101)

How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimension 88 cm, 63 cm, 42 cm,\((take \pi= \frac{22}{7} ) \)?

SSC CGL 2022

A)

650

B)

750

C)

920

D)

860

102)

The area of two similar triangles are 324 cm² and 289 cm², respectively. What is the ratio of their corresponding altitudes?

SSC CGL 2022

A)

\(\frac{19}{17}\)

B)

\(\frac{17}{19}\)

C)

\(\frac{17}{18}\)

D)

\(\frac{18}{17}\)

103)

A horse is grazing in a field. It is tied to a pole with a rope of length 6 m. The horse moves from point A to point B making an arch with an angle of 70°. Find the area of the sector grazed by the horse.

SSC CGL 2022

A)

23 m

B)

21 m

C)

22 m

D)

20 m

104)

The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.

SSC CGL 2022

A)

\({{6600} \over 18}\) cm²

B)

\({{6600} \over 9}\) cm²

C)

\({{6600} \over 7}\) cm²

D)

\({{6600} \over 14}\) cm²

105)

The area of a triangle is 96 cm² and the ratio of its sides is 6 ∶ 8 ∶ 10. What is the perimeter of the triangle?

SSC CGL 2022

A)

64 cm

B)

56 cm

C)

48 cm

D)

44 cm