In a five membered family, who is the tallest person?

Statement I: Equal number of persons is shorter and taller than Daya. Arti is shorter than Arnav who is not the tallest. Jaya is just taller than Subhangi.

Statement II: Two persons between Arti and Arnav. Subhangi is taller than Jaya and shorter than Daya. Jaya is not the shortest person.

Question

In a five membered family, who is the tallest person?

Statement I: Equal number of persons is shorter and taller than Daya. Arti is shorter than Arnav who is not the tallest. Jaya is just taller than Subhangi.

Statement II: Two persons between Arti and Arnav. Subhangi is taller than Jaya and shorter than Daya. Jaya is not the shortest person.

Accepted Answer

**Solution:**

We need to find who is the tallest person in the family of five members: Arti, Arnav, Daya, Jaya, and Subhangi.

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**From Statement I:**
1. Equal number of persons is shorter and taller than Daya. Since there are 5 members, this means Daya is exactly in the middle in height (3rd tallest).

2. Arti is shorter than Arnav.

3. Arnav is not the tallest.

4. Jaya is just taller than Subhangi.

Let's analyze:
- Daya is 3rd tallest.
- Arnav is taller than Arti but not tallest.
- Jaya is just taller than Subhangi, so Jaya and Subhangi are consecutive in height.

Possible order (from tallest to shortest):
- Tallest: Not Arnav (given), so could be Daya or someone else.
- Daya is 3rd.

Since Arnav is not tallest, and Daya is 3rd, the tallest must be either Jaya or Arti or Subhangi.

But Jaya is just taller than Subhangi, so they are close.

This information is not enough to definitively identify the tallest person.

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**From Statement II:**
1. Two persons between Arti and Arnav.

2. Subhangi is taller than Jaya and shorter than Daya.

3. Jaya is not the shortest.

Let's analyze:
- Two persons between Arti and Arnav means if Arti is 1st, Arnav is 4th or vice versa.

- Subhangi is taller than Jaya but shorter than Daya, so order among these three is: Daya > Subhangi > Jaya.

- Jaya is not shortest, so shortest is either Arti or Arnav.

This information alone does not tell who is tallest.

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**Combining Statements I and II:**
- From I: Daya is middle (3rd).
- From II: Subhangi is shorter than Daya but taller than Jaya.

So order around Daya is: Daya (3rd), Subhangi (4th), Jaya (5th or 2nd depending).

- From II: Two persons between Arti and Arnav.

- From I: Arnav is not tallest, Arti is shorter than Arnav.

So Arnav cannot be tallest, Arti is shorter than Arnav.

Since Daya is 3rd, Arnav is not tallest, and Arti is shorter than Arnav, the tallest must be Jaya or someone else.

But from II, Jaya is not shortest and is shorter than Subhangi, so Jaya is 5th or 4th?

This contradicts earlier assumption.

Let's arrange all:
- Tallest: ?
- 2nd: ?
- 3rd: Daya
- 4th: Subhangi
- 5th: Jaya

Arti and Arnav have two persons between them, so positions can be:
- Arti 1st, Arnav 4th (but 4th is Subhangi)
- Arnav 1st, Arti 4th (4th is Subhangi)

So Arti and Arnav must be 1st and 4th or 2nd and 5th.

Since 4th is Subhangi, Arti and Arnav cannot be 4th.

Hence, Arti and Arnav are 1st and 5th or 2nd and 5th.

Arnav is not tallest (from I), so Arti is tallest.

**Final order:**
1st (Tallest): Arti
2nd: Arnav
3rd: Daya
4th: Subhangi
5th: Jaya

Thus, the tallest person is **Arti**.

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**Conclusion:**
- Neither Statement I nor Statement II alone is sufficient.
- Both statements together are necessary to answer the question.

**Answer:** Data in both Statements I and II together are necessary to answer the question.

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