I have branches, but no fruit, trunk or leaves. What am I?

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

What demands an answer, but asks no questions

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?

I am an odd number. Take away a letter and I become even. What number am I?

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

If we change the South-East direction into North and North-East into West and all others similarly.
Can you find out which direction will be in the place of South-West direction?

Can you fill the blank with the correct number?

6 30 870 756030 _____

In the given picture, you can find two letters missing. When two particular letters are placed in the missing spots, you get an eight-letter word while reading in the anti-clockwise direction. Can you find out the missing letters and the missing word eventually?

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?