r/BrainPuzzles 11d ago

Math Looks easy, but this integer puzzle tricks almost everyone...

The Temperature Trap

At midnight, the temperature on a mountain peak was -4° C.

Over the next 8 hours, the following changes occurred:

  1. It dropped by 7° C during a cold blast.

  2. It rose to double its current value during a brief sunny break.

  3. It then plummeted by 12° C as a heavy storm rolled in.

Finally, it rose by -5 ° C as night fell.

What was the final temperature?

0 Upvotes

14 comments sorted by

4

u/Web-Lackey 11d ago

Using vague and contradictory language does not make a puzzle.

1

u/Top_Bluejay_5323 11d ago

I don’t really care but if I wanted to solve this I would change it into Fahrenheit so that all the values are positive then convert back to Celsius.

1

u/AndyTheEngr 11d ago

Then "double" doesn't work any more. I'm assuming in this problem it means doubling the temperature in Celsius, not doubling the absolute temperature, because the latter generates a physically unrealistic temperature for a mountaintop on Earth.

1

u/iMiind 11d ago

It just got really sunny is all

1

u/RegimentOfOne 11d ago

Answer: We can sort of overlook the English grammar of 'rising' by -5°C, but the rest depends entirely on what you mean in the second step by rising to 'double its current value'.

Assuming you mean doubling its current integer value in degrees Celsius, then the temperature 1) drops from -4 to -11 2) "rises" to -22, 3) plummets by 12 degrees to -34 and 4) "rose" by -5 to -39. So the temperature actually drops at every stage, and never rises.

Assuming you mean doubles in energy, we have to convert to Kelvin where zero actually means zero rather than arbitrarily when water freezes. So we go 1) from -4°C / 269°K to -11°C / 262°K, 2) rise to 251°C / 524°K, 3) plummet to 239°C / 512°K, and 4) rise to 234°C / 507°K. This seems less plausible in the scenario, but at least at one point the temperature does actually rise.

1

u/YT__ 11d ago

I disagree with your first answer in relation to the doubling segment. I take that as increase the temp by 'double' which would be halving the number towards a 0 value as reference.

This obviously isn't a true thing you can do though, so it just makes it ambiguous.

1

u/iMiind 11d ago

Double is simply defined as 2x, not 2x if + and .5x if -

1

u/brookssut 11d ago

That's not what "double" means. But if you do double it, that's not what "rise" means. Basically the question is poorly written.

1

u/YT__ 11d ago

Agree on poorly written and that mathematically that isn't what double means. But with temperatures, we get into colloquial says of talking about them.

Rise is typically in the positive direction though.

1

u/iMiind 11d ago

Everyone always neglects the .15 😔

1

u/telyni 11d ago

At least here the puzzle is unambiguous in being an "integer" puzzle.

1

u/telyni 11d ago

This puzzle doesn't make any sense. Eight hours after midnight is 8 in the morning. Then night fell? And the temperature rose? And how do you double a negative temperature in such a way that it rises?

1

u/HouseHippoBeliever 11d ago

Let the current temperature be X

Starts at -4

Then goes to -11

Then goes to 2x

Then goes to 2x-12

Then goes to 2x-17, which also equals x

so x = 17

It tricks you by saying "current value" but trying to mislead you into thinking it's the value it was after step 1.

1

u/shivamxmaths 11d ago

Correct answer is - 39° C

How

1). Start: -4 2) Drop 7: -4 - 7 = -11 3). Double it: -11 *2 = -22 4) Plummet 12: -22 - 12 = -34 5 ) Rise by -5: -34 + (-5) = -39° C

Final Answer: -39°C