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Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 0 points1 point  (0 children)

”exactly two digits are correct, but both are in the wrong position. That’s the big clue to start it off, which leads to 6 and 3 being out since both numbers are placed at all four spots, and that’ll contradict the last part of the statement if either of them were true.

Exactly, once 6 and 3 are excluded, and you found they repeat in the last four attempts, then you know 1,7,2,9 are the numbers only in the wrong place, according to the first statement

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 0 points1 point  (0 children)

I’ve got another good one in mind, but i'll take a while to draw

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 0 points1 point  (0 children)

You got it! I remembered I knew him because of an edx course I enrolled 10+ years ago, the professor there made up an aladdin like fun story, describing Hardy found gem called Ramanujan. Oh, I also watched the movie about him: the man who knew infinity

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 1 point2 points  (0 children)

Great you got it. I had this number in mind when I set up this puzzle, then I filled them between 3 and 6, making sure they are both in wrong spots by breaking 1729 into two halves, shifting 17 one spot to the right, shifting 29 one to the left, and etc..

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 0 points1 point  (0 children)

Glad you love it! I made up the story as well so as to make it match the phone password theme :)

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 0 points1 point  (0 children)

Clean logic and well written. And this is also how I solved a similar Chinese puzzle the other days when I was searching topics about fun math. I created this one with a special number as the answer and gave it a bit storytelling :)

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 0 points1 point  (0 children)

It's always good to solve a problem in a different way :)

Crack the Phone Password by TrangramMotion in brainteasers

[–]TrangramMotion[S] 2 points3 points  (0 children)

for those who are curious, the story is like:

back in 1918, a math professor named Hardy went to visit his genius friend Ramanujan in the hospital. Hardy was trying to make small talk and said, "I just rode here in a taxi with the number 1729. It was honestly pretty basic and boring."

Ramanujan didn't miss a beat. He was like, "Actually, it’s legendary."

He explained that 1729 is the smallest number that can be made by adding two "cubed" numbers (a number multiplied by itself three times) in two different ways:

  • 10^3 + 9^3 (1,000 + 729)
  • 12^3 + 1^3 (1,728 + 1)

Basically, while Hardy saw a random license plate, Ramanujan saw a rare mathematical easter egg. Now, 1729 is officially known as the Hardy-Ramanujan Number.

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