In a tank, there are n number of filling pipes and m number of drain pipes. Each filling pipe can fill the tank in 12 hours, while each drain pipe can empty the tank in 8 hours. If all the pipes stay open when the tank is full, it will
take exactly 4 hours for the tank to get empty. Then what is the value of m, if it is known that m + n = 12?
A large cube is formed using 125 identical smaller cubes and is placed at the corner of a large room. How many such smaller cubes are required to cover the large cube completely so that figure obtained mUST be a cube?
In a zoo with 100 rabbits there are three kinnds of rabbits, weight wise - 1kg rabbits, 2kg rabbits, 5kg rabbits. There are a minimum of 10 and a maximum of 60 of each kind of rabbit. On a particular day, the zoo director transfers 40 rabbits from his stock and sends them off to the neighbouring zoo. On weighing these rabbits it was found that the total weight of these rabbits was 148kgs. It was also found that the weight of the remaining rabbits was 212kgs.
What is the minimum number of 1kg rabbits that were transferred?
What is the maximum possible number of 5kg rabbits that remain?
If a total of 26 5kg rabbits were transferred then what is the maximum possible numbers of 1kg rabbits that remain in the zoo?
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