Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

On one occasion, A Boy collects 71 rupees in form of 20 paise and 25 paise. He collects a total of 324 coins.

Can you tell me how many 20-paisa and 25-paisa he got?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

In a basket of apples,
when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there was five extra.

However, if the apples were counted in sevens, no extra apple was left. Can you calculate the minimum number of apples that were present in the basket?

An octopus has 8 legs. A hippogriff has 6 legs and 2 pairs of wings. A sphinx has 6 legs and one pair of wings. Now we have all 3 kinds and a total of 18 insects in a cage. We have a total of 118 legs and 20 pairs of wings. How many insects do we have of each kind?

Using Only Five 5's and any mathematical operator make sum as 37

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

If 21x = 79x, what is the value of x?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

Find out a multi-digit number that if multiplied by the number 9 or any of its multiplications products (i.e. 18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.