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

Prove that the below maths equation is true.

8 + 8 = 91

What Adam and Eve do not have but the rest of the people have?

What kind of tree can you carry in your hand?

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

Only one colour, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What is it?

You are given with the following sum. Each of the letters can be decoded as a digit. If we tell you that D = 5, then can you solve it entirely?

DONALD
+GERALD
=ROBERT

Accidentally, two trains are running in the opposite direction and enter a tunnel that is 200 miles long. A supersonic bird that has fled the lab and taken shelter in the tunnel starts flying from one train towards the other at a speed of 1000 mph. As soon as it reaches the second train, he starts flying back to avoid collision and meets the first train again at the other end. The bird keeps flying to and fro till the trains collide with each other.

What is the total distance that the supersonic bird has traveled till the trains collided?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

John killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?