#1 - Popular Card Interview Puzzle

A pack of cards has 40 cards. You are blindfolded. Out of 40, 25 cards are facing down while 15 are facing up. You have been asked to divide this pack of cards into two decks - so that each deck contains an equal number of face up cards. Remember, you are blindfolded.

How will you do it?

Create a new deck of the exactly same number of cards as are face up cards in the original deck.Take 15 number of cards in a new deck and change their face direction. For example- You create a new deck of 15 cards and out of 15, 5 faces up in a new deck. So remaining 10 faces up are in the old deck. But hey! while creating the new deck you reversed the face direction of new cards. So actually the 5 cards which were facing up are actually face down in the new deck while 10 faces up.

#2 - Card Riddle

I have mixed 13 decks of cards.
What is the minimum number of cards must be taken out from the above mixed cards to guarantee at least one 'four of a kind'.

Card Riddle

13 x 3 + 1 = 40

Explanation:

The number of decks is irrelevant i.e any number of decks can be mixed and still the answer would be same.
Any card drawn will be a Ace,2,3,4,5,6,7,8,9,10,Jack,Queen or King, so there are 13 possibilities each time a card is drawn.
The fastest and luckiest way would need just 4 cards of the same kind.

The slowest way is our solution as it will guarantee a four of a kind.
i.e draw 3 of each kind =>39 cards will be fetched. now next card will guarantee 4 of a kind.

#3 - Logical Playing Cards Puzzle

From a pack of 52 cards, I placed 4 cards on the table.

I will give you 4 clues about the cards:

Clue 1: Card on left cannot be greater than the card on the right.
Clue 2: Difference between the 1st card and 3rd card is 8.
Clue 3: There is no card of an ace.
Clue 4: There are no face cards (queen, king, jacks).
Clue 5: Difference between the 2nd card and 4th card is 7.

Identify four cards?

Logical Playing Cards Puzzle

2 3 10 10

The 1st card has to be 2 and the last card has been 10 as there is no other way difference can be 8.
=> 2 ? 10 ?

because of clue 4, we know the 4th card is 10
=> 2 ? 10 10

because of clue 5, we know the 1st card is 3
=> 2 3 10 10

#4 - Cards Puzzle

A man has four playing cards in random order in his hand ( 6 7 8 and 9)

He desires them placed in ascending order from his left to his right.

* To do this, he pulls the left card (from your perspective) and puts it end.
* He then takes the third card from the right (from your perspective) and puts it in end.

Can you guess the original order of the cards ?

6 8 9 7 (user perspective)
7 9 8 6 (from his perspective)

Detail:

From user perspective:
6 8 9 7 => 8 9 7 6 => 9 8 7 6

For his perspective
6 7 8 9 (ascending order as desired)

#5 - 13 Hearts Riddle

I have 13 hearts, yet never alive. Who am I?

A pack of cards.

#6 - Playing Cards Logical Riddle

Let us do a fun activity. Take three piles of cards - one with 11 cards, second with 7 cards and the third with 6 cards and place them on a table.

The challenge is to move cards in a manner that each pile has 8 cards by the time you are done.

The rules are:

1) You can add to any pile but you must add exactly the amount of cards the pile already has. Suppose that a pile has 7 cards, then you will have to move exactly 7 cards from another pile to keep above it.

2) All cards should be taken from the same pile at one time.

3) You have only 3 moves.

First pile = 11
Second pile = 7
Third pile = 6

First move:
First pile = 11 - 7 = 4
Second pile = 7 + 7 = 14
Third pile = 6
Second move:
First pile = 4
Second pile = 14 - 6 = 8
Third pile = 6 + 6 = 12

Third Move:
First pile = 4 + 4 = 8
Second pile = 8
Third pile = 12 - 4 = 8

#7 - Playing Cards Puzzle

On your travels you come to an old man on the side of the road holding three cards from a standard deck face down. Trying to make conversation you ask him what the three cards are.
He tells you, 'To the left of the queen, are one or two jacks. To the right of the jack, are one or two jacks. To the right of the club, are one or two diamonds. To the left of the diamond, are one or two diamonds.' What are the three cards?

Playing Cards Puzzle

From left to right: the jack of clubs, jack of diamonds, and queen of diamonds.

OR: jack of diamonds, jack of clubs, queen of diamonds.

#8 - Card Puzzle

In two decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

Card Puzzle

Forty.

The number of decks is irrelevant; the answer is the same if one or one-hundred decks are used.

Any card drawn will be a A,2,3,4,5,6,7,8,9,10,J,Q, or K, so there are 13 possibilities each time a card is drawn.

The fastest way to draw a four of a kind is if the first four cards all have the same 'value.' The slowest way, which provides the solution, is to first draw 13 three of a kinds, and then one more card.

Since 13 x 3 + 1 = 40, if 40 cards are drawn it is guaranteed that those forty cards contain at least one four of a kind.

#9 - Simple Card Puzzle

Two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had won three new pieces of candy.
How many individual games had they played?

Simple Card Puzzle

They ended up playing nine games

#10 - Probability Riddle

what's the probability of getting a king or a queen from a pack of 52 cards ?

Probability Riddle

2/13

There 4 kings & 4 queens, which implies there are eight cards in the pack of 52 that would satisfy the conditions.
=>8/52
=> 2/13