Read the given information carefully and answer the related questions:

Seven persons K, L, M, N, O, P and Q - were born (not in given order) on same date of same month but in different year – 1955, 1961, 1972, 1987, 1998, 2006, 2017. Consider base year 2025 for age calculation.

M’s age is the cube of a number. 11 years difference between M and K. Three persons are in between K and P. N is 32 years older to Q. L’s age is the cube of a number. Age difference between L and K is more than 10 years.

Who among the following was born in 1972?

To find out who was born in 1972, let us calculate the age of each person with respect to the base year 2025.

The birth years given are: 1955, 1961, 1972, 1987, 1998, 2006, 2017.

Let's calculate the ages of individuals born in these years as of 2025:
- Born in 1955: 2025 - 1955 = 70 years old
- Born in 1961: 2025 - 1961 = 64 years old
- Born in 1972: 2025 - 1972 = 53 years old
- Born in 1987: 2025 - 1987 = 38 years old
- Born in 1998: 2025 - 1998 = 27 years old
- Born in 2006: 2025 - 2006 = 19 years old
- Born in 2017: 2025 - 2017 = 8 years old

Now, let's analyze the given clues:
1. "M’s age is the cube of a number."
Looking at the ages (70, 64, 53, 38, 27, 19, 8), the perfect cubes are:
$4^3=64$
$3^3=27$
$2^3=8$
So, M's age can be 64, 27, or 8.

2. "L’s age is the cube of a number."
So, L's age can also be 64, 27, or 8 (distinct from M's age).

3. "11 years difference between M and K."
Let's check the possibilities for M's age (64, 27, 8) and find K's corresponding age:
- If M = 64, K can be 64 - 11 = 53 (which is in our list) or 64 + 11 = 75 (not in list). So if M = 64, then K = 53.
- If M = 27, K can be 27 - 11 = 16 (not in list) or 27 + 11 = 38 (which is in our list). So if M = 27, then K = 38.
- If M = 8, K can be 8 + 11 = 19 (which is in our list). So if M = 8, then K = 19.

4. "Three persons are in between K and P" when arranged by age/birth year.
Let's list the birth years in chronological order:
1st: 1955 (70)
2nd: 1961 (64)
3rd: 1972 (53)
4th: 1987 (38)
5th: 1998 (27)
6th: 2006 (19)
7th: 2017 (8)
If three persons are between K and P, the positions of K and P must be (1st and 5th), (2nd and 6th), or (3rd and 7th).
Let's test the possibilities for K's age:
- If K = 53 (3rd position), then P must be in the 7th position (age 8). Let's check this case:
Since K = 53, M must be 64.
This leaves L's age to be either 27 or 8. But P is 8, so L must be 27.
Let's check if the difference between L (27) and K (53) is more than 10 years: 53 - 27 = 26, which is indeed more than 10 years.
- Let's check: "N is 32 years older to Q."
The remaining ages for N, O, Q are 70, 38, 19.
We need a difference of 32 years between N and Q: 70 - 38 = 32. Thus, N must be 70 and Q must be 38.
This leaves O to be 19.
All conditions are perfectly satisfied in this case.

Thus, the age of K is 53 years, which corresponds to the birth year 1972.

Therefore, the person born in 1972 is K.