Question M1:
Hugh Googol Jr. wears only green or blue socks, and he has 6 pair of each color in his top drawer. Unfortunately Hugh Jr. is not tall enough, and every morning must reach into the drawer without looking. What is the smallest number of socks Hugh Jr. can grab and be sure that he has a matching pair of green or blue socks?

Answer M1: 3.
Even if the first two are different colors, the third one will be a match.

Question M2:
What is the next number in this series?

O3 T3 T5 F4 F4 S3 S5 E5 N4 ___

Answer M2: T3.
The letter in each pair comes from the beginning letter of that word (One = "O", Two = "T", etc.). The number represents the number of letters in that word (One = "3", Two = "3", etc.).

Question M3:
Assume there are 300 million people in the US. For each person, take the number of fingers (including thumbs) each has on his or her left hand, and multiply it by the number of fingers on the next person's left hand. Famous television/internet personality Hugh Googol has 5 fingers on his left hand. Hugh's Uncle Floogle has 3 fingers (he had an accident). President Bush has 5 left-hand fingers. So far, you have 5 (Hugh) x 3 (Floogle) x 5 (George Bush) for a total of 75. If you continued this multiplication for all 300 million people in the US, what would the final total number be?

Answer M3: 0.
At some point you'd run across someone with no fingers on their left hand, resulting in zero. Anything multiplied after that would result in zero as well.

Question M4:
Add this column of numbers, one at a time:

1000 20 1030 1000 1030 20

Answer M4: 4080
Did you guess 5000? If you did, you're wrong. The correct answer is 4100. The brain has a tendency to go from 4080 to 5,000 (when it should be 4100) on the last line.

Question M5:
Sue Googol wears only red or orange gloves, and she has 6 pair of each color in her top drawer. Unfortunately Sue is not tall enough, and every morning must reach into the drawer without looking. What is the smallest number of gloves Sue can grab and be sure that she has a matching pair of either both red or both orange gloves?

Answer M5: 13.
Gloves have a left hand and a right hand. So she might pick all right-hand gloves the first 12 times, but on the 13th try, she'd have to match one.

Question S1:

How many triangles can be found in the pyramid?

Answer S1: 78.

Question S2:
A collector showed an archaeologist four coins he had just purchased. The collector claimed:
Coin A was from 227 BC yet it had no date on it.
Coin B was from 870 AD and had that date on it.
Coin C was from 27 BC and had that date on it.
Coin D was from 312 BC yet it had no date on it.
Coin E was from 1010 AD yet it had no date on it.
The archaeologist told him that one of the coins was unquestionably fake. Which one?

Answer S2: C.
The term BC would not have been known at that time, and hence would not have been indicated in that way on the coin.

Question S3:
A scientist was well-known for having excellent vision. At a seminar she announced to the attendees "There is something in this room that you can see, and so can everyone else in the room. But I cannot see it." What was it that the scientist could not see?

Answer S3: H E R F A C E

Question S4:
Match up the folded snowflakes with their unfolded versions.

A	B	C	D
1	2	3	4
5	6	7	8

Answer S4: 6451

Question S5:
A scientist discovered a new type of insect that adds new insects to its community each day. Starting with one insect on Day One, two new insects are added on Day Two, three more are added on Day Three, and so on. Assuming all insects survive, how many will live in the community after 100 days?

Answer S5: 5,050
The series of numbers 1-100 contains 50 pairs of numbers that add to 101. For example, 1 insect is added on Day One, and 100 insects are added on Day 100. (1+100=101) 2 insects are added on Day Two and 99 insects are added on Day 99. (2+99=101) Continue through Day Three and Day 98, Day Four and Day 97, etc. Eventually you will have 50 pairs of numbers, all of which add up to 101. Thus, 50 X 101 = 5,050.

Question R1:
What word is represented by these words?

see are why pea tea eye sea

Answer R1: CRYPTIC.
Reading the smaller words aloud spells the word 'cryptic.'

Question R2:
Select only the true sentences in this list.
A) Exactly one of these 10 sentences is false.
B) Exactly two of these 10 sentences are false.
C) Exactly three of these 10 sentences are false.
D) Exactly four of these 10 sentences are false.
E) Exactly five of these 10 sentences are false.
F) Exactly six of these 10 sentences are false.
G) Exactly seven of these 10 sentences are false.
H) Exactly eight of these 10 sentences are false.
I) Exactly nine of these 10 sentences are false.
J) Exactly ten of these 10 sentences are false.

Answer R2: I
The only sentence that could possibly be true is "Exactly nine of these 10 sentences are false." If any of the sentences A through H were true, it would have to mean that at least one other sentence was also true, which in this list would be impossible. Sentence J cannot be true for the simple reason that it would then prove itself to be false. Confused yet?

Question R3:
If you fail the GGMTs, fear not. We will have a re-take on the following day:

On what day of the week and in what month of the year will we have the GGMT re-take?

Answer R3: TUESDAY JULY

Question R4:
Which of the following statements is true?
A) The yolk of an egg is white.
B) The yolk of an egg are white.
C) Both statements are true.
D) Neither statement is true.

Answer R4: D.
Neither statement is true. The yolk of an egg is yellow.

Question R5:
The letter beneath the letter between the letter just left of the letter two below "G" and the letter beneath the letter to the right of "B". What letter is being described?

Answer R5: Q.
The letter just left of the letter two below "G" is "P"
The letter beneath the letter to the right of "B" is "H".
The letter between "P" and "H" is "L"
The letter beneath "L" is "Q"

Question W1:
We took away the vowels and spaces from three related words below. Can you name them?

N T L P L P H N T R M D L L

Answer W1: ANTELOPE ELEPHANT ARMADILLO
Antelope, Elephant, Armadillo

Question W2:

What letter is missing?

Answer W2:X
The pieces of the pie spell OXYGEN.

Question W3:
We took away every other letter, plus a space from two common words below:
_ P _ R _ A _ H _ M _ R _ L _ A

Answer W3: A P P R O A C H U M B R E L L A

Question W4:
Fill in the blanks below to create a common one-syllable word:

Answer W4: S C R E E C H E D

Question W5:
We took away the vowels and spaces from four related words below. Can you name them?

N Y X T P Z D M N D P L

Answer W5: ONYX TOPAZ DIAMOND OPAL

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