Three boys begin to fill a cistern. A brings a pint at the end of every three minutes, B a quart every five minutes, and C a gallon every seven minutes. If the cistern holds fifty-three gallons, in what time will it be filled, and who will pour in the last contribution?

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ESTIMATE OF AGE

163. A man late in the last century said that his age was the square root of the year in which he was born. In what year did he say this?

[Solution]

A DEAL IN CHINA

164. A dealer in Eastern curios sold a Satzuma vase for £119, and on calculation found that the number which expressed his profit per cent. expressed also the cost price in pounds of the vase. What was this number?

[Solution]

165.

What is the chance of throwing at least one ace in a single throw with a pair of dice?