Mensuration

Mensuration

Mensuration

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Mensuration SSC II 0%

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Question 1 of 25

1. Question
What is the area of a circle whose radius is equal to the side of a square whose perimeter is 196 metres?
- 7120 sq.m
- 5243 sq.m
- 7546 sq.m
- All of these
- None of these
Correct

Incorrect
Question 2 of 25

2. Question
The area of a circular field is 3850 m². Find the cost of fencing the field at Rs.4 per meter ?
- Rs. 823
- Rs. 880
- Rs. 800
- Rs. 782
- None of these
Correct

Incorrect
Question 3 of 25

3. Question
The difference between the circumference and the radius of a circle is 111 cm. The area of the circle is ?
- 1200
- 1326
- 1196
- 1386
- None of these
Correct

Incorrect
Question 4 of 25

4. Question
What is the height of the cylinder if its volume is given by 210 cubic meters and its base area is given by 30 square meters ?
- 5 m
- 6 m
- 7 m
- All of the above
- None of these
Correct

Incorrect
Question 5 of 25

5. Question
What is its surface area of the sphere if the volume of the sphere is $179 \frac{2}{3}$ m³?
- 154
- 151
- 159
- 160
- None of these
Correct

Incorrect
Question 6 of 25

6. Question
A single solid sphere is melted into three solid spheres of lead whose radii are 1 cm, 6 cm, 8 cm respectively. Find the radius of the original sphere?
- 9 cm
- 10 cm
- 8 cm
- 11 cm
- None of these
Correct

Incorrect
Question 7 of 25

7. Question
From a square piece of a paper having each side equal to 10 cm, the largest possible circle is being cut out. The ratio of the area of the circle to the area of the original square is nearly?
- 10/9
- 11/14
- 5/7
- 11/23
- None of these
Correct

Incorrect
Question 8 of 25

8. Question
How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose base is 10 m and height is 24 m?
- 40π
- 30π
- 50π
- 60π
- None of these
Correct

Incorrect
Question 9 of 25

9. Question
Cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes are?
- 1 : 2 : 3
- 2 : 3 : 4
- 1 : 3 : 5
- 2 : 7 : 8
- None of these
Correct

Incorrect
Question 10 of 25

10. Question
If two opposite sides of a square are increased by 10 cm each, then the sides of previous and new figure are in the ratio of 11:12. What is the area of the original square?
- 22306
- 15700
- 12100
- 12139
- None of these
Correct

Incorrect
Question 11 of 25

11. Question
A cuboidal tank measuring 5m × 2.1 m × 4.5m is dug in one corner of a field measuring 13.5 m × 2.5m. The earth dug out is spread evenly over the remaining portion of the field. How much is the level of the field raised?
- 3.12 m
- 2.35 m
- 2.03 m
- 5.91 m
- None of these
Correct

Incorrect
Question 12 of 25

12. Question
A circle is drawn with diameter 20 cm. A point P is taken on the circle such that the triangle PQR formed by P with diameter QR is isosceles. What will be the area of minor segment formed by chord PQ (in square cm)?
- 22.3
- 28.5
- 25.9
- 18.2
- None of these
Correct

Incorrect
Question 13 of 25

13. Question
A ladder reaches a window which is 24 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 7 m high. Find the width of the street if the length of the ladder is 25 m?
- 30 m
- 22 m
- 35 m
- 31 m
- None of these
Correct

Incorrect
Question 14 of 25

14. Question
A, B, C is a triangle and D, E, F are the mid-points of the sides BC, CA and AB respectively. The ratio of the areas of ΔABC and ΔDEF is?
- 4 : 1
- 2 : 3
- 4 : 5
- 5 : 2
- None of these
Correct

Incorrect
Question 15 of 25

15. Question
A solid cylinder has a total surface area of 231 cm². It its curved surface area is two thirds of the total surface area, the volume of the cylinder is?
- 262.6
- 260.2
- 269.5
- 235.9
- None of these
Correct

Incorrect
Question 16 of 25

16. Question
Find out the ratio of the volume of a cube and volume of a ball, if the ball fits exactly inside the cube?
- 6 : π
- 2 : π
- 3 : 5
- 6 : 7
- None of these
Correct

Incorrect
Question 17 of 25

17. Question
A group of kids decided to compete by throwing maximum number of stones in a tank which is 80 m long and 50 m. broad. If 250 stones were thrown by them and the average displacement of 1 stone is 4 cub. m, what was the rise in the water level?
- 22 cm
- 25 cm
- 35 cm
- 20 cm
- None of these
Correct

Incorrect
Question 18 of 25

18. Question
Shreya estimated the cost of painting the four walls of her old room to be Rs. 600. If the length, breadth and height of her new room are double of that her old room. What will be the cost of painting all the four walls of her new room?
- Rs. 2100
- Rs. 2400
- Rs. 2000
- Rs. 1400
- None of these
Correct

Incorrect
Question 19 of 25

19. Question
The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72 cms and the length of the rectangle is 12 cms, what is the difference between the breadth of the rectangle and the side of the square?
- 12 cm
- 11 cm
- 15 cm
- 20 cm
- None of these
Correct

Incorrect
Question 20 of 25

20. Question
If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle?
- 110 sq.cm
- 120 sq.cm
- 100 sq.cm
- 140 sq.cm
- None of these
Correct

Incorrect
Question 21 of 25

21. Question
The area of the sector of a circle with a radius of 6 cm and an arc of length of 12 cm is?
- 36
- 32
- 30
- 26
- None of these
Correct

Incorrect
Question 22 of 25

22. Question
Find the perimeter of a regular hexagon whose area is 24√3 cm ?
- 21 cm
- 24 cm
- 20 cm
- 15 cm
- None of these
Correct

Incorrect
Question 23 of 25

23. Question
What is the area of a triangle having perimeter 32 cm , one side 11 cm and difference of other two sides 5 cm ?
- 8\sqrt{30}
- 12\sqrt{2}
- 8\sqrt{22}
- 6\sqrt{16}
- None of these
Correct

Incorrect
Question 24 of 25

24. Question
An inverted right circular cone has a radius of 9 cm. This cone is partly filled with oil which is dipping from a hole in the tip at a rate of 1cm³/hour. Currently the level of oil 3 cm from top and surface area is 36π cm². How long will it take the cone to be completely empty?
- 200π hours
- 216π hours
- 245π hours
- 116π hours
- None of these
Correct

Incorrect
Question 25 of 25

25. Question
The length of a rectangular field is increased by 30% and breadth is decreased by 30%. What is the per cent increase or decrease in its area?
- 9% decrease
- 15% increase
- 11% decrease
- 21% increase
- None of these
Correct

Incorrect

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