I am lying and I always lie. Tell me whether I am lying or telling the truth.

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

Your job is to measure 45 minutes if you have only two cords and matches to light the cords.

1. The two cords are twisted from various materials, so their different segments can burn at different rates.
2. Each cord burns from end to end in exactly one hour.

Describe your way of measuring the 45 minutes.

What does it mean?

Make eight squares by moving only two matchsticks.
Note- Square can be of different sizes.

What is the centre of gravity?

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?

Can you replace the X (both small and big x) with the numbers between 1 to 19 such that all the rows of 3 numbers between X (big x) sum to 23?

A gardener planted the Lemon trees in a mathematical ordered way (i.e. he planted a tree in rows).
He created a total of 19 rows of trees.

Note: There should be more than 2 trees to count as a row.

What is the minimum number of trees required by the gardener to have 19 rows of trees?

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?