Chapter 5 Linear Inequalities & Linear Programming MCQs
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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