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A circle 70 cm wide was cut into 10 sectors. The perimeter of one such sector is how many cm, and the area of one such sector is how many square cm?
(a) 90
(b) 400
(c) 385
(d) 420
(e) None of these
Option c – 385
Equilateral triangles stand on each side of a square of 1600 sq cm. The area of each triangle is how many square cm?
(a) 560
(b) 470
(c) 620
(d) 600
(e) 590
Option a – 560
A trapezium has parallel sides of 40 and 56 units while adjacent sides are 17 units 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 – 720
A cistern of capacity 8000 liters measures externally 3.3 m by 2.6 m by 1,1 m while its walls are 5 cm thick. Find the thickness of its bottom in… meter:
(a) 1.1
(b) 0.1
(c) 0.90
(d) 2.1
(e) None of these
Option b – 0.1
Find a number of bricks (‘000), each measuring 24 cm 12 cm 8 cm, required for a wall 24 m long, 8m high, and 60 cm thick if 10% of the wall is filled with mortar.
(a) 36
(b) 45
(c) 75
(d) 95
(e) None of these
Option b – 45
A triangle with sides 50,60,70 cm will have an area of how many sq cm?
(a) 1100
(b) 1300
(c) 1440
(d) 1703
(e) None of these
Option c – 1440
A square and a rectangle each have a 100 cm perimeter. The difference in areas is_sq cm
(a) 100
(b) 200
(c) Zero
(d) Inadequate
(e) None of these
Option d – Inadequate
A rectangle 30 m x 14 cm has a maximum-sized circle drawn in it. The uncovered area of a rectangle is how many cm²?
(a) 100
(b) 206
(c) 266
(d) 321
(e) None of these
Option c – 266
A square of 9 hectares was fenced thrice. What length of wire (km) is required for it?
(a) 3.6
(b) 36
(c) 360
(d) 3600
(e) None of these
Option a – 3.6
A circle 70 cm wide was cut into 10 sectors. The perimeter of one such sector is how many cm
(a) 92
(b) 70
(c) 82
(d) 68
(e) None of these
Option a – 92
Three solid cubes of sides 1 cm, 6 cm, and 8 cm are melted to form a new cube. Find the surface area of the cube so formed in cm².
(a) 486
(b) 445
(c) 566
(d) 125
(e) None of these
Option a – 486
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall is :
(a) 720
(b) 900
(c) 1200
(d) 1800
(e) None of these
Option c – 1200
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface including the walls is how many m²?
(a) 49
(b) 50
(c) 53
(d) 55
(e) None of these
Option a – 49
The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cubic meters. Find the width of the wall in cm.
(a) 40
(b) 30
(c) 20
(d) 10
(e) None of these
Option a – 40
The diagonal of a rectangle is 41 cm and its area is 360 sq. cm. Its perimeter in cm is?
(a) 90
(b) 98
(c) 200
(d) 41
(e) None of these
Option b – 98
Find the length of the longest pole that can be placed in a room 12 m long 8m broad & 9m high.
(a) 15
(b) 24
(c) 19
(d) 16
(e) None of these
Option d – 16
A tank is 25 m long, 12 m wide, and 6 m deep. What is the cost (Rupees) of plastering its walls and bottom at the rate of 75 paise per square meter?
(a) 558
(b) 502
(c) 516
(d) 612
(e) None of these
Option a – 558
It is decided to construct a 2-meter broad pathway around a rectangular plot on the inside. If the area of the plot is 96 m² and the rate of construction is Rs.50 per square meter, what will be the total cost of construction?
(a) 3500
(b) 4200
(c) 4400
(d) 4800
(e) None of these
Option d – 4800
The area of a parallelogram is 72 cm² and its altitude is twice the corresponding base. What is the length of the base in centimeters?
(a) 6
(b) 7
(c) 8
(d) 12
(e) None of these
Option a – 6
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