41). If a circle and a square have same area, then ratio of the side of the square and radius of the circle is
| A). \( \Large \sqrt{ \pi } : 1 \) |
| B). \( \Large 1 : \sqrt{ \pi } \) |
| C). \( \Large 1 : \pi \) |
| D). \( \Large \pi : 1 \) |
|
42). Two cones have their heights in the ratio 2 : 3 and radii of their bases in the ratio 3 : 4. The ratio of their volumes is
| A). 3 : 6 |
| B). 3 : 8 |
| C). 3 : 7 |
| D). 3 : 5 |
|
43). If a right cylinder and a right circular cone have the same radius and same volume, then ratio of the height of the cylinder to that of the cone is
| A). 3 : 2 |
| B). 2 : 3 |
| C). 3 : 1 |
| D). 1 : 3 |
|
44). If diameter of the base of a right circular cone is 8 cm and its slant height is 35 cm, then area of the curved surface of the cone is
| A). \( \Large 440 cm^{2} \) |
| B). \( \Large 430 cm^{2} \) |
| C). \( \Large 420 cm^{2} \) |
| D). \( \Large 400 cm^{2} \) |
|
45). The dimensions of the floor of a rectangular hall are \( \Large 60 m \times 50 m \). The floor of this hall is to be tiled fully with \( \Large 20 cm \times 10 cm \) rectangular tiles without breaking them to smaller size. The number of tiles required is
| A). 100000 |
| B). 160000 |
| C). 150000 |
| D). 50000 |
|
46). If volume of a sphere is \( \Large \frac{88}{21} \left(14\right)^{3} cm^{3} \), then curved surface of this sphere is
| A). \( \Large 2664 cm^{2} \) |
| B). \( \Large 2446 cm^{2} \) |
| C). \( \Large 2464 cm^{2} \) |
| D). \( \Large 2466 cm^{2} \) |
|
47). A solid consists of a rectangular cylinder with an exact fitting right circular cone placed on the top. Height of the cone is h. If total volume of the solid is three times the volume of the cone, then height of the circular cylinder is
| A). \( \Large \frac{2h}{9} \) |
| B). \( \Large \frac{2h}{3} \) |
| C). \( \Large \frac{3h}{2} \) |
| D). \( \Large \frac{4h}{3} \) |
|
48). Length of the longest rod that can be placed in a room 30m long, 24 m broad and 18 m high is
| A). 30 m |
| B). \( \Large 15\sqrt{2} m \) |
| C). 60 m |
| D). \( \Large 30\sqrt{2} m \) |
|
49). Consider a right pyramid on a rectangular base. If dimensions of the base are 32 metres by 10 metre and vertical height of the right pyramid is 12 meters, then whole surface area of this right pyramid is
| A). \( \Large 900 m^{2} \) |
| B). \( \Large 912 m^{2} \) |
| C). \( \Large 924 m^{2} \) |
| D). \( \Large 936 m^{2} \) |
|
50). Find the surface area, diagonal and volume of 'a' cube whose side is 4 cm. long.
| A). 96 sq.cm., \( \Large 4 \sqrt{3} \) cm, 64 cu.m. |
| B). 80 sq.m., \( \Large 8 \sqrt{3} \) cm, 96 cu.m. |
| C). 100 sq.m., \( \Large 9 \sqrt{3} \) cm, 108 cu.m. |
| D). 64 sq.m., \( \Large 12 \sqrt{3} \) cm, 102 cu.m. |
|
