Each of the following questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer.

Six persons Q, R, T, W, X and Y go to the market on different consecutive days starts from Thursday. Who among the following goes just after T?

Statement I. Q goes two persons before R who doesn’t go last. The number of persons goes before T is same as after Y.

Statement II. W does not go before Y goes two persons after R. One person goes between X and W who goes after Sunday.

Statement III. T goes before the one who goes two persons after Q. Y and W goes one after another but not on Thursday.

Correct Answer: If the data in statement I and statement II are sufficient to answer the question.

Step-by-Step Explanation:

We are given six persons: Q, R, T, W, X, and Y who go to the market on six consecutive days starting from Thursday.
The days of the week are:
1. Thursday
2. Friday
3. Saturday
4. Sunday
5. Monday
6. Tuesday

Goal: Determine who goes to the market just after T.

Analyzing Statement I alone:
Statement I tells us:
- Q goes two persons before R (meaning Q is placed 2 days before R, so Q _ R).
- R doesn't go last (so R cannot be on Tuesday).
- The number of persons who go before T is the same as the number of persons who go after Y.

Since R cannot be on Tuesday, R can be on Friday, Saturday, Sunday, or Monday.
If R is on Friday → Q is on Thursday.
If R is on Saturday → Q is on Friday.
If R is on Sunday → Q is on Saturday.
If R is on Monday → Q is on Sunday.

This statement gives multiple possibilities and does not uniquely determine who goes just after T. Thus, Statement I alone is NOT sufficient.

Analyzing Statement II alone:
Statement II tells us:
- W does not go before Y (so W goes after Y).
- Y goes two persons after R (meaning R _ Y).
- One person goes between X and W (X _ W or W _ X).
- W goes after Sunday (so W can go on Monday or Tuesday).

Statement II does not give sufficient information about T or the full sequence. Thus, Statement II alone is NOT sufficient.

Combining Statement I and Statement II:
From Statement I: Q _ R and R is not on Tuesday.
From Statement II: R _ Y, which means the pattern is Q _ R _ Y.
This uses 5 days: Q, [Day 2], R, [Day 4], Y.

Let's find the exact days for Q, R, and Y:
- If Q is on Thursday → [Friday] → R is on Saturday → [Sunday] → Y is on Monday.
- If Q is on Friday → [Saturday] → R is on Sunday → [Monday] → Y is on Tuesday.

Now, let's test these two cases using the rest of the information:
1. From Statement II, W goes after Y and W goes after Sunday.
If Y is on Tuesday, W cannot go after Y since Tuesday is the last day. Thus, Y cannot be on Tuesday!
Therefore, the positions of Q, R, and Y are uniquely fixed:
- Thursday: Q
- Friday: (Blank)
- Saturday: R
- Sunday: (Blank)
- Monday: Y
- Tuesday: W (since W must go after Y)

Now, we have two remaining days (Friday and Sunday) for T and X.
From Statement I: The number of persons going before T is the same as the number of persons going after Y.
Since Y is on Monday (5th day), there is 1 person going after Y (W on Tuesday).
Therefore, exactly 1 person must go before T, which means T must be on Friday (2nd day).

The remaining person, X, must go on Sunday.
Let's check if the condition "One person goes between X and W" from Statement II holds:
- X is on Sunday, Y is on Monday, W is on Tuesday. There is indeed 1 person (Y) between X and W. Everything is consistent!

The final order of persons from Thursday to Tuesday is:
1. Thursday: Q
2. Friday: T
3. Saturday: R
4. Sunday: X
5. Monday: Y
6. Tuesday: W

From this complete schedule, we can clearly determine that R goes just after T.

Therefore, the data in statement I and statement II together are sufficient to answer the question.