MCQ - Inequalities | Business Mathematics and Logical Reasoning & Statistics - CA Foundation

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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 > 10,300,000 
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