Areas : Aptitude Questions and Answers

Q51. Find the ratio of the areas of the incircle and circumcircle of a square.

A. 1:2

B. 1:3

C. 1:4

D. 1:1

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Correct Answer : 1:2


Q52. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A. 20

B. 22

C. 18

D. 16

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Correct Answer : 18


Q53. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A. 30%

B. 50%

C. 20%

D. 40%

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Correct Answer : 50%


Q54. A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

A. 336

B. 236

C. 136

D. 436

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Correct Answer : 336


Q55. An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A. 4.04

B. 1.04

C. 2.04

D. 3.04

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Correct Answer : 4.04


Q56. A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is

A. Rs. 358

B. Rs. 558

C. Rs. 458

D. Rs. 258

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Correct Answer : Rs. 558


Q57. A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be

A. 4444

B. 5544

C. 7744

D. 8844

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Correct Answer : 7744


Q58. The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.

A. 40

B. 30

C. 50

D. 60

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Correct Answer : 40


Q59. The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 sq.m. The length of the hall is

A. 25

B. 20

C. 30

D. 35

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Correct Answer : 30


Q60. If each side of a square is increased by 25%, find the percentage change in its area?

A. 65

B. 56

C. 65.25

D. 56.25

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Correct Answer : 56.25


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