Ten persons L, M, N, O, P, Q, R, S, T, and U were born on two different dates, 15 and 30, of five different months: January, March, April, September, and November, but not necessarily in that order.

- L was born on the 15th of a month that has 31 days.
- There are three persons born between L and P.
- Four persons were born between P and O.
- O was born before L.
- The number of persons born after O is equal to the number of persons born before N.
- One person was born between P and R.
- M was born before T but not in January.
- T was born before P.
- U was born before S on the same date.

**Question:** How many persons were born between T and N?

Question

Ten persons L, M, N, O, P, Q, R, S, T, and U were born on two different dates, 15 and 30, of five different months: January, March, April, September, and November, but not necessarily in that order.

- L was born on the 15th of a month that has 31 days.
- There are three persons born between L and P.
- Four persons were born between P and O.
- O was born before L.
- The number of persons born after O is equal to the number of persons born before N.
- One person was born between P and R.
- M was born before T but not in January.
- T was born before P.
- U was born before S on the same date.

**Question:** How many persons were born between T and N?

Accepted Answer

**Solution:**

1. We have 10 persons: L, M, N, O, P, Q, R, S, T, and U arranged in a sequence based on their birth dates.

2. L was born on the 15th of a month with 31 days (January, March, or November).

3. There are 3 persons between L and P, so the gap between L and P is 4 positions.

4. There are 4 persons between P and O, so the gap between P and O is 5 positions.

5. O was born before L, so O comes somewhere before L in the sequence.

6. The number of persons after O equals the number of persons before N, implying O and N are positioned symmetrically.

7. One person is between P and R, so the gap between P and R is 2 positions.

8. M was born before T, but M is not born in January.

9. T was born before P.

10. U was born before S on the same date (either both on 15th or both on 30th).

By logically arranging these clues step-by-step, the final sequence can be deduced. After placing all persons correctly, it is found that the number of persons between T and N is **2**.

**Answer:** Two

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