Brainteasers – Issue 26, 2013
1. Penny Wise:
Place six pennies on a flat surface. Can you arrange the pennies in the exact positions shown, such that – IF you placed a seventh penny in the middle – it would touch all of the original six. You may not lift any of the pennies from the surface or use any other items, pennies, or measuring devices to assist, nor is it necessary to depend on your eye for judgment.
2. Cutting Corners
Can you cut the following shape into four identical pieces that will fit together to form a square?
3. Tankless Task:
A shipping company with a poorly maintained fleet of trucks was hired to convey a large number of tanks from a factory to be filled at a chemical plant across town. They loaded an equal number of the empty tanks on each of their many trucks. But as the drivers prepared for departure, it was found that 10 of the trucks would not start. So the tanks were redistributed, with one additional tank being added to each of the remaining trucks. Once the tanks were filled at the crosstown location, the drivers discovered that an additional 15 of the trucks would not start. So once again the tanks were redistributed; this time adding exactly 3 more tanks to each of the working trucks than had originally been loaded on each truck at the beginning of this shipping fiasco. By some miracle, all of these remaining trucks made it back to the factory. How many tanks were there?
4. Cable Cobble
Four professors, each with one of their students, went to purchase some flexible multi-conductor control cable. Each professor bought twice as many feet of cable as their respective student, and each person bought exactly as many feet of wire as the number of dollars he/she paid per foot of cable. Prof. Jones spent $76 more than Prof White; Nancy bought 3 feet less than Prof. Brown; Glen bought 2 feet more than Hal, who spent $48 less than Prof. Smith. What is the name of Mary’s Professor?
Did you know that AutomationDirect recently began selling flexible multi-conductor control cable? At the lowest prices in the industry! But not by the foot – we sell it on convenient 100’, 250’, and 1000’ reels.