Study the given information carefully and answer the questions given below.

Seven corporate seminars will be scheduled on the 13th, 5th, 23rd, 17th, 29th, 7th, and 2nd across six consecutive months: January, February, March, April, May, and June of a leap year. Exactly two seminars will be held in one of these months, while the other months will have one seminar each. The Marketing seminar is scheduled for an even-numbered date in a month that has exactly 30 days. The Finance seminar is scheduled two months prior to the Marketing seminar. The Operations seminar will take place on the 5th, in the month immediately following the one in which the HR seminar is held. The IT seminar is scheduled for March, but its month is not immediately before the month of the HR seminar. The sum of the dates for the two seminars held in the same month is 25. The Sales seminar is scheduled for the 13th but cannot be held in May. Neither the HR seminar nor the Legal seminar is scheduled for the 7th.

Which of the following seminars will be conducted in May?

The correct option is HR seminar.

Step-by-Step Explanation and Logic:

Let's analyze the given information step-by-step to determine the schedule for each seminar.

1. Identify the given dates, months, and constraints:

• Dates available: 2nd, 5th, 7th, 13th, 17th, 23rd, 29th.

• Months available: January (31 days), February (29 days - leap year), March (31 days), April (30 days), May (31 days), June (30 days).

• Exactly two seminars take place in one of the months, while each of the other five months has exactly one seminar.

2. Determine the position of the Marketing and Finance seminars:

• The Marketing seminar is scheduled for an even-numbered date in a month that has exactly 30 days.

• The available dates are 2nd, 5th, 7th, 13th, 17th, 23rd, 29th. The only even date is the 2nd. So, Marketing is on the 2nd.

• Months with exactly 30 days are April and June.

• The Finance seminar is scheduled two months prior to Marketing.

• If Marketing were in April, Finance would be in February.

• If Marketing were in June, Finance would be in April.

3. Analyze the two seminars in the same month condition:

• "The sum of the dates for the two seminars held in the same month is 25."

• Let's find two dates from the set {2, 5, 7, 13, 17, 23, 29} that add up to 25:

- 2 + 23 = 25

- 12 + 13 (12 is not in the set)

- 18 + 7 (18 is not in the set)

• So, the two dates in the same month must be 2nd and 23rd.

• Since Marketing is on the 2nd, the month containing two seminars must be the month in which Marketing is held!

4. Determine the exact month for Marketing and Finance:

• We know IT is scheduled for March.

• If Marketing was in June (with 2nd and 23rd), Finance would be two months prior in April.

• Let's check HR and Operations:

- Operations is on the 5th, in the month immediately following HR's month.

- IT is in March, but its month is not immediately before HR's month, which means HR cannot be in April.

• If Marketing is in April (2nd and 23rd):

- Finance is 2 months prior, which is February.

- Marketing month is April, which has two seminars (2nd and 23rd).

- Now let's place HR and Operations:

- Operations is immediately after HR.

- Since IT is in March and IT's month (March) is NOT immediately before HR, HR cannot be in April.

- Thus, HR must be in May, and Operations must be in June (on the 5th).

5. Place Sales, Legal, HR, and other seminars on their dates/months:

• January: Sales is on the 13th (since Sales cannot be in May, and the available 13th date fits here; if Sales was in April it would clash with 2nd/23rd or duplicate, let's trace: dates remaining are 7th, 17th, 29th for HR, Finance, Legal, IT).

• HR is in May, and cannot be on the 7th. Operations is on 5th June.

• Legal cannot be on the 7th.

• Therefore, 7th must belong to either Finance or IT.

6. Summary of Seminars per Month:

• January: Sales (13th)

• February: Finance

• March: IT

• April: Marketing (2nd) + Legal or another seminar (23rd)

• May: HR seminar

• June: Operations seminar (5th)

Thus, the seminar conducted in May is the HR seminar.