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**Solution:**

Following the final solution, we can say that Babu was the eldest.

**Final solution:**

**Common Explanation:**

**Reference:**

Eight actors – Madhubala, Amitabh Bacchan, Mahesh Babu, Rajpal Yadav, Gauri Khan, Vivek Oberoe, Salman Khan, and Jaya Bacchan were born in the years 1940, 1945, 1957, 1958, 1974, 1983, 1987, and 1991, but not necessarily in the same order. They were born on the same day i.e. on 1 January and assume all the age calculations were made as on 1 January 2008.

**Inference:**

Age of the persons born in the given years as on 1 January 2008 will be:

**Reference:**

Madhubala was thrice as old as Salman.

Salman and Jaya were born at a gap of 2 persons.

**Inference:**

Here, we have two possible scenarios in which we can use the above hints accordingly.

**Case 1:**

Age of Salaman is 17 years, then age of Madhubala will be 17 × 3 = 51 years

**Case 2:**

Age of Salman is 21 years, then age of Mala will be 21 × 3 = 63 years

**Reference:**

Mahesh was twice as old as Amitabh.

Gauri was born just after Amitabh.

**Inference:**

After using the above hints, we have:

**Case 1:**

Case 2:

Reference:

At least one person was born between Rajat and Vivek.

Vivek was not the youngest.

**Inference:**

At this point, we cannot fix the position of Rajpal and Vivek in case 1 according to the given hints so we can say that **Case 1 is an invalid case**.

**Case 2:**

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