There are four platforms at a railway station opening sequentially at 5am, 6am, 7am, and 8am respectively. Trains arrive at these platforms one after another with a one-hour gap between arrivals on the same platform. Multiple trains can arrive on a single platform but always with a one-hour interval.

Given the following information:

1. Train M is not the only train arriving on its platform.
2. Train D arrives immediately before train B on the same platform.
3. Train G and train H arrive on the same platform with a one-hour gap.
4. No train arrives after train C, which arrives at 6am on one of the platforms.
5. Train G and train B arrive at the same time, and train B is on platform 1.
6. The train that arrives first at 5am on platform 1 also arrives at 7am on platform 3.
7. Train K arrives on platform 1 before train S arrives on platform 2.
8. Train H arrives on platform 2 at 7am.

Based on the above, which of the following statements is NOT true?

I. Train S is the last to arrive on one of the platforms.
II. Train K arrives after train B on the same platform.
III. Only two trains arrive on more than one platform.

Question

There are four platforms at a railway station opening sequentially at 5am, 6am, 7am, and 8am respectively. Trains arrive at these platforms one after another with a one-hour gap between arrivals on the same platform. Multiple trains can arrive on a single platform but always with a one-hour interval.

Given the following information:

1. Train M is not the only train arriving on its platform.
2. Train D arrives immediately before train B on the same platform.
3. Train G and train H arrive on the same platform with a one-hour gap.
4. No train arrives after train C, which arrives at 6am on one of the platforms.
5. Train G and train B arrive at the same time, and train B is on platform 1.
6. The train that arrives first at 5am on platform 1 also arrives at 7am on platform 3.
7. Train K arrives on platform 1 before train S arrives on platform 2.
8. Train H arrives on platform 2 at 7am.

Based on the above, which of the following statements is NOT true?

I. Train S is the last to arrive on one of the platforms.
II. Train K arrives after train B on the same platform.
III. Only two trains arrive on more than one platform.

Accepted Answer

**Solution:**

1. From the given data, the arrival schedule is:

| Platform   | 5am | 6am | 7am | 8am |
|------------|-----|-----|-----|-----|
| Platform 1 |  K  |  C  |  D  |  B  |
| Platform 2 | --- |  S  |  H  |  G  |
| Platform 3 | --- | --- |  K  |  M  |
| Platform 4 | --- | --- | --- |  C  |

2. Analyze statement I: "Train S arrives last on one of the platforms."
   - Train S arrives at 6am on platform 2.
   - On platform 2, trains H and G arrive later at 7am and 8am respectively.
   - Therefore, Train S is not the last to arrive on platform 2.
   - On other platforms, S does not arrive.
   - Hence, statement I is **false**.

3. Analyze statement II: "Train K arrives after train B on the same platform."
   - Train K arrives at 5am on platform 1.
   - Train B arrives at 8am on platform 1.
   - So, K arrives before B on platform 1.
   - Therefore, statement II is **false**.

4. Analyze statement III: "Only two trains arrive on more than one platform."
   - Train K arrives on platform 1 at 5am and platform 3 at 7am.
   - Train C arrives on platform 1 at 6am and platform 4 at 8am.
   - Train M and others appear only once.
   - So, exactly two trains (K and C) arrive on multiple platforms.
   - Statement III is **true**.

5. Since statement I and II are false and III is true, the option "Only II and III are true" is incorrect because II is false.

6. Check other options:
   - "Only I is true" is false because I is false.
   - "None is true" is false because III is true.
   - "Only I and II are true" is false because both I and II are false.

7. The correct interpretation is that only statement III is true.

**Answer:** Only III is true (Option e).

**Note:** The original answer key marks option (c) "Only II and III are true" as correct, but based on the schedule and logic, statement II is false. Hence, the correct answer should be option (e) "Only III is true." If the original key is to be strictly followed, then option (c) is marked correct, but logically option (e) is accurate.

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