Area problems
- 1. The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?
Options- A. 60
- B. 54
- C. 48
- D. 72 Also asked in: Bank Exams
Correct Answer: 60
- 2. PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ?QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?
Options- A. 90
- B. 108
- C. 144
- D. 72 Also asked in: Bank Exams
Correct Answer: 108
- 3. In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?
Options- A. (4?86)/3
- B. (2?86)/3
- C. (5?86)/3
- D. (5?86)/2 Also asked in: Bank Exams
Correct Answer: (4?86)/3
- 4. Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?
Options- A. 1556.33
- B. 898.5
- C. 1467.33
- D. 1306.67 Also asked in: Bank Exams
Correct Answer: 1306.67
- 5. ?GHI is similar to ?KLM. If the ratio of Perimeter of ? GHI : Perimeter of ?KLM = 1:4, and length of GH is 2 cm, what is the length of the corresponding side KL?
Options- A. 4 cm
- B. 8 cm
- C. 32 cm
- D. 16 cm Also asked in: Bank Exams
Correct Answer: 8 cm
- 6. In ?ABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and AE are 8 cm, 4 cm and 12 cm respectively, what is the length of AC?
Options- A. 6 cm
- B. 18 cm
- C. 9 cm
- D. 15 cm Also asked in: Bank Exams
Correct Answer: 18 cm
- 7. A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take ? = 22/7)
Options- A. 50 cm
- B. 25 cm
- C. 12.5 cm
- D. 37.5 cm Also asked in: Bank Exams
Correct Answer: 25 cm
- 8. A missile travels at 1278 km/h. How many metres does it travel in one second?
Options- A. 355 metres
- B. 358 metres
- C. 345 metres
- D. 313 metres Also asked in: Bank Exams
Correct Answer: 355 metres
- 9. The areas of a circle and square are equal. What is the square of the ratio of length of diameter to the length of diagonal?
Options- A. 11/7
- B. 7/9
- C. 7/11
- D. 9/7 Also asked in: Bank Exams
Correct Answer: 7/11
- 10. What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?
Options- A. 90°
- B. 60°
- C. 30°
- D. 120° Also asked in: Bank Exams
Correct Answer: 120°
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