**Q1. On a straight road XY, 100 m long, five heavy stones are placed 2 m apart beginning at the end X. A worker, starting at X, has to transport all the stones to Y, by carrying only one stone at a time. The minimum distance he has to travel is:**

(a) 472 m

(b) 422 m

(c) 744 m

(d) 860 m

**Q4. At each corner of a triangular field of sides 26 cm, 28 m and 30 m, a cow is tethered by a rope of length 7 m, the area (in m) ungrazed by the cows is**

(a) 336

(b) 259

(c) 154

(d) 77

**Q5. A godown is 15 m long and 12 m broad. The sum of the area of the floor and the celling is equal to the sum of areas of the four walls. The volume (in m^3) of the godown is:**

(a) 900

(b) 1200

(c) 1800

(d) 720

**Q6. The perimeter of the top of a rectangular table is 28 m., whereas its area is 48 m^2. What is the length of its diagonal?**

(a) 5 m

(b) 10 m

(c) 15 m

(d) 20 m

**Q10. A cistern is filled up in 5 hours and it takes 6 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?**

(a) 6 h

(b) 5 h

(c) 30 h

(d) 15 h

**Q11. If the length and the perimeter of a rectangle are in the ratio 5:16. Then its length and breadth will be in the ratio**

(a) 5:11

(b) 5:8

(c) 5:4

(d) 5:3

**Q12. If the arcs of unit length in two circles subtend angles of 60° and 75° at their centres, the ratio of their radii is**

(a) 3: 4

(b) 4: 5

(c) 5: 4

(d) 3: 5

**Q13. A wooden box measures 20 cm by 12 cm by 10 cm. Thickness of wood is 1 cm. Volume of wood to make the box (in cube cm) is**

(a) 960

(b) 519

(c) 2400

(d) 1120

**Q14. The area of three consecutive faces of a cuboid are 12 cm^2, then the volume (in cm^3) of the cuboid is**

(a) 3600

(b) 100

(c) 80

(d) 24 √3

**Q15. Three solid iron cubes of edges 4 cm, 5cm and 6 cm are melted together to make a new cube, 62cm^3 of the melted material is lost due to improper handling. The area (in cm^2) of the whole surface of the newly formed cube is**

(a) 294

(b) 343

(c) 125

(d) 216