Math, Science and Logic Puzzles For The 'ENGINERD' In All Of Us (Re-Printed with Permission from PZZLS - www.PZZLS.com

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MWJ June Puzzler

Voltage Voodoo

In the figure, an electrical circuit is drawn. In the middle of the circuit, an infinitely long metal bar is placed (indicated with the gray circle). In this bar, an oscillating magnetic field is induced by a coil, which is attached somewhere to the bar. Two resistors are located in the circuit with values R1 and R2. The alternating voltages, V1 and V2, are being measured with two perfect alternating voltages meters.

What is the relation between the two voltages, V1 and V2?

a) V1 : V2 = R2 : R1
b) V1 : V2 = 1 : 1
c) V1 : V2 = R1 : R2
d) V1 = V2 = 0
e) none of the above

Lockers

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?

Einstein’s riddle

There are five houses in five different colors. In each house lives a person with a different nationality. The five owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet. No owners have the same pet, smoke the same brand of cigar, or drink the same beverage. Somebody owns a fish. The question is: Who?

Hints

  • The Brit lives in the red house.
  • The Swede keeps dogs as pets.
  • The Dane drinks tea.
  • The green house is on the left and next to the white house.
  • The green homeowner drinks coffee.
  • The person who smokes Pall Mall rears birds.
  • The owner of the yellow house smokes Dunhill.
  • The man living in the center house drinks milk.
  • The Norwegian lives in the first house.
  • The man who smokes Blends lives next to the one who keeps cats.
  • The man who keeps the horse lives next to the man who smokes Dunhill.
  • The owner who smokes Bluemaster drinks beer.
  • The German smokes Prince.
  • The Norwegian lives next to the blue house.
  • The man who smokes Blends has a neighbor who drinks water.

Answers

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