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$(A)72$

$(B)18$

$(C)9$

$(D)19$

Source:My coaching DPP

The question asks you identify the pattern and find the missing character.

I have been trying to solve this problem from a long time but I have not found any pattern till now. Please help!!

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  • $\begingroup$ Hi Divya, don't forget to state in the puzzle where you got this from - otherwise your question might end up being closed due to not having the correct attribution (it's part of PSE's anti-plagiarism policy). Is it another coaching DPP like your last puzzle? If so, do state it in the text (if not, state where it is from instead...). Thanks! $\endgroup$ – Stiv Nov 12 '19 at 8:58
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    $\begingroup$ Maybe this one is another mistyped question, the answer is 16 (three numbers added minus the lower number) :P $\endgroup$ – balazs.com Nov 12 '19 at 9:04
  • $\begingroup$ This question is not wrong. Yes, 16 makes a pattern but the correct answer is one of the numbers given in options. $\endgroup$ – Divya Prakash Sinha Nov 12 '19 at 9:57
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Since:

15+3=18
7+9+2=18

and

26+18=44
25+8+11=44

Then:

16+4=20
5+9+6=20

So the number is:

16

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  • $\begingroup$ Simpler put, 2+9+7-3 = 15, 11+8+25-18 = 26 => 9+6+5-4 = 16 $\endgroup$ – Florian F Dec 14 '19 at 22:06
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    $\begingroup$ So, is it A, B, C or D? :-( $\endgroup$ – Florian F Dec 14 '19 at 22:07
  • $\begingroup$ @FlorianF Good point! $\endgroup$ – Stiv Dec 15 '19 at 7:11
  • $\begingroup$ it is A+B+C= center+D= clockwise A=2 is 9 oclock 2+9+7=18 15+3=18 $\endgroup$ – Vassilis Parassidis Dec 16 '19 at 0:31
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It's probably a typo

Given that there are only 2 examples to work with, it must be a very simple formula. Usually the formula uses each number once.

I wrote a computer search for all ways to combine the 4 numbers around the circle with operations +, -, *, / in a way that it produces the value in the circle for the left and right case. The only formulas that came out are: (N + E + W - S) and (N + E + |W - S|), with many variations (permutations of the terms, various placement of brackets). These evaluate to respectively 16 and 6 for the middle case.

But these don't appear in the choices.

So either the formula is unusually complicated or there is a typo. I believe the second option is more likely.

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It's:

9 (C). The formula is $|top-base|+|left-right|+k$, where $k=4,3,2$.

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    $\begingroup$ If you vote to close a question, please don't also answer it. $\endgroup$ – Deusovi♦ Nov 12 '19 at 9:01

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