11)

The diameter of a semicircle is 5.6 m what is its perimeter (in m, correct to one decimal place)? ( Take \( \pi = \frac{{22}}{7}\) )

SSC CHSL 2021

A)

17.6

B)

1111.2

C)

8.8

D)

14.4

12)

The perimeter of an isosceles triangle is 3.6 m and its base is 30 cm shorter than each of the equal sides. What is the area (in m²) of the triangle?

SSC CHSL 2021

A)

0.72

B)

0.8

C)

0.54

D)

0.6

13)

Two circular football grounds of radius 42 m and 35 m are to be replaced with a bigger circular ground. What would be the radius of this new ground if the new ground has the same area as the sum of the two small grounds?

SSC CHSL 2021

A)

\(\sqrt{2999}\) m

B)

\(\sqrt{2989}\) m

C)

\(\sqrt{2981}\) m

D)

\(\sqrt{2979}\) m

14)

If the area of a right-angled isosceles triangle is 676 cm², then the length of its hypotenuse is:

SSC CHSL 2021

A)

53 cm

B)

52 cm

C)

50 cm

D)

51 cm

15)

In ΔABC, medians BE and CF are perpendicular to each other and intersect at M. If BE = 9 cm and CF = 13 cm, then the area of ΔABC will be:

SSC CHSL 2021

A)

76 cm²

B)

75 cm²

C)

68 cm²

D)

78 cm²

16)

The area of a circle that is inscribed in a square of area \(17 \frac {9}{11} cm^2\) is :

SSC CHSL 2021

A)

16 cm²

B)

28 cm²

C)

22 cm²

D)

14 cm²

17)

The length of the base of a right-angled triangle is 40 cm and its hypotenuse is 41 cm long. What is its area (in cm²) and perimeter (in cm), respectively?

SSC CHSL 2021

A)

85 and 170

B)

180 and 90

C)

90 and 180

D)

170 and 85

18)

The perimeter of an isosceles triangle is 91 cm and its base is \(1 \frac{1}{4}\) times each of its equal sides. What is the length (in cm) of its base?

SSC CHSL 2021

A)

20

B)

28

C)

35

D)

25

19)

The diameter of a wheel is 1.33 m. What distance (in m, to the nearest whole number) will it travel in 380 revolutions?
(take π = 22/7)

SSC CHSL 2021

A)

1685

B)

1856

C)

1855

D)

1588

20)

The area of a triangular field whose sides are 96m, 110m, and 146 m is equal to the area of a rectangular park whose sides are in the ratio 3 ∶ 2. What is the perimeter (in m) of the rectangular park?

SSC CHSL 2021

A)

80√ 5

B)

40√ 11

C)

20√ 55

D)

40√ 55