Area problems
- 1. An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is
Options- A. 4.04%
- B. 5.04%
- C. 6.04%
- D. 7.04% Also asked in: Bank Exams, Bank PO
Correct Answer: 4.04%
Explanation:
100 cm is read as 102 cm
a = 100 x 100 sq.cm and b = 102 x 102 sq.cm
then, Increase in area = [ (102 x 102) - (100 x 100) ] sq.cm
percentage error = = 4.04%
- 2. Find the area of the rectangle or square with the given dimensions L = 5 inches, W= 3 inches?
Options- A. 13
- B. 14
- C. 15
- D. 16 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 15
Explanation:
We know that,
Area of rectangle A = L x W = 5 x 3 = 15 sq.inches.
- 3. A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?
Options- A. 16.25
- B. 19.25
- C. 18.25
- D. 17.25 Discuss
Correct Answer: 19.25
- 4. The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm and 15 cm is
Options- A. 6 cm
- B. 7.5 cm
- C. 4.5 cm
- D. 8 cm Also asked in: Bank Exams
Correct Answer: 7.5 cm
- 5. From a square plate with each side 7 cm, squares of area 0.25 sq. cm are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ......... . cub.cm
Options- A. 21
- B. 16
- C. 18
- D. 20 Also asked in: AIEEE, Bank Exams
Correct Answer: 18
- 6. A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm and 8 cm, what is the area of the circle?
Options- A. 64? sq cm
- B. 25? sq cm
- C. 36? sq cm
- D. 49? sq cm Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 25? sq cm
- 7. 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 2:3, and area of ? APQ is 8 sq cm, what is the area of trapezium PQCB?
Options- A. 50 sq cm
- B. 18 sq cm
- C. 42 sq cm
- D. 14 sq cm Also asked in: AIEEE, Bank Exams
Correct Answer: 42 sq cm
- 8. A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take ? = 22/7)
Options- A. 1166.4 metres
- B. 1458 metres
- C. 777.6 metres
- D. 972 metres Also asked in: Bank Exams
Correct Answer: 972 metres
- 9. The cost of leveling a triangular piece of land whose sides are 72 m. 30 m and 78 in respectively at the rate of 20 paisa per square metre is:
Options- A. ? 220
- B. ? 200
- C. ? 216
- D. ? 210 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: ? 216
- 10. The angles of a triangle are in the ratio 1 : 1 : 4. If the perimeter of the triangle is k times its largest side, then what is the value of k?
Options- A. 1 + 2/?3
- B. 1 - 2/?3
- C. 2 + 2/?3
- D. 2 Also asked in: Bank Exams
Correct Answer: 1 + 2/?3
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