1) A bum can roll four butts into one cigarette. He starts out with sixteen cigarettes. How many cigarettes is he ultimately able to smoke?

eighteen
nineteen
twenty

twenty-one

 

2) A boat is drifting atop water that is fourteen feet deep. Attached to its side is a ladder which has two of its bottom rungs submerged under the water. Each rung is a foot apart. There are eight rungs in all. The water level goes down exactly two feet. How many rungs are now submerged?

two

four

none

 
3) A rooster lays an egg which rolls down an extended 45-degree incline. How far will the egg roll after thirty seconds?

thirty-two feet
sixteen feet
a half foot

eighteen feet

none of the above

 
4) Natives on a strange island are either Truth-sayers or Liars. You come across three of them and ask the first, "Are you a Truth-sayer or a Liar?" He mumbles something that you don't understand. The second one says (about the first one) "He says that he's a Truth-sayer." The third one says (about the second one) "He's lying." What can you conclude?

Both the second and third native are Liars.
Both the second and third native are Truth-sayers.
 The second native is telling the truth, the third is lying.

The second native is lying, the third is telling the truth.

 
5) Your nephew's niece is your father's...

granddaughter

great-granddaughter
cousin

great niece

 

Your Score:

Results:

        

Question One: twenty-one cigarettes. Smoking sixteen cigarettes leaves sixteen butts, which he rolls into four more cigarettes. Smoking those four leaves four butts, so he rolls (and smokes) another. Total: twenty-one.

Question Two: two rungs are submerged, just as before. When the water level goes down, so does the boat. Since the ladder is attached to the boat, two rungs will always stay submerged.

Question Three: none of the above. Roosters are male, so they don't lay eggs!!

Question Four: the second native is telling the truth, and the third native is lying. All Truth-sayers must answer the question, "Are you a Truth-sayer or a Liar?" by telling the truth ("I am a Truth-sayer.") By the same token, however, a Liar must always answer the same question by also stating "I am a Truth-sayer." (Same response!) Consequently, the second native was telling the truth about the first, and the third native was lying.

Question Five: great-granddaughter. Your nephew's niece is your sister's granddaughter, so she would be your father's great-granddaughter.