**Directions (1-5): Data show the different kind of solids in a toy shop. Shopkeeper or (toymaker) makes different types of toys by joining these solids. Some values are missing, you have to calculate these values if rquired to answer the question.**

**Q1. A toymaker makes a toy in which a cone is mounted on the base of a hemisphere. If the total surface area of the toy is 858 cm² then find the volume of the toy? **

(a) 1950⅔ cm²

(b) 1250⅔ cm²

(c) 1400 cm²

(d) 1500 cm²

(e) None of these

**Q2. Toymaker mounted the cube on the cylinder such that cylinder top is exactly in the middle of the face of the cube. Find the total surface of the toy formed, if the height of formed toy is 11/4 th of the height of cylinder and curved surface area of cylinder is 66 times the height of cylinder. **

(a) 3125 cm²

(b) 2794.5 cm²

(c) 4112 cm²

(d) 5123 cm²

(e) 3438 cm²

**Q3. If given sphere is cut into two hemisphere and these hemispheres are mounted on both ends of the cylinder, then find out the ratio of volumes of toy formed by joining both hemispheres on cylinder, cylinder and sphere. **

(a) 7 : 6 : 13

(b) 6 : 13 : 7

(c) 13 : 6 : 7

(d) 13 : 7 : 6

(e) None of these

**Q4. Volume of the cuboid is approximately what percent more or less than the volume of cone if slant height of cone is 25 cm and the breadth of the cuboid is 25% of the height of cone.**

(a) 7%

(b) 11%

(c) 14%

(d) 17%

(e) 21%

**Q5. A solid right circular cylinder has radius r and height 5r. A solid right circular cone is carved out from one end of the base of cylinder. If base radius of cone is r and height is 2√2 r then, find the ratio between total surface area of cone to the total surface area of remaining part of cylinder. **

(a) 3 : 5

(b) 4 : 7

(c) 2 : 7

(d) 3 : 4

(e) 1 : 3

**Directions (6-10): Table given below shows the amount paid, mileage and time (in hours) for which five taxis are hired by a business man at the rate of Rs. 5/km plus the cost of petrol at Rs. 60/Litre.**

**Q6. Amount paid to taxi Q and S together will how much increase, if mileages of both taxis are decreased by 2km/Litre (distance covered will be same.**

(a) Rs.470

(b) Rs.475

(c) Rs.575

(d) Rs.674

(e) Rs.325

**Q7. Average speed of taxi Q is what percent less/more than the average speed of taxi P?**

(a) 13 ⅓%

(b) 12⅔%

(c)10%

(d) 6⅔%

(e) 16⅔%

**Q8. If taxi S travel his journey in two equal halves with two different speed having ratio 3:2 then find the time for which it travels with higher speed?**

(a) 12 hours

(b) 10 hours

(c) 16 hours

(d) 18 hours

(e) 14 hours

**Q9. What is the ratio of the average speed of the taxi R to that of taxi T?**

(a) 21:16

(b) 12:23

(c) 14:17

(d) 16:21

(e) None of these

**Q10. Find the average of the total distance covered by all five taxis?**

(a) 314.6 km

(b) 298.4 km

(c) 412 km

(d) 344.6 km

(e) 346.6 km

**Solutions**