Interesting fact ---> 36 - Ramanujam Number and Anagram

Back to my favourite number again!

1729 = 12 ^ 3 + 1

Now look at one of the anagrams of 1729 ---> 9271

9271 = 21 ^ 3 + 10

21 is reverse of 12 and 10 is reverse of 1!

Ramanujam's number never ceases to amaze us even after so many years!!!  Wonderful discovery by a Great person...

Interesting fact ---> 35 - What is common among these numbers?

Can you find what is common between these four squares

2025, 3136, 6561, 8281

Interesting fact ---> 34 - What is unique about this square series?

What is unique and common about all the perfect squares between 1600 to 3600 and 8100 to 10000?

Interesting fact ---> 33 - Find this number

1. Its a 3 digit number - ABC

2. Add a digit (X) in the beginning and the resultant number is a perfect square - XABC

3. Add X to ABC and you get a perfect square - ABC + X

4. Add X as the second digit and the resultant number is still a perfect square - AXBC

5. Add Y as the 2nd or 3rd digit and still its a perfect square - AYBC, ABYC!

6. ABC itself has a special characteristic!

Find ABC

Interesting fact ---> 32 - Find these numbers

Find these 4 digit numbers which satisfy the following criteria

1. Its a perfect square

2. Remove first digit and the resultant is a perfect square

3. Remove first 2 digits and still we have a perfect square!

Interesting fact ---> 31 - What's next in the series?

Should be relatively a simple one - What's next in the series - 12, 36, 80, 150, ?