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.
Who among the following person travel on 26th June?
Correct Answer :
S
Solution :
The correct option is S.
Let's step through the logic to arrange the six persons (R, T, P, U, S, Q) and their state destinations (Delhi, Sikkim, Odisha, Goa, Kerala, Assam) across the given dates: 9th and 26th of May, June, and July.
1. Understanding the Dates and Months:
- May has 31 days (odd number of days). Dates: May 9, May 26.
- June has 30 days (even number of days). Dates: June 9, June 26.
- July has 31 days (odd number of days). Dates: July 9, July 26.
The order of slots is:
1. 9th May
2. 26th May
3. 9th June
4. 26th June
5. 9th July
6. 26th July
2. Determining Delhi and Goa:
- The person traveling to Delhi travels in a month with an odd number of days (May or July) and on an odd date (9th).
- So, Delhi must be on either 9th May or 9th July.
- However, "The person who travels to Delhi is not the first person to travel." This rules out 9th May for Delhi.
- Therefore, the person traveling to Delhi travels on 9th July (Slot 5).
3. Placing P, T, U, and Goa:
- "One person travels between P and the person who travels to Delhi." Since Delhi is on 9th July (Slot 5), P must be on 9th June (Slot 3).
- "T travels after P." So, T can be in Slot 4, Slot 5, or Slot 6.
- "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 Slot 1).
- If T is in Slot 4 (26th June), then U would be in Slot 1 (not allowed).
- If T is in Slot 5 (9th July - Delhi), T cannot be Delhi if U is Goa, but let's check slots: 2 persons between T and U means U is in Slot 2 (26th May).
- If T is in Slot 6 (26th July), U would be in Slot 3 (9th June), but P is already at Slot 3.
- Thus, T is on 9th July (Slot 5, who goes to Delhi) and U is on 26th May (Slot 2, who goes to Goa).
4. Placing Odisha and S:
- "The person who travels to Odisha travels just before S."
- Slot 2 is U (Goa), Slot 3 is P, Slot 5 is T (Delhi).
- The available consecutive spots where S can follow Odisha are:
- Slot 3 (Odisha) and Slot 4 (S), OR
- Slot 5 (Odisha) and Slot 6 (S) - but Slot 5 is already Delhi.
- Slot 1 (Odisha) and Slot 2 (S) - but Slot 2 is already U.
- Therefore, the person traveling to Odisha is P on 9th June (Slot 3), and S travels on 26th June (Slot 4).
5. Placing Q and R:
- "The number of persons travel between Q and S is one more than the number of persons travel before R."
- S is at Slot 4.
- Remaining open slots for people are Slot 1 (9th May) and Slot 6 (26th July).
- If R is at Slot 1 (0 persons before R), then persons between Q (Slot 6) and S (Slot 4) is 1 (Slot 5), which is indeed 0 + 1 = 1.
- So, R travels on 9th May (Slot 1) and Q travels on 26th July (Slot 6).
Final Schedule Summary:
1. 9th May: R
2. 26th May: U (Goa)
3. 9th June: P (Odisha)
4. 26th June: S
5. 9th July: T (Delhi)
6. 26th July: Q
Hence, S travels on 26th June.
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