Question : There is a rectangular garden of 150 m × 25 m. A path of width 10 m is built around the garden. What is the area of the path?
Option 1: 3700 m2
Option 2: 3550 m2
Option 3: 3900 m2
Option 4: 3220 m2
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Correct Answer: 3900 m2
Solution : Given: There is a rectangular garden of 150 m × 25 m. A path of width 10 m is built around the garden. Here, the length of the garden ($l$) = 150 m The breadth of the garden ($b$) = 25 m The width of the path ($w$) = 10 m So, the area of the path = $2w(l+b+2w)$ = $2×10×(150+25+20)$ = $20×195$ = 3900 m2 Hence, the correct answer is 3900 m2.
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Question : The area of the base of a rectangular tank is 70 m2 and the volume of water contained in it is 2800 m3. What is the depth of the water?
Option 1: 30 m
Option 2: 40 m
Option 3: 50 m
Option 4: 60 m
Question : If A = 23 × 37, B = 27 × 35 and C = 28 × 34, then what is the least common multiple of A, B and C?
Option 1: 27× 37
Option 2: 26 × 37
Option 3: 28 × 37
Option 4: 29 × 37
Question : If the area of the non-spherical portion of a solid hemisphere is 1,560 m2, then the total surface area of the hemisphere is:
Option 1: 6,240 m2
Option 2: 4,680 m2
Option 3: 5,140 m2
Option 4: 3,120 m2
Question : The length of two parallel sides of a trapezium are 25 metres and 30 metres. If its height is 20 metres, then what is the area of the trapezium?
Option 1: 420 m2
Option 2: 350 m2
Option 3: 590 m2
Option 4: 550 m2
Question : The side of a square is equal to 40% of the radius of a sphere. If the volume of the sphere is $\frac{500 \pi}{3} \mathrm{~m}^3$, then what is the area of the square?
Option 1: 2 m2
Option 2: 1 m2
Option 3: 9 m2
Option 4: 4 m2
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