MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Set-A

Linear Programming Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Linear Programming Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 12 Quiz

Class 12 Maths Chapter 12 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Linear Programming Class 12 Maths MCQ online test

Q1.	Feasible region in the set of points which satisfy
	A. The objective functions
	B. Some the given constraints
	C. All of the given constraints
	D. None of these

Ans: All of the given constraints

Q2.	Of all the points of the feasible region for maximum or minimum of objective function the points
	A. Inside the feasible region
	B. At the boundary line of the feasible region
	C. Vertex point of the boundary of the feasible region
	D. None of these

Ans: Vertex point of the boundary of the feasible region

Q3.	Objective function of a linear programming problem is
	A. a constraint
	B. function to be obtimized
	C. A relation between the variables
	D. None of these

Ans: function to be obtimized

Q4.	A set of values of decision variables which satisfies the linear constraints and nn-negativity conditions of a L.P.P. is called its
	A. Unbounded solution
	B. Optimum solution
	C. Feasible solution
	D. None of these

Ans: Feasible solution

Q5.	The maximum value of the object function Z = 5x + 10 y subject to the constraints x + 2y ≤ 120, x + y ≥ 60, x – 2y ≥ 0, x ≥ 0, y ≥ 0 is
	A. 300
	B. 600
	C. 400
	D. 800

Ans: 600

Q6.	The maximum value of Z = 4x + 2y subject to the constraints 2x + 3y ≤ 18, x + y ≥ 10, x, y ≤ 0 is
	A. 36
	B. 40
	C. 30
	D. None of these

Ans: None of these

Q7.	In equation 3x – y ≥ 3 and 4x – 4y > 4
	A. Have solution for positive x and y
	B. Have no solution for positive x and y
	C. Have solution for all x
	D. Have solution for all y

Ans: Have solution for positive x and y

Q8.	The maximum value of Z = 3x + 4y subjected to contraints x + y ≤ 40, x + 2y ≤ 60, x ≥ 0 and y ≥ 0 is
	A. 120
	B. 140
	C. 100
	D. 160

Ans: 140

Q9.	Maximize Z = 11 x + 8y subject to x ≤ 4, y ≤ 6, x + y ≤ 6, x ≥ 0, y ≥ 0.
	A. 44 at (4, 2)
	B. 60 at (4, 2)
	C. 62 at (4, 0)
	D. 48 at (4, 2)

Ans: 60 at (4, 2)

Q10.	Maximize Z = 3x + 5y, subject to x + 4y ≤ 24, 3x + y ≤ 21, x + y ≤ 9, x ≥ 0, y ≥ 0
	A. 20 at (1, 0)
	B. 30 at (0, 6)
	C. 37 at (4, 5)
	D. 33 at (6, 3)

Ans: 37 at (4, 5)

Q11.	Maximize Z = 4x + 6y, subject to 3x + 2y ≤ 12, x + y ≥ 4, x, y ≥ 0
	A. 16 at (4, 0)
	B. 24 at (0, 4)
	C. 24 at (6, 0)
	D. 36 at (0, 6)

Ans: 36 at (0, 6)

Q12.	Maximize Z = 7x + 11y, subject to 3x + 5y ≤ 26, 5x + 3y ≤ 30, x ≥ 0, y ≥ 0
	A. 59 at (\(\frac{9}{2}\), \(\frac{5}{2}\))
	B. 42 at (6, 0)
	C. 49 at (7, 0)
	D. 57.2 at (0, 5.2)

Ans: 59 at (\(\frac{9}{2}\), \(\frac{5}{2}\))

Q13.	Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0
	A. 12 at (2, 0)
	B. \(\frac{140}{3}\) at (\(\frac{2}{3}\), \(\frac{1}{3}\))
	C. 16 at (2, 1)
	D. 4 at (0, 1)

Ans: 16 at (2, 1)

Q14.	Maximize Z = 10 x₁ + 25 x₂, subject to 0 ≤ x₁ ≤ 3, 0 ≤ x₂ ≤ 3, x₁ + x₂ ≤ 5
	A. 80 at (3, 2)
	B. 75 at (0, 3)
	C. 30 at (3, 0)
	D. 95 at (2, 3)

Ans: 95 at (2, 3)

Q15.	Z = 20x₁ + 20₂, subject to x₁ ≥ 0, x₂ ≥ 0, x₁ + 2x₂ ≥ 8, 3x₁ + 2x₂ ≥ 15, 5x₁ + 2x₂ ≥ 20. The minimum value of Z occurs at
	A. (8, 0)
	B. (\(\frac{5}{2}\), \(\frac{15}{4}\))
	C. (\(\frac{7}{2}\), \(\frac{9}{4}\))
	D. (0, 10)

Ans: (\(\frac{7}{2}\), \(\frac{9}{4}\))

Q16.	Z = 6x + 21 y, subject to x + 2y ≥ 3, x + 4y ≥ 4, 3x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
	A. (4, 0)
	B. (28, 8)
	C. (2, \(\frac{7}{2}\))
	D. (0, 3)

Ans: (2, \(\frac{7}{2}\))

Q17.

The corner point 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 Z = 4x + 3y.
Compare the quantity in Column A and Column B

Column A	Column B
Maximum of Z	325

A. The quantity in column A is greater

B. The quantity in column B is greater

C. The two quantities are equal

D. The relationship cannot be determined On the basis of the information supplied

Ans: The quantity in column B is greater

Q18.	The feasible region for a LPP is shown shaded in the figure. Let Z = 3x – 4y be the objective function. Minimum of Z occurs at
	A. (0, 0)
	B. (0, 8)
	C. (5, 0)
	D. (4, 10)

Ans: (0, 8)

Q19.	Refer to Question 18 maximum of Z occurs at
	A. (5, 0)
	B. (6, 5)
	C. (6, 8)
	D. (4, 10)

Ans: (5, 0)

Q20.	Refer to Question 18 (Maximum value of Z+ Minimum value of Z) is equal to
	A. 13
	B. 1
	C. -13
	D. -17

Ans: -17

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers

MCQ Questions for Class 12 Maths Chapter 12 Linear Programming with Answers Set-A

Linear Programming Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 12 Quiz

Class 12 Maths Chapter 12 MCQ Online Test

Linear Programming Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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