Puzzle 85
Alex's Dogs - Logic Puzzles
Alex is a keen dog admirer and over the years has had a number of dogs.
Alex has had an Alsatian, a Dalmatian, a Poodle, and a Great Dane, but not necessarily in that order.
Alex had Jamie first.
The Dalmatian was an adored pet before the Great Dane.
Sammy, the Alsatian, was the second dog Alex loved.
Whitney was owned before the Poodle.
Jimmy was not a Great Dane.
Can you match the dogs to their names and find the order in which Alex had them?
Puzzle Copyright © Kevin Stone
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Hint
Which dog was first, and which was second?
Answer
# Name Breed
1 Jamie Dalmatian
2 Sammy Alsatian
3 Whitney Great Dane
4 Jimmy Poodle
Reasoning
(Clue 1) Jamie was first, and (Clue 3) Sammy the Alsatian was second:
# Name Breed
1 Jamie
2 Sammy Alsatian
3
4
(Clue 4) Whitney was owned before the poodle, leaving Jimmy last:
# Name Breed
1 Jamie
2 Sammy Alsatian
3 Whitney
4 Jimmy Poodle
(Clue 2) the Dalmatian was before the Great Dane:
# Name Breed
1 Jamie Dalmatian
2 Sammy Alsatian
3 Whitney Great Dane
4 Jimmy Poodle
Puzzle 86
What number comes next in this sequence:
3 24 102 312 777 {?}
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Answer
1680.
This is n to the power of 5, starting with 2^5 = 32, with the last digit missing, 7^5 = 16807.
Puzzle 87
How many squares of any size on this chessboard do not contain a rook?
Puzzle Copyright © Kevin Stone
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Hint
How many squares of size 1 x 1 are there?
Answer
There are 116 squares without a rook.
Reasoning
There are 61 squares of size 1 x 1.
There are 37 squares of size 2 x 2.
There are 15 squares of size 3 x 3.
There are 3 squares of size 4 x 4.
Giving a total of 61 + 37 + 15 + 3 = 116 squares.
Puzzle 88
Using all of the letters A to Z, each once only, complete these common words. There are currently 2 different answers, can you find them both?
--ust
-ue-n
o-o-e
--and
-a-er
id-o-
-uc-y
e-i-t
hea--
tou--
-rie-
-ry-t
h-m-n
Puzzle Copyright © Kevin Stone
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Hint
The first word begins with the letter J.
Answers
--ust = joust (JO)
-ue-n = queen (QE)
o-o-e = ozone (ZN)
--and = brand (BR)
-a-er = water (WT)
id-o- = idiom (IM)
-uc-y = lucky (LK)
e-i-t = exist (XS)
hea-- = heavy (VY)
tou-- = tough (GH)
-rie- = fried (FD)
-ry-t = crypt (CP)
h-m-n = human (UA)
Alternative Answers
Joust, queen, ozone, brand, wafer, idiom, lucky, exist, heavy, tough, tried, crypt, human.
Can you find another?
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