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Official Mensa® Challenge – September 2024

American Mensa is where brilliance belongs – it’s where friendships are forged for life, business connections and opportunities are made, and where brilliant minds find the chance to engage with others in an intellectually stimulating environment.

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Questions

1. Bill had a big night out. He won back his original stake of $200, and an additional $240 at the casino. He spent one-fourth of his money trying to continue the winning streak but failed. Then he spent 20% of his remaining money on a good dinner for himself. He then bought a bottle of champagne for $64 and a bracelet for his girlfriend for $100. The rest of the money he spent foolishly. How much did he spend foolishly?

2. A rule was followed in obtaining the following series. Find the rule and fill in the missing number.  

94     26     16     14     ?

3. The same five letters, if rearranged, will make three different words that fit correctly into the following report. 

The young boy __ __ __ __ __ when he looked at his bicycle.
The __ __ __ __ __ had cracked, and a piece had broken off and lodged itself in the spokes. Much as he hated to do it, he had to __ __ __ __ __  with his older brother for help.

4. The Inuit was gazing out to sea when he observed some narwhals (male for the story) and some walruses. He saw a total of 30 horns and tusks, and he could count one-third more narwhals than walruses. How many of each?

5. If a marigold is worth 6, a daisy is worth 4, and a chrysanthemum is worth 8, what is a rose worth?


Answers

1. $100 ($440 to start. $110 on the losing streak, leaving $330. Then $66 for dinner, and $64 for a bottle of champagne, leaving $200. Then the bracelet for $100, leaving him $100 to waste.) 

2. The answer is 10. Each successive number is obtained by adding the 2 digits of the previous number and multiplying by 2. 

3. PALED, PEDAL, PLEAD 

4. There are 12 narwhals with 1 horn each, and 9 walruses with 2 horns each, making 18 and 12, a total of 30. 

5. A rose is worth 2; 2 points for each syallable.

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