Can You Solve This Tricky Multiple Choice Question?

Hey

this

is Presh Talwalkar watching Mind Your Decisions. Here is a fun logic test. Which answer in

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: any of the above. Number five: none of that. Number six: none of that. I saw

this

problem on Math Stack Exchange and I want to mention that my videos will make you smart enough that problems like

this

will seem easy. But math is about constant training. Just as marathon runners train with 5k races, people who

solve

the world's toughest problems train with easier ones.

Don't let the math bad guys tell you otherwise. In

this

You Show Me, I Show You video, I want to mention that Mental Floss contained one of my logic puzzles: "Can you guess the secret word in

this

brainteaser?" Check out the Mental Floss article and check out mine video on. Can you

solve

this

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

solve

this

logic problem? We start by evaluating each of the statements. First, consider Statement 1: all of the following. If statement 1 is true, it means that all of the following statements, including 5, are true.

But if statement 5 is true, that means none of the statements about 5 can be true, including statement 1. That would mean statement 1 must be false.

This

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

This

means that 3 cannot be true either. Now we come to statement 2: none of the following statements. If statement 2 is true, that means statement 4 must be false. 4 Says that one of the above statements is true.

So if 4 is false, that means none of the above statements can be true. So if 4 is false, we must assume that two is false, since one and three are already known to be false. Hence we have that 2 is a self-contradictory statement and cannot be true either. Now consider statement 4. If 4 is true, then 1, 2, or 3 must be true. But we have already concluded that 1, 2 and 3 cannot be true.

This

means that statement 4 must be false. Now let's skip Statement 5 for a second and move on to Statement 6: none of that. If 6 is true, 5 must be false. A statement implies 1, 2, 3 or 4 must be true.

But we already know that 1, 2, 3, and 4 are false, so statement 6 cannot be a true statement. So now we are left with statement 5: none of that. Can 5 be true? Yes it can! If 5 is true, then 1, 2, 3, and 4 should be false, which we already found. So there is no contradiction when we have that 5 is a true statement. So the correct answer is 5. Did you figure it out? Thank you for watching

this

video. These math videos inspire and uplift people around the world and have already had over a hundred million views. But the math bad guys unfairly criticize them and spread their negativity.

Let's be extra positive to pick them up. Please help by subscribing for free to get the latest videos and to view and share all Mind Your Decisions videos. You can email me any puzzle or math topic: presh mindyourdecisions com If you like you can also check out my books linked in the video description and you can support me on Patreon for exclusive rewards. Thanks for watching and thanks for your support.