Study the following information carefully and answer the questions given below:

Six persons i.e., R, T, P, U, S and Q travel to the different states i.e., Delhi, Sikkim, Odisha, Goa, Kerala and Assam on two different dates i.e., 9 th and 26 th of three different months viz. May, June and July of the same year but not necessarily in the same order. One person travel between P and the person who travels to Delhi. The person who travels to Delhi neither travels in month having an even number of days nor on even date. The person who travels to Delhi and the person who travels to Goa is not the first person to travel. Two Person travels between T and U who travels to Goa. T travels after P. The person who travels to Odisha travels just before S. Two persons travel between the person who travels to Kerala and the person who travels to Assam. U does not travel just after the person who travels to Assam. The number of persons travel between Q and S is one more than the number of person travel before R.

How many persons travel after the person who travel to Odisha?

Correct Answer: Three

Let's step through the logic to solve this puzzle step-by-step.

1. Identify the given dates and months:

The travel dates in chronological order are:

1. May 9^th (31 days, odd date)
2. May 26^th (31 days, even date)
3. June 9^th (30 days, odd date)
4. June 26^th (30 days, even date)
5. July 9^th (31 days, odd date)
6. July 26^th (31 days, even date)

2. Determine the position of Delhi and Goa:

• The person traveling to Delhi neither travels in a month with an even number of days (June) nor on an even date (26^th). So Delhi must be on an odd date in May or July, i.e., May 9^th or July 9^th.
• The person traveling to Delhi is not the first person to travel, so Delhi cannot be on May 9^th.
• Therefore, the person traveling to Delhi must be on July 9^th (5^th position).

3. Place P and T, U (Goa):

• "One person travels between P and the person who travels to Delhi." Since Delhi is on July 9^th (5^th slot), P can be on June 9^th (3^rd slot).
• "T travels after P." So T must be after June 9^th.
• "Two persons travel between T and U who travels to Goa."
• "The person who travels to Goa is not the first person to travel." So U (Goa) cannot be May 9^th.
• If T is on July 26^th (6^th slot), then U (Goa) is 2 persons before T, which is June 9^th (3^rd slot). But P is already on June 9^th, so this is a contradiction unless P travels to Goa or U is elsewhere.
Let's re-verify: P is on June 9^th (3^rd slot). If U (Goa) is on June 26^th (4^th slot), T would be May 9^th (1^st slot), but T travels after P, so T cannot be on May 9^th.
If T is on July 9^th (5^th slot, Delhi), then U (Goa) must be on May 26^th (2^nd slot). Then P is on June 9^th (3^rd slot), and T travels after P (July 9^th is after June 9^th). This fits all conditions!

4. Determine the sequence of persons and states:

Current layout:
• May 9^th (1^st): ?
• May 26^th (2^nd): U (Goa)
• June 9^th (3^rd): P
• June 26^th (4^th): ?
• July 9^th (5^th): T (Delhi)
• July 26^th (6^th): ?

5. Place Odisha and S:

• "The person who travels to Odisha travels just before S."
• The consecutive empty spots available for (Odisha, S) are either (May 9^th, May 26^th) or (June 26^th, July 9^th) or (July 9^th, July 26^th).
• Since U is at May 26^th, S could be U (so Odisha is May 9^th).
• Or S could be T at July 9^th (so Odisha is June 26^th).
• Let's test Odisha on June 26^th and S on July 9^th: But T is already at July 9^th, so S = T.
• Let's test Odisha on May 9^th and S on May 26^th: But U is already at May 26^th, so S = U.
• Let's test Odisha on July 9^th (T) and S on July 26^th.
If Odisha is July 9^th, but July 9^th is Delhi, which contradicts Odisha! Thus, Odisha must be June 26^th and S must be July 9^th, which means T is S (i.e. T is S, traveling to Delhi on July 9^th)! Wait, T and S are different persons (R, T, P, U, S, Q). So S cannot be T.
Therefore, Odisha must be May 9^th and S must be May 26^th (so U is S, which means U travels to Goa on May 26^th)! But U and S are distinct persons!
Wait, let's re-examine: Odisha is just before S. The slots for Odisha and S can be:
- May 9^th (Odisha) and May 26^th (S)
Wait, U is at May 26^th, so S cannot be at May 26^th unless S is a different person.
Ah, June 9^th (P) and June 26^th (S)! So P travels to Odisha on June 9^th, and S travels on June 26^th!

Let's check this layout:
• May 9^th: R / Q
• May 26^th: U (Goa)
• June 9^th: P (Odisha)
• June 26^th: S
• July 9^th: T (Delhi)
• July 26^th: Q / R

6. Verify Q, R, Kerala, and Assam:

• "The person who travels to Odisha travels just before S." -> P (Odisha) on June 9^th is just before S on June 26^th. This works perfectly!
• Person to Odisha is on June 9^th (3^rd slot).
• The number of persons who travel after the person traveling to Odisha (June 9^th) are: June 26^th, July 9^th, and July 26^th. That is a total of 3 persons (Three).