Geometry

1. The length of a rectangular floor is one and a half times its breadth. What is the perimeter of the floor (in meters) if its area is 216 sq. meters:

• ক. 40
• খ. 50
• গ. 60
• ঘ. 44

2. What is the volume of a cube that has a total surface area of 54?

• ক. 9
• খ. 27
• গ. 54
• ঘ. 81

3. The sum of the angles of a square is:

• ক. 90°
• খ. 180°
• গ. 360°
• ঘ. 200°

4. If four triangles are constructed with sides of the length indicated below, which of the following triangles will not be a right triangle?

• ক. 5, 12, 13
• খ. 8, 15, 17
• গ. 12, 15, 18
• ঘ. 3 , 4, 5

5. The length of sides AB and AC in the triangle below are equal. What is the measure of angle A?

• ক. 70°
• খ. 55°
• গ. 40°
• ঘ. 110°

6. Given AB = 4 & AC = 5, the perimeter of the ractangle is--

• ক. 18
• খ. 40
• গ. 14
• ঘ. 22

7. If P is the center of the circle, then what fraction of the circle region is shaded?

• ক. 1/12
• খ. 1/9
• গ. 1/6
• ঘ. 1/5

8. Is square ABCD below, what is the value of {(AC)(AD)}/{(AB)(DC)} =?

• ক. 1/2
• খ. 1
• গ. √2
• ঘ. 2

9. If a square is inscribed in a circle of radius r as shown below, then the area of the square region is--

• ক. r2/2∏
• খ. ∏r2/2
• গ. ∏r2
• ঘ. 2r2

10. In the figure below, the area of square PQRS is 64. What is the area of triangle QRT?

• ক. 48
• খ. 32
• গ. 24
• ঘ. 16

11. Shahin has purchased a square sheet of plywood of 169 square feet area. To cover a wall he must cut off two feet from a side. What is the area, in square feet of the wall?

• ক. 117
• খ. 121
• গ. 143
• ঘ. 141

12. A farmer has two rectangular fields. The larger field has twice the length and four times the width of the smaller field. If the smaller field has area k, then the area of the larger field is greater than the area of the smaller field by what amount?

• ক. 2k
• খ. 6k
• গ. 7k
• ঘ. 8k

13. How many tiles each a square tile of 2 inch sides are needed to cover a rectangle floor of 4 feet long and 6 feet wide?

• ক. 24
• খ. 128
• গ. 96
• ঘ. 864

14. A carpet that measures 5 ft by 9 ft covers 75% of a floor. What is the area of the floor?

• ক. 60
• খ. 100
• গ. 80
• ঘ. 90

15. Ashraful has purchased a square sheet of plywood 169 square feet area. To cover a wall he must cut off 3 feet from a side. What is the area in square feet of the wall?

• ক. 154
• খ. 144
• গ. 196
• ঘ. 130

16. If a rectangle's length and width are both doubled, by what percent is the rectangle's area increased?

• ক. 50%
• খ. 100%
• গ. 200%
• ঘ. 300%

17. A rectangular tank 10 inch by 8 inch by 4 inch is filled with water. If all of the water is to be transferred to cube-shaped tanks, each one 3 inches on a side, how many of these smaller tanks are needed?

• ক. 9
• খ. 12
• গ. 16
• ঘ. 21

18. In the figure below ∠R and ∠S are formed by two inteesecting lines. If ∠R measures 53°, what is the measure of ∠S?

• ক. 35°
• খ. 55°
• গ. 110°
• ঘ. 125°

19. Triangle XYZ and two angles measure are shown in the diagram below. What is the measure of ∠Y?

• ক. 50°
• খ. 85°
• গ. 90°
• ঘ. 95°

20. The length of a rectangle is 1 inch more than 2 times its width. The area of the reatangle is 36 square inches. What is the length of the rectangle?

• ক. 4 inches
• খ. 6 inches
• গ. 9 inches
• ঘ. 18 inches

21. A carpet that measures 6 ft by 8 ft covers 60% of a floor. What is the area of the floor?

• ক. 60
• খ. 100
• গ. 80
• ঘ. 90

22. Saurabh has purchased a square sheet of plywood 196 square feet area. To cover a wall he must cut off 3 feet from a side. What is the area in square feet of the wall?

• ক. 154
• খ. 144
• গ. 169
• ঘ. 168

23. The floor of a company's office has an area of 20000 square feet. If the floor is in the shape of a square approxmately how many feet long is each side?

• ক. 140
• খ. 450
• গ. 500
• ঘ. 1000

24. How many rectanggular are there in the following figure:

• ক. 6
• খ. 8
• গ. 9
• ঘ. 10

25. Find the volume of a triangular solid cylinder with the following dimensions: 4 feet base, 3 feet height of the triangle and 10 feet height of the cylinder?

• ক. 120 cft
• খ. 60 cft
• গ. 80 cft
• ঘ. 65 cft