Volume and Surface Area problems
- 1. The point of intersection of all the angle bisector of a triangle is ______ of the triangle.
Options- A. Incenter
- B. Circumcenter
- C. Centroid
- D. Orthocenter Also asked in: Bank Exams
Correct Answer: Incenter
- 2. ABC is an equilateral triangle and P is the orthocenter of the triangle, then what is the value (in degrees) of ?BPC?
Options- A. 90
- B. 120
- C. 135
- D. 145 Also asked in: Bank Exams
Correct Answer: 120
- 3. In a triangle ABC, AD is angle bisector of ?A and AB : AC = 3 : 4. If the area of triangle ABC is 350 cm2, then what is the area (in cm2) of triangle ABD?
Options- A. 150
- B. 200
- C. 210
- D. 240 Also asked in: Bank Exams
Correct Answer: 150
- 4. If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same?
Options- A. 20
- B. 36.25
- C. 56.25
- D. 65 Also asked in: Bank Exams
Correct Answer: 56.25
- 5. ?PQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?
Options- A. 1876
- B. 90
- C. 1785
- D. 1786 Also asked in: Bank Exams
Correct Answer: 1785
- 6. A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. What is the ratio of the volume of the sphere to that of cone?
Options- A. 6?3:1
- B. 7 : 2
- C. 3?3:1
- D. 5?3:1 Also asked in: Bank Exams
Correct Answer: 6?3:1
- 7. A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. What is the ratio of the volume of the sphere to that of cone?
Options- A. 6?3:1
- B. 7 : 2
- C. 3?3:1
- D. 5?3:1 Also asked in: Bank Exams
Correct Answer: 6?3:1
- 8. A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder. What is the ratio of the volume of the cube to that of the cylinder ?
Options- A. 4 : 3
- B. 21 : 16
- C. 14 : 11
- D. 45 : 32 Also asked in: Bank Exams
Correct Answer: 14 : 11
- 9. ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right ?angel What is the area of quadrilateral ABCD?
Options- A. 300 SQ.CM
- B. 306 SQ.CM
- C. 312 SQ.CM
- D. 316 SQ.CM Also asked in: Bank Exams
Correct Answer: 316 SQ.CM
Explanation:
Area of quadrilateral ABCD = area of triangle ADC + area of triangle ABC
= 126 + ½ * 9 * 40 = 306
- 10. ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right ?angel What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?
Options- A. 4 cm
- B. 5 cm
- C. 6 cm
- D. 7 cm Also asked in: Bank Exams
Correct Answer: 6 cm
Explanation:
Perimeter of triangle ABC ? Perimeter of triangle ADC = (9+40+41) - (15+28+41) = 6 cm
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