Bounded and Unbounded Feasible Region

Q.

What is meant by the median of a set of observations?

1. The highest value of the given set of observations.

2. The average value of the given set of observations.

3. The value of a given number of observations which divides it into exactly two parts.

4. The most frequently occuring value of the observation.

Q.

Solve for y : log₉y = 3

1. 625

2. 279

3. 144

4. 729

Q. Solve the following pair of linear equations in two variables (by graph) :
$(x+2)(y-1)=xy,(x-1)(y+1)=xy$

Q.

What is the median of the following data: 1, 4, 7, 3, 9, 5, 3, 2, 7, 5.

1. 4

2. 7

3. 4.5

4. 5

Q. Which of the following linear programming problems with the given constraints gives an unbounded feasible region

1. A linear programming problem with the constraints x ≥ 0 y ≥ 0, 3x+5y ≤ 15, 5x+2y ≤ 10

2. A linear programming problem with the constraints x ≥ 0 y ≥ 0, x + 2y ≤ 8, 3x+2y ≤ 1

3. A linear programming problem with the constraints x ≥ 0 y ≥ 0, 2x+y ≥ 3, x+2y ≥ 6

4. None of the options given