Puzzles

Puzzles

1.There is a number whose double is greater then its
half by 45.Can you find this number?

Ans:

As the difference between twice the number and half of it amounts to 45. Or half of the number plus the whole of its represented by 1 adds up to 45.
1/2 + 1 = 1/2
+ 2/2 = 3/2 = 45
Now we have find what number 3/2 is equal of 45. To do this we invert 3/2 to 2/3 and multiply by 45.This gives us 2/3 * 45 = 35

2. A heavy tree trunk canbe sawed into a 12 ft long piece in one minute. How long will it take to saw it into twelve equal pieces?

Ans:
Eleven minutes. The twelfth piece does not require sawing.

3. A man I know in Bombay committed bigamy by marrying two women at brief intervals, one without the knowledge of the law and though, if exposed the axe could fall on him any day, he decided to get the best out of the situation while it lasted.He was fond of
both the women and had no special preference for either. One lived near Churchgate and the other in Bandra. He worked near a station midway between Churchgate and Bandra.After work he generally went to the station and took that train which got into the station
first- Churchgate or Bandra. He arrived at his destination at random timings.But found that he was visiting his Churchgate wife much more often than the other, despite the fact that both the Churchgate and Bandra trains were ion schedules which brought him to his station equally often. The same thing had been happening for a very long time.Can you find the reason for the frequency of his Church gate trips?

Ans:
The train schedule must have been in the following manner:
Churchgate train into the station at: 1.00 P.M
And Bandra train at: 1.01 P.M
Churchgate train into the station at: 1.10 P.M
And Bandra train at: 1.11 P.M
Churchgate train into the station at: 1.20 P.M
And Bandra train at: 1.21 P.M
And so on and so forth.This way each train would be arriving every ten minutes but his chances of getting the Churchgate train would be 9 times as great as of getting the Bandra train, because if he arrives in the station between 1.20 P.M. and 1.21 P.M. he goes on the Bandra train but if he arrives between 1.21 P.M and 1.30 P.M. he goes to Churchgate.

4. Some days back, walking through the park, I saw a little girl trying to play the see-saw, but here was a girl who was ingenious enough to try and see-saw on her own.I saw her trying a number of bricks to one end of the plank to balance her weight at the other.I curiously
noted that she just balanced against sixteen bricks. When these were fixed to the short end of the plank and I also noticed that if she were to fix them to the long end of the plank, she only needed eleven as balance I wondered what the girl’s weight was. The brick. I could guess weighted equal to a three quarter brick and three quarter of a pound.Can you figure it out?

Ans:
A brick weighted 3 lbs. therefore, 16 bricks weighted 48 lbs and 11 bricks 33 lbs.multiplying 48 by 33 and taking the square root we get 39.79. The girl’s weight must have been about 39.79 lbs.

5. A box contains 12 marbles of three different colors green, yellow and blue for each.If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there is at least two of one color among the marbles picked out?r
each. pound.them to the long end of the plank, she only
Ans:
In the first three pickings you may get 1 of each color, on the 4^th pick there
will be at least two of one color.Therefore the answer is 4.

6. A man I know runs a workshop in Calcutta. He bought two lathes to use in his workshop. However he found out afterwards that they did not serve the purpose for which he had bought them, and so he decided to sell them. He sold them each for Rs.600 making a loss
of 20% on one of them and a profit of 20% on the other.Did he lose or gain in the transaction, and how much did each machine cost him?

Ans:
He sold one for Rs.600 losing 20% on the transaction. So, he must have paid Rs.750 for that lathe and since he made 20% profit on the other machine he must have bought it for Rs.500. therefore, his total loss is of Rs.50.