Directions for Q.165 to Q.169: Study the following information carefully and answer the question given below.
Seven friends $T$, $U$, $V$, $W$, $X$, $Y$, and $Z$ work in seven different shops: Oswal, Max, Vmart, Reliance Fresh, Wallmart, Easyday, and Big Bazar (not necessarily in the same order). Each of them likes a different color: Black, Blue, Red, White, Orange, Green, and Yellow.

* $V$ works in Oswal and likes neither Red nor Orange.
* $X$ does not work in Vmart.
* $Z$ works in Big Bazar and likes Green.
* $W$ likes White and works in Max.
* The one who works in Easyday likes Blue.
* $X$ and $Y$ do not work in Reliance Fresh, and neither of them likes Orange.
* $U$ works in Walmart and likes Yellow.

Question: $X$ works in which of the following shops?

Let's create a matrix based on the given constraints:
1. Direct Placements:
* $Z\to$ Big Bazar, Green
* $W\to$ Max, White
* $U\to$ Walmart, Yellow
* $V\to$ Oswal, Colors: NOT Red, NOT Orange.

2. Deductions for remaining shops and colors:
* Remaining shops: Easyday, Vmart, Reliance Fresh.
* Remaining people: $T,X,Y$.
* Since $X$ and $Y$ do not work in Reliance Fresh, $T$ must work in Reliance Fresh.
* The person in Easyday likes Blue. Since $X$ does not work in Vmart, $X$ must work in Easyday and therefore likes Blue.
* This leaves $Y$ to work in Vmart.

3. Deductions for colors:
* Remaining colors to assign: Black, Red, Orange.
* $X$ and $Y$ do not like Orange, and $V$ does not like Orange $\to$ $T$ must like Orange.
* $V$ does not like Red $\to$ $V$ must like Black.
* This leaves $Y$ to like Red.

Final Arrangement Matrix:

| Person | Shop | Color |
| --- | --- | --- |
| T | Reliance Fresh | Orange |
| U | Walmart | Yellow |
| V | Oswal | Black |
| W | Max | White |
| X | Easyday | Blue |
| Y | Vmart | Red |
| Z | Big Bazar | Green |

From the table, $X$ works in Easyday.