Chapter 5 Linear Inequalities & Linear Programming MCQs

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MCQ's with answers from chapter 5 Linear Inequalities and Linear Programming Mathematics book 2 for FSC pre engineering  for Board of Intermediate and Secondary education. Also For Entry Test Preparation for UET, NUST, PIEAS, GIKI, AIR, FAST, WAH University, other engineering Universities. 


Chapter 5 Linear Inequalities & Linear Programming
1.         Optimize means ________ a quantity under certain constraints:
           
a)      minimize
b)      maximize
c)      maximize or minimize
d)     none of the above
Answer:           c

2.         Which of them is associated equations?

a)      ax – by = c
b)      ax + by = c
c)      ax + by = - c
d)     none of the above
Answer:           b

3.         There are ______ feasible solutions in the feasible region.

a)      infinite
b)      finite
c)      defined
d)     none of above
Answer:           a

5.         Inequalities have _______ symbols.

a)      2
b)      3
c)      4
d)     1
Answer:           d

6.         The graph of linear equation 2x + 3y = 10

a)      // line
b)      curve
c)      zig zag
d)     straight line
Answer:           b
7.         Non negative constraints are called _______ variables.

a)      non – decision
b)      decision
c)      constant
d)     none of the above
Answer:           a

8.         The solution set of x < 4 is _______

            a)
            b)
            c)
            d)
            Answer:           c

9.         Corner point is also called _______

a)      code
b)      curve
c)      vertex
d)     none of the above
Answer:           c

10.       The solution set of x > 10 is ________

            a)
            b)
            c)
            d)
            Answer:           b

11.       3x + 4 > 0 is

a)      equation
b)      identity
c)      inequality
d)     none of these
Answer:           c

12.       3x + 4 ≥ 0 is

a)      equation
b)      inequality
c)      identity
d)     none of these
Answer:           b

13.       3x + 4 < 0 is

a)      inequality
b)      equation
c)      not inequality
d)     identity
Answer:           a

14.       3x + 4 ≤ 0 is

a)      not inequality
b)      equation
c)      identity
d)     inequality
Answer:           d

15.       3x + 4 = 0 is

a)      not inequality
b)      equation
c)      identity
d)     inequality
Answer:           b

16.       An expression involving any of the symbols  <, >, ≤ or ≥ is called

a)      equation
b)      inequality
c)      linear equation
d)     identity
Answer:           b

17.       2x + 3x > 4 is linear inequality in

a)      one variable
b)      two variables
c)      three variables
d)     none of these
Answer:           b

18.       ax + by < c is linear inequality in

a)      four variables
b)      three variables
c)      two variables
d)     one variable
Answer:           c

19.       The real numbers which satisfy an inequality form its

a)      solution
b)      coefficient
c)      domain
d)     range
Answer:           a

20.       x = 0 is in the solution of the inequality

a)      x > 0
b)      3x + 4 < 0
c)      2x – 3 < 0
d)     x – 2 < 0
Answer:           d

21.       x = 0 is in the solution of the inequality

a)      x + 1 < 0
b)      2x + 3 < 0
c)      2x – 3 < 0
d)     3 + x < 0
Answer:           c

22.       x = 1 is in the solution of the inequality
a)      x + 1 < 0
b)      2x – 4 < 0
c)      2x – 4 > 0
d)     x + 3 < 0
Answer:           b

23.       x = 1 is in the solution of the inequality

a)      x + 1 > 0
b)      x – 2 > 0
c)      3x – 1 < 0
d)     x + 2 < 0
Answer:           a

24.       x = - 1 is in the solution of inequality

a)      x + 5 < 0
b)      2x + 3 ≤ 0
c)      x > 0
d)     2x + 3 > 0
Answer:           d

25.       x = _____ is in the solution of 2x + 3 < 0

a)      0
b)      1
c)      – 1
d)     – 2
Answer:           d

26.       x = ______ is in the solution of 2x + 3 ≥ 0

a)      1
b)      – 2
c)      – 3
d)     – 4
Answer:           a

27.       x = ______ is in the solution of 2x – 3 < 0

a)      2
b)      – 2
c)      3
d)     4
Answer:           b

28.       x = _______ is in the solution of 2x – 5 > 0

a)      0
b)      2
c)      – 2
d)     3
Answer:           d

29.       The points (x, y) which satisfy a linear inequality in two variables x and y form its

a)      domain
b)      range
c)      solution
d)     none of these
Answer:           c

30.       The solution set of the inequality ax + by < c is

a)      straight line
b)      half plane
c)      parabola
d)     none of these
Answer:           b

31.       (0, 0) is in the solution of the inequality

a)      3x + 4y > 3
b)      x – 2y < 2
c)      x + 2y > 2
d)     2x – 3y > 5
Answer:           b

32.       (1, 1) is in the solution of the inequality

a)      3x + 4y > 3
b)      2x + 3y < 2
c)      4x – 3y > 5
d)     2x – 3y > 2
Answer:           a

33.       (1, 0) is in the solution of inequality

a)      3x + 2y > 8
b)      2x – 3y < 4
c)      2x + 3y > 3
d)     x – 2y < - 5
Answer:           b

34.       (0, 1) is in the solution of the inequality

a)      3x + 2y > 8
b)      2x – 3y < 4
c)      2x + 3y > 5
d)     x – 2y < - 5
Answer:           b

35.       (0, 1) is in the solution of inequality

a)      x – 2y > 0
b)      x – y < 2
c)      3x + 2y > 5
d)     3x – 2y < 2
Answer:           b

36.       (0, 0) is in the solution of the inequality.
a)      x + y > 3
b)      x – y > 2
c)      3x + 2y > 5
d)     3x – 2y < 2
Answer:           d
37.       (1, 2) is in the solution of the inequality

a)      2x + y > 8
b)      2x + y ≤ 6
c)      2x – y > 1
d)     2x + 3y < 2
Answer:           b

38.       The point ______ is in the solution of the inequality  2x – 3y < 5

a)      (1, 1)
b)      (2, 2)
c)      (0, 1)
d)     (0, 2)
Answer:           c

39.       The point ______ is in the solution of the inequality  2x – 3y > 5

a)      (1, -1)
b)      (2, 2)
c)      (2, - 2)
d)     (3, 3)
Answer:           d

40.       The point ______ is in the solution of the inequality  4x – 3y < 2

a)      (0, 1)
b)      (2, 1)
c)      (0, 0)
d)     (3, 0)
Answer:           a


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