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., 9th and 26th 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.

Who travels in the month of June?

Correct Answer: The person who travels to Assam

Step-by-Step Explanation:

Let's analyze the given information step-by-step to determine the travel schedule of all six persons (R, T, P, U, S, Q) across the given dates and months.

1. Identify the available dates and months:

The dates are 9th and 26th of May (31 days), June (30 days), and July (31 days).

In chronological order, the six available slots are:

1. May 9th (Odd date, Odd month days: 31)

2. May 26th (Even date, Odd month days: 31)

3. June 9th (Odd date, Even month days: 30)

4. June 26th (Even date, Even month days: 30)

5. July 9th (Odd date, Odd month days: 31)

6. July 26th (Even date, Odd month days: 31)

2. Determine the position of the person traveling to Delhi:

- The person who travels to Delhi neither travels in a month having an even number of days (so not June) nor on an even date (so not 26th).

- Thus, Delhi must be on an odd date (9th) of a month with an odd number of days (May or July).

- The person who travels to Delhi is not the first person to travel (so not May 9th).

- Therefore, the person traveling to Delhi MUST travel on July 9th.

3. Position of P, Goa, T, and U:

- One person travels between P and the person who travels to Delhi (July 9th). This gives two possibilities for P: June 9th or July 26th.

- T travels after P.

- If P is on July 26th, T cannot travel after P because July 26th is the last slot. Hence, P MUST travel on June 9th.

- Since T travels after P (and P is June 9th), T must be on June 26th, July 9th, or July 26th.

- Two persons travel between T and U who travels to Goa.

- The person traveling to Goa (U) is not the first person to travel, so U cannot be on May 9th.

- If T is on July 9th, U (Goa) would be on May 26th.

- If T is on July 26th, U (Goa) would be on June 9th (which is already P).

- If T is on June 26th, U (Goa) would be on July 26th.

- Let's check T on July 9th: Delhi is on July 9th, so T would travel to Delhi, and U (Goa) travels on May 26th. Then T is after P (June 9th).

- Let's check two persons between T (July 9th) and U (May 26th): between May 26th (slot 2) and July 9th (slot 5), there are two slots (June 9th, June 26th). This fits perfectly!

So, we have:

- Slot 2 (May 26th): U (Goa)

- Slot 3 (June 9th): P

- Slot 5 (July 9th): T (Delhi)

4. Determine positions of Odisha and S:

- The person who travels to Odisha travels just before S.

- The remaining empty slots are May 9th (slot 1), June 26th (slot 4), and July 26th (slot 6).

- The consecutive pair (Odisha, S) can be placed in (June 9th, June 26th) or (July 9th, July 26th).

- Since P is on June 9th, P travels to Odisha, and S travels on June 26th.

- (If T on July 9th traveled to Odisha, S would be July 26th, but T travels to Delhi, so that's not possible).

- Therefore: P (June 9th) travels to Odisha, and S travels on June 26th.

5. Position of Q and R:

- The number of persons traveling between Q and S is one more than the number of persons traveling before R.

- S is at slot 4 (June 26th).

- The remaining empty slots for persons are May 9th (slot 1) and July 26th (slot 6).

- If R is at slot 1 (May 9th), the number of persons before R is 0. Then persons between Q and S must be 0 + 1 = 1. If Q is at slot 6 (July 26th), the number of persons between S (slot 4) and Q (slot 6) is exactly 1 (T at slot 5). This satisfies the condition completely!

- Thus, R travels on May 9th and Q travels on July 26th.

6. Determine remaining states (Kerala, Assam, Sikkim):

- Two persons travel between Kerala and Assam.

- The available slots for states are May 9th (slot 1), June 26th (slot 4), and July 26th (slot 6).

- Slots 1 and 6 have four persons between them (slots 2, 3, 4, 5).

- Slots 1 and 4 have two persons between them (slots 2 and 3). So the states Kerala and Assam must be at May 9th (slot 1) and June 26th (slot 4).

- U (May 26th, slot 2) does not travel just after the person who travels to Assam. If Assam were at May 9th (slot 1), U would be just after Assam, which is forbidden. Thus, Assam cannot be May 9th.

- Therefore, Kerala is on May 9th, and Assam is on June 26th.

- The remaining state, Sikkim, goes to July 26th.

Final Schedule Summary:

- May 9th: R (Kerala)

- May 26th: U (Goa)

- June 9th: P (Odisha)

- June 26th: S (Assam)

- July 9th: T (Delhi)

- July 26th: Q (Sikkim)

Question Answer:

The persons who travel in the month of June are P (June 9th, Odisha) and S (June 26th, Assam).

Among the given options, "The person who travels to Assam" (S) travels on June 26th, which is in the month of June.