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Best GRE Practice test for Students
Two circles share the same center and have radii measuring 28 cm and 35 cm. What is the approximate area enclosed between them if the central angle is 40°?
(a) 150
(b) 154
(c) 160
(d) 164
Option b – 154
The front and rear wheels of Manav’s Victor bike have diameters of 56 cm and 70 cm respectively. If his college is 3.5 km away, by how many revolutions will the two wheels differ?
(a) 390
(b) 407
(c) 367
(d) 398
Option d – 398
Manuj cut out the largest possible circular shape from a rectangular sheet measuring 35 cm by 28 cm. What area of the sheet remains unused?
(a) 42
(b) 40
(c) 37
(d) 34
Option c – 37
Trees were planted on both sides of a 1.3 km road, spaced every 5 meters. Approximately how many trees were planted?
(a) 522
(b) 526
(c) 540
(d) none
Option a – 522
If similar saplings are planted around a circular field with a radius of 28 meters, how many saplings would be required?
(a) 34
(b) 35
(c) 36
(d) 38
Option c – 36
Rahul has created a curved walkway around his farmhouse stretching 3 km in length. Using the same type of saplings spaced 5 meters apart, how many saplings are needed?
(a) 600
(b) 599
(c) 601
(d) 602
Option a – 600
A square plot covering 9 hectares was split into four equal parts by placing two perpendicular fences across the diagonals. What is the perimeter of one of the resulting segments?
(a) 300
(b) 400
(c) 500
(d) 600
Option d – 600
A triangle has sides measuring 48 cm, 50 cm, and 14 cm. What is the difference between its longest and shortest altitudes?
(a) 34
(b) 24
(c) 39
(d) 29
Option a – 34
A circle with an area of 192π square cm is drawn inside an equilateral triangle. What is the perimeter of that triangle?
(a) 156
(b) 145
(c) 144
(d) 212
Option c – 144
A triangle has both an incircle and a circumcircle. What is the ratio of the areas of the incircle to the circumcircle?
(a) 1 : 4
(b) 1 : 2
(c) 4 : 1
(d) 2 : 1
Option a – 1 : 4
A wire of length 264 cm is shaped into a circle, an equilateral triangle, and a square. Which shape encloses the greatest area?
(a) circle
(b) triangle
(c) square
(d) all equal
Option a – circle
If the same 264 cm wire is shaped into a circle, a square, and a triangle, what is the approximate difference between the shape with the largest area and the one with the smallest?
(a) 250
(b) 500
(c) 750
(d) 1000
Option b – 500
Tanush, Navansh, and Vriddhi are given a 132 cm wire each. They make a square, a triangle, and a circle respectively. Whose shape encloses an area that is neither the largest nor the smallest?
(a) Tanush
(b) Navansh
(c) Vriddhi
(d) All Equal
(e) None of these
Option a – Tanush
A 90-meter wire is used to fence a rectangular plot. What is the maximum area that can be enclosed using this wire?
(a) 1800
(b) 1900
(c) 2000
(d) Data inadequate
(e) None of these
Option c – 2000
A circle is perfectly inscribed within a square. What is the ratio of the area of the circle to the area of the square?
(a) 4 : π
(b) π : 4
(c) 11 : 7
(d) 7 : 11
Option b – π : 4
A square is perfectly inscribed within a circle. What is the ratio of the area of the square to that of the circle?
(a) 4 : π
(b) π : 4
(c) 11 : 7
(d) 7 : 11
Option d – 7 : 11
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