MENSA Test #5

Mensa is a social organization in which people who meet certain intellectual standards (as determined by tests like this one) gather and correspond to exchange ideas and match wits.

Take the following test. Scoring is based on the number of questions you've answered correctly and the time it took you to complete the test.

If a number is required for the answer, please enter it as a numeral.

If words or letters are required, please enter in lower case.

When you have finished the test, click on the Click here to submit your answers button.

1. You have just tossed a coin that has come up heads for the tenth time in a row.

What is the probability that it will come up heads the next time, assuming the coin has not been tampered with?

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2. Which box on the bottom row best completes the following series?

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3. You are an employment manager in a land where there are only absolute liars and absolute truth tellers. An applicant comes in to see you and appears to be sincere.

He tells you that the next interviewee has told him she is a liar.

Is he (a) lying or (b) telling the truth?

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4. Which of the following scrambled words is the "odd man out" when the words are unscrambled?

(a) CGHICOA (b) TTOOORN
(c) IMMIA (d) CPOEHNANGE

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5. Five men competed in a car race.
There were no ties.
Will did not come in first.
John was neither first nor last.
Joe came in one place after Will.
James was not second.
Walt was two places behind James.
In what order did the men finish?

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Who finished first?
Who finished second?
Who finished third?
Who finished fourth?
Who finished last?

6. What is the missing number in the following sequence?

3 7 15 _____ 63 127

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7. If 40 pizza bakers can bake 20 pizzas in 2 hours, how many hours will it take 2 pizza bakers to make 10 pizzas?

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8. Ceylon is to Sri Lanka as
Constantinople is to:

(A) New Hampshire (B) Leningrad
(C) New York (D) London (E) Istanbul

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9. "Birds of a feather flock together" means approximately the same as:

(A) All songbirds stick together.
(B) Feathered birds get along well.
(C) People tend to congregate with others like themselves.
(D) If you see a lot of birds together, they will probably be the same color.
(E) Birds without feathers are not accepted by birds with feathers

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10. If Sally's daughter is my son's mother, what relationship am I to Sally if I am male?

(A) son (B) son-in-law (C) brother
(D) brother-in-law (E) father

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11. Mary won't eat fish or spinach;
Sally won't eat fish or green beans;
Steve won't eat shrimp or potatoes;
Alice won'teat beef or tomatoes;
Jim won't eat fish or tomatoes.

If you gave these fussy eaters a dinner party, which items from the following list could you serve?

green beans celery creamed codfish
lettuce roast beef roast chicken

(A) celery, lettuce, and roast chicken
(B) celery, lettuce, and creamed codfish
(C) green beans, roast beef, and creamed codfish
(D) green beans, roast chicken, and lettuce
(E) All of the above

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12. Complete this analogy:

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13. All of my grandchildren are under 17.
All of my granddaughters are beautiful.
All of my grandchildren have red hair
and blue eyes.
My oldest grandchild has long red hair.
The legal voting age is 18.

Which statement can be proved by the information given?

(A) My oldest grandchild may not yet vote.
(B) My oldest grandchild is a beautiful girl.
(C) My youngest grandchild may not yet drive legally.
(D) My youngest grandchild has short red hair.

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14. Potatoes are to peanuts
as apples are to:

(A) bananas (B) lilies (C) peaches
(D) tomatoes (E) cucumbers

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15. A snail is climbing out of a well.

The well is 20 feet deep.

Every day the snail climbs up 3 feet and every night he slips back two feet.

How many days will it take the snail to get out of the well?

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16. On your bookshelf you have 3 books in a set, Volumes I, II, and III, in the usual order from left to right.

You also have a bookworm who is eating them up.

The pages of each are two inches thick; the covers are each a half-inch thick.

If the bookworm starts at the outside of the front cover of Volume I and eats through to the last page of Volume III, how many inches has he bored through?

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17. Six thousand, six hundred, six dollars is written $6606.

Now write eleven thousand, eleven hundred, eleven in figures as fast as you can.

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18. A woman collects antique snuff boxes.

She bought two, but found herself short of money and had to sell them quickly.

She sold them for $600 each.

On one she made 20 percent, and on the other she lost 20 percent.

Did she make or lose money on the whole deal? And how much?

Enter one of the following (made or lost):

Enter the amount as a numeral: $

19. Complete this analogy:

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20. A young explorer called his expedition chief in great excitement to report that he had just found a golden coin marked 6 B.C.

The expedition chief fire him. Why?

(a) Only silver coins were minted before Christ.
(b) There is no way that a coin could be marked B.C.
(c) The expedition chief was not interested in coins.
(d) The expedition chief was not interested in gold.

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