Puzzle 241
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 (194.34) and is used with permission.
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Hint
One of the words is FREE.
Answer
Dare, Shin, Typo, Free, and Lawn.
Puzzle 242
Starting with any number on the top row, make your way to the bottom, adding the numbers as you go.
Each time you must move to the next row, but you can move either straight down, or one place to the left or right.
What is the highest total you can make? What is the lowest?
1
5
1
5
1
5
3
3
2
3
3
4
2
3
4
4
3
2
2
2
3
2
2
4
2
2
4
3
4
2
4
4
4
4
2
3
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The lowest route contains more 2's than the highest route.
Answers
Highest = 24. Lowest = 12.
Highest
Lowest
Puzzle 243
Four shepherds were watching over their flocks, and they were commenting on how many sheep they each had.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.
Whereas Drew has the same number as the other three shepherds put together.
If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.
If they were evenly distributed, they'd each have eleven sheep.
How many sheep does Alex have?
Puzzle Copyright © Kevin Stone
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Hint
Find how many sheep Drew has first.
Answer
3.
Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.
Whereas Drew has the same number as the other three shepherds put together.
If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.
If they were evenly distributed, they'd each have eleven sheep.
By (4):
A + B + C + D = 44
And, by (2), these are shared equally between A + B + C and D.
So D = 22, and A + B + C = 22 (* )
By (1):
A + 3 = B − 1
A + 4 = B
By (3):
C − 3 = 3A
C = 3A + 3
Substitute B and C in (* ):
A + (A + 4) + (3A + 3) = 22
5A + 7 = 22
5A = 15
A = 3
And, B = 7, C = 12.
Double-Checking
A = 3, B = 7, C = 12, D = 22.
(1) 3 + 3 = 7 − 1
(2) 3 + 7 + 12 = 22
(3) 12 − 3 = 3 x 3
(4) 3 + 7 + 12 + 22 = 44, and 44 ÷ 4 = 11 each.
Puzzle 244
What word can prefix (go before) these letters to make a valid word in each case:
..ir
..ad
..lm
..ed
..lp
Puzzle Copyright © Kevin Stone
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Hint
The missing word is two letters long.
Answer
He.
To give:
..ir = heir
..ad = head
..lm = helm
..ed = heed
..lp = help
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