Areas : Aptitude Questions and Answers

Q11. The length of a rectangle is decreased by r% , and the breadth is increased by (r + 5)%. Find r , if the area of the rectangle is unaltered.

A. 2.91 m

B. 3 m

C. 3.89 m

D. 5.82 m

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Correct Answer : 3 m


Q12. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres ?

A. 60 m

B. 90 m

C. 80 m

D. 40 m

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Correct Answer : 60 m


Q13. What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?

A. Rs.1340

B. Rs.3440

C. Rs.2540

D. Rs.4640

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Correct Answer : Rs.3440


Q14. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges ?

A. 24

B. 33

C. 30

D. 20

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Correct Answer : 30


Q15. 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. 2%

B. 2.02%

C. 4.04%

D. 4%

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Correct Answer : 4.04%


Q16. 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 ?

A. 34

B. 68

C. 40

D. 88

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Correct Answer : 88


Q17. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area ?

A. 50% increase

B. 50% decrease

C. 25% increase

D. 75% decrease

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Correct Answer : 50% increase


Q18. The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there ?

A. 24

B. 16

C. 32

D. 48

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Correct Answer : 16


Q19. If the length and breadth of a rectangular room are each increased by 1 m, then the area of floor is increased by 21 sq. m. If the length is increased by 1 m and breadth is decreased by 1 m, then the area is decreased by 5 sq. m. The perimeter of the floor is :

A. 40 m

B. 32 m

C. 30 m

D. 36 m

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Correct Answer : 40 m


Q20. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?

A. 24 m

B. 17 m

C. 20 m

D. 65 m

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Correct Answer : 20 m


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