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MindYourDecisions

MindYourDecisions

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7 Puzzles To Test Your Logic Skills

Video Overview & Insights

Can you ace these challenging puzzles? Skills tested: outside the box thinking, creativity, logic, pattern recognition, Harvard entrance exam style question, interview question, mathematics, puzzle solving, problem solving, genius test

PUZZLE 5 IS WRONG. The inner cuboid is submerged at 25m height. so the water displaced will also cover the top of inner cuboid. The answer will be initial volume of water in big cuboid (50x50x25 = 62500) + volume of inner cuboid(25x25x25 = 15625). Now once the inner cuboid is entered the large cuboid and submerged, the water will cover the entire (50x50) face surface of large cuboid while rising above the inner cuboid. So 62500+15625 will be considered as new volume of water in large cuboid. When you reverse calculate it, it will be 78125 cu.cm total volume divided by 50x50 to give 31.25cm height of new displaced water. Substracting from original height we get 6.25cm. (THIS IS ONLY POSSIBLE BECAUSE THE INNER CUBOID IS GETTING SUBMERGED IN THE OLD VOLUME OF WATER SO RISING WATER LEVELS ARE DIFFERENT.)

— @nayanagrawal5604

0:00 swap coins

2:15 train tunnel

Done in 1.5 mins

— @Nephilimkalki

5:33 perimeter

8:37 stick equal areas

In the aquarium puzzle the square of the aquarium becomes less by 3/4, hence the height of the water level must increase by 4/3 in order for the volume to stay unchanged. Hence the delta is 1/3 of 25 = 8.3333

— @alexeyagapov6800

11:48 water block

14:59 pin logic

Only 3 first hints are enough in the lock puzzle: 1 can't be in the PIN because of the first two hints, hence xx8 because of the 1st and 3rd hints, 4x8 because of the 3rd and 478 because of the 2nd hint.

— @alexeyagapov6800

19:07 which way bus

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Bilmece 5 :
50×50×h=25×25×(25+h)
h=25/3 cm

— @ufukkoyuncu3408

https://www.youtube.com/channel/UCHnj59g7jezwTy5GeL8EA_g/join

Patreon

First puzzle answer turn screen upside down

— @juleegrape1800

https://www.patreon.com/mindyourdecisions

Subscribe: https://www.youtube.com/user/MindYourDecisions?sub_confirmation=1

The best part: Michio Kaku's AI voice😊

— @wcvbw

Puzzle 1

https://www.youtube.com/shorts/SzXlugijgHs

If this bus is moving , its ofcource to the left

— @gazelle1414

Puzzle 2

sent by email, also UKMT 2015

for puzzle one you said nothing about not Being aloud to decrase the size of the balls meaning i can just deacrse the size by 10 and let them shift places without any problem😊

— @alvar3428

https://ukmt.org.uk/wp-content/uploads/2023/08/cayley-2015-q.pdf

Puzzle 3 kangaroo

The bus going left no door exit

— @chonamallari4080

https://ikmc.kangaroo.org.pk/uploads/ikmc/documents/e-Junior_compressed.pdf

https://www.youtube.com/watch?v=X5btbPxyoZU

For the water displacement puzzle. When ¼ of the W * L is displaced, or, in other words, ¾ of the W * L remains, the H will rise to 4/3 of the original, or 33.33. Otherwise stated, it increases by ⅓ of the original, or 8.33.

— @TonyCAV8R

Puzzle 4 stick

https://matchstickpuzzles.blogspot.com/2017/09/549-divide-square-into-2-parts.html

on puzle 6 the first 3 clues are enough to be found the answer

— @liverpool_ynwa5161

Puzzle 5 water

Thanks to Fahad Alomaim for the suggestion! Translated from the Mawhiba curriculum

If you look closely in the 3rd puzzle it's 3 closed shapes contaning one another: I solved it by adding up10+7+3 then subtracting 4, then we get with the the bigger inner closed shape's perimeter which is 16, i subtracted 16 from the sum from the boundary regions (42) so 42-16= 26

— @_10133

Puzzle 6 code lock

https://www.reddit.com/r/puzzles/comments/15dz2z9/i_cant_wrap_my_head_around_this/

You don't need the "door" just which side of the road a vehicle drives on...

— @jaffamuffin_ita

Puzzle 7 bus

https://www.youtube.com/watch?v=9nUARk6aFE4

The bus problem is simpler - there is road between you and the bus. When standing at the kerb, does traffic on your side of the road go right to left (Britain, Japan), or left to right (US)? The bus is the opposite side of the road and going the other way (left to right in Britain, right to left in the US). The symmetrical bus might be down to bad drawing, But the absence of the doors on our side also says it is against the far kerb.

— @ImprovisedPhotographer

https://puzzling.stackexchange.com/questions/575/which-way-is-the-bus-going

https://www.today.com/parents/can-you-crack-school-bus-puzzle-easy-brainteaser-kids-stumps-t71521

These were fun! #subscribedformore

— @DriedOutCuriositySponge

https://puzzleaday.wordpress.com/2018/08/30/which-direction-is-the-bus-going/

https://commons.wikimedia.org/wiki/File:Countries_driving_on_the_left_or_right.svg

But in the pin logic
The answer is 152 acoording to me check it out

— @ff12prx

Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!

If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.

Easy. Bored.

— @Nisarul-Haque

Book ratings are from January 2025.

My Books (worldwide links)

Well, in places where you drive on the right side, the doors are on the right side (So you can safely get in from the sidewalk). In places where you drive on the left side, they are opposite
The question asks about a BUS not the schoolbus, so "the :door is where the driver sits is false assumption". Still it doess not matter where the door is (except that its on the other side) , so when going forward in the right side traffic countries, it will go in the left direction relative to the picture.
It does not really matter where the driver sits, though I believe its always in front of the bus for practical reasons.

— @lahu76

https://mindyourdecisions.com/blog/my-books/#worldwide

My Books (US links)

The first solution to the square made of matches is wrong. According to the Pythagorean Theorem , the lenght of the diagonal (the longest line inside the square) is the square root of 32.... Which is less than 5. Therefore, any line made out of 5 matches can't fit inside the square. The second solution is correct but how do you find where the middle of one match/ stick is. It's like solving the bucket puzzle by saying " you just pour 4 litres of water in the 5 litre bucket". That solution would've worked better if you had 6 sticks that you had to place inside the square. That way no measurements had to be made.

— @ElyPaulSixOne

Mind Your Decisions: Five Book Compilation

https://amzn.to/2pbJ4wR

You could do puzzle 6 with just the first three hints.

— @Stefan13579100

A collection of 5 books:

"The Joy of Game Theory" rated 4.2/5 stars on 564 reviews

I have another interpretation: the bus tires contact patch is on the bottom half of the road, and given that there is no sign of the bus (or the rest of the drawing) being drawn with any sort of perspective, one could assume that it’s a basic schematic representation, without any details like doors. In that case, in Countries where vehicles drive on the right side of the road, the bus would be going to the right.

— @frioglobal

http://amzn.to/1uQvA20

"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.2/5 stars on 55 reviews

The bus one is nonsense, because it assumes that you know a variable exists that isn't stated - the presence of a door. In a simplified depiction of a bus like this, there is no reason to assume that there should be a door, because simplified iconic depictions of things omit elements on purpose. In such depictions we always presume that all visible elements are all the elements that actually exist, for example a face emoji does not have ears, even though people do.

— @oredaze

http://amzn.to/1o3FaAg

"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 81 reviews

buses are able to drive forwards and backwards so door position does not help!

— @waynethomas3638

http://amzn.to/1LOCI4U

"The Best Mental Math Tricks" rated 4.3/5 stars on 148 reviews

Maybe the bus is a Zoox?

— @AllDogsAreGoodDogs

http://amzn.to/18maAdo

"Multiply Numbers By Drawing Lines" rated 4.5/5 stars on 57 reviews

11:47 To find a new answer that is rotationally different from all of that, flip the whole 5 matchsticks in the middle

— @kaiburge1752

http://amzn.to/XRm7M4

Mind Your Puzzles: Collection Of Volumes 1 To 3

Who thought the bus was driving one wheel forwards and the other backwards so the bus breaks apart haha it’s so funny if you think about it

— @kaiburge1752

https://amzn.to/2mMdrJr

A collection of 3 books:

The best puzzle I've watched after long time. For the PIN number : first 3 clues are enough to answer.

— @spottypetstore1171

"Math Puzzles Volume 1" rated 4.4/5 stars on 138 reviews

http://amzn.to/1GhUUSH

So I solved every single onee of them by myself, where is my prize?

— @Punkin010

"Math Puzzles Volume 2" rated 4.2/5 stars on 45 reviews

http://amzn.to/1NKbyCs

Correct the map of India.. Don't use map which doesn't shows full map of India..

— @indrarider5506

"Math Puzzles Volume 3" rated 4.3/5 stars on 38 reviews

http://amzn.to/1NKbGlp

For puzzle 6 - PIN problem, only the first three clues are sufficient to solve. We used to play this game, which used to be called cows (occurs but in wrong position) and bulls (occurs and in correct position). We solve using the first three clues, thus :

1) 1 2 8 - 1 B
2) 1 5 7 - 1 C
3) 8 4 1 - 2 C

Reasoning :
1. Since from 1) and 2) '1' repeats, but is 1 C in 2), it follows 1 doesn't occur (if it did, even in 2) it would been either 1B or 1B and 1C).
2. Therefore, from 1) either 2 or 8 is in correct position and the 1 doesn't occur.
3. From 3) we have 2 C. But since 1 doesn't occur, both 8 and 4 must occur. From 1), we also said either 2 or 8 should be in correct position. Therefore, 8 must be in 3rd spot and 2 doesn't occur.
4. From 3) since 4 is a cow, it must either be in 3rd or 1st spot. As 3rd is already taken by 8, 4 must be in 1st.
5. From 2) we have 1 C and '1' doesn't occur. Therefore, either 5 or 7 must be in wrong spots. Only 2nd spot needs to be filled and if 5 were correct, it would've been a Bull and not a Cow. Therefore, it follows 7 is the correct digit.

Thus the answer is 4 7 8

— @agytjax

2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.

My Blog

In the bus picture, I would have said going to the Left (US native). However, there is one other aspect not accounted for: the yellow dashed line behind the bus. If the bus is going to the left, the bus driver better be pulled over for a DUI as he is on the wrong side of the road. But maybe some other countries driving on the left put a yellow dashed line as the curb line?

— @localtowntraveling

https://mindyourdecisions.com/blog/

Twitter

1:13 the blue ball on the right should've been moved in the middle so two green balls can fit at the right side, making it faster to solve the puzzle

— @ChristopherCoppersmith

https://twitter.com/preshtalwalkar

Instagram

Bus is reversing

— @Descenter1976

https://www.instagram.com/preshtalwalkar/

Merch

There no indication this is a school bus. I've never seen a school bus looking like that. The color is not that color, close but too far apart. From a depth of field standpoint the bus is in the center of the road.

— @gary4739

https://teespring.com/stores/mind-your-decisions

Patreon

Puzzle 7: Not sure if it makes sense, but when it was told about the country, then I saw it is running on the (farther)left side of the road, looking at the wide left on the (nearer)right to determine which direction it is going.

— @anupamkarn1009

https://www.patreon.com/mindyourdecisions

Press

Puzzle 7 is a farce. The drawing is too crude and the perspective too flat for any of your assumptions to be valid.

— @tobymichaels8171

https://mindyourdecisions.com/blog/press

i got puzzle 3 by seeing it instantly without any thinking.

— @TomArmyGuy

More User Perspectives

@

puzzle 4 has flaw. you can not find the centre of the match. and it is absurd to rotate 5 matches together.

@heallikk728
@

I thought it was stopped (for bus)

@RoxStrike
@

Puzzle 6, there's a much easier way to think about this.

You are effectively reducing the container's capacity by 1/4, as the inserted shape is 1/4 of the volume of the container.

3/4 of the water is unaffected, but 1/4 is therefore displaced. 1/4 is equal to 1/3 of 3/4, so the water must rise by 1/3 of it's current level. 25/3 = 8.33.

@angryparsnip9363
@

the bus also has no headlights or tail lights.

@ericp7271
@

you stated " completely pass" . Complete does not mean part of.

@ericp7271
@

I got it dude ! 478

@MH_MAHIR
@

Bus: Poor drawing. The bus looks as if it is in the middle of the road, and not as though it is on the right or left side. So impossible to say its direction of travel. (If there were more road between the lower sidewalk and the bus' wheels, then for it to be going to the left would be obvious, but the drawing is ambiguous).

@etonelli1
@

all done thx

@JamesBond007-l
@

1:42 Do not park one of the green coins. Put them all the way to the right instead, then park the remaining blue coin. You are then free to put both green coins in their final spots then the last blue.

@mareksroka5629
@

5:20 puzzle 2: i solved for the train lengths and found out one engineer is just off the clutch straight gassing it

@TheCoffeeElemental
@

Let the required height he h

Volume of water = 25 × 50 × 50 cm³ = (25+h)×50×50 - (25² × (25+h)

25 × 50 × 50 = (25+h)25×75

=> 75(25+h) = 2500

=> 3(25+h) = 100

=> h = 100 -75/3 = 25/3 cm

@nonroutineganit7682
@

The last one - I had no idea - until you said, it depends on your country - the second you said, I noticed the road side it was on.

@rianmacdonald9454