Discussion
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- Question
In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ?PBR =105°, then what is the value of ?PAR (in degrees)?
Options- A. 60
- B. 100
- C. 105
- D. 115
- Correct Answer
- 60
- 1. PQR is a right angled triangle in which ?R = 90°. If RS ? PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
Options- A. 12/5
- B. 36/5
- C. 5
- D. 2.5 Discuss
- 2. In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?
Options- A. 1 : 1
- B. 2 : 1
- C. 3 : 1
- D. 4 : 1 Discuss
- 3. Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?
Options- A. 12
- B. 14
- C. 16
- D. 28 Discuss
- 4. A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is
Options- A. 5?5 cm
- B. 5?3 cm
- C. 5?15 cm
- D. 5?10 cm Discuss
- 5. Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is
Options- A. 7 cm
- B. 9 cm
- C. 10 cm
- D. 8 cm Discuss
- 6. If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?
Options- A. 0
- B. 5
- C. 4
- D. 7 Discuss
- 7. Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is
Options- A. r1+r2+r3
- B. r12+r22+r3212
- C. r13+r23+r3313
- D. r14+r24+r3414 Discuss
- 8. The amount of extension in a spring is proportional to the weight hung on it. If the weight of 5 kgs produces an extension of 0.4 cm, what weight would produce an extension of 5cm?
Options- A. 6.25kgs
- B. 62.5kgs
- C. 4kgs
- D. 40kgs Discuss
- 9. If an interior of a regular polygon is 170o, then the number of sides of the polygon is
Options- A. 30
- B. 20
- C. 18
- D. 27 Discuss
- 10. If PA and PB are tangents to the circle with centre O such that ?APB=50° , then the ?OAB=
Options- A. 25°
- B. 30°
- C. 40°
- D. 50° Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 12/5
Correct Answer: 2 : 1
Correct Answer: 28
Correct Answer: 5?15 cm
Correct Answer: 8 cm
Correct Answer: 7
Correct Answer: r13+r23+r3313
Correct Answer: 62.5kgs
Correct Answer: 30
Correct Answer: 25°
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