Puzzles Contest-23 With answers

[HELP]

1. If all the dimensions of a one litre bottle are doubled what is the volume of the new bottle?

2. When I acquired my Mercedes-Benz car in Germany, the first thing I had tQdo 'Was to get a license plate. ".The plate I got had a peculia1" number on it. It consisted of 5 different numbers and by mistake when I fixed it upside down the number could be stin read, but the value had increased by 78633. What was my actual license number?




3. 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?

4. A box contains 12 marbles of three different colours...
green, yellow and blue-4 each.
If you were to close your eges and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out?




5. Some days back, walking through the park, I saw a little girl trying to play the see-sawall by herself. It takes two to see-saw, but here was a girl who was Ingenious enough to try and see-saw on her own. I saw her tying 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 eteven as balance. I wondered what was the girl's weight. The brick, I could guess weighed equal to a three quarter brick and tnree quarter of a pound. Can you figure it out?














Answers












1. 8 Litres - We must remember that avolume has three dimensions. And when each is doubled according to the question, the new volume is 2x 2 x 2 times the original volume.

2. There are only 5 numbers that can be read upside down-O. 1. 6. 8 and 9. Now we only have to arrange these numbers so that when turned ~pside down the
result will be larger by 78633. With some experiment we will find that the number is 10968 which is 89601. inverted.

3. 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 20'1.) profit on the other machine he must have bo'ught it for Rs. 500. Therefore,his total loss is of Rs.50.

4. In the first three pickings you may get 1 of each colour.on the 4th pick there will be at least two of one colour.Therefore,the answer is 4.

5. A brick weighed. 3 lbs. Therefore, 16 bricks weighed 48 Ibs and 11 bricks 33 Ibs. Multiplying 48 by 33 and taking the square root we get 39.79. The girl's weight ' must have been about 39.79 Ibs.Edited by: HELP

[faraz]

3.He lost Rs.50 on the transaction.The machines cost him Rs.500 and Rs.750 respectively.

[faraz]

1. 8 litres i think...

[faraz]

5. The girl's weight is 33/4 pounds as the three quarter of a pound is 3/4 pound and 11 bricks on long end means 11*3/4.


Edited by: faraz

[faraz]

4.You must pick up four marbles to be sure that there are atleast two of one colour.

[nijumohan]

2. When I acquired my Mercedes-Benz car in Germany, the first thing I had tQdo 'Was to get a license plate. ".The plate I got had a peculia1" number on it. It consisted of 5 different numbers and by mistake when I fixed it upside down the number could be stin read, but the value had increased by 78633. What was my actual license number?

Ans. 10968

when inverted, it becomes 89601.
89601-10968=78633.

[keerthi]

1. If all the dimensions of a one litre bottle are doubled what is the volume of the new bottle?
Ans) volume incerase 8 times
Bcoz volume is realted to 3-dimentions .
hence it increase by 2*2*2 = 8 times

[keerthi]

4. A box contains 12 marbles of three different colours...[/b]
green, yellow and blue-4 each.[/b]
If you were to close your eges and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out?
Ans) 4 marbles
possiblity here is first 3marbles may be of diffent colors
so atleast 4 must be taken to get two same colored marblesEdited by: keerthi