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FREE GRE Mock test with Answers for Students
The dimensions of a rectangular box are in the ratio 5 : 4 : 2, and its total surface area is 1216 sq. cm. What is the volume of the box in cubic centimeters?
(a) 1490
(b) 2340
(c) 2560
(d) 3270
(e) None of these
Option c – 2560
A tank measuring 25 cm in length, 20 cm in width, and 12 cm in depth is filled with water up to 5 cm. If a metal cube with 8 cm sides is placed flat at the bottom, how many liters of water are needed to completely cover the cube?
(a) 1.024
(b) 8
(c) 5
(d) 7
(e) None of these
Option b – 8
A Solid cube with 8 cm edge is melted and drawn into a wire of 0.35 mm thickness. What is the approximate length of wire that can be formed (in meters)?
(a) 40
(b) 53
(c) 62
(d) 76
(e) None of these
Option b – 53
A rectangular room has a floor diagonal of 17 feet and one of its sides is 8 feet long. What is the floor area of the room?
(a) 270
(b) 122
(c) 124
(d) 120
(e) None of these
Option d – 120
A School hall with dimensions 20 m × 9.5 m × 8 m needs to accommodate students, assuming each student requires 2.5 cubic meters. How many hundreds of students can it hold?
(a) 400
(b) 500
(c) 600
(d) None of these
Option d – None of these
A room measuring 6 m by 5 m with a height of 4 m has one door measuring 3 m × 1 m and two windows each of 1.5 m × 1 m. What will be the total cost of painting the walls at Rs. 11.50 per sq. meter?
(a) 872
(b) 1245
(c) 1672
(d) 943
(e) None of these
Option d – 943
A wooden cube with outer surface area 384 sq. cm is made of 0.5 cm thick material. What is the volume of the wood used, in cubic centimeters?
(a) 60
(b) 70
(c) 80
(d) 90
(e) None of these
Option b – 70
Rainwater 0.5 cm deep falls on a roof of 12 m × 7 m. It drains into a tank measuring 2.1 m × 1.2 m × 2 m. What depth of rainwater would fill the tank?
(a) 10
(b) 16
(c) 24
(d) 33
(e) None of these
Option b – 16
A square water tank with a side of 50 cm holds 15,000 cubic centimeters of water. What is the height of the tank?
(a) 4
(b) 5
(c) 6
(d) 7
(e) None of these
Option c – 6
A rhombus has a perimeter of 68 cm, and one of its diagonals measures 30 cm. What is the difference between the two diagonals?
(a) 30
(b) 16
(c) 14
(d) 34
(e) None of these
Option c – 14
A wire of 132 cm length is used separately to form a square, an equilateral triangle, and a circle. What is the difference between the largest and smallest area formed (in sq. cm)?
(a) 400
(b) 550
(c) 650
(d) 800
(e) None of these
Option b – 550
A wire of length 90 meters is used to enclose a rectangular field, using one wall of a house as one of the sides. What is the largest area (in sq. m) that can be enclosed?
(a) 320
(b) 710
(c) 480
(d) 600
(e) None of these
Option c – 480
Equilateral triangles are constructed on each side of a square having an area of 1200 sq. cm. What is the perimeter of each triangle (in cm)?
(a) 600
(b) 800
(c) 300
(d) 720
(e) None of these
Option d – 720
A trapezium has parallel sides of 40 cm and 56 cm, and both non-parallel sides are 17 cm. What is its area in square units?
(a) 415
(b) 623
(c) 720
(d) 815
(e) None of these
Option c – 720
The largest possible circle is cut from a rectangular cardboard measuring 20 cm by 14 cm. What is the remaining area of the cardboard (in sq. cm)?
(a) 36
(b) 35
(c) 40
(d) 42
(e) None of these
Option d – 42
A wire 35 cm long is shaped into an open framework consisting of an equilateral triangle on top of a square. What is the total area of this skeleton (in sq. cm)?
(a) 25
(b) 80
(c) 70
(d) 40
(e) None of these
Option c – 70
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