If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of A³ + B³ is 

Speed of a boat in still water is 6 km/hr and speed of the current is 2 km/hr. If boat takes four hours more in upstream than in the downstream to cover ‘D’ km, then find time take by boat to cover ‘D’ km in still water?

A man left 9 minutes early than the scheduled time and in order to reach the destination 378 km away in time, it has to slow its speed by 6 km/h from the usual. What is the usual speed (in km/hr.) of the man?

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

If the number of candidates qualified in 1998 was 21200, what was the number of candidates appeared in 1998?

If four coins are tossed together, what is the probability of at least getting 2 heads?

12 men complete a work in 18 days. Six days after they had started working, 4 men joined them. How many days will all of them take to complete the remaining work?

The area of two equilateral triangles are in the ratio 25 : 36 . Their altitudes will be in the ratio: 

In the given filed the area under triangular shape is