## Solving Math and Logic Puzzles with Open AI ChatGPT

The ability of OpenAI ChatGPT (https://chat.openai.com) to correctly answer on math and logic problems is tested. One hundred questions were chosen from a large collection of Aplusclick.org math and logic problems. The short textual questions are typical for students of age 10 – 14 years (school Math Olympiads).

Only 29% of the problems were solved correctly by ChatGPT on 12.01.2023.

Artificial Intelligence chats are not ready yet to replace human beings in problem solving.

## Job Interview Puzzles 2022

Aplusclick best puzzles of 2022 are as follows.

## Pebbles

The Rhind Mathematical Papyrus (1550 BC) describes a method to calculate the number of pebbles that fit inside a circle with a diameter of 9 pebbles. Can you make your estimation of the number?

## Sleep

Charlie belongs to London’s top society.  During which month does Charlie sleep the least?

## Birth Rate

Guess the month with the highest birth rate in UK.

## Green & Red

There are 200 dice in a bag, 90% of them are red and the others are green. How many red dice are needed to be removed to make the percentage of red dice 80%?

## Next Number

60  30  20  15  12  . . .  Which number goes next in the sequence?

## Something

People throw something when they need it  and take back when they don’t need it.  What is their profession?

## and many others . . .

A grandmother has four grandchildren, Alain, Brain, Cain, and Daine. They all call her on January 1st and then Alain calls her every second day, Brain calls her every third day, Cain calls her every fifth day, and Daine wants to choose the rule, so that the granny has the smallest number of days without calls. ##What is the best strategy for her?

____________

A good daughter phones her elderly mother every other day. A son of the same mother phones her every third day.

What is the fraction of days when she does not receive a call from the lovely children?

## Who Solves Puzzles

Vladimir Arnold explained: “everybody who considers the thinking culture an essential part of the personality development.

This is an example of Vladimir’s puzzle:

“The hypotenuse of a right-angled triangle (in a standard American examination) is 10 inches, the altitude dropped onto it is 6 inches. Find the area of the triangle.

American school students had been coping successfully with this problem over a decade. But then Russian school students arrived from Moscow, and none of them was able to solve it as had their American peers (giving 30 square inches as the answer). Why?”

If you did not find the explanation check the answer.

## May 1st Logic

Who does not belong?

## Professional

Gerry says to Jane:

“Imagine that you have about one thousand dollars cash in your wallet,

which we round to the exact number of 1024,  and you enter a restaurant.

What do you choose as a starter?”

Which is Gerry’s most likely profession?

## Funniest Aplusclick Puzzles

Math is Fun!

How many people left their footprints on the rocks?

## What Is The Chance To Obtain \$1,000,000?

Austin and Betty are entrepreneurs with many ideas. They need initial investment. A venture capitalist Craig decides to invest one million dollars  in a new business.  One at a time, Austin and Betty ask Craig for the initial investment in a new business.

Austin starts first and he has 25% chance to convince Craig in an attempt. Austin and Betty have equal chances to get \$1,000,000 at the end.

What is Betty’s probability to get \$1,000,000 in a single attempt?