The problem asks us to determine the specific month in which Kim goes on holiday, given a set of clues about eight people (Paro, Runa, Sona, Kim, Harry, Ram, Geet, Monu) and their holiday months within a year (January, February, March, April, May, June, July, August).

Identifying Initial Placements

Let's break down the clues to establish initial placements and constraints:

• Harry's Month: The clue states, "Harry goes in the month of August."
  • August: Harry
• Sona's Month Constraints: "Sona goes in the month which has an odd number of days." The months with an odd number of days are January (31), March (31), May (31), and July (31). So, Sona must be in one of these four months.
• Geet's Month Dependency: "Geet goes just after the month in which Sona goes."
  • If Sona is in January, Geet is in February.
  • If Sona is in March, Geet is in April.
  • If Sona is in May, Geet is in June.
  • If Sona is in July, Geet is in August. However, we know Harry is in August, so this is not possible.
  Therefore, Sona can only be in January, March, or May. Correspondingly, Geet can be in February, April, or June.
• Runa's Month Constraints: "Runa goes in the month which has an even number of days but not in February." The months with an even number of days (30 days) are April and June. So, Runa must be in either April or June.
• Ram's Month Constraints: "Ram, who does not go in the month which have odd number of days." This means Ram must go in a month with an even number of days (February, April, June, August). Also, "Ram does not go in February." Since Harry is in August, Ram must be in either April or June.

Integrating Constraints for Sona, Geet, Runa, and Ram

From the analysis above:

• Sona is in Jan, Mar, or May.
• Geet follows Sona (Feb, Apr, or Jun).
• Runa is in Apr or Jun.
• Ram is in Apr or Jun.

Since both Runa and Ram must occupy either April or June, let's examine the possibilities for Sona and Geet:

• Possibility 1: If Sona is in March, Geet is in April. This conflicts with Runa or Ram needing April. So, Sona cannot be in March.
• Possibility 2: If Sona is in May, Geet is in June. This conflicts with Runa or Ram needing June. So, Sona cannot be in May.
• Conclusion: The only remaining possibility is that Sona is in January, and Geet is in February.

Based on this conclusion:

• January: Sona
• February: Geet
• August: Harry

The months April and June are left for Runa and Ram.

Placing Monu

The clue "Three persons goes between Monu and Sona" helps place Monu. Since Sona is in January:

• January (Sona) -> February (1 person) -> March (2 persons) -> April (3 persons) -> May.
• This means Monu must be in May.

Current arrangement:

• January: Sona
• February: Geet
• March: ?
• April: Runa or Ram
• May: Monu
• June: Runa or Ram
• July: ?
• August: Harry

The remaining people are Paro and Kim. The remaining months are March and July.

Determining Kim's and Paro's Months

Let's use the remaining clues:

• "Two persons goes between Kim and Ram"
• "Ram does not go in the month which have odd number of days" (Ram is in Apr or Jun).
• "Paro does not go after Kim" (Paro's month index <= Kim's month index).

Consider the two possibilities for Ram (April or June):

• Scenario A: If Ram is in April.
  • The clue "Two persons goes between Kim and Ram" implies Kim must be in July (April -> May, June -> July). The two persons between them would be Monu (May) and whoever is in June (Runa).
  • This places Kim in July.
  • The remaining person is Paro, and the remaining month is March.
  • Arrangement: Jan(Sona), Feb(Geet), Mar(Paro), Apr(Ram), May(Monu), Jun(Runa), Jul(Kim), Aug(Harry). (Note: Runa must be in June as Ram is in April).
  • Check constraint: "Paro does not go after Kim". Paro is in March, Kim is in July. March is before July, so this condition is met. This scenario is valid.
• Scenario B: If Ram is in June.
  • The clue "Two persons goes between Kim and Ram" implies Kim must be in March (June -> May, April -> March). The two persons between them would be Monu (May) and whoever is in April (Runa).
  • This places Kim in March.
  • The remaining person is Paro, and the remaining month is July.
  • Arrangement: Jan(Sona), Feb(Geet), Mar(Kim), Apr(Runa), May(Monu), Jun(Ram), Jul(Paro), Aug(Harry). (Note: Runa must be in April as Ram is in June).
  • Check constraint: "Paro does not go after Kim". Paro is in July, Kim is in March. July is after March, so this condition is violated. This scenario is invalid.

Final Arrangement and Kim's Holiday Month

Only Scenario A is valid, leading to the following arrangement:

• January: Sona
• February: Geet
• March: Paro
• April: Ram
• May: Monu
• June: Runa
• July: Kim
• August: Harry

Therefore, Kim goes on holiday in July.