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GRE Practice Test - Math - Geometry
GRE Practice Test - Math - Geometry
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GRE Practice Test - Math - Geometry
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The GRE Practice Test - Math - Geometry has been designed to test the important concepts related to geometry. The test covers important topics like determining area of a triangle, circle, square or rectangle, evaluating perimeter, different kinds of triangles, computing angles made by two hands of clock, calculating volume of a cylinder etc.
1.
A train travels 4 miles north from the platform, then 4 miles west, then 2 miles again north and then 4 miles west. How far is the train from the platform?
a.
14 miles
b.
10 miles
c.
12 miles
d.
12.5 miles
2.
Given A(-4,0), B(-2,0), C(-2,2). The triangle formed by joining these vertices will be:
a.
A right angle triangle
b.
An isosceles triangle
c.
Both a and b
d.
None of the above
3.
Find the number of revolutions made by the wheel per kilometer, with 14 cm radius.
a.
App.1000 revolutions
b.
App.1245 revolutions
c.
App.1136 revolutions
d.
App.1263 revolutions
4.
Find the number of spokes in the wheel of a cycle, given the angle between two consecutive spokes as 20°.
a.
18
b.
20
c.
36
d.
9
5.
An airjet flies 10 miles south, then 4 miles east, then 7 miles north and then 8 miles west where it finally landed. Find the shortest distance from the starting point of the journey and the point where it finally ends.
a.
7miles
b.
6 miles
c.
8 miles
d.
5 miles
6.
Find the supplement of angle 75°.
a.
105°
b.
90°
c.
15°
d.
125°
7.
Find the angle whose supplement divide by thrice its complement are in the ratio of 5:6.
a.
60°
b.
30°
c.
90°
d.
120°
8.
An ice-cream cone has the height of 7cm and diameter of 6 cm. Calculate the volume of the ice-cream that will be filled in this cone.
a.
164 cm³
b.
66 cm³
c.
124 cm³
d.
98 cm³
9.
Find the area of a triangle having sides 7m, 8m, and 9m.
a.
12v5m²
b.
30m²
c.
12v3m²
d.
8v5m²
10.
A solid metal cylinder having a radius of 5cm and height of 18 cm is melted down and recasted as a cone having radius of 3cm. Find the height of the cone.
a.
150cm
b.
100cm
c.
120cm
d.
125cm
11.
A rectangle has an area of 36 cm and perimeter of 30 cm. Find the larger side of it.
a.
15cm
b.
18cm
c.
10cm
d.
12cm
12.
A buffalo is tied to the ground with a rope. What should be the length of the rope, so that the buffalo can graze in 616m² area only?
a.
10m
b.
12m
c.
14m
d.
15m
13.
Calculate the total surface area of a cuboid whose dimensions are 12m, 10m and 5m.
a.
400m²
b.
460m²
c.
360m²
d.
480m²
14.
Calculate the volume of a sphere, which has a diameter of 42cm.
a.
38808cm³
b.
38888cm³
c.
30088cm³
d.
38080cm³
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