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Maths Linear Programming Class 12 MCQ and Assertion Questions

Short Quiz · Class 12 · Maths · CBSE

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Chapter 12 Class 12 Linear Programming | 5 questions | about 4 minutes

Practise Linear Programming Class 12 with Teachoo's Short Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
NCERT Exemplar
Corner points of the feasible region determined by the system of linear constraints are \((0,3),(1,1)\) and \((3,0)\). Let \(Z=p x+q y\), where \(p, q>0\). Condition on \(p\) and \(q\) so that the minimum of \(Z\) occurs at \((3,0)\) and \((1,1)\) is
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Question 2 of 5
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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Question 3 of 5
CBSE Board Exam 2025
Assertion (A) : Every point of the feasible region of a Linear Programming Problem is an optimal solution.
Reason (R) : The optimal solution for a Linear Programming Problem exists only at one or more corner point(s) of the feasible region.
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Question 4 of 5
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 5 of 5
NCERT Exemplar
The feasible solution for a LPP is shown in Fig. 12.12. Let \(Z=3 x-\) 4y be the objective function. Minimum of Z occurs at
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