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Maths Linear Programming Class 12 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 12 · Maths · CBSE

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Chapter 12 Class 12 Linear Programming | 10 questions | about 8 minutes

Practise Linear Programming Class 12 with Teachoo's 10 Question MCQ (including Assertion) (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
CBSE Board Exam 2025
A factory produces two products X and Y . The profit earned by selling X and Y is represented by the objective function \(\mathrm{Z}=5 x+7 \mathrm{y}\), where \(x\) and y are the number of units of X and Y respectively sold. Which of the following statement is correct?
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Question 2 of 10
NCERT Exemplar
The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0).

The objective function is \(\mathrm{Z}=4 \mathrm{x}+3 \mathrm{y}\).
Compare the quantity in Column A and Column B

Column AColumn B
Maximum of Z325
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Question 3 of 10
NCERT Exemplar
The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let \(\mathrm{Z}=\mathrm{px}+\) qy, where \(\mathrm{p}, \mathrm{q}>0\). Condition on p and q so that the maximum of Z occurs at both the points \((15,15)\) and \((0,20)\) is
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Question 4 of 10
CBSE Board Exam 2024
Of the following, which group of constraints represents the feasible region given below?
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Question 5 of 10
CBSE Board Exam 2026
In the graph, the feasible region representing the Linear Programming Problem for maximising objective function \(\mathrm{Z}=\mathrm{px}+\mathrm{qy}, \mathrm{p}, \mathrm{q}>0\) is shaded. If all points on segment AB give max (Z), then which of the following is true?
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Question 6 of 10
NCERT Exemplar
Corner points of the feasible region for an LPP are \((0,2),(3,0),(6,0)\), \((6,8)\) and \((0,5)\).

Let \(F=4 x+6 y\) be the objective function.
The Minimum value of F occurs at
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Question 7 of 10
NCERT Exemplar
Feasible region (shaded) for a LPP is shown in the Fig. 12.6.
Minimum of \(\mathrm{Z}=4 \mathrm{x}+3 \mathrm{y}\) occurs at the point
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Question 8 of 10
NCERT Exemplar
The feasible solution for a LPP is shown in Fig. 12.12. Let \(Z=3 x-\) 4 y be the objective function. (Maximum value of \(\mathrm{Z}+\) Minimum value of Z) is equal to
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Question 9 of 10
NCERT Exemplar
The feasible solution for a LPP is shown in Fig. 12.12. Let \(Z=3 x-\) 4y be the objective function. Maximum of Z occurs at
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Question 10 of 10
CBSE Board Exam 2026
Assertion (A) : Consider a Linear Programming Problem with minimise \(\mathrm{Z}=\mathrm{x}+2 \mathrm{y}\) subject to constraints \(2 \mathrm{x}+\mathrm{y} \geq 3, \mathrm{x}+2 \mathrm{y} \geq 6\), \(\mathrm{x}, \mathrm{y} \geq 0\) which gives minimum Z at infinitely many points. The corner points of feasible region are \((0,3)\) and \((6,0)\).

Reason (R) : If two corner points produce the same minimum value of the objective function, then every point on the line segment joining the points will give the same minimum value.
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