Brain Teasers & Puzzles
-
- 1,447.6K views
- 1 answers
- 0 votes
-
- 1,450.1K views
- 1 answers
- 1 votes
-
- 1,470.4K views
- 4 answers
- -1 votes
-
Answer the clues below to find each word. Then place the letters on the lines below. Each letter must be placed on a line marked by the same number. When all the lines are full, our Happy New Year greeting will be revealed. a greeting .. bits of falling shredded paper .. to call forth .. goals made for the New Year .. you blow these at festive gatherings .. traditional New Year’s song .. View SolutionSubmit Solution- 1,444.0K views
- 1 answers
- 0 votes
-
A king has a daughter and wants to choose the man she will marry. There are three suitors from whom to choose, a Knight, a Knave, and a Commoner. The king wants to avoid choosing the Commoner as the bridegroom, but he does not know which man is which. All the king knows is that the Knight always speaks the truth, the Knave always lies, and the Commoner can do either. The king will ask each man one yes/no question, and will then choose who gets to marry the princess. What question should the king ask and how should he choose the bridegroom?
A followup question:
Suppose the three suitors know each other (an assumption that’s not needed in the original problem). Then find a new strategy for the king where the king only needs to ask a question of any two of the three suitors in order to pick the bridegroom.
View SolutionSubmit Solution- 1,449.4K views
- 1 answers
- 0 votes
-
In this problem, you and a partner are to come up with a scheme for communicating the value of a hidden card. The game is played as follows:
- Your partner is sent out of the room.
- A dealer hands you 5 cards from a standard 52 card deck.
- You look at the cards, and hand them back to the dealer, one by one, in whatever order you choose.
- The dealer takes the first card that you hand her and places it, face up, in a spot labeled “0”‘. The next three cards that you hand her, she places, similarly, in spots labeled “1”, “2”, and “3”. The last card that you hand her goes, face down, in a spot labeled “hidden”. (While you control the order of the cards, you have no control over their orientations, sitting in their spots; so you can’t use orientation to transmit information to your partner.)
- Your partner enters the room, looks at the four face-up cards and the spots in which they lie and, from that information (and your previously-agreed-upon game plan), determines the suit and value of the hidden card.
Question: What is the foolproof scheme that you and your partner settled on ahead of time?
As a follow-up question, consider the same problem but with a 124-card deck.
View SolutionSubmit Solution- 1,447.8K views
- 1 answers
- 0 votes
-
You’re an electrician working at a mountain. There are N wires running from one side of the mountain to the other. The problem is that the wires are not labeled, so you just see N wire ends on each side of the mountain. Your job is to match these ends (say, by labeling the two ends of each
wire in the same way).In order to figure out the matching, you can twist together wire ends, thus electrically connecting the wires. You can twist as many wire ends as you want, into as many clusters as you want, at the side of the mountain where you happen to be at the time. You can also untwist the wire ends at the side of the mountain where you’re at. You are equipped with an Ohm meter, which lets you test the connectivity of any pair of wires. (Actually, it’s an abstract Ohm meter, in that it only tells you whether or not two things are connected, not the exact resistance.)
You are not charged [no pun intended] for twisting, untwisting, and using the Ohm meter. You are only charged for each helicopter ride you make from one side of the mountain to the other. What is the best way to match the wires? (Oh, N>2, for there is no solution when N=2.)
View SolutionSubmit Solution- 1,446.2K views
- 1 answers
- 0 votes
-
Given N points randomly distributed around the circumference of a circle, what is the probability that all N points lie on the same semi-circle?
View SolutionSubmit Solution- 1,445.5K views
- 1 answers
- 0 votes
-
In a finite, undirected, connected graph, an integer variable v(n) is associated with each node n. One node is distinguished as the anchor. An operation OP(n) is defined on nodes:
OP(n):
if node n is the anchor, then do nothing,
else set v(n) to the value 1 + min{v(m)}, where m ranges over all neighbors of n that are distinct from n.An infinite sequence of operations <OP(n),OP(m), …> is executed, the node arguments n, m, … for the operations being chosen arbitrarily and not necessarily fairly. Show that eventually all v(n) stabilize. That is, that after some finite prefix of the infinite sequence of operations, no further operation changes v(n) for any node n.
View SolutionSubmit Solution- 1,445.4K views
- 1 answers
- 0 votes
-
A square table has a coin at each corner. Design an execution sequence, each of whose steps consists of one of the following operations:
- ONE: The operation chooses a coin (possibly a different one with each execution of the operation) and flips it.
- SIDE: The operation chooses a side of the table and flips the two coins along that side.
- DIAG: The operation chooses a diagonal of the table and flips the two coins along that diagonal.
such that at some point during the execution (not necessarily at the end), a state where all coins are turned the same way (all heads or all tails) obtains.
View SolutionSubmit Solution- 1,447.6K views
- 2 answers
- 0 votes
More puzzles to try-
Always with you riddle
What is something that you always have but always leave behind?Read More »How many buses do my company owns at present
I am the manager of a bus company. We recently expanded and as a result there was no room for ...Read More »I stop it runs riddle
I run, it runs, I stop, it runs. What it it?Read More »At the end of a cloud riddle
What is at the end of a cloud ?Read More »Boxes full of Fruits
There are three boxes containing fruits. The first box is marked peaches, the second is marked oranges, and the third ...Read More »How did the detective know it was suicide?
A man is found hanging in an ice factory. there is no sign of violence and a pool of water ...Read More »Who is Speaking The Truth
Before reading ahead, you must know the fact that only one of the people here is telling the truth. A ...Read More »Find the number of brother and sister
A family I know has several children. Each boy in this family has as many suters as brothers but each ...Read More »Six letter word riddle
It’s a six letter word. The first four letter is me. The second and last letter are the same. The ...Read More »Pictures to Identify
Identify the ten differences between the two given pictures below.Read More »Which room is safest for him?
A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »Car and Ice Cream
John bought a new car. He has a habit of eating ice cream from a particular ice cream shop while ...Read More »Can you think of a movie that this expression refers to?
You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?Read More »Can You Count
Count the Triangle in the figure given below:Read More »Queue order
Seven kids are in line for a carnival ride. Third in line is Joe, and two spots ahead of him ...Read More »My first in camel riddle
My first is in camel and in hamster. My second is in otter but not in ferret. My third is ...Read More »Smallest Integer riddle
Can you name the smallest integer that can be written with two digit ?Read More »Two men, Watson and Holmes
Two men, Watson and Holmes, are out in the extremely dry forest. They are completely surrounded by a large forest ...Read More »Visual Equation
Can you solve the below tricky visual equation?Read More »Key, Door, Lock, Room, Switch on
Key, Door, Lock, Room, Switch on Arrange the words given above in a meaningful sequence. A) 4, 2, 1, 5, ...Read More »