Puzzle 5
Entry Exam Section A - Logic Puzzles
Here is a snippet of section A of the curious multiple-choice entrance exam into the exclusive BrainBashers puzzle club.
Q1. The first question with B as the correct answer is:
A. Q1
B. Q4
C. Q3
D. Q2
Q2. The answer to Q4 is:
A. D
B. A
C. B
D. C
Q3. The answer to Q1 is:
A. D
B. C
C. B
D. A
Q4. The number of questions that have D as the correct answer is:
A. 3
B. 2
C. 1
D. 0
Q5. The number of questions that have B as the correct answer is:
A. 0
B. 2
C. 3
D. 1
Puzzle Copyright © Kevin Stone
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Hint
Can Q1 have A as its answer?
Answer
Q1. C – the first question with B as the correct answer is Q3.
Q2. D – the answer to Question 4 is C.
Q3. B – the answer to Question 1 is C.
Q4. C – the number of questions that have D as the correct answer is one.
Q5. B – the number of questions that have B as the correct answer is two.
Reasoning
A complicated, and sometimes, confusing answer!
Can Q1 be A? No, because this would tell us that Q1 was the first question with B as the answer, which would be a contradiction (as we've just assumed Q1 was A).
Can Q1 be B? No, because this would tell us that Q4 was the first question with B as the answer, which would be a contradiction (as we've just assumed it was Q1).
Can Q1 be C? Possibly, because Q3 points back to Q1 correctly, and is logically consistent.
Can Q1 be D? No, because:
Q2 would be B
Q4 would be A – which means that we have three questions with D
which means that Q3 would have to be D, and this would tell us that Q1 is A, which would be a contradiction (as we've just assumed that Q1 is D).
Therefore, Q1 is C, which means that Q3 is B.
We can ignore Q2 for a moment, as it asks us about Q4, and look at Q4 first.
Looking at Q4 (how many questions have D as the answer) it can't be D (zero), as this would contradict itself.
It can't be A (three) as we only have two other questions without an answer.
If Q4 was B, then the remaining questions (Q2 and Q5) would both have to be D, and:
Q5 being D would mean that only one question was B, which would be a contradiction (as Q3 is already B, and we've just assumed that Q4 is also B).
So Q4 must be C, which means that Q2 is D.
Looking at Q5, it can't be A (as Q3 is B), it can't be D (as Q4 tells us that we only have one question with D as the answer – Q2). It can't be C as we don't have three questions that are B. So Q5 is B (the two questions are Q3 and Q5).
Puzzle 6
What gets wetter...
...the more it dries?
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Puzzle 7
Hidden in the grid below are eight, 7-letter words. Each word begins with the central P and you can move one letter in any direction (including diagonally) to the next letter. All of the letters are used exactly once each. What are the words?
Puzzle Copyright © Kevin Stone
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Hint
Each of the letters surrounding the central P becomes the second letter of a word.
Answer
Pancake, physics, pinball, plaster, popular, premium, psychic, pyramid.
Puzzle 8
Bog Snorkelling - Logic Puzzles
Four friends were competing in the internationally renowned BrainBashers Bog Snorkelling competition.
As usual, the judges were a little careless and once again, they managed to lose the results.
Luckily, a number of spectators were able to remember the following snippets of information:
Only one person wore the same number as the position they finished.
Gary, who didn't wear green, beat Barry.
Larry beat the person who wore yellow.
The person who wore number 3, wore green.
The person who wore number 2 finished first whereas Harry came last.
The person who finished second wore green, Barry wore yellow and the person wearing red beat the person wearing blue.
Can you work out who finished where, and the number and colour they wore?
Puzzle Copyright © Kevin Stone
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Answer
# Name Wore Colour
1 Gary 2 red
2 Larry 3 green
3 Barry 1 yellow
4 Harry 4 blue
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