Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs.Who made more runs per over?

Two pipes running together can fill cistern in 6 minutes. One pipe takes 5 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.

A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.

Juhi wants to buy a bicycle. She goes to the market and finds that the bicycle she likes is available for ₹1800. Juhi has ₹ 600 with her. So, she tells the shopkeeper that she would not be able to buy it. The shopkeeper, after a bit of calculation, makes the following offer. He tells Juhi that she could take the bicycle by making a payment of ₹600 cash down and the remaining money could be made in two monthly instalments of ₹610 each. Juhi has two options one is to go for instalment scheme or to make cash payment by taking loan from a bank which is available at the rale of 10% per annum simple interest. Which option is more economical to her?

A circular track is made on which an thelete has to cover three rounds to complete a 1000 m run. During the run find the distance and magnitude of displacement of the athlete.

A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman’s time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftman’s time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman’s time. What number of rackets and bats must be made if the factory is to work at full capacity?

An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (see Fig. 13.23). The diameters of die two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, Find the volume of water the bucket can hold. (Take pi=22/7 ).