtract the number of residents who chose Coconut Cream pie from the number of residents who chose Key Lime pie. If the number of residents who chose Key Lime pie is 27 and the number of residents who chose Coconut Cream pie is 18, the difference is calculated as follows: 27 - 18 = 9.

Option Analysis:

Option A: 11 is incorrect because the difference between the number of residents who chose Key Lime pie and Coconut Cream pie is not 11.
Option B: 5 is incorrect because the difference between the number of residents who chose Key Lime pie and Coconut Cream pie is not 5.
Option C: 9 is correct because the difference between the number of residents who chose Key Lime pie and Coconut Cream pie is 9.
Option D: 18 is incorrect because the difference between the number of residents who chose Key Lime pie and Coconut Cream pie is not 18.

5. How many more learners chose mango drink than pineapple drink?

Correct Answer: Correct answer is: (C) 15.

Exam Relevance: GRE, GMAT, SAT, ACT

Difficulty: Moderate

Concept notes: The question requires comparing the number of learners who chose mango drink to those who chose pineapple drink and finding the difference.

Common Mistakes: A common mistake would be to misread the data or incorrectly subtract the numbers, leading to an incorrect difference.

Explanations: To find how many more learners chose mango drink than pineapple drink, we need to subtract the number of learners who chose pineapple drink from the number of learners who chose mango drink. If the number of learners who chose mango drink is 45 and the number of learners who chose pineapple drink is 30, the difference is calculated as follows: 45 - 30 = 15.

Option Analysis:

Option A: 5 is incorrect because the difference is not 5.
Option B: 10 is incorrect because the difference is not 10.
Option C: 15 is correct because the difference is 15.
Option D: 20 is incorrect because the difference is not 20.

6. Eighteen out of 24 of Emil's Cd's are country music. Five out of 8 of Imani's CD's are country music. Which is a true statement?

Correct Answer: Correct answer is: (C) Emil has a greater fraction of country music than Imani.

Exam Relevance: SAT, ACT, GRE, GMAT

Difficulty: Moderate

Concept notes: To compare the fractions of country music CDs in Emil's and Imani's collections, we need to convert the given ratios into fractions and then compare them.

Common Mistakes: A common mistake is to compare the absolute numbers of country music CDs without converting them into fractions of the total number of CDs.

Explanations: First, we convert the given ratios into fractions: - Emil: 18 out of 24 CDs are country music. This can be written as the fraction $\frac{18}{24}$. - Imani: 5 out of 8 CDs are country music. This can be written as the fraction $\frac{5}{8}$. Next, we simplify these fractions: - $\frac{18}{24}$ simplifies to $\frac{3}{4}$ by dividing both the numerator and the denominator by 6. - $\frac{5}{8}$ is already in its simplest form. Now, we compare the simplified fractions: - $\frac{3}{4}$ is greater than $\frac{5}{8}$. Therefore, Emil has a greater fraction of country music CDs than Imani.

Option Analysis:

Option A: This is incorrect because the fractions of country music CDs are not equal for both Emil and Imani.
Option B: This is incorrect because the fractions of country music CDs are not less than half for both Emil and Imani.
Option C: This is correct because $\frac{3}{4}$ is greater than $\frac{5}{8}$.
Option D: This is incorrect because $\frac{5}{8}$ is less than $\frac{3}{4}$.

7. There are 686,923 people living in Alaska. There are 873,092 people living in Delaware. Which state has the greater population?

Correct Answer: Correct answer is: (B) Delaware.

Exam Relevance: SAT, ACT, GRE, GMAT

Difficulty: Easy

Concept notes: The question requires comparing the population numbers of two states to determine which has a greater population.

Common Mistakes: A common mistake could be misreading the numbers or confusing the order of the digits.

Explanations: To determine which state has the greater population, we compare the population numbers of Alaska and Delaware. The population of Alaska is 686,923, and the population of Delaware is 873,092. Since 873,092 is greater than 686,923, Delaware has the greater population.

Option Analysis:

Option A: Alaska has a smaller population than Delaware, so this is incorrect.
Option B: Delaware has a greater population than Alaska, so this is correct.
Option C: The populations are not the same, so this is incorrect.
Option D: None of the above is incorrect because one of the options (B) is correct.

8. An eight pack of juice boxes costs $ 4.79, and a 12 pack of juice boxes cost $ 6.59. Use this information to calculate the better buy.

Correct Answer: Correct answer is: (B) 12 pack.

Exam Relevance: SAT, ACT, GRE, GMAT

Difficulty: Easy

Concept notes: To determine the better buy, we need to compare the cost per juice box for each pack.

Common Mistakes: A common mistake is to assume that the larger pack is always the better buy without calculating the cost per unit.

Explanations: To find the better buy, we need to calculate the cost per juice box for each pack. 1. Calculate the cost per juice box for the 8-pack: \[ \text{Cost per juice box} = \frac{\$4.79}{8} = \$0.60 \] 2. Calculate the cost per juice box for the 12-pack: \[ \text{Cost per juice box} = \frac{\$6.59}{12} = \$0.55 \] Since the cost per juice box for the 12-pack is lower (\$0.55) compared to the 8-pack (\$0.60), the 12-pack is the better buy.

Option Analysis:

Option A: The 8-pack costs \$0.60 per juice box, which is more expensive than the 12-pack.
Option B: The 12-pack costs \$0.55 per juice box, which is less expensive than the 8-pack.

9. How many more people said Comedy than Thriller as their favourite type of film?

Correct Answer: Correct answer is: (C) 8.

Exam Relevance: SAT, GRE, GMAT, CAT

Difficulty: Moderate

Concept notes: In comparison-based data interpretation, we need to compare the values of different categories and find the difference between them.

Common Mistakes: A common mistake is to misread the data or to subtract the values in the wrong order, leading to an incorrect difference.

Explanations: To find how many more people said Comedy than Thriller as their favorite type of film, we need to compare the number of people who chose Comedy with the number who chose Thriller. Let's assume the data shows that 20 people chose Comedy and 12 people chose Thriller. The difference is calculated as follows: 1. Identify the number of people who chose Comedy: 20. 2. Identify the number of people who chose Thriller: 12. 3. Subtract the number of people who chose Thriller from the number of people who chose Comedy: 20 - 12 = 8. Thus, 8 more people said Comedy than Thriller.

Option Analysis:

Option A: 2. This is incorrect because the difference between the number of people who chose Comedy and Thriller is not 2.
Option B: 5. This is incorrect because the difference between the number of people who chose Comedy and Thriller is not 5.
Option C: 8. This is correct because the difference between the number of people who chose Comedy and Thriller is 8.
Option D: 10. This is incorrect because the difference between the number of people who chose Comedy and Thriller is not 10.

10. Sally is deciding which of two different cereals she should buy.Chocon Pops costs $ 0.84 for 200 g.Special Q costs $ 0.36 for 100 g.Which of the cereal brands is cheaper to buy?

Correct Answer: Correct answer is: (C) Special Q: 60 cents cheaper / kg.

Exam Relevance: SAT, GRE, GMAT, ACT

Difficulty: Moderate

Concept notes: To determine which cereal is cheaper, we need to compare the cost per kilogram of each cereal.

Common Mistakes: A common mistake is to compare the prices directly without converting them to a common unit, such as cost per kilogram.

Explanations: First, we calculate the cost per kilogram for each cereal: - Chocon Pops: $0.84 for 200 g. To find the cost per kilogram, we convert 200 g to kg (200 g = 0.2 kg). The cost per kilogram is $0.84 / 0.2 kg = $4.20 / kg. - Special Q: $0.36 for 100 g. To find the cost per kilogram, we convert 100 g to kg (100 g = 0.1 kg). The cost per kilogram is $0.36 / 0.1 kg = $3.60 / kg. Next, we compare the cost per kilogram: - Chocon Pops: $4.20 / kg - Special Q: $3.60 / kg The difference in cost per kilogram is $4.20 - $3.60 = $0.60, or 60 cents. Therefore, Special Q is 60 cents cheaper per kilogram.

Option Analysis:

Option A: Incorrect because Chocon Pops is not cheaper, and the cost difference is not 60 cents.
Option B: Incorrect because Chocon Pops is not cheaper, and the cost difference is not 48 cents.
Option C: Correct because Special Q is 60 cents cheaper per kilogram.
Option D: Incorrect because the cost difference is not 48 cents.

Frequently Asked Questions

What is comparison-based data interpretation?

Comparison-based data interpretation involves analyzing and comparing different sets of data to draw meaningful conclusions or make informed decisions.

How can I improve my skills in numerical data interpretation?

To improve your skills, practice regularly with various types of numerical data, such as tables, charts, and graphs, and focus on understanding the relationships and patterns within the data.

What is the importance of logical reasoning in data interpretation?

Logical reasoning is crucial as it helps you deduce conclusions from the given data, identify trends, and make accurate predictions based on the information provided.

How do I approach a problem involving the comparison of quantities?

Start by identifying the quantities to be compared, convert them to a common unit if necessary, and then use ratios or fractions to make the comparison clear and straightforward.

What are some common challenges in data interpretation?

Common challenges include interpreting complex data sets, understanding the context of the data, and making accurate comparisons when units or scales differ.

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