1)

One diagonal of a rhombus is 8√3 cm. If the other diagonal is equal to its side, then the area (in \(cm^2\) ) of the rhombus is:

SSC CHSL 2021

A)

16√3

B)

32√3

C)

12√3

D)

24√3

2)

Find the area (in cm²) and the diameter (in cm), respectively, of a circle whose circumference is 40π cm?

SSC CHSL 2021

A)

400 π and 40

B)

40 and 400 π

C)

400 and 40

D)

40 and 400

3)

What is the area (in \(m^2\), up to 1 place of decimal) of an equilateral triangular field of side 8.5 m?

SSC CHSL 2021

A)

\(\frac{18.1}{\sqrt{3}}\)

B)

\(18.1\sqrt3\)

C)

\(\frac{72.25}{\sqrt{3}}\)

D)

\(72.25\sqrt3\)

4)

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

5)

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

6)

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

7)

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

8)

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

9)

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

10)

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