Volume and Surface Area problems
- 1. What is the percentage decrease in the area of a triangle if its each side is halved?
Options- A. 75%
- B. 50%
- C. 25%
- D. No change Also asked in: Bank Exams
Correct Answer: 75%
Explanation:
Area of triangle of = ½*a*b* sin? = A
Where a and b are sides of the triangle and ? be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sin? = ¼ A
%decrease = [(A?¼ A)/A ]*100 = 75%
- 2. If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords?
Options- A. 1 cm or 7 cm
- B. 2 cm or 14 cm
- C. 3 cm or 21 cm
- D. 4 cm or 28 cm Also asked in: Bank Exams
Correct Answer: 2 cm or 14 cm
- 3. 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 , -1) and (3 , 5) respectively?
Options- A. (-3 , 8)
- B. (3 , 8)
- C. (-3 , -8)
- D. (3 , -8) Also asked in: Bank Exams
Correct Answer: (-3 , 8)
- 4. What is the reflection of the point (-4, 3) in the line x = -2?
Options- A. (-4 , -7)
- B. (4 , 3)
- C. (0 , 3)
- D. (-4 , 7) Also asked in: Bank Exams
Correct Answer: (0 , 3)
- 5. ?XYZ is similar to ?PQR. If ratio of Perimeter of ?XYZ and Perimeter of ?PQR is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)?
Options- A. 9
- B. 12
- C. 16
- D. 15 Also asked in: Bank Exams
Correct Answer: 12
- 6. The surface area of a sphere is 5544 sq.cm. Find its diameter (in cm).
Options- A. 42
- B. 21
- C. 84
- D. 63 Also asked in: Bank Exams
Correct Answer: 42
- 7. The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is 15?3 sq cm, what is the area of the equilateral triangle?
Options- A. 45/?2 sq cm
- B. 45?2 sq cm
- C. 45 sq cm
- D. 45/2 sq cm Also asked in: Bank Exams
Correct Answer: 45/2 sq cm
- 8. If the curved surface area of a right circular cone is 3080 sq cm and its slant height is 35 cm, find its total surface area?
Options- A. 11088 sq cm
- B. 1848 sq cm
- C. 5544 sq cm
- D. 2772 sq cm Also asked in: Bank Exams
Correct Answer: 5544 sq cm
- 9. The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 49? sq cm?
Options- A. 196 sq cm
- B. 154 sq cm
- C. 124 sq cm
- D. 98 sq cm Also asked in: Bank Exams
Correct Answer: 196 sq cm
- 10. Curved surface area of a cylinder is 528 sq cm. If circumference of its base is 44 cm, find the height of the cylinder?
Options- A. 12 cm
- B. 24 cm
- C. 36 cm
- D. 6 cm Also asked in: Bank Exams
Correct Answer: 12 cm
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