Chapter 5 Linear Inequalities And Linear Programming Math 12th Class Punjab MCQ Tests
12th Class Math Chapter 5 MCQ Tests
Chapter 5 of 12th Class Math has 20 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 20
Total Marks: 20
Time: 20 Mins
Total Questions: 20
Total Marks: 20
Time: 20 Mins
20Min : 00 Sec Remaining
Question # 1
The graph in the figure represents the inequality _____.
Question # 2
A car that averages 25 miles per gallon has a tank that holds 20 gallons of gasoline. After a trip that covered at least 300 miles, the car ran out of gasoline. What is the range of the amount of gasoline (in gallons) that was in the tank at the start of the trip?
Question # 3
The solution set of the inequality a x + b y < c is _____.
Question # 4
The point _____ is in the solution set of the inequality 2 x + 3 y < 5.
Question # 5
If capacity c of a lift is at most 1200 pounds, c is expressed mathematically as:
Question # 6
A small factory produces two types of toys: trucks and bicycles. In the manufacturing process two machines are used, the lathe and the assembler. The table shows the length of time needed for each toy. The lathe can be operated for 16 hours a day and there are two assemblers which can each be used for 12 hours a day. Each bicycle gives a profit of $ 16 and each truck gives a profit of $ 14. Which maximum value of the profit can be achieved?
Question # 7
The minimum value of C = 3 x + 4 y ; subject to the constraints: 3 x − 4 y ≤ 12 , x + 2 y ≥ 4 , x ≥ 1 , y ≥ 0 is:
Question # 8
z = 2 x + 3 y is maximum at _____ subject to the constraints: 3 x + 4 y ≤ 12 , 2 x + y ≤ 4 , 4 x − y ≤ 4 , x , y ≥ 0.
Question # 9
A farmer possess 100 canals of lands and wants to grow corn and wheat. Cultivation of corn requires 3 hours per canal while cultivation of wheat requires 2 hours per canal. Working hours cannot exceed 240 . If he gets a profit of Rs. 20 per canal for corn and Rs. 15 per canal for wheat, how many canals of each he should cultivate to maximize his profit?
Question # 10
Which of the following systems of inequalities has the graph shown in figure?
Question # 11
There are _____ feasible solution(s) in the feasible region.
Question # 12
( 1 , 1 ) is in the solution set of the inequality:
Question # 13
The corner points of the feasible region for the graph of following system of inequalities 5 x + 7 y ≤ 35 , x − 2 y ≤ 4 , x ≥ 0 , y ≥ 0 are:
Question # 14
The graph shows the inequality:
Question # 15
The associated equation or corresponding equation of 3 x + 4 y ≤ 15 will be:
Question # 16
Find the corner points of the feasible region for the graph of following system of inequalities x + y ≤ 5 , − 2 x + y ≥ 2 , x ≥ 0.
Question # 17
A manufacturer wants to make two types of concrete. Each bag of A -grade concrete contains 8 kilograms of gravel (small pebbles with coarse sand) and 4 kilograms of cement while each bag of B -grade concrete contains 12 kilograms of gravel and two kilograms of cement. If there are 1920 kilograms of gravel and 480 kilograms of cement, then find the corner points of the feasible region for the graph under the given restrictions.
Question # 18
Consider you need to buy some new filing cabinets. You know that it is $ 10 per unit to buy Cabinet X , which holds 8 cubic feet of files and requires floor space of 6 square feet. On the other hand, it is $ 20 for every unit of Cabinet Y which requires floor space of 8 square feet and holds about 5 cubic feet of files. For this purchase, you have been given $ 140 but dont really have to spend all of it. The space in the office only has room for a maximum of seventy-two square feet of furniture. To maximize the volume of files you can store, how many of which model do you need to buy?
Question # 19
Write the equation of the boundary line − 4 x + 7 y ≤ 28 in slope-intercept form.
Question # 20
The graph shown in the figure represents the inequality _____.
Total Questions
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Question # 1
The graph in the figure represents the inequality _____.
Question # 2
A car that averages 25 miles per gallon has a tank that holds 20 gallons of gasoline. After a trip that covered at least 300 miles, the car ran out of gasoline. What is the range of the amount of gasoline (in gallons) that was in the tank at the start of the trip?
Question # 3
The solution set of the inequality a x + b y < c is _____.
Question # 4
The point _____ is in the solution set of the inequality 2 x + 3 y < 5.
Question # 5
If capacity c of a lift is at most 1200 pounds, c is expressed mathematically as:
Question # 6
A small factory produces two types of toys: trucks and bicycles. In the manufacturing process two machines are used, the lathe and the assembler. The table shows the length of time needed for each toy. The lathe can be operated for 16 hours a day and there are two assemblers which can each be used for 12 hours a day. Each bicycle gives a profit of $ 16 and each truck gives a profit of $ 14. Which maximum value of the profit can be achieved?
Question # 7
The minimum value of C = 3 x + 4 y ; subject to the constraints: 3 x − 4 y ≤ 12 , x + 2 y ≥ 4 , x ≥ 1 , y ≥ 0 is:
Question # 8
z = 2 x + 3 y is maximum at _____ subject to the constraints: 3 x + 4 y ≤ 12 , 2 x + y ≤ 4 , 4 x − y ≤ 4 , x , y ≥ 0.
Question # 9
A farmer possess 100 canals of lands and wants to grow corn and wheat. Cultivation of corn requires 3 hours per canal while cultivation of wheat requires 2 hours per canal. Working hours cannot exceed 240 . If he gets a profit of Rs. 20 per canal for corn and Rs. 15 per canal for wheat, how many canals of each he should cultivate to maximize his profit?
Question # 10
Which of the following systems of inequalities has the graph shown in figure?
Question # 11
There are _____ feasible solution(s) in the feasible region.
Question # 12
( 1 , 1 ) is in the solution set of the inequality:
Question # 13
The corner points of the feasible region for the graph of following system of inequalities 5 x + 7 y ≤ 35 , x − 2 y ≤ 4 , x ≥ 0 , y ≥ 0 are:
Question # 14
The graph shows the inequality:
Question # 15
The associated equation or corresponding equation of 3 x + 4 y ≤ 15 will be:
Question # 16
Find the corner points of the feasible region for the graph of following system of inequalities x + y ≤ 5 , − 2 x + y ≥ 2 , x ≥ 0.
Question # 17
A manufacturer wants to make two types of concrete. Each bag of A -grade concrete contains 8 kilograms of gravel (small pebbles with coarse sand) and 4 kilograms of cement while each bag of B -grade concrete contains 12 kilograms of gravel and two kilograms of cement. If there are 1920 kilograms of gravel and 480 kilograms of cement, then find the corner points of the feasible region for the graph under the given restrictions.
Question # 18
Consider you need to buy some new filing cabinets. You know that it is $ 10 per unit to buy Cabinet X , which holds 8 cubic feet of files and requires floor space of 6 square feet. On the other hand, it is $ 20 for every unit of Cabinet Y which requires floor space of 8 square feet and holds about 5 cubic feet of files. For this purchase, you have been given $ 140 but dont really have to spend all of it. The space in the office only has room for a maximum of seventy-two square feet of furniture. To maximize the volume of files you can store, how many of which model do you need to buy?
Question # 19
Write the equation of the boundary line − 4 x + 7 y ≤ 28 in slope-intercept form.
Question # 20
The graph shown in the figure represents the inequality _____.
Total Questions
1234567891011121314151617181920
Math MCQ Test by Topics
- +5.1 Introduction
- +5.2 Linear Inequalities
- +5.2.1 Graphing of A Linear Inequality in Two Variables
- +5.3 Region Bounded by 2 or 3 simultaneous Inequalities
- +5.1 Exercise
- +5.4 Problem Constraints
- +5.5 Feasible Solution Set
- +5.2 Exercise
- +5.6 Linear programming
- +5.7 Linear Programming Problems
- +5.3 Exercise
Math
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Updated on: 17-05-2026
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