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’ 或者 ‘/’ 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 或者 columns have a repeating color 或者 sign.

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

~*~*~*~*~*~*~*~~*~*~*~*~*~*~*~~*~*~*~*~*~*~*~~* ~*~*~*~*~*~*~*~~*~*~*~*

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

If the person says yes, then he is the truth teller 或者 a lying toggle.
He will ask the 秒 问题 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 秒 问题 if he lied on the first, telling 你 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 秒 question.
The 下一个 问题 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.