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Start learning 50% faster. Sign in nowx = 7 - 4√3 x + 1/x = 7 - 4√3 + 1/(7-4√3) x + 1/x = 7 - 4√3 + 7 + 4√3 x + 1/x = 14 So x³ + 1/x³ = (14)³ - 3 × 14 = 2744 - 42 = 2702 (x + 1/x = a, x³ + 1/x³ = a³ - 3a)
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 6) hours. If the efficiency of pipe B is double of pipe A and pipe A ...
In bucket A and B, the quantity of mixture are (3z-25) litre and (5z+25) litre respectively. If (y-15) and (y+60) litres of water is mixed in bucket A a...
Tap A and Tap B fill a drum of volume 408 liters in 12 minutes. If their efficiencies are in the ratio x:y respectively and B alone takes to fill the ci...
Pipe A and B can fill the pool in 30 minutes and 20 minutes, respectively. Pipe C can empty half filled pool in 30 minutes. If all the pipes are opened ...
Pipe A and Pipe B together can fill the tank in 32 hours. The capacity of the pipe A is 25% of the capacity of the pipe B. How much time will pipe B alo...
Two pipes A and B can fill a tank in 12 hours and 15 hours, respectively. Another pipe C can empty the tank in 10 hours. If all three pipes are opened t...
Pipe M and N can fill a tank together in 25 hours while pipe N alone can fill the tank in 30 hours. Find the time taken by pipe M to fill the tank if it...
Pipe ‘X’ alone can fill a tank in 20 hours. When both pipes ‘X’ and ‘Y’ are opened together, they can fill 75% of the tank in 9 hours. How m...
If a tank can be filled by a tap in 14 hours, but due to an outlet, it actually takes 4 hours longer to fill the tank, find the duration in which the ou...
A tank has two inlet pipes, A and B, and one outlet pipe, C. Pipe A can fill the tank in 6 hours, and pipe B can fill the tank in 8 hours. Pipe C can em...
