Puzzle 93
Entry Exam Section D - Logic Puzzles
Here is a snippet of section D of the curious multiple-choice entrance exam into the exclusive BrainBashers puzzle club.
Q1. Which is the first question where c) is the correct answer?
a) Q3
b) Q4
c) Q1
d) Q2
Q2. Which is the first question where a) is the correct answer?
a) Q4
b) Q2
c) Q3
d) Q1
Q3. Which is the first question where d) is the correct answer?
a) Q1
b) Q2
c) Q4
d) Q3
Q4. Which is the first question where b) is the correct answer?
a) Q2
b) Q4
c) Q3
d) Q1
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zvxi
Answer
Q1. d)
Q2. c)
Q3. a)
Q4. b)
Reasoning
Let's look at Q1 first, and check each possible option:
If Q1's answer was a):
…we'll leave checking this for now, because…
If Q1's answer was b):
…we'll leave checking this for now, because…
If Q1's answer was c):
it would reference itself, and we'd learn nothing new, and we'd then have to check Q2.
So, let's start with Q2 first instead of Q1.
If Q2's answer was a):
an immediate contradiction, as Q4 can't be the first answer with a) as we've assumed Q2's answer is a).
If Q2's answer was b):
an immediate contradiction, as Q2 can't be the first answer with a) as we've assumed Q2's answer is b).
If Q2's answer was c):
Q3's answer would be a)
Q1's answer would be d)
confirming Q2's answer as c)
leaving Q4's only possible answer as b)
no contradiction.
If Q2's answer was d):
Q1's answer would be a) (*)
Q3's answer would be c)
Q4's answer would be d)
Q1's answer would be b)
but this contradicts the section marked (*).
Therefore, the only possible answer with no contradiction is when Q2's answer is c).
We can then follow Q2's answer, which leads to the answers to Q1 to Q3. Q4 must then reference itself.
Puzzle 94
Place the digits from 1 to 9 in each closed area so that the sum of the digits in each large square is the same.
1 has already been placed.
Puzzle Copyright © Cihan Altay
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zevm
Hint
Each large square adds to 11.
Answer
Puzzle 95
Below are ten words that have been split in half.
The first column has the first 2 letters, and the second column has the last 2 letters.
Can you pair the letters and remake the ten common words?
bo af
br re
fo ne
go af
ho ke
jo ew
le ud
lo am
lo nd
so pe
Puzzle Copyright © Kevin Stone
workings
hint
answers
print
Share link: https://www.brainbashers.com/puzzle/zqia
Hint
One of the words is gone.
Answers
bo + nd = bond
br + ew = brew
fo + am = foam
go + ne = gone
ho + pe = hope
jo + ke = joke
le + af = leaf
lo + af = loaf
lo + ud = loud
so + re = sore
Puzzle 96
What is the next number in this sequence:
100 365 24 60 {?}
workings
hint
answer
print
Share link: https://www.brainbashers.com/puzzle/zxrq
Hint
The answers are related to time.
Answer
60.
The numbers represent 100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour and 60 seconds in an minute.
next >
Note: BrainBashers has a Dark Mode option. For BrainBashers, I'd recommend not using your browser's built-in dark mode, or any dark mode extensions (sometimes you can add an exception for a specific website).