Mensa Quiz No. 1

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Carl
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Mensa Quiz No. 1

#1

Post: # 20862Post Carl »

Largely an arithmetic quiz based on the Mensa Admission Test.
  • 1. Bill climbs a two-mile hill at an uphill speed of two miles per hour, spends no time at the top, and immediately walks down at six miles per hour. What is his average speed for the up and down trips ?
  • 2. What is the number that is two more than one-tenth of one-fifth of one-tenth of 1,000 ?
  • 3. Can you think of an American tree whose name contains all five vowels ?
  • 4. Pat likes books but not magazines, she likes going to shows but not the ballet, and she likes movies but not pictures. By the same rules, will she like videos or tapes ?
  • 5. Six smart people can read 12 books in six hours. How many books can three of these smart people read in nine hours ?
  • 6. Begin with the number of legs on a spider, add the number of stars in the U.S. flag in 1935, divide by two and add the number of leaves that enables you to distinguish poison ivy. What do you have ?
  • 7. If seven chocolate bars and one bag of jelly beans cost €0.36 and 10 bags of jelly beans and one chocolate bar cost €0.15, how much is a chocolate bar ?
  • 8. Of the words listed below, one is the "odd man out". This difference has nothing to do with letters, vowels, consonants or syllables. Can you find the word ?

    Grate, Mitts, Blame
  • 9. In a county fair pie-eating contest, Joe ate three pies in 20 minutes. At the same speed, how long did it take to win the contest by eating twenty-one pies ?
  • 10. What is the 11-letter word that all smart people spell incorrectly ?

Answers will be provided next Thursday evening after 21:00.

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elcarretero
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Re: Mensa Quiz No. 1

#2

Post: # 20875Post elcarretero »

1 = 3 miles per hour (2 miles @6 mph takes 20 mins, 2 miles @ 2 mph takes 60 mins therefore 4 miles in 80 mins)
2 = 4 ( 10th 1000 is 100, a fifth of 100 is 20, a tenth of 20 is 2 therefor 2+2 =4)
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stowie39
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Re: Mensa Quiz No. 1

#3

Post: # 20971Post stowie39 »

7. Chocolate = 5p, jelly beans = 1p
where x= choc, and y = jb
7x+y =36
x+10y=15

therefore
y=36-7x
Substituting in equation 1
x+10(36-7X)=15
x+360-70x=15
-69x=15-360
-69x=-345
x=5

Substituting x in equation 2
y=1
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stowie39
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Re: Mensa Quiz No. 1

#4

Post: # 20972Post stowie39 »

10. Incorrectly
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elcarretero
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Re: Mensa Quiz No. 1

#5

Post: # 20973Post elcarretero »

5 = 9
each person can read 2 books in 6 hours, ergo 1 book every 3 hours
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Carl
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Re: Mensa Quiz No. 1

#6

Post: # 21078Post Carl »

ANSWERS
  • 1. Bill climbs a two-mile hill at an uphill speed of two miles per hour, spends no time at the top, and immediately walks down at six miles per hour. What is his average speed for the up and down trips ? Three miles per hour (one hour up, 20 minutes down = 80 minutes for four miles; 20 minutes per mile, three miles per hour)
  • 2. What is the number that is two more than one-tenth of one-fifth of one-tenth of 1,000 ? Four (1000 divided by 10 = 100 divided by 5 = 20 divided by 10 = 2 + 2 = 4)
  • 3. Can you think of an American tree whose name contains all five vowels ? Sequoia
  • 4. Pat likes books but not magazines, she likes going to shows but not the ballet, and she likes movies but not pictures. By the same rules, will she like videos or tapes ? Videos. She likes words with "O"
  • 5. Six smart people can read 12 books in six hours. How many books can three of these smart people read in nine hours ? Nine. Each one reads a book in three hours
  • 6. Begin with the number of legs on a spider, add the number of stars in the U.S. flag in 1935, divide by two and add the number of leaves that enables you to distinguish poison ivy. What do you have ? 31 (8 + 48 = 56 divided by 2 + 3 ["Leaflets 3, let it be"] = 31)
  • 7. If seven chocolate bars and one bag of jelly beans cost €0.36 and 10 bags of jelly beans and one chocolate bar cost €0.15, how much is a chocolate bar ? €0.05 (Jelly beans are €0.01 per bag, chocolate bars are €0.05)
  • 8. Of the words listed below, one is the "odd man out". This difference has nothing to do with letters, vowels, consonants or syllables. Can you find the word ?

    Grate Mitts Blame

    Mitts. The others can be scrambled into the names of girls. Greta, and Mabel or Melba
  • 9. In a county fair pie-eating contest, Joe ate three pies in 20 minutes. At the same speed, how long did it take to win the contest by eating twenty-one pies ? 2 hours and 20 minutes (seven times as long), 140 minutes
  • 10. What is the 11-letter word that all smart people spell incorrectly ? Incorrectly

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