Mike, Jim and Bob are all professional fisherman. Mike can catch 21 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
Answer(s): D
Mike can catch 21 fish in one hour, Jim can catch 42 fish in one hour and Bob can catch (1.5 x 42 = 63 fish) in one hour. 40 minutes is 2/3 of an hour.After 2/3 hours they all caught (21 + 42 + 63) x (2/3) = 84 fish.In the next 1/3 hour that’s left, Jim is left alone and so he can catch (1/3 x 42 = 14) fish. The total number of fish that they caught is (84 + 14 = 98).
A certain church bell rings the bell twice at half past the hour and four times at the hour plus an additional number of rings equal to what ever time it is. How many rings will the clock make from 6:20 in the morning to 10:10 in the morning?
Let’s start from the top. The first two rings will be at 6:30 from there there’ll be 2 rings ever half past the hour until ten, at 7:30, 8:30 and 9:30. That will sum up to 8 rings total.The bell will also ring at 7:00 8 rings, at 8:00 9 rings, at 9:00 10 rings and at 10 11 rings.The total number of rings is: 8 + 8 + 9 + 10 + 11 = 46 rings.
A 75-liter solution of cool-drink is made from 8% jasmine water. If 3 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine?
Answer(s): C
8% of the solution is made of jasmine, 8% of 70 is 6 liters.If 3 liters of jasmine and 12 liters of water are added, the amount of the jasmine is 9 liters and the percent of the jasmine out of the entire solution is ((9)/(75 + 15) = (9/90) = 10%.
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
Answer(s): B
(100% - 88% - 5% = 7%) of the solution is made from sugar, which is (0.07 x 340 = 23.8 liters).3.2 liters of sugar were added to the solution, so there are 27 liters of sugar in the solution. The total volume of the solution is: 340 + 3.2 + 10 + 6.8 = 360 liters.(27 / 360 = 3/40), which is 7.5% percent.
If the sum of six numbers is between 135 and 164, then the average (arithmetic mean) of the six numbers could be which of the following?
Define X as the sum of all the six numbers, 135 < X < 164.The average of the six numbers, using the average formula, is X/6.Divide both sided of the equation by 6: 135/6 < X/6 < 164/6 22.5 < X/6 < 27.33. The average has to be in that range and therefore the only answer could be C.
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