Find the Patterns (Feb 10, 2012)

33. What comes next in the series?


i)   M, T, W, T, F, ?
ii)  6, 24, 60, 120, 210, 336, ?
iii) O, T, T, F, F, S, S, ?
iv) 2, 7, 14, 23, 34, 45, ?
v) 17, 15, 26, 22, 35, 29
vi) A, M, J, J, A, ?
vii) 1, 3, 6, 10, 15, ?
viii) 100, 500, 1, 50, 1000, 5, ?

ix)  6, 28, 496, ?

x) 1, 153, 370, 371, ?

Answer for Question asked on Feb 4, 2012

32. A census taker approaches a house and asks the woman who answers the door "How many children do you have, and what are their ages?"

Woman: "I have three children, the product of their ages are 36, the sum of their ages are equal to the address of the house next door."

The census taker walks next door, comes back and says "I need more information."

The woman replies "I have to go, my eldest child is sleeping upstairs."

Census taker: "Thank you, I now have everything I need."

What are the ages of each of the three children?


Answer:


The ages are 2,2 and 9 .

Crazy Woman (Feb 4, 2012)

32. A census taker approaches a house and asks the woman who answers the door "How many children do you have, and what are their ages?"

Woman: "I have three children, the product of their ages are 36, the sum of their ages are equal to the address of the house next door."

The census taker walks next door, comes back and says "I need more information."

The woman replies "I have to go, my eldest child is sleeping upstairs."

Census taker: "Thank you, I now have everything I need."

What are the ages of each of the three children?

Answer for Question asked on Feb 3, 2012

31. Three light bulbs are hanging inside a room. There are three switches on the wall outside the room. Each switch is connected to a light bulb. Initially all the light bulbs and the switches are in off state. You can visit the room only once. Can you find the switche of every light bulb.


Answer :


Turn the first switch on and wait for 5 minutes. Turn the first switch off and the second one on. Now go inside the room. The light bulb which is currently glowing is the one connected to the second switch. Touch the remaining two light bulbs which are in off state. The one which is slightly hot (because it glowed for 5 minutes) is corresponding light bulb for the first switch. Now you can figure out the third. 

Three Bulbs ! (Feb 3, 2012)

31. Three light bulbs are hanging inside a room. There are three switches on the wall outside the room. Each switch is connected to a light bulb. Initially all the light bulbs and the switches are in off state. You can visit the room only once. Can you find the switche of every light bulb.

Answer for Question asked on Feb 2, 2012

30. You are one of 20 prisoners on death row with the execution date set for tomorrow. Your king is a ruthless man who likes to toy with his people's miseries. He comes to your cell today and tells you:
“I’m gonna give you prisoners a chance to go free tomorrow. You will all stand in a row (queue) before the executioner and we will put a hat on your head, either a red or a black one. Of course you will not be able to see the color of your own hat; you will only be able to see the prisoners in front of you with their hats on; you will not be allowed to look back or communicate together in any way (talking, touching.....).

The prisoner in the back will be able to see the 19 prisoners in front of him. The one in front of him will be able to see 18…

Starting with the last person in the row, the one who can see everybody in front of him, he will be asked a simple question: WHAT IS THE COLOR OF YOUR HAT?

He will be only allowed to answer “BLACK” or “RED”. If he says anything else you will ALL be executed immediately.

If he guesses the right color of the hat on his head he is set free, otherwise he is put to death. And move on to the one in front of him and ask him the same question and so on…

Finally everyone managed to escape ....HOW???

HINT : The guy got questioned first was lucky..


Answer :


First guy is a coin toss - let's wish him good luck.
His job is to establish the parity of black hats visible to him.
He says "Black" if he sees an odd number of black hats; "Red" otherwise.
By paying attention to what has been said, each prisoner will know his hat's color.

Example:
Second to speak hears "Black" and sees an even number of black hats.
He knows his hat is black [odd changed to even - must be his is black] and says "black".

Third guy has heard "black" and "black" and sees an even number of black hats.
He knows his hat is red [even stayed even - his hat can't be black] and says "red".

And so on, to the front of the line.

Hats on a death row (Feb 2, 2012)

30. You are one of 20 prisoners on death row with the execution date set for tomorrow. Your king is a ruthless man who likes to toy with his people's miseries. He comes to your cell today and tells you:
“I’m gonna give you prisoners a chance to go free tomorrow. You will all stand in a row (queue) before the executioner and we will put a hat on your head, either a red or a black one. Of course you will not be able to see the color of your own hat; you will only be able to see the prisoners in front of you with their hats on; you will not be allowed to look back or communicate together in any way (talking, touching.....).

The prisoner in the back will be able to see the 19 prisoners in front of him. The one in front of him will be able to see 18…

Starting with the last person in the row, the one who can see everybody in front of him, he will be asked a simple question: WHAT IS THE COLOR OF YOUR HAT?

He will be only allowed to answer “BLACK” or “RED”. If he says anything else you will ALL be executed immediately.

If he guesses the right color of the hat on his head he is set free, otherwise he is put to death. And move on to the one in front of him and ask him the same question and so on…

Finally everyone managed to escape ....HOW???

HINT : The guy got questioned first was lucky..