Nine persons A, B, C, D, E, F, G, H, and I live on different floors of a nine-storey building numbered from 1 (ground floor) to 9 (top floor). Each person speaks a different language: Marathi, Hindi, Gujrati, Tamil, Malayalam, Telugu, Kannad, Punjabi, and Bengali. The following statements are given:

I. E lives more than two floors above the one who speaks Telugu.

II. The number of persons living between the ones who speak Gujrati and Malayalam is the same as the number of persons living above H.

III. B lives below the one who speaks Kannad.

Which of the following statements is NOT true?

Question

Nine persons A, B, C, D, E, F, G, H, and I live on different floors of a nine-storey building numbered from 1 (ground floor) to 9 (top floor). Each person speaks a different language: Marathi, Hindi, Gujrati, Tamil, Malayalam, Telugu, Kannad, Punjabi, and Bengali. The following statements are given:

I. E lives more than two floors above the one who speaks Telugu.

II. The number of persons living between the ones who speak Gujrati and Malayalam is the same as the number of persons living above H.

III. B lives below the one who speaks Kannad.

Which of the following statements is NOT true?

Accepted Answer

**Solution:**

1. From the given arrangement, the floors and persons with languages are:

| Floor | Person | Language  |
|-------|--------|-----------|
| 9     | F      | Hindi     |
| 8     | A      | Gujrati   |
| 7     | I      | Marathi   |
| 6     | C      | Bengali   |
| 5     | E      | Punjabi   |
| 4     | G      | Malayalam |
| 3     | B      | Tamil     |
| 2     | H      | Kannad    |
| 1     | D      | Telugu    |

2. **Check statement I:** "E lives more than two floors above the one who speaks Telugu."
   - E is on 5th floor.
   - Telugu is spoken by D on 1st floor.
   - Difference = 5 - 1 = 4 floors, which is more than two floors.
   - So, statement I is **true**.

3. **Check statement II:** "The number of persons living between the ones who speak Gujrati and Malayalam is the same as the number of persons living above H."
   - Gujrati is spoken by A on 8th floor.
   - Malayalam is spoken by G on 4th floor.
   - Persons between 8th and 4th floors = floors 7, 6, 5 → 3 persons.
   - H lives on 2nd floor.
   - Persons above H = floors 3 to 9 → 7 persons.
   - 3 ≠ 7, so statement II is **false**.

4. **Check statement III:** "B lives below the one who speaks Kannad."
   - B is on 3rd floor.
   - Kannad is spoken by H on 2nd floor.
   - Since 3rd floor is above 2nd floor, B lives above H.
   - So, statement III is **false**.

**Conclusion:**
- Statements II and III are not true.

**Answer:** Both II and III

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