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Mario faces a door with a huge lock in front of him, requiring him to fill various alpha- bets in the different-looking lock as shown below. Just above the lock was written - ‘EACH CIRCLE IS UNIQUE’. He finds six plates buried below that door- five of them read ‘FROZEN’, ‘DENTIST’, LISTED’ , ‘TORS’and ‘FASTEN’. But the sixth one was damaged. Mario saw that joint lines as given in the figure meant trails of the words on the plates. For eg-1, the trail of‘SWORDS’ will be a set of continuous lines joining S-W-O-R-D-- S.(W may not be Immediate next to S but they have to be in the same line) Eg-2 : In the problem figure T,Z can be consequitive letters of word in plates as they are in same line, but N,Z are not in same line, so they cannot be consecutive . He has to fill all the letters correctly in order to open the lock to the castle. From the word MONSTER, how many letters are there in horizontal line containing ‘Z’ ?

Answer»

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Solution :The Key to get the letters is :Only ADJACENT letters can be connected by a line SEGMENT directly.e.g. look at T & Z in FASTEN and FROZEN there is only 1 place for E to make ZEN and TEN.Look at the neighbours of T in DEN​ T­I​ST & LI​ S­T​ED implies I & S have to be in line with T.similarly, 
F­A​STEN & ​ F­R​OZEN implies E1 & R should be in line with F. 
LIST​ E­D​implies D has to be in a line with E. 
FR​ O­Z​EN implies O has to be in line with Z.

Now, see that a,r must be only in the upper two CIRCLES. ...(sudoku logic same 2 numbers in 2boxes)similarly, i,s,o will be in middle line.implies d has to be in the lower circle &o will be in line of r (FROZEN), 
which leaves it in 2 circles on middle left.
Now, F​ A­S​TEN implies s shall be in line with a, so it can only in middle left. hence I is fixed onthe middle right.
Solving similarly will give the following ANSWER


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