#21 - Simple Rebus
Find the meaning of the rebus below ?
Swim Underwater
#22 - Hard Logic Problem
There is a town named Springville. In that town you can find extremely hilarious facts. None of the resident has 456,789 hairs. The number of residents are more than the number of hair in any one of the.
Can you find out the largest number of residents in such a scenario?
The answer is 456,789.
Let us begin with two residents. The number of hairs on their head can be zero and one. If we extrapolate the fact, we will come to know that the number of hairs with 'n' number of residents will always range from zero to (n-1).
If we go above 456,789 to 456,790 with none of the residents having 456,789 hairs, the number of hairs on them will be different and one of them must have more than 456,789 which will clearly violate the fact that the number of residents are more than hairs on an individual.
#23 - Triangle Counting Puzzle
solve the counting puzzle by finding the number of triangles in the figure below
40
16 + (8x2) + (4x2) + (1x2) + (1x2)
#24 - Lolz Funny Riddle
An eight year old kid challenged his classmates that he can make the number one disappear by adding something to it.
How can he do that?
All he need to do is add a letter G before ONE and it will be GONE.
#25 - Triangle counting Riddle
Solve the counting riddle by identify the number of triangles in the given picture.
20 Triangles
Let us assume that the smallest side of the triangle is 1cms.
Number of triangles with a side of 1 cms = 12
Number of triangles with a side of 2 cms = 6
Number of triangles with a side of 3 cms = 2
Total = 20
#27 - Winning Strategy Logic Puzzle
Alpha and Beta are playing bets. Alpha gives $10 to Beta and Beta deals four card out of a normal 52 card deck which are chose by him completely randomly. Beta keeps them facing down and take the first card and show it to Alpha. Alpha have a choice of either keeping it or to look at the second card. When the second card is shown to him, he again has the choice of keeping or looking at the third which is followed by the third card as well; only if he does not want the third card, he will have to keep the fourth card.
If the card that is being chosen by Alpha is n, Beta will give him . Then the cards will be shuffled and the game will be played again and again. Now you might think that it all depends on chance, but Alpha has come up with a strategy that will help him turn the favor in his odds.
Can you deduce the strategy of Alpha ?
To keep odds in his favor, Alpha must choose a card from the first three whenever he sees a 9 or higher card.
This is because the probability that all cards that are selected randomly by beta are below 9 is 32*231*30*29 / 52*51*50*49 = 0.133.
In such a case, you lose from $2 to $9 with equal probability = 0.133/8 = 0.0166
Let us now calculate the probability of the four cards being of value 9 or higher which will be equal to 1 – 0.133 = 0.867.
As Alpha stops at the first sight of 9 or a higher card, he can possibly win -1, 0, 1, 2, 3 with an equal probability of 0.867/5 = 0.173
This will give him an overall expected winning amount of 0.14 per game he plays.
Also note that if Alpha decides to stop at a card 10 or higher, the expected winning amount will be 0.09 per game. It can be a strategy to win more but will not stand quite effective.
With any other choice of stopping, Alpha will be having negative chances of winning.
#28 - Simple What Am I Puzzle
I have been blessed with four wings but I am unfortunate as I cant fly.
I express no emotions.
I am found on the exact spot every time you look.
I keep toiling away with a little sound.
Do you know what I am ?
I am a windmill.
