Puzzles for you

[i_online]

solve this puzzle:

In a country in which people only want boys, every family continues to have children until they have a boy. If they have a girl, they have another child. If they have a boy, they stop. What is the proportion of boys to girls in the country? Assume these are infinite families in the country?

From i_online

[http://neerajsingh.bizhat]

If we consider, n as the total number of families,

Then the ration of number of boys to girls will always be 2:n, where n is the number of family and n>=1

Thanks

[dsmm]

i'm sorry but i'm not very good with math(also with English)
so is his answer were right?
it's seems to be logical .
any way this is a great puzzle, do you have one that not involved with math?

[indianbaba]

nice puzzle.
Keep sharing.

[http://neerajsingh.bizhat]

Multiply of 37 by multiplies of 3:
3 x 37 = 111
6 x 37 = 222
9 x 37 = 333
12 x 37 = 444
15 x 37 = 555
18 x 37 = 666
21 x 37 = 777
24 x 37 = 888
27 x 37 = 999


Nice one:
111.111.111 x 111.111.111 =
12.345.678.987.654.321


Trapeze:

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
another Trapeze:

1x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

and another one:

0x 9 + 8 = 8
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
987654321 x 9 - 1 = 8888888888
9876543210 x 9 - 2 = 88888888888

[indianbaba]

Nice puzzle.
Keep going neerajsingh.

[indianbaba]

Originally Posted by i_online

Two MIT math grads bump into each other at Fairway on the upper west side. they haven't seen each other in over 20 years.
The first grad says to the second: "how have you been?"
Second: "great! I got married and i have three daughters now"
First: "really? How old are they?"
Second: "well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there."
First: "right, ok.. Oh wait! Hmm, I still don't know"
Second: "oh sorry, the oldest one just started to play the piano"
First: "wonderful! My oldest is the same age!"
How old are the daughters?

[indianbaba]

Originally Posted by http://neerajsingh.bizhat

Well the ages of the daughters are 8 years, 3 years and 3 years

My approach:

1- First factor 72 in three parts.

2- Now we need to consider that one where the sum is something that is on the building.

3- As the second mathmatician got confused, that means there are two factors whose sum equal the same. They are 8*3*3 and 2*6*6. Both equal to 14.

4- Now he needed one more hint to chose one of them. So when the first mathmatician about her Eldest daughter, that means it can be only 8*3*3, because in other case, there is a draw.

Hnce the answer. Thanks for posting the puzzle dear, what a nice way to start your posting in a forum.

Wish you a very wonderful time here among us Bizhatians.

[indianbaba]

Originally Posted by i_online

There are three closed and opaque cardboard boxes. One is labeled "APPLES", another is labeled "ORANGES", and the last is labeled "APPLES AND ORANGES". You know that the labels are currently misarranged, such that no box is correctly labeled. You would like to correctly rearrange these labels. To accomplish this, you may draw only one fruit from one of the boxes. Which box do you choose, and how do you then proceed to rearrange the labels?

[indianbaba]

Originally Posted by http://neerajsingh.bizhat

1- We will choose the box named "APPLES AND ORANGES" and pick one fruit.

2.1- If the drawn fruit is Apple, then we would rearrange the labels in the following manner.

2.1.1 - Move the label "APPLES" to the "APPLES AND ORABGES".
2.1.2 - Move the label "APPLES AND ORANGES" to "ORANGES"
2.1.3 - Move the label "ORANGES" to "APPLES"

2.2- If the drawn fruit is Orange, then we would rearrange the labels in the following manner.

2.2.1 - Move the label "ORANGES" to the "APPLES AND ORABGES".
2.2.2 - Move the label "APPLES AND ORANGES" to "APPLES"
2.2.3 - Move the label "APPLES" to "ORANGES"