31)

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

32)

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

33)

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

34)

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

35)

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

36)

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

37)

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

38)

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

39)

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

40)

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