Volume and Surface Area problems
- 1. 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 Also asked in: Bank Exams
Correct Answer: r13+r23+r3313
- 2. 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 Also asked in: Bank Exams
Correct Answer: 62.5kgs
- 3. 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 Also asked in: Bank Exams
Correct Answer: 30
- 4. 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° Also asked in: Bank Exams
Correct Answer: 25°
- 5. The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?
Options- A. 126
- B. 252
- C. 504
- D. 1024 Also asked in: Bank Exams
Correct Answer: 252
- 6. PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ?RPQ = 38°, then what is the value (in degrees) of ?PSR?
Options- A. 52
- B. 77
- C. 128
- D. 142 Also asked in: Bank Exams
Correct Answer: 128
- 7. Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?
Options- A. 18?3
- B. 27?3
- C. 32?3
- D. 36?3 Also asked in: Bank Exams
Correct Answer: 27?3
- 8. A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?
Options- A. 48.5
- B. 37.5
- C. 57.8
- D. 64 Also asked in: Bank Exams
Correct Answer: 57.8
- 9. In triangle ABC, ?ABC = 90°. BP is drawn perpendicular to AC. If ?BAP = 50°, then what is the value (in degrees) of ?PBC?
Options- A. 30
- B. 45
- C. 50
- D. 60 Also asked in: Bank Exams
Correct Answer: 50
- 10. In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ?AQR and ?BRQ intersect at point O. If ?QOR = 50°, then what is the value (in degrees) of ?QPR?
Options- A. 50
- B. 60
- C. 80
- D. 100 Also asked in: Bank Exams
Correct Answer: 80
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