Class 9 Mathematics · Chapter 5 · Test 3
Feasible Region and Optimization
40 MCQs
40 questions · 35 min · 40 marks
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Sample questions
The first 5 of 40. Try each one, then tap to see the answer.
Question 1
Each linear inequality concerning a real-life problem is called a:
- Aproblem constraint
- Bobjective function
- Cvertex
- Ddecision variable
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Answer: A
Each inequality of the problem is named a problem constraint.
Question 2
The system of linear inequalities involved in a problem is called:
- Aobjective functions
- Bfeasible solutions
- Cproblem constraints
- Dcorner points
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Answer: C
The whole system of inequalities forms the problem constraints.
Question 3
The non-negative constraints for variables x and y are:
- Ax ≤ 0 and y ≤ 0
- Bx < 0 and y < 0
- Cx = 0 and y = 0
- Dx ≥ 0 and y ≥ 0
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Answer: D
Real-life quantities cannot be negative so x ≥ 0 and y ≥ 0.
Question 4
The variables used in the system of linear inequalities of a real-life problem are called:
- Aconstants
- Bdecision variables
- Cobjective variables
- Dcorner variables
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Answer: B
Non-negative variables used for taking decisions are called decision variables.
Question 5
The solution region restricted to the first quadrant is called:
- Aobjective region
- Bfeasible region
- Csolution region
- Dconstraints region
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Answer: B
A region restricted to the first quadrant is the feasible region.
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