Infinity Column - A Puzzle of Three Digits - Be the Kings Advisor !

The wisest men of the kingdom are called upon by the king to his court. One of them is to be chosen for the advisor rank and thus they should take part in a contest solving intelligence tests. After several days of competitions, only two winners emerged. The king called both of them to his palace and said, “Tomorrow morning I will write on a paper and hide three digits a, b, and c which you would need to identify. You will have to tell me any three numbers x, y, and z. I will calculate then the sum ax + by + cz and tell you the result. Knowing this number, whoever guesses the three digits a, b, and c which I have in hiding, will be the winner”. What is a possible strategy to win the competition and solve the king’s problem?

Infinity Column - A Dog or A Cat or A Cat and A Dog or A Dog and A Dog or A Cat and A Cat or What???

"Once upon a time when the Alice of Wonderland was a little girl she owned two pets named Tinah and Kinah" I told my son Omar Khayyam and his friend Avicenna. "What kind of pets are they?" asked my son.  "Ha ! That's a mystery, Tinah is either a cat or a dog" I answered, "But I won't tell you which, Kinah is also a cat or a dog, But again I won't tell you which."

"Are they same or different?" asked the Avicenna now. "I mean is one of them a cat and the other a dog, or are they both dogs or both cats?"

I replied "It could be that they are the same, or again it could be that they are different"

"I'll bet that they are not both cats," said Omar Khayyam.

"I'll bet Tinah is a cat," said Avicenna.

"Just a minute now," I objected "What is the basis for your guesses?"

"None!" said Omar Khayyam, "but were we right or wrong?"

I thought for a moment. "You know," I said, "It's a funny thing! It so happens that either both of you are right or both of you are wrong, but I won't tell you which !"

From this, the boys were able to deduce whether Tinah is a cat or a dog and whether Kinah is a dog or a cat.

What are they?

Infinity Column - A Helper Puzzle to The Rara Avis

This is a helper problem that might help you to solve the Poisoned Sherbet Puzzle posted a couple of days ago.

So Solve this one first and then solve that puzzle.

Suppose you have eight gold coins, One of them is slightly heavier, but the only way to tell is by putting it on a scale against the others. What’s the fewest number of times you’d have to use the scale to find the heavier coin?

Infinity Column - A Rara Avis

There again in the Wonderland of Alice's, there was a party the Mad Hatter arranged for his friends and foes alike. But despite that fact a vile foe of him poisoned a single tumbler of flavored serbet before he was caught red handed.But unfortunately in the hustle that followed, the poisoner himself forgot which tumbler he had poisoned.

When the Mad Hatter was informed of this fact and asked if the contents of all the tumblers had to be poured out in the sink, he came over and had a glance at the tumblers, then he smiled blissfully and asked to take a single tumbler out of them and  chemically test it for the poison. 

When the Mock Turtle asked if that would be enough, the Mad Hatter replied "Certainly not but that will strategically minimize our effort" .

At last the poisoned tumbler had been singled out after a few tests and the party went on forever afterward as ever repeating itself.

You have to find:

What was the exact number of tumblers? 

If  you  ask  me for a clue,  all I know,  as I  was  told by the Time himself, is  that  there were somewhere  between two hundred and three hundred tumblers of serbet to be served at the party.

Also, any group of tumblers can be tested simultaneously by taking a small aliquot of serbet from each, mixing the aliquots and making a single test of the mixture.

Infinity Column - The 10 Coins Puzzle

Well Friends ! Here is finally a puzzle hard enough to rack your brains. The puzzle has a simple solution but the road to the solution may not be an easy one. But all the best, you'll find the solution yourselves in a quick enough fashion. Best Wishes !

You are blindfolded and sitting in front of a table on which 10 coins are placed.5 of them are heads up and 5 of them are tails up. Your task is to separate these coins into two piles which contain equal number of tails. You can touch the coins but you must wear a pair of thick gloves such that you won't be able to tell them apart by touch. But you are allowed to flip the coins any number of times.

Use Your Brains, Please ! and Kindly don't openly discuss your solution in the comments section for a day or two.

Infinity Column - The Impossible Puzzle

The following seemingly impossible puzzle had haunted the brains of many puzzle solvers. But a quick little insight or that Aha! moment as Martin Gardner told us can give a key to solve the puzzle in minutes. Solve and Claim the "High IQ Genius" title from KAZ.

A car traveled from the City of Cheshire Cat to the City of Mad Hatter in the Wonderland of Alice and It took Three whole Hours for the journey. On the journey back to the City of Cheshire Cat to her great amusement Alice found it took Three and Half an Hour to reach the destination. The way was full of plains and hilly terrains. The data Alice was given is:

The speed Alice's car on uphills is 50 mph(miles per hour),downhills is 75 mph and on plains the speed is 60 mph. Help the Alice to find the distance between these two cities in Wonderland.

Or Simply :

Infinity Column - Puzzle of the Month

Solve this NASA Emoji Puzzle in the quickest unconventional way possible. The first to solve can claim a Tea and Vadaa from KAZ .Don't Google and follow unfair means. Only use your Grey Matter.

I'll also grand you the title of "Maverick Genius" in front of the Class.