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

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

At a Society election for president, precisely 963 votes were cast.
There is a total of 4 candidates that participate in the election.

The winning candidate exceeds the opponents by 53, 79 and 105 votes.

How many votes do each candidate gets?

A mile-long train is moving at sixty miles an hour when it reaches a mile-long tunnel. How long does it take the entire train to pass through the tunnel?

Chocolate costs 6 rupees and a Toy costs 5 rupees. If you have 32 rupees in total, how many chocolates and how many Toys can be purchased with that amount?

Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?

Christina has four daughters, and each of her daughters has a brother. How many children does Christina have?

Can you write down eight eights so that they add up to one thousand?

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?