If $$ {(2x-5y)^{3}-(2x+5y)^{3}=y{[A{x}^{2}+B{y}^{2}]}}$$, then what is the value of $$ {(2A-B)}$$?

A and B started travelling towards each other at the same time, from Place X to Y and Y to X, respectively. After crossing each other, A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the speed (in km/h) of A?

Sujatha sold 75% of her goods at a profit of 24% and the remaining at a loss of 40%. What is her gain/loss percentage on the whole transaction?

A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x?

A and B together can do a certain work in x days. Working alone, A and B can do the same work in (x+8) and (x+18) days, respectively. A and B together will complete $$ {5\over 6}$$ of the same work in;

The average of ten numbers is 72. The average of the first four numbers is 69 and that of the next three number is 74. The 8^th number is 6 more than the 9^th number and 12 more than the 10^th number. What is the average of the 8^th and 9^th numbers?

A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be 

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m²) of the path?