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
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
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
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
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
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
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 ฯ = 22/7)
(a) 130 m
(b) 135 m
(c) 140 m
(d) 145 m
ย 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
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
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
Answer: A





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