Approximation and Pipes & Cistern II Quantitative Aptitude II IPM Indore 2022 II 29 July

1329.7 – 628.3 + 297.7 + 724.6  28.9 =

15 × (?)³ + (14.96)² = (39.94)² – 399.86

There are two inlet pipes and one outlet pipe assigned to fill a tank. If inlet pipe 1 and inlet pipe 2 can fill the tank in 15 hours and 30 hours respectively and outlet pipe can empty the tank in 45 hours, then what will be time taken by all three pipes together to fill 70% of the tank?

Two pipes can fill a cistern in 14 hrs and 16 hrs respectively, the pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 minutes extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?

Three pipes i.e A, B and C are attached to a tank. Time taken by Pipe A and B together to fill the tank is same as the time taken by pipe C alone to fill the tank. If Pipe B takes 5 hours less than pipe A and 4 hours more than pipe C to fill the tank, then find the time taken by Pipe A alone to fill the tank.

Three taps A, B and C can fill a tank in 10 hours, 15 hours and 30 hours respectively. All three taps are opened in the same tank at 6 AM, 7 AM, 8 AM respectively. Find at what time tank will be filled.

Pipe A and Pipe B alone can fill a tank in 60 minutes and 90 minutes respectively. Pipe C empty the tank alone in 120 minutes. All three pipes opened together and pipe A closed after 30 minutes. Find the time taken by pipe B and pipe C together to fill the remaining tank.