Area problems
- 1. What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?
Options- A. 120
- B. 240
- C. 360
- D. 480 Also asked in: Bank Exams
Correct Answer: 240
- 2. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3 and area of ?ABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC?
Options- A. 84
- B. 16
- C. 25
- D. 75 Also asked in: Bank Exams
Correct Answer: 84
- 3. The area of a circle is 616 sq cm, find its circumference?
Options- A. 44 cm
- B. 88 cm
- C. 22 cm
- D. 176 cm Also asked in: Bank Exams
Correct Answer: 88 cm
- 4. The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is
Options- A. 972?
- B. 11664?
- C. 36?
- D. 288? Also asked in: Bank Exams
Correct Answer: 972?
- 5. The four sides of a quadrilateral are in the ratio of 2:3:4:5 and its perimeter is 280m. The length of the longest side is
Options- A. 100m
- B. 150m
- C. 175m
- D. 180m Also asked in: Bank Exams
Correct Answer: 100m
- 6. In ?ABC, AC = BC and ?ABC = 50°, the side BC is produced to D so that BC = CD then the value of ?BAD is
Options- A. 80°
- B. 40°
- C. 90°
- D. 50° Also asked in: Bank Exams
Correct Answer: 90°
- 7. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Options- A. 18%
- B. 28%
- C. 38%
- D. 48% Also asked in: Bank Exams, Bank PO
Correct Answer: 28%
Explanation:
Let original length = x and original breadth = y.
Decrease in area = xy - = (7/25)xy
Decrease % = (7/25)xy * (1/xy) * 100 = 28%
- 8. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options- A. 22
- B. 44
- C. 66
- D. 88 Also asked in: Bank Exams, Bank PO
Correct Answer: 88
Explanation:
We have: l = 20 ft and lb = 680 sq. ft.So, b = 34 ft.
Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.
- 9. Find the length of the altitude of an equilateral triangle of side 33 cm.
Options- A. 4.5
- B. 3.5
- C. 2.5
- D. 6.5 Also asked in: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 4.5
Explanation:
Let the length of the altitude be h.
Then, h =
=
= 4.5
- 10. A square and rectangle have equal areas. If their perimeters are p and q respectively. Then
Options- A. p
- B. p>q
- C. p=q
- D. none of these Also asked in: Bank Exams, Bank PO
Correct Answer: p
Explanation:
square and a rectangle with equal areas will satisfy the
relation p < q
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