Mensuration Practice Problems for SBI POs and Clerks

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Mensuration means measurement. It is being done in our life in many situations. For example, Length of cloth we need for stitching, the area of a wall which is being painted, perimeter of a rectangular plot to be fenced, quantity of water needed to fill the tank, etc. For these kinds of activities, we are doing measurements for further needs.

Here, we cover three areas, those are

1. Perimeter
2. Area and
3. Volume

Try to solve these questions on your own and check with the answers given below the questions. You can check detailed explanations of these answers from here. Happy Reading :)

1. The area of a rectangular plate is 236.25 sq.cm. If the length of the plate is 17.5 cm, find the perimeter of the plate.
1. 65 cm
2. 52 cm
3. 62 cm
4. 67 cm
5. None of these
2. The breadth of a rectangular plot is 75% of its length. If the perimeter of the plot be 1050 m, what is its area ?
1. 12500
2. 57500
3. 62500
4. 67500
5. None of these
3. In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 5% in deficit. What is the change in its area as a percentage ?
1. 1.5%
2. 4.5%
3. 2.5%
4. 5%
5. None of these
4. How many tiles of 20 cm length and 10 cm width are required to pave the floor of a room 8 m long and 5 m wide ?
   
1. 2100
2. 1500
3. 2500
4. 2000
5. None of these
5. The circumference of two circles is 88 metre and 132 metre respectively. What is the difference between the area of the larger circle and the smaller circle ?
1. 440 sq.m
2. 510 sq.m
3. 770 sq.m
4. 225 sq.m
5. None of these
6. A solid metallic spherical ball of radius 7 cm is melted down and recast into small cones. If the diameter of the base of the cone is 14 cm and the height is 2 cm, find the number of such cones can be made ?
1. 14
2. 28
3. 7
4. 12
5. None of these
7. A hall is 10 metres long and 8 metres wide. What will be the cost of carpenting the room if 0.5 metres of space is left around the room ? The rate of 0.25 metre wide carpet is Rs. 20 per metre.
1. Rs. 1560
2. Rs. 2520
3. Rs. 1875
4. Rs. 5040
5. None of these
8. A square field has an area of 50625 sq. m. Find the cost of fencing around it at Rs. 15 per metre. 
1. Rs. 12500
2. Rs. 17500
3. Rs. 13500
4. Rs. 16250
5. None of these
9. Cost of fencing a circular plot at the rate of Rs. 12 per metre is Rs. 2,640. What will be the cost of carpeting the floor of the plot at the rate of Rs. 85 per square metre ?
1. Rs. 3,25,250
2. Rs. 3,22,350
3. Rs. 3,27,250
4. Rs. 3,25,750
5. None of these
10. A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What will be the area of the circle ?
1. 88 cm²  
2. 1250 cm² 
3. 154 cm²
4. 128 cm²
5. None of these 
11. A circular garden has a 7 m wide road around the boarder. Find the cost of leveling the road at Rs. 5 per square meter if the radius of the inner circle is 21 m ?
1. Rs.3490
2. Rs. 5390
3. Rs. 2930
4. Rs. 5695
5. None of these 
12. The lateral surface area of a cylinder is thrice the area of its base. Find the ratio of it's height and the base radius ?
1. 2:3
2. 2:5
3. 3:2
4. 4:9
5. None of these 
13. Two cubes have their volumes in the ratio 8:27. Find the ratio of their surface areas. 
1. 2:3
2. 4:9
3. 16:81
4. 8:9
5. None of these  
14. A horse is tied with a 14 m long rope. How much ground will it be able to graze ?
1. 125 Sq. m
2. 275 Sq. m
3. 625 Sq. m
4. 675 Sq. m
5. None of these 
15. Find the length of the longest stick that can be placed in a room of 12 m long, 9 m broad and 8 m high. 
1. 21 m
2. 29 m
3. 20 m
4. 17 m
5. None of these  
16. A field is 375 m long and 40 m broad. A tank 30 m long, 20 m broad and 12 m deep is dug in the field and earth taken out of it and is spread equally over the field. How much is the level of field raised ?
1. 48 cm
2. 0.5 cm
3. 25 cm
4. 50 cm
5. None of these  
17. A rectangular field of 60-metre length and 40 metres wide is to be surrounded by a road 5 metre wide. If the cost of making 1 square metre road is Rs. 500, what would be the cost of entire road ?
1. Rs. 6,25,000
2. Rs. 5,55,000
3. Rs. 5,50,000
4. Rs. 5,67,500
5. None of these  
18. A room is 7.5 m long, 5.5 m broad and 5 m high. What will be the expenditure in covering the walls by paper 40 cm broad at the rate of 75 paise per metre ?
1. Rs. 245.25
2. Rs. 243.75
3. Rs. 275.50
4. Rs. 275.45
5. None of these 
19. The length and breadth of a rectangle increased by 20% and 10% respectively. How much percent will its area be increased ?
1. 25%
2. 30%
3. 40%
4. 32%
5. None of these  
20. 7 cm radius and 28 cm height solid metallic cylinder is melted and recast into small spherical balls of 7cm radius. Find the number of cubes that can be made ?
1. 12
2. 5
3. 3
4. 6
5. None of these 

Check Detailed Solutions of these problems from here

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