Logic Questions & Brain Teasers Fun

J. How many hugs will there be at a family reunion of 45 people if everyone greets each other with a hug except Carl who hugs only his wife and his second cousin Carla.

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K. In a long hallway there are 100 lightbulbs in a row with draw-strings for a switch. All lights are initially off.
The first person goes through and pulls every draw-string (thus turning all the lights on). The second person goes through and pulls every second string, i.e. #2, #4, #6, etc...(thus turning some off)
The third person goes through and pulls on every third cord, and so on ...
The last, 100th person, goes through and pulls on the 100th string.

Which lightbulbs will stay on?

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L. A coin was sold for $10 plus half of its price. What was the price of the coin?

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M. Using only addition (the "+" sign) express number 28 with five 2's.

Using only addition (the "+" sign) express number 1000 with eight 8's.

Using any arithmetical symbols express number 100 with five 1's.

Using any arithmetical symbols express number 100 with five 5's. (This problem has three different solutions.)

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N. A driver looked at the odometer and noticed that it showed a symmetric number, 15951.
Wow, he thought, that doesn't happen often!

He continued on with a constant speed, and exactly in two hours glanced at the odometer again. To his amazement it showed a symmetric number again.

What was the speed of the car?

What common phrase is represented below?

Vis Hotel

Vis Hote
l

Vis Hot
El

Is Hot
El V

Shot
El Vi

Hot
El Vis

What phrase is represented below?

nipped bashful bashful

=> LABATT BLUE

22+2+2+2=28
888+88+8+8+8=1000
111-11=100
(5+5+5+5)x5=100

OK..just to clarify,is there 100 people turning the lights on and off or just 1,2,3,100. If 100 people, I'm going to have to dig into reserve brain power.

O.

1 2 3 = 1
1 2 3 4 = 1
1 2 3 4 5 = 1
1 2 3 4 5 6 = 1
1 2 3 4 5 6 7 = 1
1 2 3 4 5 6 7 8 = 1
1 2 3 4 5 6 7 8 9 = 1

Without changing the order in each row put arithmetical operetions, +, -, x, : , (and possibly parentheses) between some digits to make it a correct statement.

Each of them (except the first two) has two solutions, one with all four operations allowed, and one without a "-" sign , the difference operation.

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P. Express 37 with five 3's (two solutions)

Express 55 with five 4's

Express 20 with four 9's

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Q. What sign should be placed between 2 and 3 to get a number greater than 2 but less than 3?

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R. There are five apples in the basket. How to divide them between five kids so that each kid would get an apple, and one apple would still be in the basket?

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S. In each of the four corners of the room there's a cat, across from each cat there are three cats, on a tail of each cat there sits a cat. How many cats are in the room?

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T. Three cats kill three rats in three minutes.
How many cats would kill nine rats in nine minutes?

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U. In the room there are two fathers, two sons, one grandfather, and one grandson. How many people are in the room?

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V. On a table there are 8 straight sticks, four of them are twice as long as the other four. Place them so they would make three identical squares (without any extra sticking out pieces).