21)

The perimeter of a rhombus is 148 cm, and one of its diagonals is 24 cm. The area (in cm²) of the rhombus is:

SSC CHSL 2021

A)

875

B)

700

C)

840

D)

770

22)

What is the perimeter of a right-angled triangle whose sides (making 90°) are 20√3 cm and 15√3 cm?

SSC CHSL 2021

A)

65√3 cm

B)

60√3 cm

C)

50√3 cm

D)

55√3 cm

23)

A wire is bent to form a square of area 169 cm².If the same wire is bent to form a circle, then what is its area (in cm², to the nearest whole number)?
Take  [\(\pi = \frac{{22}}{7}\) ]

SSC CHSL 2021

A)

532

B)

531

C)

215

D)

227

24)

The perimeter and the area of a rectangular sheet are 42 m and 108 m², respectively. The length of the diagonal is:

SSC CHSL 2021

A)

12 m

B)

15 m

C)

10 m

D)

14 m

25)

ΔABC ~ ΔEDF, Area ABC ∶ Area DEF = 49 ∶ 4. If AB, AC, BC are, respectively, 10 cm, 14 cm, 21 cm, then what is the length (in cm) of EF?

SSC CHSL 2021

A)

6

B)

3.5

C)

4

D)

4.5

26)

ΔABC ~ ΔPQR. The perimeters of ΔABC and ΔPQR are 72 cm and 43.2 cm, respectively. What is the ratio of the are area of ΔABC to the area of ΔPQR?

SSC CHSL 2021

A)

25 ∶ 9

B)

36 ∶ 25

C)

9 ∶ 4

D)

16 ∶ 9

27)

The sum of the radii of two circles is 286 cm and the area between the concentric circle is 50336 cm² what are the radii (in cm) of the two circles? Take \( \pi =\frac{{22}}{7}\)

SSC CHSL 2021

A)

171 and 84

B)

91 and 84

C)

115and 91

D)

115 and 171

28)

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

29)

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

30)

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