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FREE GRE Mock Test with Answers for Students
The length, breadth, and height of a rectangular solid are in the ratio of 5 : 4 : 2. If the total surface area is 1216 square cm. Find the volume (cc) of the solid.
(a) 1490
(b) 2340
(c) 2560
(d) 3270
(e) None of these
Option c β 2560
A rectangular tank 25 cm long and 20 cm wide and 12 cm deep contains water to a depth of 5 cm. A metal cube of side 8 cm is placed in the tank so that one face of the cube rests on the bottom of the tank. Find how many liters of water must be poured into the tank so as to just cover the cube.
(a) 1.024
(b) 8
(c) 5
(d) 7
(e) None of these
Option b β 8
A solid cube with an 8 cm edge was melted to convert into a wire 0.35 mm thick. What approximate length of wire (meter) can be made available from this process?
(a) 40
(b) 53
(c) 62
(d) 76
(e) None of these
Option b β 53
The diagonal of the floor of a rectangular room is 17 feet. The shorter side of the room is 8 feet. What is the area of the room?
(a) 270
(b) 122
(c) 124
(d) 120
(e) None of these
Option d β 120
A school hall of dimensions 20 m, 9.5 m, and 8 m high was built in Govt Senior Secondary School, Suchan. How many hundreds of students can it accommodate assuming that 2.5 cubic meters of space are required for each student?
(a) 400
(b) 500
(c) 600
(d) 700
(e) None of these
Option e β None of these
A room is 6 m long, 5 m broad and 4 m high. There is a door 3 m by 1 m and two windows each 1.5 m by 1 m. Find the cost (Rs) of distempering the walls at Rs. 11.50 per square meter.
(a) 872
(b) 1245
(c) 1672
(d) 943
(e) None of these
Option d β 943
A closed cubical box whose surface area is 384 square cm is made up of (0.5) cm thick wood. The volume of the wood in cc is?
(a) 60
(b) 70
(c) 80
(d) 90
(e) None of these
Option b β 70
Half a centimeter of rainwater from a flat roof 12 m x 7 m drains down into a tank with dimensions 2.1Γ1.2Γ2.0 m. By what depth of rainfall will fill in the tank?
(a) 10
(b) 16
(c) 24
(d) 33
(e) None of these
Option b β 16
A water tank with a square base of side 50 cm can hold 15,000 cc of water. Find its height.
(a) 4
(b) 5
(c) 6
(d) 7
(e) None of these
Option c β 6
A Rhombus of 68 cm perimeter has one of its diagonals as 30 cm. Difference between the lengths of two diagonals is how many cm?
(a) 30
(b) 16
(c) 14
(d) 34
(e) None of these
Option c β 14
132 cm wire was used separately to make a square, an equilateral triangle, and a circle. Find the difference between the maximum and minimum area of these figures (sq cm).
(a) 400
(b) 550
(c) 650
(d) 800
(e) None of these
Option b β 550
A wire of 90 meters was used for fencing an arena using a wall of the house as one of its sides. The maximum area it can cover shall be around square m.
(a) 320
(b) 710
(c) 480
(d) 600
(e) None of these
Option c β 480
Equilateral triangles stand on each side of a square of 1200 square cm. The perimeter of each triangle is how many centimeters.
(a) 600
(b) 800
(c) 300
(d) 720
(e) None of these
Option d β 720
A trapezium has parallel sides of 40 and 56 with adjacent sides of 17 each. It shall have an area. of how many square units?
(a) 415
(b) 623
(c) 720
(d) 815
(e) None of these
Option c β 720
A maximum-sized circular shape piece was cut through rectangular cardboard 20Γ14 cm. The remaining area of the cardboard is how many square cm?
(a) 36
(b) 35
(c) 40
(d) 42
(e) None of these
Option d β 42
35 cm wire was used to make a hollow skeleton of an equilateral triangle β atop a square. The area of the skeleton in square cm is?
(a) 25
(b) 80
(c) 70
(d) 40
(e) None of these
Option c β 70
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