A train moving at a rate of 54 km/hr, crosses a standing man 10 seconds. In how long time will it cross a 165 metres long platform ?

A and B can do a piece of work in 20 days and 12 days respectively. A started the work alone and then after 4 days B joined him till the completion of work. How long did the work last ?

The volume of the metal of cylindrical pipe is 748 cm³. The length of the pipe is 14 cm and its external radius 9 cm. Find out the thickness of pipe.

A number when divided by 361 gives remainder 47. When the same number is divided by 19, then find the remainder.

The annual income of A and B are in the ratio 4 : 3 and the ratio of their expenditures is 3 : 2. If each of them saves Rs. 12000 in the year; find out the annual income of A.

A boat takes half time in moving a certain distance down-stream than upstream. What will be ratio of the speed of the boat in still water and that of the current ?

A, B and C jointly start a business. A puts in Rs. 15000 for 8 months, B puts in Rs. 12000 for 9 months and C puts in Rs. 8000 for the whole year. In the end of the year there is a profit of Rs. 10800, what will be difference between A's share and B's share in the profit ?

A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. What will be his gain percent when sold in cash ?

The LCM of two number is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then what is the other number ?