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Mock GRE Quiz for Students
What is the slope of the line represented by the equation x + 2y = 1?
a)-3/2
b)-1
c)-½
d) 0
e) ½
Option c – -½
A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin and the square is to have an area of 100 units. If all coordinates of the vertices must be integers, how many different ways can this square be drawn?
a) 4
b) 6
c) 8
d) 10
e) 12
Option e – 12
The line 3x + 4y = 8 passes through all the quadrants in the plane except
a) I
b) II
c) III
d) IV
e) II & IV
Option c – III
In the xy-coordinate system, rectangle ABCD is inscribed within a circle having the equation x² + y²= 25; AC is diagonal of rectangle and lies on x-axis. Vertex B lies in quadrant II & D in IV. If side BC lies on line y = 3x + 15. Area of rectangle ABCD?
a) 15
b) 30
c) 40
d) 45
e) 50
Option b – 30
The line y=4-2x is bisector of line segment RP. Find coordinates of point P given that R is (4,1).
a) (-4,1)
b) (-2,2)
c) (0,1)
d) (0,-1)
e) (2,0)
Option d – (0,-1)
In the rectangular coordinate system, a line passes through points (0, 5) and (7,0). Which of the following points must the line also pass through?
a) (-14,10)
b) (-7,5)
c) (12,-4)
d) (14,-5)
e) (21,-9)
Option d – (14,-5)
In the xy-coordinate system, what is the slope of the line that goes through the origin and is equidistant from the two points P (1, 11) and Q (7, 7)?
a) 2
b) 2.25
c) 2.5
d) 2.75
e) 3
Option b – 2.25
Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 8?
a) 3x+4y=18
b) 3x-4y=24
c) 4x-3y=26
d) 1.5y + 2x = 18
e) 8x-6y=24
Option e – 8x-6y=24
In the xy-plane, link ‘m’ has positive slope and x-intercept is 4. If the area of the triangle formed by line m and the two axes is 12, find y-intercept of line?
a) 6
b) 4
c)-6
d) -8
e) 9
Option c – -6
Line P is defined by equation y – 5x = 4 and line M by 10y + 2x + 20 = 0. If line N does not intersect line P, find the degree measure of the angle formed by line N and line M.
a) 0
b) 30
c) 60
d) 90
e) Can’t be determined
Option d – 90
For any triangle T in the xy-coordinate plan, the center of T is defined to be the point whose x-coordinate and y-coordinate are the AMs of the x-coordinates and y-coordinates of the vertices of T respectively. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,2), what are the coordinates of the remaining vertex?
a) (3,4)
b) (3,6)
c) (4,9)
d) (6,4)
e) (9,6)
Option b – (3,6)
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