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

What word is identified by the below rebus?

Your Your Your Your Your
Your Your Your Your Your

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?

I have one of the three numbers: 1, 2, or 3 in my mind. I speak only truth. You can ask me just one question for which I will only reply in yes or no or don't know. What question will you ask from me so that you are able to know the number?

What is a word made up of 4 letters, yet is also made up of 3. Sometimes is written with 9 letters, and then with 4. Rarely consists of 6, and never is written with 5.

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

81 x 9 = 801. What must you do to make the this equation true?

What building has the most stories?

There are two beautiful yet remote islands in the South Pacific. The Islanders born on one island always tell the truth, and the Islanders from the other island always lie.
You are on one of the islands and meet three Islanders. You ask the first which island they are from in the most appropriate Polynesian tongue, and he indicates that the other two Islanders are from the same island. You ask the second Islander the same question, and he also indicates that the other two Islanders are from the same island.
Can you guess what the third Islander will answer to the same question?

When I go in I might cause pain. I cause you to spit and ask you not to swallow. I can fill your hole. What am I?