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

Question # 1

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

Boundary A
Inequality B
Half plane C
Vertex D

Question # 2

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

Parabola A
Circle B
Hyperbola C
Straight line D

Question # 3

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 # 4

ab > 0 and a > 0 then

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

Question # 5

The point (1,3) is one solution of

3x + 5y > 29 A
3x + 5y < 7 B
x + 2y < 4 C
x + 4y > 3 D

Question # 6

The point _________ is in the solution of the inequality 2x + 3y < 5

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

Question # 7

The corner point of the boundary lines, x- 2x
x+2y=10 is:

(8,1) A
(1,8) B
(6,10) C
(3,5) D

Question # 8

If 4 - x >5, then

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

Question # 9

ax + by < c is linear inequality in

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

Question # 10

Inequalities have ______ symbol

2 A
3 B
4 C
1 D

Question # 11

There may be ______ feasible solution in the feasible region

Infinite A
Finite B
Defined C
None of above D

Question # 12

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

Associated equation A
Non-associated equation B
disjoint equation C
Feasible equation D

Question # 13

(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 # 14

Optimal solution is found by evaluation the objective function at

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

Question # 15

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 # 16

r + 3 >5 then which is true

r + 2 > 4 A
r + 2 < 4 B
r + 2 = 4 C
None D

Question # 17

3x + 4 = 0 is

not inequality A
equation B
identity C
inequality D

Question # 18

x = ________ is in the solution of 2x - 3 < 0

2 A
-2 B
3 C
4 D

Question # 19

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 # 20

The solution set of x < 4 is

-∞< x < 4 A
-∞> x > 4 B
-∞< x < 2 C
-∞> x > 2 D

Question # 21

(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 # 22

Which is not a half plane

ax + by < c A
ax + by > c B
Both A and B C
None D

Question # 23

Which of the following ordered pair is a solution of the inequality x+2y<6?

(2,3) A
(2,2) B
(6,0) C
(1,1) D

Question # 24

The graph of y < 2 is the

Left half plane A
upper half plane B
Right half plane C
Lower half plane D

Question # 25

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

46 A
60 B
50 C
70 D

Question # 26

s > t then

(s - t)²> (t - s)² A
(s - t)²< (t - s)² B
(s - t)²= (t - s)² C
None D

Question # 27

The graph of y> 0 is the upper - half of:

y-axis A
x-axis B
1st and 4th quandrant C
2nd and 3rd quadrant D

Question # 28

A ________ divides the plane into left and right half planes.

Vertical line A
Horizontal line B
Non vertical line C
Inequality D

Question # 29

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

x - y = -6 A
x - y < -6 B
x - y > -6 C
None D

Question # 30

x = 1 is in the solution of the inequality

x + 1 > 0 A
x - 2 > 0 B
3x - 1 < 0 C
x + 2 < 0 D

Sr.#	Question	Answer
1	For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?	A. (3, 2) B. (2, 3) C. (1, 8) D. (0, 3)
2		A. p < r B. p > rr C. p + r < 0 D. p - r < 0
3	(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
4	(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
5	The real numbers which satisfy an inequality form its	A. solution B. coefficient C. domain D. range
6	x = ________ is in the solution of 2x - 5 > 0	A. 0 B. 2 C. -2 D. 3
7	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
8	Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0	A. (1,4) B. (4,2) C. (3,1) D. (4,1)
9	The solution set of the inequality ax + by < c is	A. straight line B. half plane C. parabola D. none of these
10	3x + 4 < 0 is	A. inequality B. equation C. identity D. not inequality

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