# Quant Quiz on “CIRCLE” for SSC CGL 2016

1. A wheel makes 4000 revolutions in moving a distance of 44 km. Find the radius of the wheel.

1.75 m
2.75 m
2.5 m
2.88 m
Solution:

2. If the area of a semi-circle be 77 sq m, find its perimeter.

36 m
42 m
48 m
54 m

Solution:

3. The area of a sector of a circle of radius 36 cm is 72πcm2. The length of the corresponding arc of the sector is

π cm
2π cm
3π cm
4π cm

Solution:

4. If the radius of a circle is increased by 6%, find the percentage increase in its area.

15%
12.36%
8.39%
17%

Solution:

5. The area of a sector of a circle is 77 sq cm and the angle of the sector is 45°. Find the radius of the circle.

7 cm
14 cm
21 cm
28 cm

Solution:

6. The ratio of the areas of the circumcircle and the incircle of a square is

2 : 1
1 : 2
√2 ∶1
1 : √2

Solution:

7. The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.

6 cm
3.2 cm
3 cm
3.5 cm

Solution:

8. Find the length of a rope by which a cow must be tethered in order that may be able to graze an area of 154 sq m.

7 m
8 m
12 m
13 m

Solution:

9. What is the area of the larger segment of circle formed by a chord of, length 5 cm subtending an angle of 90° at the centre?

a
b
c
d

Solution:

10. A man riding a bicycle, completes one lap of a circular field along its circumference at the speed of 14.4 km/h in 1 min 28 s. What is the area of the field ?

7958 sq m
9856 sq m
8842 sq m
Cannot be determined

Solution:

11. A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is (take π = 22/7)

10.5 m
3.5 m
5.5 m
7.5 m

Solution:

12. What is the total area of three equilateral triangles inscribed in a semi-circle of radius 2cm ?

12 cm2
(3√3)/4 cm2
(9√3)/4 cm2
3√3 cm2

Solution:

13. How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

8
6
5
2

Solution:

14. What is the area of a circle whose area is equal to that of a triangle with sides 7 cm, 24 cm and 25 cm ?

80 cm2
84 cm2
88 cm2
90 cm2

Solution:

15. A circle of radius 10 cm has an equilateral triangle inscribed in it. The length of the perpendicular drawn from the centre to any side of the triangle is

2.5√3cm
5√3 cm
10√3 cm
None of these

Solution:

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