Hi, ## this

is Presh Talwalkar and you are watching Mind Your Decisions. Here is a fun logic puzzle. Which answer on ## this

list is the correct answer to ## this

### question

? Number one: all of the following. Number two: none of the following. Number three: all of the above. Number four: one of the above. Number five: none of the above. Number six: none of the above. I saw ## this

problem on the Math Stack Exchange, and I'll mention that my videos will make it so smart that problems like ## this

will start to look easy. But mathematics is about constant training.

Just as marathon runners practice with 5k races, the people who #### solve

the world's hardest problems practice with the easiest. Don't let the bad mathematicians tell you otherwise. In ## this

"you introduce me, I introduce you" video, I want to mention that Mental Floss introduced one of my logic puzzles: "Can you guess the secret word in ## this

puzzle?" Check out the Mental Floss article and watch my video. So can you #### solve

## this

problem? Give it a try, and when you're ready, keep watching the video to find a solution. So how can we #### solve

## this

logic problem? We will begin by evaluating each of the statements.

First consider statement 1: all of the following. If statement 1 is true, that implies that all the statements below, including 5, are true. But if statement 5 is true, that means that none of the statements before statement 5 can be true, including statement 1. That would imply that statement 1 has to be false. ## This

means that 1 is a statement that contradicts itself and cannot be true. So we will mark that statement 1 cannot be true. Now, let's skip statement 2 for a second and consider statement 3: all of the above. If 3 is true, that implies that 1 is true. But we already conclude that 1 is self-contradictory and cannot be true.

Did you find out? Thanks for watching ## this

video. These math videos inspire and build confidence for people around the world and already have over 100 million views. But evil mathematicians unfairly criticize them and spread their negativity. Let's be extra positive to cancel them. Please help us by subscribing for free to get the latest videos and by watching and sharing all Mind Your Decisions videos. You can email me with a brain teaser or math topic: presh mindyourdecisions com If you like, you can also check out my books that are linked in the video description, and you can support me on Patreon for exclusive rewards.

Thanks for looking, and thanks for your support.

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