Volume and Surface Area problems
- 1. Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of ? APQ is 4 sq cm, what is the area of trapezium PQCB?
Options- A. 60 sq cm
- B. 16 sq cm
- C. 96 sq cm
- D. 21 sq cm Also asked in: Bank Exams
Correct Answer: 96 sq cm
- 2. In ?DEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is
Options- A. 12 cm
- B. 20 cm
- C. 14 cm
- D. 16 cm Also asked in: Bank Exams
Correct Answer: 20 cm
- 3. The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take ? = 22/7)
Options- A. 616 sq cms
- B. 154 sq cms
- C. 308 sq cms
- D. 462 sq cms Also asked in: Bank Exams
Correct Answer: 308 sq cms
- 4. ? DEF and ? GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ?ABC to ?DEF?
Options- A. 5:3
- B. 3:5
- C. 25:9
- D. 9:25 Also asked in: Bank Exams
Correct Answer: 5:3
- 5. In a cyclic quadrilateral ABCD ?BCD=120° and passes through the centre of the circle. Then ?ABD = ?
Options- A. 30°
- B. 40°
- C. 50°
- D. 60° Also asked in: Bank Exams
Correct Answer: 30°
- 6. The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC+XY=12 units, then BCXY is
Options- A. 10 units
- B. 8 units
- C. 6 units
- D. 4 units Also asked in: Bank Exams
Correct Answer: 4 units
- 7. In an isosceles ?ABC, AD is the median to the unequal side meeting BC at D. DP is the angle disector of ?ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ?PDQ is
Options- A. 130°
- B. 90°
- C. 180°
- D. 45° Also asked in: Bank Exams
Correct Answer: 90°
- 8. An angle is smaller than its supplementary by 30°. What is the measure of the angle?
Options- A. 75°
- B. 105°
- C. 60°
- D. 30° Also asked in: Bank Exams
Correct Answer: 75°
- 9. A square is inscribed in a circle. If the side of the square is 14 cm, what is the area (in sq.cm) of the circle?
Options- A. 49?
- B. 77?
- C. 121?
- D. 98? Also asked in: Bank Exams
Correct Answer: 98?
- 10. A wooden bowl is in shape of a hollow hemisphere of internal radius 7 cm and thickness 1 cm. What is the total surface area (in sq.cm) of the bowl? (Take: = 22/7)
Options- A. 710.29
- B. 757.43
- C. 355.14
- D. 908.91 Also asked in: Bank Exams
Correct Answer: 757.43
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