Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

What number should come in place of the question mark below?

I’m tall when I’m young, and I’m short when I’m old. What am I?

In the following series, a set of numbers is progressing with a particular pattern. Can you deduce that pattern and find the missing set?

(2 + 6), (21 + 6), (58 + 6), (119 + 6), ___

An equation has been laid down using a few matchsticks. However, as you can see, the equation is not correct. Can you correct the equation if you are allowed to add or remove 5 matchsticks?

At my favorite fruit stand,
an orange costs 18,
a pineapple costs 27,
and a grape costs 15.
Using the same logic, can you tell how much a mango costs?

You have two buckets - one holds exactly 5 gallons and the other 3 gallons. How can you measure 4 gallons of water into the 5 gallon bucket?

(Assume you have an unlimited supply of water and that there are no measurement markings of any kind on the buckets.)

Can you find the company name in the pictogram below?