**APTITUDE QUIZ**

**Q1.Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is**

- 10 cm
- 12 cm
- 16 cm
- 18 cm

**Q2. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corner, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is**

- 6420
- 8960
- 5120
- 4830

**Q3. A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is**

- 30
- 60
- 120
- 150

**Q4. If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be**

- 3
- 4
- 5
- 6

**Q5. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of man is**

- 12 kg
- 60 kg
- 72 kg
- 96 kg

**Q6. A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out?**

- 32 m3
- 36 m3
- 40 m3
- 44 m3

**Q7. The volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is :**

- 89.8 cm³
- 92.5 cm³
- 132.8 cm³
- 144.5 cm³

**Q8. The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.**

- 1/4
- 1/8
- 2/4
- 4/1

**Q9. The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96∏ cm³, what is its slant height?**

- 8 cm
- 10 cm
- 12 cm
- 14 cm

**Q10. The curved surface of a right circular cone of height 15cm and base diameter 16 cm is :**

- 40 ∏cm³
- 60 ∏cm³
- 136 ∏cm³
- 138 ∏cm³

**Q11. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :**

- 84 m
- 88 m
- 120 m
- 137 m

** **

**Q12. A powder tin has a square base with side 8 cm and height 14 cm. Another tin has a circular base with diameter 8 cm and height 14 cm. The difference in their capacities is :**

- 168 cm³
- 192 cm³
- 228 cm³
- 236 cm³

**Q13. If each edge of a cube is doubled, then its volume :**

- Becomes 8 times
- Becomes 9 times
- is double
- Becomes 6 times

**Q14. A cube of edge 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:**

- 1:25
- 1.225
- 1:52
- 1:522

**Q15. An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are :**

- 10 cm, 20 cm
- 2 cm, 10 cm
- 100 cm, 20 cm
- 30 cm100 cm

**Q16. A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The height of the cone is :**

- 12 cm
- 14 cm
- 16 cm
- 17 cm

**Q17. A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is :**

- 8 cm
- 6 cm
- 4 cm
- 3 cm

**Q18. A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be :**

- 8 cm
- 9 cm
- 10 cm
- 11 cm

**Q19. A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm * 5 cm * 2 cm. The percentage of wood wasted is :**

- 26 %
- 28 %
- 32 %
- 34 %

**Q20. The slant height of a conical mountian is 2.5 km and the area of its base is 1.54 km². The height of the mountain is:**

- 2.4 km
- 2.6 km
- 4.5 km
- 5.4 km

**-:ANSWERS:-**

**1ANSWER:B**

**2ANSWER:C**

**3ANSWER:C**

**4ANSWER:D**

**5ANSWER:B**

**6ANSWER:D**

**7ANSWER:A**

**8ANSWER:A**

**9ANSWER:B**

**10ANSWER:C**

**11ANSWER:A**

**12ANSWER:B**

**13ANSWER:A**

**14ANSWER:A**

**15ANSWER:A**

**16ANSWER:B**

**17ANSWER:D**

**18ANSWER:A**

**19ANSWER:D**

**20ANSWER:A**