Mathematical puzzles

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111.   Up the Stream-Down the StreamWhile up stream, a crew can row a boat in eight and four-sevenths minutes. But if there was no stream they could row it in seven minutes less than it takes them to drift down the stream.Can you say how long it would take them to row down with the stream?

 

112. Wine and Water

While I was talking to a chemist one day, he set me this interesting problem:

‘ I decided to mix some wine spirits and water. I had two bottles containing 10 ounces of each. I poured just a quarter of an ounce of spirits into the water and shook them up. You can see clearly that the mixture was forty to one. Now I thought that I should have the same quantity of fluid in both the bottles, and so I poured back a quarter of an ounce  of the mixture into the bottle containing spirits.’

Can you tell what proportion of spirits to water did the spirits of wine bottle then contain?

 

113.   The Long Tunnel

A train is one mile long. It travels at the rate of one mile a minute through a tunnel which is also one mile long.

Can you say how long it will take for the train to pass completely through the tunnel?

 

114.   The Horse, the Cow and the Sheep

A man owns a horse, a cow and a sheep. He also owns a pasture.

If the horse and cow can eat the contents of the pasture in 40 days, while the horse and sheep can do it in 60 days and the cow and the sheep in 90 days, how long all of them together will take to eat all the contents?

 

115.  The Two Mathematical Men

In Bangalore there is a well known science institute. During a visit I asked two of the men to tell me their ages. One replied, ‘One of our ages subtracted from the other’s equals 30’.

Then the other man spoke, ‘ Our ages multiplied together equal 1624’.

What were their ages?

 

116.   A Question of Mileage

If 5 tyers were used on a car which has traveled 20,000 miles, how many miles did each tyre sustain, if all the tyers were used equally in sustaining this mileage?

 

118.      The Sixteen Fours

How can you make a total of 1,000 by using sixteen 4’s?

 

119.  The Strange Two Number

There are two whole numbers, difference of their squares is a cube and the difference of their cubes is a square. These are the smallest possible numbers.

Can you find the numbers?

 

120.  How Much?

I have two 10 paise coins. If 4/5 of what I have is 8/9 of what you have, how much do you have?

 

To view answer Click Here and check answers respectively to question number.

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