Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8^th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is same as the length of the track)

Pipe A and pipe B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill it, then the time in which A and B will fill that cistern separately will be, respectively, __________ .

If (a³ + b³ + c³ - 3abc) = 405, and (a - b)² + (b - c)² + (c -a)² = 54, find the value of (a + b + c).

What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm? (Take π = $\frac{22}{7}$)