ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 21

Question # 1

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

(1,4) A
(4,2) B
(3,1) C
(4,1) D

Question # 2

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

120 A
100 B
140 C
160 D

Question # 3

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

Two similar regions A
Two disjoint regions B
Four equal parts C
One region D

Question # 4

The corner point of the boundary lines, x-2y
2x + y = 2 is:

(2,6) A
(6,2) B
(-2,2) C
(2,-2) D

Question # 5

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

3x + 2y > 8 A
2x - 3y < 4 B
2x + 3y > 5 C
x -2y < -5 D

Question # 6

x = 0 is in the solution of the inequality

x > 0 A
3x + 4 < 0 B
x + 3 < 0 C
x - 2 < 0 D

Question # 7

Which is in the solution set of 4x - 3y < 2

(3, 0) A
(4, 1) B
(1, 3) C
None D

Question # 8

3x + 4 > 0 is

equation A
identity B
inequality C
none of these D

Question # 9

There may be ______ feasible solution in the feasible region

Infinite A
Finite B
Defined C
None of above D

Question # 10

x = ________ is in the solution of 2x - 5 > 0

0 A
2 B
-2 C
3 D

Question # 11

Optimal solution is found by evaluation the objective function at

All point of feasible region A
Corner point B
Origin C
None D

Question # 12

Multiplying each side of an inequality by (-1) will:

Not effect A
Change the sign B
Become zero C
Not defined D

Question # 13

2x + 3y > 4 is a linear inequality in

one variable A
two variables B
three variables C
none of these D

Question # 14

x = _________ is in the solution of 2x + 3 < 0

0 A
2 B
-1 C
-2 D

Question # 15

The point ________ is in the solution of the inequality 4x - 3y < 2

(0,1) A
(2,1) B
(2,2) C
(3,3) D

Question # 16

A point where two of its boundary lines intersect is called

Corner point A
Feasible point B
Vertex C
Feasible solution D

Question # 17

ab > 0 and a > 0 then

a > b A
a < b B
a = b C
None D

Question # 18

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

3x + 2y > 8 A
2x - 3y < 4 B
2x + 3y > 3 C
x - 2y < -5 D

Question # 19

A point of a solution regions where two of its boundary lines intersect, is called:

Vertex of the solution A
Feasible point B
Point of inequality C
Null point of the solution region D

Question # 20

If -1 < x < 0, which of the following statements must be true?

x < x²< x³ A
x < x³< x² B
x²< x³< x C
x²< x < x³ D

Question # 21

If x < y, 2x = A, and 2y = B, then

A = B A
A < B B
A < x C
B < y D

Question # 22

If ab > 0 and a < 0, which of the following is negative?

b A
-b B
-a C
(a - b)² D

Question # 23

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

x + y > 3 A
x - y > 2 B
3x + 2y > 5 C
3x - 2y < 2 D

Question # 24

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

Half planes A
Boundary B
Linear Inequalities C
Feasible regions D

Question # 25

Optimize means ______ a quantity under certain constraints

Minimize A
Maximize B
Maximize or minimize C
None of these D

Question # 26

If 4 - x >5, then

x > 1 A
x > -1 B
x < 1 C
x < -1 D

Question # 27

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

3x + 4y > 3 A
2x + 3y < 2 B
4x = 3y > 5 C
2c - 3y > 2 D

Question # 28

(2, 1) is in the solution of the inequality

2x + y > 7 A
x - y > 2 B
3x + 5y < 6 C
2x + y < 6 D

Question # 29

ax + by < c is linear inequality in

four variables A
three variables B
two variables C
one variable D

Question # 30

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

Zero A
one B
negative constant C
Non negative constant D

Sr.#	Question	Answer
1	3x + 4 > 0 is	A. equation B. inequality C. identity D. none of these
2	The real numbers which satisfy an inequality form its	A. solution B. coefficient C. domain D. range
3	If 4 - x >5, then	A. x > 1 B. x > -1 C. x < 1 D. x < -1
4	Optimal solution is found by evaluation the objective function at	A. All point of feasible region B. Corner point C. Origin D. None
5	3x + 4 > 0 is	A. equation B. identity C. inequality D. none of these
6	Inequalities have ______ symbol	A. 2 B. 3 C. 4 D. 1
7	Multiplying each side of an inequality by (-1) will:	A. Not effect B. Change the sign C. Become zero D. Not defined
8	The points (x, y) which satisfy a linear inequality in two variables x and y from its	A. domain B. range C. solution D. none of these
9	If ab > 0 and a < 0, which of the following is negative?	A. b B. -b C. -a D. (a - b)²
10	The total cost of 2 apples and 3 oranges is $1.70, which of the following is true	A. The cost of one apple B. The cost of one orange C. Both have equal cost per item D. Cost of each single item can not be determined

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