Quantitative Aptitude Questions On Area

QUANTITATIVE APTITUDE QUESTIONS ON AREA:

In this post i am sharing a set of 30 question with you.Try to solve these problems and i hope you would find these questions helpful in your preparation.
If you have any doubt in any question related to this post please post your comment.

1. An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
A. 4.04 %	B. 2.02 %
C. 4 %	D. 2 %

2. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
A. 5 m	B. 4 m
C. 2 m	D. 3 m

3. A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the percentage of decrease in area?
A. 30 %	B. 28 %
C. 32 %	D. 26 %

4. If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area?
A. 25 % Increase	B. 25 % Decrease
C. 50 % Decrease	D. 50 % Increase

5. A person walked diagonally across a square plot. Approximately, what was the percent saved by not walking along the edges?
A. 35%	B. 30 %
C. 20 %	D. 25%

6. A rectangular field has 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. 95	B. 92
C. 88	D. 82

7. A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, find out the area of the parking space in square feet?
A. 126 sq. ft.	B. 64 sq. ft.
C. 100 sq. ft.	D. 102 sq. ft.

8. The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot?
A. 14 metres	B. 20 metres
C. 18 metres	D. 12 metres

9. A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
A. 400	B. 365
C. 385	D. 315

10. The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 800 per sq. metre.
A. Rs.12000	B. Rs.19500
C. Rs.18000	D. Rs.16500.

11. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. What is the length of the rectangle?
A. 18 cm	B. 16 cm
C. 40 cm	D. 20 cm

12. If a square and a rhombus stand on the same base, then what is the ratio of the areas of the square and the rhombus?
A. equal to ½	B. equal to ¾
C. greater than 1	D. equal to 1

13. The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m, find out the area of the field.
A. 37500 m2	B. 30500 m2
C. 32500 m2	D. 40000 m2

14. A room 5m 44cm long and 3m 74cm broad needs to be paved with square tiles. What will be the least number of square tiles required to cover the floor?
A. 176	B. 124
C. 224	D. 186

15. 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. 100 m
C. 75 m	D. 50 m

16. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in sq. m)?
A. 142000	B. 112800
C. 142500	D. 153600

17. What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20%?
A. 45%	B. 44%
C. 40%	D. 42%

18. If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 206 m, what is its area?
A. 2800 m2	B. 2740 m2
C. 2520 m2	D. 2200 m2

19. 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. 16 cm	B. 18 cm
C. 14 cm	D. 20 cm

20. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
A. 814	B. 802
C. 836	D. 900

21. The diagonal of the floor of a rectangular room is 15/2 feet. The shorter side of the room is 9/2 feet. What is the area of the room?
A. 27 square feet	B. 22 square feet
C. 24 square feet	D. 20 square feet

22. The diagonal of a rectangle is $\sqrt{41}$ cm and its area is 20 sq. cm. What is the perimeter of the rectangle?
A. 16 cm	B. 10 cm
C. 12 cm	D. 18 cm

23. A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering of its walls and bottom at the rate of 75 paise per sq. m?
A. Rs. 558	B. Rs. 502
C. Rs. 516	D. Rs. 612

24. It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction?
A. Rs.3500	B. Rs. 4200
C. Insufficient Data	D. Rs. 4400

25. The area of a parallelogram is 72 cm2 and its altitude is twice the corresponding base. What is the length of the base?
A. 6 cm	B. 7 cm
C. 8 cm	D. 12 cm

26. Two diagonals of a rhombus are 72 cm and 30 cm respectively. What is its perimeter?
A. 136 cm	B. 156 cm
C. 144 cm	D. 121 cm

27. The base of a parallelogram is (p + 4), altitude to the base is (p - 3) and the area is (p2- 4), find out its actual area.
A. 40 sq. units	B. 54 sq. units
C. 36 sq. units	D. 60 sq. units

28. A circle is inscribed in an equilateral triangle of side 24 cm, touching its sides. What is the area of the remaining portion of the triangle?
A. $144\sqrt{3}-48\pi$ cm2	B. $121\sqrt{3}-36\pi$ cm2
C. $144\sqrt{3}-36\pi$ cm2	D. $121\sqrt{3}-48\pi$ cm2

29. A rectangular plot measuring 90 metres by 50 metres needs to be enclosed by wire fencing such that poles of the fence will be kept 5 metres apart. How many poles will be needed?
A. 30	B. 44
C. 56	D. 60

30. If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter
A. 42 cm	B. 64 cm
C. 56 cm	D. 52 cm

31. What will be the length of the longest rod which can be placed in a box of 80 cm length, 40 cm breadth and 60 cm height?
A. $\sqrt{11600}$ cm	B. $\sqrt{14400}$ cm
C. $\sqrt{10000}$ cm	D. $\sqrt{12040}$ cm

ANSWERS:

1 A 2 D 3 B 4 D 5 B 6 C 7 A 8 B 9 D 10 D
11 C 12 C 14 A 15 A 16 D 17 B 18 C 19 B 20 A
21 A 22 D 23 A 24 C 25 A 26 B 27 D 28 A 29 C 30 D 31 A

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