Puzzles to puzzle you

Interesting Puzzles

"We cannot solve our problems with the same

 thinking we used when we created them."

                                                                                                                 - Albert Einstein

1. 

TALL MEN NEXT DOOR

Next door to me live four brothers of different heights. Their average height is 74 inches, and the difference in height among the first three men is two inches/'The difference between the third and the fourth man is six inches.

Can you tell how tall is each brother?

2. A MATTER OF TIME

Fifty minutes ago if it was four times as many minutes past three o'clock, how many minutes is it until six o'clock?

3. 

BROTHERS AND SISTERS

A family I know has several children. Each boy in this family has as many sisters as brothers but each of the girls has twice as many brothers as sisters. How many brothers and sisters are there?

4. AROUND THE EQUATOR

Two identical trains, at the equator start travelling round the world in opposite directions. They start together, run at the same speed and are on different tracks.

Which train will wear out its wheel treads first?

5. OVER THE GOLDEN GATE

While in San Francisco some time back, I hired a car to drive over the Golden Gate bridge. 1 started in the  afternoon when there was no traffic rush. So I could do 40 miles an hour. While returning, however, I got caught in the traffic rush and I could only manage to drive at a speed of 25 miles an hour.

What was my average speed for the round trip?

6. THE DIGITS AND SQUARE NUMBERS

All the nine digits are arranged here so as to form four square numbers:

9, 81, 324, 576

How would you put them together so as to form a single smallest possible square number and a single largest possible square number?

7. THE HOUR HAND AND THE MINUTE HAND

We all know that the hour hand and the minute hand on a clock travel at different speeds. However there are certain occasions when the hands are exactly opposite each other. Can you give a simple formula for calculating the times of these occasions?

8. 

THE GONG

Supposing a clock takes 7 seconds to strike 7, how long does it take for the same clock to strike 10?

9. SOMETHING FOR THE MARMALADE

A little girl I know sells oranges from door to door.

One day while on her rounds she sold i an orange more than half her oranges to the first customer. To the second customer she sold i an orange more than half of the remainder and to the third and the last customer she sold i an orange more than half she now had, leaving her none.

Can you tell the number of oranges she originally had? Oh, by the way, she never had to cut an orange.

10. I'LL GET IT FOR YOU WHOLESALE...

A wholesale merchant came to me one day and posed this problem. Every day in his business he has to weigh amounts from one pound to one hundred and twenty-one pounds, to the nearest pound. To do this, what is the minimum number of weights he needs and how heavy should each weight be?