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Below are some puzzles you need to solve to make a 4 letter word.

1.

105 35
315 ?

2.

I am the most important element in your surrounding.
I was found by a Scottish physician.
Who am I?

3.

I am made up of 3 digits.
When you add the digits in me you will get a total of 11 and when you multiply the digits in me you get 9.
My all digits are less then 10 and last digit is divisible by 3. 
What number am I?

When you have solved the above puzzles you will get some numbers and letters. Decode them, and you will get the required word.

Hint #1

You can decode them in any order. After decoding you need to rearrange them to get the required word.

Hint #2

Out of three puzzles, one puzzle will give you 2 identical letters.

Hint #3

Visit my Stack Exchange Account.

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  • $\begingroup$ For the $3$rd one, should we add and multiply the digits of that number? $\endgroup$
    – 19aksh
    Commented Mar 30, 2020 at 13:59
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    $\begingroup$ I have corrected that now check :) $\endgroup$
    – Swati
    Commented Mar 30, 2020 at 14:04
  • $\begingroup$ There are multiple possibilities for the last one, how do we know which one it is? $\endgroup$
    – Beastly Gerbil
    Commented Mar 30, 2020 at 14:11
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    $\begingroup$ @Swati that sadly doesn't help as the definition of a digit is a number 0-9, so it's assumed they are less than 10, the three numbers it could be are (spoilers people sorry) 911, 191 or 119. How do we know which one? $\endgroup$
    – Beastly Gerbil
    Commented Mar 30, 2020 at 14:20
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    $\begingroup$ @Swati This puzzle is simply amazing. $\endgroup$
    – Shivansh Sharma
    Commented Apr 15, 2020 at 4:10

3 Answers 3

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The answer to the puzzle is:

JAVA

Puzzle 1:

This is a puzzle of the form '105:315::35:?', i.e. '105 is to 315 as 35 is to ?' In this case, we see that we get 315 by tripling 105; do the same to 35 and we get the answer 105. Note that the value of ASCII-105 is the letter 'I'.

Puzzle 2:

As noted by @ShavinshSharma, this describes Nitrogen, a gas first discovered and isolated by the Scottish physician Daniel Rutherford in 1772 (source: Wikipedia). A nitrogen molecule is written as 'N2' i.e. we need two copies of the letter 'N'.

Puzzle 3:

The result of the mathematics here is the number 119. Note that the value of ASCII-119 is the letter 'W'.

Putting it all together:

We have the four letters I, N, N and W.

If we apply rot-13 to these letters (shift them 13 places in the alphabet) we get the letters V, A, A and J.

This gives us an anagram of the word 'JAVA', which - as a check of the OP's profile page will tell you - is their 'favourite programming language', thus satisfying the title! (Note that @Rand'alThor had already made the same leap here, although I believe this answer now fully describes the logic behind the puzzle...)

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  • $\begingroup$ Yes :) finally someone fully solved this .. :D $\endgroup$
    – Swati
    Commented Apr 2, 2020 at 11:29
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  1. Traversing diagonals of the square, we can get from a 3-digit number to a 2-digit number by removing the middle digit: $315$ to $35$ and $105$ to $15$. So the answer could be $15$.

  2. As Shivansh Sharma found, the answer is Nitrogen, a chemical element with number $7$ in the periodic table.

  3. The number here must be $119$.

So we can break up the solution as

$15,7,119$ or $15,7,11,9$

which decodes as

OGKI. Does this or its anagrams mean anything?

Although I suspect there may be another level of decoding and the final answer should be

JAVA, given the title and the OP's profile page.

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  • $\begingroup$ Answer is right :D . Still decoding part is incorrect.Hint rot13(Unir n ybbx va Nfpvv gnoyr) $\endgroup$
    – Swati
    Commented Apr 2, 2020 at 9:32
  • $\begingroup$ @Swati Are the three numbers correct? Or should some of those be letters, or something else entirely? $\endgroup$
    – Rand al'Thor
    Commented Apr 2, 2020 at 9:40
  • $\begingroup$ rot13(Lbh jvyy trg 2 ahzore naq 2 yrggre(nf nyernql tvira va uvag ohg urer lbh unir gb guvax yvggyr ovg zber ) . :) Gura qrpbqr ahzore , gura svanyyl lbh jvyy or yrsg jvgu 4 yrggref qrpbqr gurz lbh jvyy trg svany nafjre) . $\endgroup$
    – Swati
    Commented Apr 2, 2020 at 10:01
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Partial Answer

1.

Could be 105 or 945

2.

The most important element in our surroundings is Nitrogen, discovered by Rutherford, a Scottish Physician.

3.

The 3 numbers are 9, 1, 1 together making 911. (9 + 1 + 1 = 11, 9 * 1 * 1 = 9)

So overall I think

We can get N from Nitrogen.
911 is one of the 8 N11 codes.
10-5(from 105) is a 10-code.
Something in that direction.

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    $\begingroup$ 119, and 191 are also possible answers for the last one however $\endgroup$
    – Beastly Gerbil
    Commented Mar 30, 2020 at 14:15
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    $\begingroup$ sorry not right answer :) but some parts are correct $\endgroup$
    – Swati
    Commented Mar 30, 2020 at 14:19
  • $\begingroup$ @BeastlyGerbil yeah but 911 seemed more plausible. $\endgroup$
    – Shivansh Sharma
    Commented Mar 30, 2020 at 14:21
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    $\begingroup$ @ShivanshSharma true, but 119 could be used to give a chemical element and then the symbol etc $\endgroup$
    – Beastly Gerbil
    Commented Mar 30, 2020 at 14:22
  • $\begingroup$ @BeastlyGerbil I like you're thinking, however the symbol of the 119'th element is Uue. Which contains 3 letters, with the N found in Nitrogen you have already 4 letters and the number 105/945 isn't used. So it might be that only the U from this is used? The symbol of the 115th element is Db, not sure if we can make a word with that.... $\endgroup$
    – tyui
    Commented Mar 31, 2020 at 7:43

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