Mensuration MCQ Set 6

MENSURATION MCQ SET 6

1. A rectangular area of 6 sq. m is to be painted on a 3m x 4m board leaving of uniform width on all sides . What should be the width of the border ?

(a) 0.25 m

(b) 0.5 m

(c) 1 m

(d) 3 m

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Answer: B

2. What is the maximum area of a rectangle , the perimeter of which is 18 cm?

(a) 20.25 cm^2

(b) 20.00 cm^2

(c) 19.75 cm^2

(d)19.60 cm^2

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Answer: A

3. A rectangular carpet has an area of 120 m^2 and a perimeter of 46 meter . The length of its diagonal is

(a) 17 meter

(b) 21 meter

(c) 13 meter

(d) 23 meter

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Answer: A

4. A path of uniform width runs round the inside of a rectangular field 38 m long and 32m wide , If the path occupies 600 m^2 , then the width of the path is –

(a) 30 m

(b) 5 m

(c) 18.75 m

(d) 10 m

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Answer: B

5. A street of width 10 meters surrounds from outside a rectangular garden whose measurement is 200 m x 180 m . The area of the path (in square meters) is .

(a) 8000

(b) 7000

(c) 7500

(d) 8200

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Answer: A

6. A took 15 seconds to cross a rectangular field diagonally walking at the ratio of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68 m/min . The area of the field is :

(a) 30 m^2

(b) 40 m^2

(c) 50 m^2

(d) 60 m^2

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Answer: D

7. There is a rectangular tank of length 180 m and breadth 120 m in a circular field , If the area of the land portion of the field is 40000 m^2 , what is the radius of the field? (Take π = 22/7)

(a) 130 m

(b) 135 m

(c) 140 m

(d) 145 m

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 Answer: C

8. The area of a square shaped field is 1764 m^2 . The breadth of a rectangular park is 1/6th of the side of the square field and the length in four times its breadth . What is the cost (in Rs.) of levelling park at Rs.30 per m^2?

(a) 5880

(b) 4768

(c) 2940

(d) 6342

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Answer: A

9. A rectangular park is 60m long and 40m wide . There are two paths in the middle of the plot parallel to its sides . The width of path is 4 meter . These paths cuts to each of the at right angle . Then find the cost of cementing the path at the rate of 7.50Rs./m^2?

(a) Rs.25780

(b) Rs.2880

(c) Rs.2650

(d) Rs.2000

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Answer: B

10. A playground is in the shape of rectangular . A sum of Rs.1000 was spent to make the ground usable at the rate of 25 paise per sq. m . The breadth of the ground is 50m . If the length of the ground is increased by 20 m . What will be the expenditure (in rupees) at the same rate per sq. m?

(a) 1250

(b) 1000

(c) 1500

(d) 2250

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Answer: A