Arbitrary_Random

Each of two apple women had 30 apples for sale.

The first sold hers at the rate of 2 apples a dollar, the second at a rate of 3 apples a dollar.

When all apples were sold their respective receipts were 15$ and 10$ or 25$ in all.

Next day, the women decided to do business together, so they pooled their 60 apples and sold them at the rate of 5 apples for 2$ (2 apples for 1$ plus 3 apples for 1$).

Upon counting their joint receipt they were dismayed to find that they had only 24$. They searched all about them for that other DOLLAR and wound up by bitterly accusing each other o having taken it.

WHERE WAS IT?

Two secretaries in an office ,the first one ends typing a report in 2 hrs , the second one ends typing the same report in 3 hrs, if they both cooperate to type that same report, how long it takes them to finish typing it.

I’m thinking of a 6-digit number. The sum of the digits is 43. It’s a square number and it's under 500000.

I never was, am always to be,

No one ever saw me, nor ever will

And yet I am the confidence of all

To live and breathe on this terrestrial ball.

1 4 1 5 9 ? ?

There is one four-digit whole number n, such that the last four digits of n² are in fact the original number n.

What is it?

Aaron, Betty, Charlie, Debbie, and Eric each ordered a pizza with three of the following five toppings: green pepper, mushrooms, onions, pepperoni, and sausage. The only topping that Aaron and Charlie had in common was sausage. The only topping Debbie and Eric had in common was pepperoni. The only topping Charlie and Betty had in common was mushrooms. The only topping Debbie and Betty had in common was green pepper.

Which toppings did each of them have on their pizza?

A train goes around a circle, the first time with an average velocity of 100 km/h. How fast should the train be when going around the circle again a second time, so that the average velocity over the two loops is 200 km/h?

Hint

•The obvious answer 300 km/h is wrong.

First right answer with a mathematical proof will be chosen as the BEST ANSWER

Two boys approach the shore of a river. There is a boat, but only one boy can fit in. The only way to get to the other side is by boat, and the boat is unable to move itself. Given this puzzle has a solution, how can both boys get to the other side?

There are two cities, one of them is called City of Lies, and the other - City of Truth. Those who were born in City of Lies always lie. Those who were born in City of Truth always tell truth. Residents of each town visit the other town from time to time, so when you ask someone a question you don't know if he would lie or not.You are in one of these cities, and your task is to determine which city you are in by asking a random bypasser one question. What question should you ask? give the reasoning