The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can be the set of the four numbers?

Question: The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can be the set of the four numbers?

Solution:
Using options,
We find that four consecutive odd numbers are 37, 39, 41 and 43

Here, 37 + 39 + 41 + 43 = 160

The sum of these 4 numbers is 160, when divided by 10 we get 16 which is a perfect square.

Hence, the required set = 37, 39, 41 and 43