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

Find three whole, positive numbers that have the same answer when multiplied together as when added together.

What does this mathematical rebus means ?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

All of Jacob's shoes are red except two.
All of Jacob's shoes are green except two.
All of Jacob's shoes are yellow except two.

How many shoes does Jacob have?

In a competitive exam, each correct answer could win you 10 points and each wrong answer could lose you 5 points. You sat in the exam and answered all the 20 questions, which were given in the exam.
When you checked the result, you scored 125 marks on the test.

Can you calculate how many answers given by you were wrong?

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

There once were seven dwarfs who were all brothers. They were all born two years apart. The youngest dwarf is seven years old. How old is his oldest brother?

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

There is a straight highway. Four different villages lie on that highway. The distance between them is different. The third village is 60km away from the first village; the fourth is 40 km away from the second; the third is 10 km near to the fourth that it is to the second.

Can you calculate the distance between the fourth and the first village ?