Area problems
- 1. The crosssection of a canal is in the shape of an isosceles trapezium which is 3 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 110 m long, what is the maximum capacity of this canal? (Take ? = 22/7)
Options- A. 1760 cubic metres
- B. 1650 cubic metres
- C. 1056 cubic metres
- D. 880 cubic metres Also asked in: Bank Exams
Correct Answer: 880 cubic metres
- 2. In a triangle PQR, ?PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?
Options- A. 9
- B. 4
- C. 8
- D. 6 Also asked in: Bank Exams
Correct Answer: 4
- 3. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?
Options- A. 6.3
- B. 5.8
- C. 6
- D. 7 Also asked in: Bank Exams
Correct Answer: 7
- 4. A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?
Options- A. 240
- B. 120
- C. 60
- D. 90 Also asked in: Bank Exams
Correct Answer: 60
- 5. In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?
Options- A. 36
- B. 32
- C. 58
- D. 54 Also asked in: Bank Exams
Correct Answer: 58
- 6. The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?
Options- A. 63 : 36
- B. 23 : 62
- C. 63 : 2
- D. 63 : 23 Also asked in: Bank Exams
Correct Answer: 63 : 23
- 7. A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?
Options- A. 5
- B. 6
- C. 8
- D. 9 Also asked in: Bank Exams
Correct Answer: 8
- 8. A right circular cylinder has height 28 cm and radius of base 14 cm. Two hemispheres of radius 7 cm each are cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?
Options- A. 3842
- B. 4312
- C. 3296
- D. 4436 Also asked in: Bank Exams
Correct Answer: 4312
- 9. The height of the equilateral triangle is 9 cm. What is the radius (in cm) of the circle circumscribing the three vertices?
Options- A. 3
- B. 6
- C. 9
- D. 12 Also asked in: Bank Exams
Correct Answer: 6
- 10. The length of the diagonal and the breadth of a rectangle are 25 cm and 7 cm respectively. Find its perimeter (in cm).
Options- A. 124
- B. 41
- C. 82
- D. 62 Also asked in: Bank Exams
Correct Answer: 62
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