40 + 5 = 45 then 45 : 5 = 9 then 9 - 5 = 4 then 4 x 5 = 20.
Starting from the number 40, we performed the following operations: add 5, diVide by 5, subtract 5 and muLtiply by 5. At the end of the
chain, we have reached the number 20.

Always starting from 40 and performing these 4
operations, but in a different order, what is
the larGest number that can be obtained at
end of the chain?

1 month ago

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View Results
20
40
60
I don't care

40 - 5 = 35 then 35 : 5 = 7 then 7 + 5 = 12 then 12 x 5 = 60!

I got a number larger than the options :O OMG I'm stupid

Also thanks xD

1 month ago*

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7+5 = 12

1 month ago

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What a blunder I've just done! Thanks for the correction xD

1 month ago

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Deleted

This comment was deleted 1 month ago.

1 month ago

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So I was wondering why the proper order is the way it is... Shouldn't we try to to first increase the big numbr (40) as much as possible in the beginning with +5 x5 combo, and the lowering it slightly with -5 /5 ? But no.When a = 40, n = 5:

For + x- / order we have:

a+n
an + nn
an + nn - n
a + n - 1

And for -/+x order we have.

a-n
a/n -1
a/n - 1 + n
a - n + nn = a + n (n-1)

As it turns out, the "a" part will always be amplified and divided by n and brought back to original "a" value, so it doesn't really matter. Which means - the devil is in the details - in 1st order our +n x n part gets brought down by dividing by n, but in 2nd order it is never affected by division, allowing it to remain in it's biggest form possible (which means nn = n^2) and obviously n^2 will add more to the sum than any -n /n xn = -n will ever subtract (for n>1 or n<0)

So noww me have (proven) strats for expanded qquestions with 8, 12, 16, etc. operations :)

1 month ago

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Bravo! :)

1 month ago

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Has anyone told you how awesome you are today?
Because you are awesome!

1 month ago

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Congrats! Instead of cheesy "no u" you'll get very rare answer (only 1 in 1000 answers are this rare :o )
Yes, u :)

1 month ago

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Awesome :)

1 month ago

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What counts as 1 step? doing all four operations or doing only 1 of those?
If doing 1 operation is accepted than we are missing the real solution from the poll.
Can we do 0 steps?

Also thx!

1 month ago

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As from the last paragraph from the description, you need to do all four of them xD

1 month ago

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Ok, so if that's one step, can i finish doing 0 steps?
Mathematically speaking in that case i have stepped 0x(4 of those operations in sequence).

1 month ago

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No, I don't think so...
"Always starting from 40 and performing these 4 operations, but in a different order [...] end of chain"

The idea is to do something analogous to the first line of the description.

1 month ago

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look the description

1 month ago

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Two plus two is four
Minus one that's three, quick maths - Big Shaq(Man's Not Hot)

Bump and thanks

1 month ago

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I first read "end of the chain" as "end of the train." I think both would be appropriate :)
(Bump)

1 month ago

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Is it a math class ...?ðŸ‘€
Don't do this on days when my plate hurts.(Î˜`*)ã‚žâ€¦

1 month ago

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Bump!

1 month ago

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Bump

1 month ago

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Bump!

1 month ago

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Bump !

1 month ago

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60

1 month ago

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Thank you!

1 month ago

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bump

1 month ago

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Thanks for the puzzle, MaX3nC3!

View attached image.
1 month ago

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Nice puzzle
Bump!

1 month ago

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Bump!

1 month ago

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Bump for solved

1 month ago

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Bump

1 month ago

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Bump! It is good to know i still can do simple math without a calculator.

1 month ago

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Solved, Bump

1 month ago

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Nice! Solved. Bump

1 month ago

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1 month ago

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Bump!

1 month ago

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bump for solved :)

1 month ago

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Bump :)

1 month ago

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Bump

1 month ago

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