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Page 1 CPT Section D Quantitative Aptitude Chapter 3 J.P.SHARMA Page 2 CPT Section D Quantitative Aptitude Chapter 3 J.P.SHARMA The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 410 customers. The small tables can seat 4 customers, while the large tables can seat 8 customers. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small tables • y = the number of large tables • ? 4x + 8y = 410 • ? 4x + 8y > 410 • ?4x + 8y = 410 • ?4x + 8y < 410 Page 3 CPT Section D Quantitative Aptitude Chapter 3 J.P.SHARMA The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 410 customers. The small tables can seat 4 customers, while the large tables can seat 8 customers. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small tables • y = the number of large tables • ? 4x + 8y = 410 • ? 4x + 8y > 410 • ?4x + 8y = 410 • ?4x + 8y < 410 In order to earn some extra money, Nate is mowing lawns. He charges Rs.14 to mow a small lawn and Rs.29 to mow a large lawn. He would like to make at least Rs.100. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small lawns • y = the number of large lawns • ?14x + 29y = 100 • ?29x + 14y = 100 • ?29x + 14y = 100 • ?14x + 29y = 100 Page 4 CPT Section D Quantitative Aptitude Chapter 3 J.P.SHARMA The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 410 customers. The small tables can seat 4 customers, while the large tables can seat 8 customers. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small tables • y = the number of large tables • ? 4x + 8y = 410 • ? 4x + 8y > 410 • ?4x + 8y = 410 • ?4x + 8y < 410 In order to earn some extra money, Nate is mowing lawns. He charges Rs.14 to mow a small lawn and Rs.29 to mow a large lawn. He would like to make at least Rs.100. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small lawns • y = the number of large lawns • ?14x + 29y = 100 • ?29x + 14y = 100 • ?29x + 14y = 100 • ?14x + 29y = 100 Ella is purchasing tickets at the county fair. A ride on the Ferris wheel requires 1 ticket and a ride on the roller coaster requires 2 tickets. She has enough money to purchase a maximum of 44 tickets. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. •x = the number of Ferris wheel rides •y = the number of roller coaster rides 2 + x + 1 + y = 44 2x + y = 44 1 + x + 2 + y = 44 x + 2y = 44 Page 5 CPT Section D Quantitative Aptitude Chapter 3 J.P.SHARMA The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 410 customers. The small tables can seat 4 customers, while the large tables can seat 8 customers. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small tables • y = the number of large tables • ? 4x + 8y = 410 • ? 4x + 8y > 410 • ?4x + 8y = 410 • ?4x + 8y < 410 In order to earn some extra money, Nate is mowing lawns. He charges Rs.14 to mow a small lawn and Rs.29 to mow a large lawn. He would like to make at least Rs.100. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of small lawns • y = the number of large lawns • ?14x + 29y = 100 • ?29x + 14y = 100 • ?29x + 14y = 100 • ?14x + 29y = 100 Ella is purchasing tickets at the county fair. A ride on the Ferris wheel requires 1 ticket and a ride on the roller coaster requires 2 tickets. She has enough money to purchase a maximum of 44 tickets. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. •x = the number of Ferris wheel rides •y = the number of roller coaster rides 2 + x + 1 + y = 44 2x + y = 44 1 + x + 2 + y = 44 x + 2y = 44 For tax purposes, a large corporation wants to spend more than Rs.10,300,000 on charitable works. The company is told that, in a developing country, it can build a hospital for Rs.2,380,000 and a school for Rs.13,500. • Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. • x = the number of hospitals built • y = the number of schools built • 2,380,000x + 13,500y > 10,300,000 • 2,380,000x + 13,500y = 10,300,000 • 13,500x + 2,380,000y = 10,300,000 • 13,500x + 2,380,000y > 10,300,000Read More
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FAQs on MCQ - Inequalities - Quantitative Aptitude for CA Foundation
| 1. What are inequalities in mathematics? |  |
Ans. Inequalities in mathematics are mathematical expressions that compare two values and determine the relationship between them. They are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to).
| 2. How are inequalities solved in mathematics? | |
Ans. Inequalities are solved by identifying the variable, determining the direction of the inequality (greater than or less than), performing operations to isolate the variable, and finding the solution set. The solution set represents the values that satisfy the inequality.
| 3. What is the importance of inequalities in real-life situations? | |
Ans. Inequalities are important in real-life situations as they help in making decisions and comparisons. They are used to represent constraints, limitations, or conditions in various fields such as economics, engineering, and social sciences. For example, inequalities can be used to determine the maximum or minimum values of a product based on its production cost and demand.
| 4. Can inequalities have more than one solution? | |
Ans. Yes, inequalities can have more than one solution. Inequalities with the symbols ≤ or ≥ have inclusive solutions, meaning that the values equal to the given inequality are also considered solutions. On the other hand, inequalities with the symbols < or > have exclusive solutions, where the values equal to the given inequality are not included in the solution set.
| 5. How do inequalities differ from equations in mathematics? | |
Ans. Inequalities and equations differ in the sense that equations represent equality, while inequalities represent inequality or a range of values. Equations have a single solution, whereas inequalities can have multiple solutions. Additionally, equations are often solved to find the exact value of the variable, while inequalities are solved to find a range of values that satisfy the given conditions.
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