Analytical Interview Questions
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Rectangular cake 

If given a rectangular cake with a rectangular piece removed (any size or orientation), how would you cut the remainder of the cake into two equal halves with one straight cut of a knife?


Cross a bridge

There are four people who need to cross a bridge at night. The bridge is only wide enough for two people to cross at once. There is only one flashlight for the entire group. When two people cross, they must cross at the slower member's speed. All four people must cross the bridge in 17 minutes, since the bridge will collapse in exactly that amount of time. Here are the times each member takes to cross the bridge:

Person A: 1 minute

Person B: 2 minutes

Person C: 5 minutes

Person D: 10 minutes

If Person A and C crossed the bridge initially, 5 minutes would elapse, because Person C takes 5 minutes to cross. Then Person A would have to come back to the other side of the bridge, taking another minute, or six minutes total. Now, if Person A and D crossed the bridge next, it would take them 10 minutes, totaling to 16 minutes. If A came back, it would take yet another minute, totally 17. The bridge would collapse with A and B on the wrong side. How can all four people get across the bridge within 17 minutes? Note: there is no trick-answer to this problem.



One gold bar

You have someone working for you for seven days and you have one gold bar to pay them. The gold bar is segmented into seven connected pieces. You must give them a piece of gold at the end of every day. If you are only allowed to make two breaks in the gold bar, how do you pay your worker?



5 Jars of pills

You have 5 jars of pills. Each pill weighs 10 grams, except for contaminated pills contained in one jar, where each pill weighs 9 grams. Given a scale, how could you tell which jar had the contaminated pills in just one measurement?


5 houses in 5 different colors 

This puzzle was apparently written by Einstein in the last century
He said that 98% of the people in the world cannot solve the quiz. See if you can...


1: There are 5 houses in 5 different colors 
2: In each house lives a person with a different nationality. 
3: These 5 owners drink a certain beverage, smoke a certain brand of cigar and keep a certain pet. 
4: No owner has the same pet, smoke the same brand of cigar or drink the same drink.



1: The British lives in a red house. 
2: The Swede keeps dogs as pets 
3: The Dane drinks tea 
4: The green house is on the left of the white house (it also means they are next door to each other) 
5: The green house owner drinks coffee 
6: The person who smokes Pall Mall rears birds 
7: The owner of the yellow house smokes Dunhill 
8: The man living in the house right in the center drinks milk 
9: The Norwegian lives in the first house 
10: The man who smokes Blend lives next to the one who keeps cats 
11: The man who keeps horses lives next to the man who smokes Dunhill 
12: The owner who smokes Blue Master drinks beer 
13: The German smokes Prince 
14: The Norwegian lives next to the blue house 
15: The man who smokes Blend has a neighbor who drinks water.

The question is: who keeps the fish?


Three wise men in a room

There are three wise men in a room: A, B and C. You decide to give them a challenge. Suspecting that the thing they care about most is money, you give them $100 and tell them they are to divide this money observing the following rule: they are to discuss offers and counter-offers from each other and then take a vote. The majority vote wins. Sounds easy enough... now the question is, assuming each person is motivated to take the largest amount possible, what will the outcome be?



Fuse ropes

You are given two 60 minute long fuse ropes (i.e. the kind that you would find on the end of a bomb) and a lighter. The fuses do not necessarily burn at a fixed rate. For example, given an 8 foot rope, it may take 5 minutes for the first 4 feet of the fuse to burn, while the last 4 feet could take 55 minutes to burn (a much slower rate) (5+55=60 minutes). Using these two fuses and the lighter, how can you determine 45 minutes? HINT: You can use the lighter any number of times



Sheriff in a town that caught three outlaws

There was a sheriff in a town that caught three outlaws. He said he was going to give them all a chance to go free. All they had to do is figure out what color hat they were wearing. The sheriff had 5 hats, 3 black and 2 white. Each outlaw can see the color of the other outlaw’s hats, but cannot see his own. The first outlaw guessed and was wrong so he was put in jail. The second outlaw also guessed and was also put in jail. Finally the third blind outlaw guessed and he guessed correctly. How did he know?


One train leaves Los Angeles

 One train leaves Los Angeles at 15 MPH heading for New York . Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?  




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