Dots and planes

Five dots are arranged in space so that no more than three at a time can have a single flat surface pass through them.


If each group of three dots has a flat surface pass through it and extend an infinite distance in every direction,



What is the maximum number of different lines at which these surfaces may intersect one another?

Odd one out

Can you find it ?



car, moon, fish , happy, belief

Nine lives of a cat

Can you make a 100 using the number of 9's you find between 1 and 100 and any mathematical function(s)

Day after tommorow

What day came before yesterday if day after tommorow is wednesday

Treasure chest

Two chest with title engraved, one with treasure. One title says "This chest has a snake", the other says "One of the two is correct"

Will you be doomed to oblivion bitten by the deadly snake or will you find the treasure?

Alice and Bob

Facts

There are 2 mysterious integers A and B and two logicians Alice and Bob. Both integers are greater than 1 and less than 101. Alice is told the product of two and Bob knows the sum. Neither is told the values.

Conversation

Bob: I cannot determine a, b
Alice: I too cannot determine a, b
Bob: I already knew that.
Alice: In that case, I now know them
Bob: In that case, I too now know a, b.


How is this possible?

btw Happy thanksgiving

Amazing arrangement

I have 8 cue sticks and while playing with billiard balls in three dimension, a strange question struck me. What's the maximum number of cue sticks you can put in an arrangement so that each of them touches every other.

As I started trying arrangements in incremental order, I amazed myself everytime, so when did I stop ?

Touchy billiard balls

A billiard ball can at most touch two other billiard balls in a single dimension. How many billiard balls a single billiard ball (no pun intended) can touch in two dimension and three dimensions ?

If you don't know what a billiard ball is, can you strike out 9 letters to reveal a short "phrase"

ANSIHNELOERTPTHTREARSES

Number doubles

Can you find a number such that if its last digit (unit's place) is moved to the first digit*, the number doubles ?

* for example , if the original number be 5678 new number will be 8567 so the new number should be equal to two times the original number.

Uncommonly common

What do the following words have in common ?

catalog, passing, canape, medallion, berate, foxnews

Lucky Number !

Mr. Tito collecting data for census asks the man who answers the door,

"How many kids do you have and their ages?"

The man, a logician thought of playing a trick, replied "I have three children. If you multiply their ages you get 36, if you add you get my house number"

Mr. Tito a bit perplexed, but then smiled and said "that's not enough".

The man said, "I wish i can tell you more but I hear my oldest kid calling."

Mr Tito then says - "Aha ! now i know."

What about you ?

Four positive numbers

Four positive integers which are different from each other total less than 18. To find out the four numbers you need to know their product and the smallest number.

But you don't know their product and you don't know the smallest number . . . or do you?

Saving Private Ryan !

"Take exactly one tablet of medicine A and one of medicine B each day, lest you will die from either disease or overdosage" were the exact words of the doctor. "These tablets must be taken together and you need all of these", the last sentence he said before parting.

"The doctor is gone but, i do have bottles for each" thought Ryan. He took one of the tablet A in his hand, while tilting the bottle of tablet B, two tablets accidentally fall out. Now there are three tablets in his hand. Because both types look identical, he cannot tell which is which.

Can you help Ryan save his dosage and his life?

Rope problem

How long is a rope that is 2 yards shorter than another rope that is three times the length of the first rope?

Heard of Mock Turtle ?

Can you replace "?" using Mock Turtle's Arithmetic^* and make the statement true ?

? 1 ? 2 ? 3 ? 4 ? 5 ? 6 ? 7 ? 8 ? 9 = 10

* The Mock Turtle went on. “We had the best of educations . . . Reeling and Writhing, of course, to begin with, and then the different branches of Arithmetic—Ambition, Distraction, Uglification, and Derision.”

Want bags full of gold coins ?

"I have got 10 Bags with 100 gold coins each. Each coin weighs 10 gms in 9 bags and each coin weighs 9 gms in one bag"

"I also have a weighing machine which gives you the exact weight "

"I will give you all the bags and all the coins on one condition", said the Jinni.

"if you can use the weighing machine, least number of times, to find out which bag has coins of 9 gms."

Can you ?

Salesman and oranges

A salesman sold 1/2 of all his oranges and 1/2 an orange more to the first customer, same thing he did with 2nd & 3rd customer.

How many oranges he must have sold, if he had none left at the end ?

Make a 5 !

Can you take two 2's and make a 5 ^*

* using any mathematical operation(s)

Odd person out

I was at a party with a friend one evening where he got bored and started keeping track of the number of handshakes made by people. A person was called "odd person" if he made an odd number of handshakes, otherwise he was called "even person".

After some time my bored friend said to me, "Hey, do you know that there are an even number of odd persons?" I replied, "Big deal ! there will be always an even number of odd persons". But still he seemed confused ?

Can you explain in one line , why this is so ?

Find Phrases

"Life end lot five" & "Bust she joy" are two phrases if you replace one characters in each words.?

* There is some technical issue with blogger, so occasional hiccups. bear with me

Wine bottle puzzle !

You are a logician turned mad scientist,and decide to have a Party ONE MONTH from today. You have one thousand bottles of wine. Suddenly, you remembered about a "small" experiment you did, which POISONED one of the wine bottle. Ofcourse you don't remember which one.

The poison takes a LITTLE Less than a month to take effect.

You have a LOT of "guinea pigs" at your disposal. The puzzle is to find the SMALLEST number of rodents that must drink from the bottles to find the poisoned one?

HINT: There is one !

The Year 1961

1961 is one of those years ... which can be written upside down and it still remains the same , I call it Year which is Similar Upside Down (YSUD) just for the sake of it.

Can you tell which was the last year which was YSUD before this one and which YSUD one is the next ? Can there be any formula to find out?