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GRE FREE Mock test with Score for Students
The total of the interior angles of a regular polygon is twice the total of its exterior angles. This polygon is
a) Octagon
b) Nonagon
c) Decagon
d) Hexagon
e) None of these
Option d – Hexagon
In a regular polygon, each exterior angle measures 40°. Determine the number of sides of the polygon.
a) 8
b) 9
c) 6
d) 7
e) None of these
Option b – 9
The difference between an interior angle and an exterior angle of a regular polygon is 60°. Find how many sides it has.
a) 5
b) 6
c) 8
d) 10
e) None of these
Option b – 6
Two straight lines that are parallel and lie in the same plane will
a) Meet at one point
b) Meet at two points
c) Never intersect
d) Intersect at infinitely many points
e) None of these
Option c – Never intersect
The path traced by the midpoint of equal chords in a circle is
a) Circle
b) Square
c) Pentagon
d) Hexagon
e) None of these
Option a – Circle
How many points can a straight line intersect a circle at?
a) Two
b) Three
c) One
d) Infinite
e) None of these
Option a – Two
The number of circles that can pass through 5 points that are not on the same line is
a) 2
b) 10
c) 5
d) 6
e) None of these
Option b – 10
Two chords in a circle are equal in length if and only if
a) Their arcs are equal
b) The chords share a common point
c) Their perpendicular distances from the center are equal
d) Either (a) or (c)
e) None of these
Option c – Their perpendicular distances from the center are equal
If circles are drawn using the four sides of a rhombus as diameters, will they pass through a common point?
a) Yes
b) No
c) Possibly
d) Depends on the circle or rhombus
e) None of these
Option a – Yes
If a cyclic quadrilateral has opposite sides equal, then it must be a
a) Rectangle
b) Square
c) Rhombus
d) Parallelogram
e) None of these
Option a – Rectangle
In a cyclic hexagon ABCDEF, the sum of alternate angles B, D, and F is
a) 180°
b) 360°
c) 270°
d) 90°
e) None of these
Option a – 180°
The SET of all points at a constant distance from a fixed point is a
a) Straight line
b) Circle
c) Arc
d) Square
e) None of these
Option b – Circle
The SET of all points at a distance a from a given straight line is
a) A line parallel to the given line, a units away
b) A line perpendicular to the given line
c) Two parallel lines, one on each side at a distance a
d) An angle through distance a
e) None of these
Option c – Two parallel lines, one on each side at a distance a
The path of a point equally distant from two parallel lines is
a) Another parallel line
b) A line at 45°
c) A straight line exactly halfway between them
d) A line intersecting both parallel lines
e) None of these
Option c – A straight line exactly halfway between them
In a trapezium ABCD where AD, PQ, and BC are parallel, the length of QC is
a) 8
b) 18
c) 12.5
d) 16.2
e) None of these
Option b – 18
If an arc creates a 45° angle at any point on the circumference, what angle will it subtend at the center?
a) 135°
b) 90°
c) 45°
d) 18°
e) None of these
Option b – 90°
The angle in a segment larger than a semicircle is
a) Greater than 90°
b) Less than 90°
c) Equal to 90°
d) Any value
e) None of these
Option b – Less than 90°
If all four vertices of a quadrilateral lie on a circle, then the sum of each pair of opposite angles is
a) 180°
b) Greater than 180°
c) Less than 180°
d) 360°
e) None of these
Option a – 180°
In a pentagon ABCDE, if quadrilaterals ABCD and BCDE are cyclic, then the pentagon is
a) Cyclic
b) Non-cyclic
c) Concave
d) Cannot say
e) None of these
Option a – Cyclic
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