=> a3 + b3 + c3 – 3abc = (a + b + c) [(a + b + c)2 – 3(ab + bc + ca)] => a3 + b3 + c3 – 3(-135) = 11 [(11)2 – 3(3)] => a3 + b3 + c3 + 405 = 1232 => a3 + b3 + c3 = 1232 – 405 => => a3 + b3 + c3 = 827
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A tiger chases a deer that initially has a 96-meter head start, running away at 4 m/s, while the tiger pursues at 7 m/s. How long does it take for the t...
A man travels a distance of 75 km in 11 hours such that he traveled partly on foot at a speed of 5 km/hr and the rest by car at a...
Buses A and B are moving around a circular ground of radius 210 m. If the speeds of the buses A and B are 16 m/sec and 20 m/sec respectively, then what ...
A motorcycle begins its journey at point X, traveling at a constant speed of 85 km/h. Meanwhile, a car starts at point X with a speed of 60 km/h and acc...
In a 2000-metre race, 'Aarav' beats 'Dev' by '400' metres and 'Ishaan' by '600' metres. If 'Dev' and 'Ishaan' participate in an 800-metre race, and 'Ish...
A man drove at a steady speed of 48 km/h for 5 hours, and then continued at a constant speed of 40 km/h for the next 4 hours. What is his average speed...
A train passes an electrical pole in 14 seconds and passes a platform 360 m long in 50 seconds. Find the length of the train.
A car can travel 320 kilometers in 8 hours. If a bike travels at a speed that is (3/16)th that of the car, how far will the bike go in 2 hours?
X men can complete the piece of work in 32 days and (X + 45) men can complete the same work in 15 days less than that of days taken by X men. Find the v...
