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A circle was marked at ten points on its circumference. Each marked point was joined with its center 35 cm away from it. Find the length of fencing for any two such marked points with the center., also find the covered area by any two such sections in cm².
(a) 180
(b) 200
(c) 220
(d) 240
(e) None of these
Option c – 220
A hexagon has equilateral triangles drawn outside on each of its sides. Find the sum of all such triangles in what ratio to the area of the hexagon given.
(a) ½
(b) 1/4
(c) 2
(d) 1
(e) Data inadequate
Option d – 1
The perimeter of a trapezium is 130 cm while one of its parallel sides is 40 and both the adjacent sides are 17 each. It shall have how many cm² of the area is covered under it?
(a) 415
(b) 623
(c) 795
(d) 815
(e) None of these
Option c – 795
A rectangular cardboard 20 cm long had a tightly fitted circular cut within it whose area is 154 square cm. The remaining area of the sheet is how many square cm?
(a) 36
(b) 35
(c) 40
(d) 45
(e) None of these
Option d – 45
A wire of 49 cm was spread alongside the sides of a hexagon with an equilateral triangle mounted along one of its sides circumscribing the entire figure. The total area of the figure thus generated is how many sq cm?
(a) 250
(b) 130
(c) 150
(d) 240
(e) 270
Option c – 150
The diagonals of a rhombus are 16 and 30 cm. Its perimeter is how many centimeters?
(a) 30
(b) 16
(c) 14
(d) 34
(e) 68
Option e – 68
A rectangle 60 x 28 cm has a maximum-sized circle in it. How much area (cm²) remains uncovered?
(a) 400
(b) 825
(c) 1060
(d) 1300
(e) None of these
Option c – 1060
A square of 9 hectares was fenced thrice. How many km of wire is required for its fencing?
(a) 3.6
(b) 36
(c) 360
(d) 3600
(e) None of these
Option b – 36
A circle was marked at ten points on its circumference. Each marked point was joined with its center 35 cm away from it. Find the length of fencing for any two such marked points with the center.
(a) 92
(b) 70
(c) 82
(d) 68
(e) None of these
Option a – 92
A circle of 1386 square meters will have how much perimeter in meters?
(a) 132
(b) 66
(c) 108
(d) 88
(e) None of these
Option a – 132
What will be the perimeter of a rhombus if its diagonals are 48 m by 14 m?
(a) 90
(b) 100
(c) 120
(d) 80
(e) None of these
Option b – 100
A parallelogram has sides 30 m by 20 m. If its acute angle is 30° find its area in meter².
(a) 200
(b) 250
(c) 275
(d) 300
(e) None of these
Option d – 300
Sides of a parallelogram are 28 m x 15 m. If these are 12 m apart, find their area in m².
(a) 236
(b) 300
(c) 336
(d) 363
(e) None of these
Option c – 336
A circle 14 cm wide was completely and tightly fitted within a square. Still, it will not be able to cover how many cm² areas of the square?
(a) 42
(b) 28
(c) 32
(d) 36
(e) None of these
Option a – 42
A triangle has sides of lengths of 50, 60, and 70 cm. Find its area in cm².
(a) 1100
(b) 1300
(c) 1500
(d) 1700
(e) None of these
Option c – 1500
A square & a rectangle each have a 100cm perimeter. Find the difference between their areas in cm²
(a) 100
(b) Data inadequate
(c) can’t say
(d) no difference
(e) None of these
Option b – Data inadequate
A field 240 m 70 m will have what length of diagonal
(a) 240
(b) 250
(c) 260
(d) 270
(e) None of these
Option b – 250
A square field of 4 hectares will have a diagonal of how many meters?
(a) 300
(b) 250
(c) 325
(d) 280
(e) None of these
Option d – 280
A field 200 m x 60 m has two crossroads 5 m wide. The area of the road is how many square m?
(a) 1300
(b) 25
(c) 1325
(d) 1275
(e) None of these
Option d – 1275
A field 300 m × 50 m has two cross-metalled roads 5 m wide running inside it. Find the remaining area of the field in square meters.
(a) 12225
(b) 12750
(c) 13225
(d) 13500
(e) None of these
Option c – 13225
A circle with an area of 2464 m² shall have what length of diameter (m)?
(a) 7
(b) 14
(c) 28
(d) 56
(e) None of these
Option d – 56
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