61)

A rectangle with perimeter 50 cm has its sides in the ratio 1 ∶ 4. What is the perimeter of a square whose area is the same as that of the rectangle?

SSC CHSL 2021

A)

36 cm

B)

50 cm

C)

40 cm

D)

45 cm

62)

If the length of the diagonal of a cube is 16√3 cm, what is its lateral surface area (in sq cm)?

SSC Selection Post Matric 2022

A)

1,536

B)

2,048

C)

3,072

D)

1,024

63)

A 70 cm wide path is made around a circular garden having a diameter of 14 meters. What is the area of the path (in m²)?

SSC Selection Post Matric 2022

A)

8.29 \(\pi\)

B)

11.29 \(\pi\)

C)

10.29 \(\pi\)

D)

13.29 \(\pi\)

64)

The breadth of a rectangular field is 7.5 m shorter than its length. One-third of the breadth is equal to one-fourth of the length of the rectangle. What is the average (in m, to the nearest integer) of its length and breadth?

SSC Selection Post Matric 2022

A)

26

B)

30

C)

23

D)

25

65)

What is the area (in sq.m) of a circular path of uniform width of 1.4 m surrounding a circular garden of diameter 126 m?  (Take  π = 22/7)

SSC Selection Post Matric 2022

A)

556.16

B)

564.96

C)

560.56

D)

604.56

66)

The lateral surface area of a cube is 576 cm². What is its volume (in cm³) ?

SSC Selection Post Matric 2022

A)

384√6

B)

1728

C)

2744

D)

4096

67)

If the diameter of the base of a cone is 24 cm and its curved surface area is \(1395\frac{3}{7}\) cm², then its volume (in cm³) is:
Take π =\(\frac{22}{7}\)

SSC Selection Post Matric 2022

A)

5728

B)

5287

C)

5280

D)

5782

68)

The area of triangular field with sides 48 m, 90 m and 102 m is equal to 3 times the area of rectangular plot whose sides are in the ratio 4 ∶ 5. The perimeter of the rectangular plot is:

SSC Selection Post Matric 2022

A)

90 m

B)

144 m

C)

108 m

D)

126 m

69)

A park is in a shape of a rectangle with length 180 m and breadth 120 m. At the centre of the park, there is a circular lawn of circumference 502.4 m. The area of the park, excluding the area of lawn, in m² is: (Take π = 3.14)

SSC Selection Post Matric 2022

A)

1540

B)

1405

C)

1504

D)

1450

70)

The length (in m) of the longest pole that can be fitted in a room of dimensions 24 m × 12 m × 3 m is:

SSC Selection Post Matric 2022

A)

30

B)

28

C)

32

D)

27