21)

The lengths of three sides of a triangle are in the ratio 3 ∶ 4 ∶ 5. Among three sides, the difference between the largest side and the smallest side of this triangle is 3.6 cm. The area (in \(cm^2\)) of the triangle is:

SSC CHSL 2021

A)

21.75

B)

19.44

C)

15.64

D)

32.4

22)

The area of a triangular field whose sides are 65 m, 72 m, and 97 m is equal to the area of a rectangular park whose sides are in the ratio of 5 ∶ 13. What is the perimeter (in m ) of the rectangular park?

SSC CHSL 2021

A)

144

B)

180

C)

108

D)

216

23)

The perimeter of ΔABC and ΔDEF are 39.6 cm and 26.4 cm, respectively, and ΔABC ~ ΔDEF. What is the ratio of the areas of ΔABC and ΔDEF?

SSC CHSL 2021

A)

3 ∶  2

B)

9 ∶ 4

C)

16 ∶ 9

D)

9 ∶ 2

24)

The length of a rectangle is 10 cm more than the side of a square and its breadth is 8 cm less than the side of the square. If the areas if both the rectangle and square are equal, then what will be perimeter (in cm) of the rectangle?

SSC CHSL 2021

A)

164

B)

160

C)

156

D)

144

25)

If the perimeter of a circle is 88 cm, then what is the area of the circle? (Take π = 22/7)

SSC CHSL 2021

A)

446 cm²

B)

886 cm²

C)

566 cm²

D)

616 cm²

26)

From a point P that is at a distance of 15 cm from centre O of a circle of radius 9 cm, in the same plane, a pair of tangents PQ and PR is drawn to the circle. The area of quadrilateral PQOR is:

SSC CHSL 2021

A)

118 cm²

B)

108 cm²

C)

114 cm²

D)

106 cm²

27)

The length of the base of a triangle is 3 cm smaller than the length of its altitude. Its area is 104 cm². What is the length of the base?

SSC CHSL 2021

A)

11 cm

B)

12 cm

C)

14 cm

D)

13 cm

28)

The inner and outer radii of two concentric circles are 6.7 cm and 9.5 cm, respectively. What is the difference between their circumferences (in cm) ? Take π = 22/7

SSC CHSL 2021

A)

10.4

B)

6.5

C)

17.6

D)

20.5

29)

One-quarter of a circular pizza of diameter 28 cm was removed from the whole pizza. What is the perimeter (in cm) of the remaining pizza? (Take π = 22/7)

SSC CHSL 2021

A)

88

B)

80

C)

66

D)

94

30)

What is the perimeter (in cm) of an equilateral triangle whose height is 3.46 cm ? Take √3 = 1.73.

SSC CHSL 2021

A)

6

B)

9

C)

12

D)

10.4