Time for a workout P4

We have 4 blue, 4 red, 4 green and 4 yellow hats. All the hats must be labelled with an arithmetic sign – ‘+’, ‘-‘, ‘x’ or ‘/’ in a manner that one sign is used on a particular color only once. Now these hats must be arranged in a 4x4 grid in a manner that no two rows or columns have a repeating color or sign.

To give you a kick start, we have arranged 4 hats in the grid. Can you place the rest of them ?

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Answer to #3: Sherlock will ask any one of them "Are you the truth teller?" There can be two responses to this question - Yes or No.

If the person says yes, then he is the truth teller or a lying toggle.
He will ask the second question to the same person "Who is the truth teller?"
If he is the truth teller, he will admit it. If he is a lying toggler, he will speak truth on the second question if he lied on the first, telling you who the truth teller is.

If the person says no, Sherlock will be confirmed of the fact that he is not the truth teller and thus he is a toggle who has told truth and will say a lie on the second question.
The next question he will ask to the same person "Who is not the truth teller?"
Since the person told truth in the first question, he will speak a lie this time and in order to tell a lie, he will tell Sherlock exactly who the truth teller is.