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Question 1:
Brock has 6 pairs of green socks and 6 pairs of blue socks in his top drawer. He's not tall enough to see inside the drawer and must reach in the drawer without looking. What is the least number of socks Brock can grab to be sure he has a matching pair?

Answer 1: 3
Even if the first two are different colors, the third one will be a match.

 

Question 2:
What is the next number in this series?

O3 T3 T5 F4 F4 S3 S5 E5 N4 ___

Answer 2: 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", and so on).

 

Question 3:
Assume there are 300 million people in the U.S. 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. If you continued this multiplication for all 300 million people in the U.S., what would the final total number be?

Answer 3: 0
At some point you'd run across someone with no fingers on his or her left hand, resulting in zero. Anything multiplied after that would result in zero as well.

 

Question 4:
Add this column of numbers, one at a time:

1000
20
1030
1000
1030
20

Answer 4: 4100
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 5:
Glory has 6 pairs of red gloves and 6 pairs of orange gloves in her top drawer. She's not tall enough to see inside the drawer and must reach in without looking. What is the least number of gloves Glory can grab to be sure she has a matching pair?

Answer 5: 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 6:

How many triangles are found in the pyramid?

Answer 6: 78

 

Question 7:
A collector showed an archaeologist five coins he had just purchased. The collector claimed:

  • Coin A was from 227 B.C. yet it had no date on it.
  • Coin B was from A.D. 870 and had that date on it.
  • Coin C was from 27 B.C. and had that date on it.
  • Coin D was from 312 B.C. yet it had no date on it.
  • Coin E was from A.D. 1010 yet it had no date on it.
    The archaeologist told him that one of the coins was a fake. Which one?

    Answer 7: C
    The term B.C. would not have been known at that time, and hence would not have been indicated in that way on the coin.

     

    Question 8:
    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 8: H e r       F a c e

     

    Question 9:
    Match up the folded snowflakes with their unfolded versions.

    A

    B

    C

    D
           
     

     

     

    1

    2

    3

    4

     

     

     

     

    5

    6

    7

    8

    Answer 9:
    A: 6
    B: 4
    C: 5
    D: 1

     

    Question 10:
    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 10: 5,050
    The series of numbers 1 to 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 11:
    What word is represented by these words?

    see are why pea tea eye sea

    Answer 11: Cryptic
    Reading the smaller words aloud spells the word 'cryptic.'

     

    Question 12:
    Only one of these sentences is true. Which one?
    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 12: 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 13:

    On what day of the week and in what month of the year will we have the ReTake Exam?

    Answer 13: The first Tuesday in July

    Question 14:
    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 14: D
    Neither statement is true. The yolk of an egg is yellow.

     

    Question 15:
    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?

    A

    B

    C

    C

    E

    F

    G

    H

    I

    J

    K

    L

    M

    N

    O

    P

    Q

    R

    S

    T

    U

    V

    W

    X

    Y

    Answer 15: 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 16:
    We removed 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 16: Antelope Elephant Armadillo

     

    Question 17:

    What letter is missing?

    Answer 17: X
    The pieces of the pie spell OXYGEN.

     

    Question 18:
    We took away every other letter, plus a space from two common words below:
    _ P _ R _ A _ H _ M _ R _ L _ A

    Answer 18: Approach Umbrella

     

    Question 19:
    Fill in the blanks below to create a common one-syllable word:

    S _ _ E E _ _ E _

    Answer 19: Screeched

     

    Question 20:
    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 20: Onyx Topaz Diamond Opal

     

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