Hint
How many minutes are there between 2:00 and 7:00?
Answer
65 minutes.
Reasoning
We need to break down the five hours in the following way:
3 x Answer minutes past two o'clock40 minutesAnswer minutes before seven o'clock
Why? It is now Answer minutes before seven o'clock, and then we have the 40 minutes before that, and the remaining time was 3 x Answer minutes past two o'clock.
So, five hours = 5 x 60 = 300 minutes. We already know about the 40 minutes, so we have to share the remaining 260 minutes in the ratio 3:1, which gives 195:65 minutes. Or using algebra 4 x Answer = 300 − 40, so Answer = 65 minutes.
Therefore, the five hours is made up of:
195 minutes past two o'clock40 minutes65 minutes before seven o'clock
So, it's currently 65 minutes before 7:00 = 5:55.
Double-Checking
It is now 65 minutes before seven o'clock = 5:55, so 40 minutes ago it was 5:15, which is 195 minutes after 2:00 as required (as 65 x 3 = 195).
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Puzzle 290
Moving up or right, what is the largest total you can make, using the mathematical signs along the way?
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4
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2
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2
2
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2
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2
+
−
1
+
2
−
4
2
−
1
+
1
−
+
1
−
2
+
3
3
+
3
−
4
+
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Once you have unscrambled the following countries, the first letters can be anagrammed to make a hidden country. aadnorraehiioptceeegraaaacdgmrsanorwyaaimnoreemny
Reasoning aadnorr = Andorraaehiiopt = Ethiopiaceeegr = Greeceaaaacdgmrs = Madagascaranorwy = Norwayaaimnor = Romaniaeemny = Yemen
a + e + g + m + n + r + y = Germany.
Hint
How many statements would be true if the culprit was Alex?
Answer
Emery committed the crime.
Reasoning
If we assume that Alex was the culprit, we can see that there would be 6 true statements, but we know there were exactly 5 true statements, so it can't be Alex.
We can repeat this will all five suspects and quickly see that only Emery being the culprit would result in exactly 5 statements being true.
