Directions : What should come in place of the question mark (?) in the following number series? 

55 109 ? 433 865 1729 

If a + b + c = 0, then a³+b³+c³ is equal to 

If a + b + c=15, abc=120 and (ab+bc+ca)=74, then the value of a³+b³+c³=?

A train running at a speed of 108 km / h crosses a pillar in 32 seconds. The length of the train (in meters) is:

Sita and Gita enter into a partnership, Sita contributes 5000 while Gita contributes 4000. After 1 month, Gita withdraws $$ {1\over4}$$ part of her contribution and after 3 months from the starting , Sita puts 2000 more . When Gita withdraws her money, Rita also joins them with 7000. If at the end of 1 year, there is a profit of 1218, what will be the share of Rita in the profit?