I was going through some old family photos in the attic when I stumbled upon our family tree. I studied it for a couple minutes then went back down stairs to tell my mom about the family tree. The problem is I didn't study it long enough to remember the whole thing. I only remembered a couple things about it, and recent memories. Can you help me figure out my family tree? There are two grandparents, who had two children, who both got married ...

You have a four-liter jug and a nine-liter jug. You also have a pool of water.

What is the fewest number of steps it takes to come up with exactly 6 liters of water?

(A step is defined as pouring water into a jug. For instance, filling the four-liter jug and emptying it into the nine-liter jug would be two steps.)

Doria, Libby, Robb, TJ, and Vinny searched the lost and found table. By the time they finished, two gloves (one red, one blue), a blue hat, a striped sweater, and one pair of black sneakers had all made it back to their original owners. Each of the students found one of these missing items.

1. Libby and TJ both found something with red in it.
2. TJ and Doria each found a glove.
3. Vinny was the only one to walk off with something ...

Decapitate me and all becomes equal. Then truncate me and I become second. Cut me front and back and I become two less than I started.

What am I?

Which two people in Group A should be in Group B?

Group A:
Julius Caesar
Phil Jackson
Ambrose Burnside
Jane Austen
Orville Redenbacher

Group B:
Reverend William Spooner
Francois Mansard
Pierre Magnol
Georg Ohm

Which word in group B belongs in group A?

A) 1. automatic 2. biology 3. thermal.

B) 4. international 5. transport 6. antiwar.