Six individuals are traveling to six distinct cities on two different dates, the 7th and 16th, across three different months: March, April, and May of the same year. The following conditions apply:

- B travels in a month with an odd number of days and on an odd date.
- Exactly two people travel between B and the person going to Pune.
- Only two people travel after the person going to Varanasi.
- A travels to Delhi on an odd date.
- Exactly one person travels between A and F.
- The number of people traveling before F is equal to the number of people traveling after C.
- More than two people travel between D and E, who goes to Indore.
- F does not travel to Chennai.
- One person travels to Jaipur.

Based on the above information, answer the following:

**Which of the following statements about E is NOT true?**

Question

Six individuals are traveling to six distinct cities on two different dates, the 7th and 16th, across three different months: March, April, and May of the same year. The following conditions apply:

- B travels in a month with an odd number of days and on an odd date.
- Exactly two people travel between B and the person going to Pune.
- Only two people travel after the person going to Varanasi.
- A travels to Delhi on an odd date.
- Exactly one person travels between A and F.
- The number of people traveling before F is equal to the number of people traveling after C.
- More than two people travel between D and E, who goes to Indore.
- F does not travel to Chennai.
- One person travels to Jaipur.

Based on the above information, answer the following:

**Which of the following statements about E is NOT true?**

Accepted Answer

**Solution:**

1. B travels in a month with an odd number of days (March or May) and on an odd date (7th or 16th). Since 16th is even, B must travel on 7th.

2. Two persons travel between B and the person going to Pune.

3. Only two persons travel after the person going to Varanasi, so Varanasi traveler is 4th in order.

4. A travels to Delhi on an odd date.

5. Exactly one person travels between A and F.

6. The number of people before F equals the number of people after C, indicating F and C are symmetric in the order.

7. More than two persons travel between D and E, who goes to Indore.

8. F does not travel to Chennai.

9. One person travels to Jaipur.

From the above, the statements about E are analyzed:

- Statement (a): "B goes just before E" is true based on the order.

- Statement (b): "E goes to Pune" is false because Pune is assigned to another person.

- Statement (c): "Only two persons go between E and F" is true.

- Statement (d): "More than one person goes between E and D" is true.

- Statement (e): "Both (b) and (d)" is false because (d) is true.

**Answer:** (b) E goes to Pune

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