Will you play first puzzle
John and Jacob are playing a game.
There are digits from 1 to 9. The catch is that each one of them has to cut one digit and add it to his respective sum. The one who is able to obtain a sum of exact 15 will win the game?
You are a friend of Jacob. Do you suggest him to play first or second?
What happens if sum exceeds 15? Is this like blackjack? and what happens if no one is able to obtain exact 15 sum?
Answer- I suggest Jacob to play second
Explanation-
Let’s suppose that jacob plays first and he picks 9. This means Jack will surely pick 8.
Now, Jacob will have to pick 7 or Karan will pick 7 in his turn. But if Jacob picks up 7, then he will score 16 that is beyond 15 and will lose.
So, It is for sure, NO one will be willing to start with the highest digits.
Suppose, Jacob plays first and picks up 1, John will pick 2. Then Jacob will pick 3 and John will pick 4. Now Jacob will be forced to pick 9. The score is 6 to 13 and thus Jacob will have no chance of winning.
If Jacob Picks 9 after John has picked up 2, then John will pick 8 and the score will become 10 to 10. Thus Jacob will pick 3 as picking 7 will send him past 15. Now John will pick 4 and Jacob has nothing to pick for winning. Thus John wins.
Therefore, I suggest Jacob to play second.
Why are you picking numbers in an order. What if someone wants to pick any number?
Answer- I suggest Jacob to play second
Explanation: The options to get 15 are at most 5 digits long (1+2+3+4+5). So for ever number John starts Jacob will be able to block him from getting to 15 (on the 4th digit pickup or the 6th digit pickup)
For example: 9 for John 6 to Jacob if 5 to John than 1 (4th dight chosen) to Jacob or (4 and 2) or (3 and 2) and if John starts with a small number then Jacob can choose a big number which will force John to block him so the real control on the game flow is Jacob
Your Answer
More puzzles to try-
What is the logic behind these ?
3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »Defective stack of coins puzzle
There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »Which clock works best?
Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »(Advanced) Cheryl’s Birthday Puzzle
Paul, Sam and Dean are assigned the task of figuring out two numbers. They get the following information: Both numbers ...Read More »Five greedy pirates and gold coin distribution Puzzle
Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »Magical flowers!!
A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »Tuesday, Thursday what are other two days staring with T?
Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »How could only 3 apples left
Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »How Many Eggs ?
A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »HARD MATHS – How much faster is one train from other Puzzle
Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination ...Read More »Most Analytical GOOGLE INTERVIEW Question Revealed
Let it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »Lateral thinking sequence Puzzle
Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »How did he know?
A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »Pizza Cost Math Brain Teaser
Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »Which letter replaces the question mark
Which letter replaces the question markRead More »Which room is safest puzzle
A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »Richie’s Number System
Richie established a very strange number system. According to her claim for different combination of 0 and 2 you will ...Read More »Srabon wanted to pass
The result of math class test came out. Fariha’s mark was an even number. Srabon got a prime!! Nabila got ...Read More »Become Normal!!
Robi is a very serious student. On the first day of this year his seriousness for study was 1 hour. ...Read More »Sakib Knows The Number!
Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »
