Volume and Surface Area problems
- 1. The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?
Options- A. (0 , 13)
- B. (0, 5)
- C. (0, -5)
- D. (0 , -13) Also asked in: Bank Exams
Correct Answer: (0 , -13)
- 2. ? DEF is right angled at E. If m?F = 45°, then what is the value of 2 Sin F x Cot F?
Options- A. ?2
- B. 2
- C. 1/?2
- D. 1/2 Also asked in: Bank Exams
Correct Answer: ?2
- 3. The two equal sides of an isosceles triangle is 20 cm each and the third side is 30 cm. What is the area (in sq.cm) of the triangle?
Options- A. 50?5
- B. 100
- C. 75?7
- D. 175 Also asked in: Bank Exams
Correct Answer: 75?7
- 4. PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ?QSR = 30°, then what is the value (in degrees)of POR?
Options- A. 30
- B. 45
- C. 60
- D. 90 Also asked in: Bank Exams
Correct Answer: 90
- 5. Slope of the line AB is 4/3. Co-ordinates of points A and B are (x , -5) and (2 , -3) respectively. What is the value of x?
Options- A. 1/2
- B. -1/4
- C. 4
- D. -4 Also asked in: Bank Exams
Correct Answer: 1/2
- 6. If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm then its volume is
Options- A. 1760 cm3
- B. 8800 cm3
- C. 2002 cm3
- D. 4804 cm3 Also asked in: Bank Exams
Correct Answer: 2002 cm3
- 7. A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, ?=22/7)
Options- A. 3?3 : 4
- B. 4 : 3?3
- C. 3 : 4?3
- D. 1 : 12?3 Also asked in: Bank Exams
Correct Answer: 3?3 : 4
- 8. The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallell sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is
Options- A. 1440 cu.cm
- B. 1540 cu.cm
- C. 2880 cu.cm
- D. 960 cu.cm Also asked in: Bank Exams
Correct Answer: 2880 cu.cm
- 9. The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the orignal cylinder, then the radius of the solid cylinder is
Options- A. 6 cm
- B. 7.25 cm
- C. 6.5 cm
- D. 7 cm Also asked in: Bank Exams
Correct Answer: 6 cm
- 10. The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is
Options- A. 50 metres
- B. 100 metres
- C. 150 metres
- D. 250 metres Also asked in: Bank Exams
Correct Answer: 100 metres
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