Puzzle 5
Can you add two lines to complete this sequence of towers?
Note: this puzzle is not interactive, and cannot be clicked.
Puzzle Copyright © Lloyd King
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Hint
Look at the tops of the towers.
Answer
Add the two lines to the second tower from the left to complete the 'X' in the inverted letter sequence U, V, W, X, Y forming the towers' roofs.
Puzzle 6
A kind old person decided to give 12 sweets to each of the adults in the town, and 8 sweets to each of the children.
Of the 612 people in the town, exactly half of the adults, and exactly three quarters of the children took the sweets.
How many sweets did the kind old person have to buy?
Puzzle Copyright © Kevin Stone
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Hint
Does the number of adults and children matter?
Answer
3,672.
Reasoning
The actual number of adults and children doesn't actually matter.
If all of the people were adults, then half of them (306) would be given 12 sweets:
306 x 12 = 3672
If all of the people were children, then three quarters of them (459) would be given 8 sweets:
459 x 8 = 3672
If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):
256 x 12 + 75 x 8 = 3672
We can change the numbers of adults and children, but it doesn't change the answer.
The reason for this lies in the fact that 1 /2 adults x 12 sweets = 3 /4 children x 8 sweets (both are 6).
Puzzle 7
Add lines to this grid and create five areas that each have 4 letters, to spell five 4-letter words.
Puzzle Copyright © Elliott Line This puzzle appeared in Mensa's EnigmaSig (195.13) and is used with permission.
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Hint
One of the words is PALM.
Answer
Trip, Trio, Open, Pale, and Palm.
Puzzle 8
What occurs twice in a lifetime, but once in every year.
Twice in a week but never in a day?
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Hint
Answer the questions asked.
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