Can you find out the next digit in the following series ?

0, 0, 1, 3, 2, 6, 3, 9, 4, 12, 5, ?

What is the Surname of Barbie Doll?

You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?

An inspection by the superintendent of St. Joseph School was scheduled on the next day. The class teacher Jenifer knew that he would be asking questions from her class and she would have to choose a pupil to answer. To offer a perfect impression over him, the teacher explained certain instructions to the students to maximise the chances of getting correct answer every time.

What did she say to the students?

There is something which you can be arrested for attempting but not for successfully completing.

I noticed one of the words in the oxford dictionary is spelled incorrectly. What about you?

With the help clues provided in the image, can you find the 5 digit key?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

I taste better than I can smell. Who am I?

While handling a project, the landscaper is asked by the owner of the mansion that he wants four trees in front of his mansion that are exactly equidistant from each other.

How will he do it?