Colors^3

Logic Level 1

In the above image, a cube is painted so that each side is a different number. If each of the colors 1, 2, 3, 4, 5, and 6 are to be used, then what side is opposite the side colored 2?

Green (6) Unknown Orange (4) Red (1)

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16 solutions

Yellow is visible in every perspective, but green is visible in none, so green is opposite of yellow. Orange is the only other color not shown directly adjacent to blue in any perspective.

that is a very clear, concise explanation.

William Cummings - 5 years, 8 months ago

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This was not a very easy question I have to say myself because I do a level maths and I did not understand the point in that equation

Samuel Creed - 5 years, 8 months ago

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I have to agree... In no point of the question it was mentioned to take in consideration the images.

Bruno Lima - 5 years, 3 months ago

In real life it doesnt applied

Ahl Al-Jannah - 8 months, 1 week ago

The only one you don't see at all, is green, so green is opposite of yellow because yellow is visible in all three perspectives, so green must be opposite of yellow...you know blue and orange are opposite, cuz you turn the perspective 2 cube 90 degrees toward yourself, and you see that blue is now on top while orange in now on the bottom, thus not visible from that perspective...there are only two colours left...red and purple. Orange is the answer.

Gerald Dixon John Cummings - 5 years, 8 months ago

I have color deficiency in my vision, so all of that helped me for nothing.

Michael Chrosniak - 5 years, 5 months ago

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Yeah i had to guess too :/

yay5337 . - 5 years, 4 months ago

you are all wrong it is blue

Ruth Baram - 3 years, 1 month ago

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sorry i mean orange

Ruth Baram - 3 years, 1 month ago

Clearly orange is the answer, you can already see that 2 is adjacent to 3, which is adjacent to 4. Green is not a plausible answer it's never mentioned in the question - where did green come from?

Peter Hogan - 2 years, 5 months ago

Roll perspective 2 towards you on to orange face 4 to see blue two is opposite.

Trigg Louthen - 2 years, 4 months ago

Box-1

     Rotating it 🔄 and 🔃 No.2 is now on back.

Box-2 Now We can see the front colour is orange opposite of No.2, in box-2.

Box-3 Box-2 is rotated upside down. No.2 comes on top while No.5 remains on right side.

Imran Magsi - 1 year, 8 months ago

Ignore Perspective 1. Ruth that was the color of 2. You were supposed the figure out what color was on the opposite side of blue (2)

Mxjd Ultimate - 1 week, 3 days ago

Could you see the problem in this way, just use your imagination :-)

Step.1- See perspective image-1.

Step.2- Then, see the perspective image-3 and find common colours on adjacent sides. So, you can easily find that in perspective image-1, the opposite to red colour is purple.

Step.3- Again, see the perspective image-3.

Step.4- Then again, see the perspective image-2 and find common colours on adjacent side. So, you can easily find that in perspective image-3, that colored orange is opposite to the side colored blue.

feedback plz?

Rajendra Singh Rajput - 5 years, 8 months ago

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Woah nice!!!! yup! Comparing adjacent sides is the right approach.

Pi Han Goh - 5 years, 8 months ago

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Thanks!!! :-)

Rajendra Singh Rajput - 5 years, 8 months ago

I was thinking of the number (6 ) not the color

Giovanni Marini - 2 years, 5 months ago
Nihar Mahajan
Sep 15, 2015

Lucky solution: From perspective 1 1 and 2 2 we surely know that yellow has adjacent colours as red, orange, blue and purple and hence we conclude that the side opposite to blue is either orange or purple because yellow and red are adjacent to blue. Since purple is not there in options , orange is the answer.

Complete solution: From perspective 1 1 and 2 2 we surely know that yellow has adjacent colours as red, orange, blue and purple and hence we conclude that the side opposite to blue is either orange or purple because yellow and red are adjacent to blue. From perspective 3 3 we have purple adjacent to blue which gives us orange opposite to blue :)

I'm not sure we even need perspective 1. Based on the relative positions of the yellow and purple sides in perspectives 2 and 3, we know that perspective 3 is a rotation forward by 90 degrees of perspective 2. So since blue is on top in perspective 3 we know that it was in the back in perspective 2, and thus must be opposite the orange side.

Brian Charlesworth - 5 years, 9 months ago

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that's exactly how I did it...

laura Venterosa - 5 years, 8 months ago

Yeah , correct.

Nihar Mahajan - 5 years, 9 months ago

it is weird because it has no perspective it is just a load of random Cubes with different colors that is all

Samuel Creed - 5 years, 8 months ago

Actually, depends on how you want to solve it. You really only need 1 &2, or 2&3 to have all the information necessary to figure out the one opposite of Blue. If you were using pair 1&2, you'd also know where Green is located -- essentially figuring out the entire cube- though people are slightly more likely to question your reasoning than if you used pair 2&3 since that pair just about explicitly locates the two.

Darren Yang - 5 years, 8 months ago

Missleding

Jerry Gioia Sr - 3 years, 10 months ago

It could be any color because it was never specified what color options were available... As we never see the 6... It could be any color.

Momo S - 2 years, 9 months ago
Warrick Cashman
Dec 2, 2018

The opposite to 2 on a dice is 4 = orange

Shubham Java
Sep 20, 2015

Ok I will try to explain how i reached the solution. What i tried to do was visualize the colors of the dices after turning them 90 degrees in a particular direction.

You can obtain perspective 3 from 2 after you rotate it in such a way the orange face faces the ground. Now the one that faces the ground (orange one) is opposite of the blue face as seen in perspective 3. Perspective 1 also agrees with this solution because if we turn the dice on perspective 3 by 90 degrees clockwise, while facing the blue side, we will obtain perspective 1. No wonder the face opposite to blue is orange.

If you read my solution tell me color of the face that is opposite of purple!! ! :) Thanks for reading!!!

From the information given, you can infer that red is opposite purple - green is never seen and therefore must be opposite yellow, and all other colours are shown adjacent to red.

Sarah Webb - 5 years, 8 months ago

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theb information is not clear at all it is not clear-able to read and it is not set out the right way of instructing it and the color coordinates are not right at all

Samuel Creed - 5 years, 8 months ago

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If you look at the logical placing of the colours on the cube, the question is much easier.

Sarah Webb - 5 years, 8 months ago

(Y) its good enough

Syed Zaidi - 5 years, 2 months ago

In P1 & P3 blue is on top and yellow has moved from the cube's RHS to center. Now in P3 purple is on the RHS and also in P2 its on the RHS. From P3 to P2 yellow has gone from the cube's center to the top. From this we can understand that blue from the top in P3 has gone to the rear face in P2 and the new face color orange has been behind blue.

No it is green because green is not showing.

stanley tackett - 5 years, 8 months ago

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green is opposite of yellow, purple is opposite of red and orange is opposite of blue, upon the understanding that the only color visible in all 3 is yellow, and green is visible in none.

Levi Thomas - 5 years, 8 months ago

I really and truley agree with you there Ankaj Venkatasubramanian

Samuel Creed - 5 years, 8 months ago
Eric Osborn
Sep 16, 2015

I set up a table of possible opposite pairings, eliminating possibilities that appear adjacent to each other in any one of the perspectives. The first breakthrough this approach allows is that green must be opposite yellow because the four other colors all appear adjacent to yellow and thus cannot be its opposite. Eliminating green as a possibility to be paired with blue, along with red and purple which we see as adjacent to blue in perspectives 1 and 3, leaves only orange to be on the other side of blue.

It does seem like perspective 1 isn't truly necessary to find the solution though since each side is uniquely colored and the only way to get from perspective 2 to 3 is to "roll" the cube forward, hiding orange on bottom to reveal blue on top. Red and green remain ambiguous this way, but this doesn't matter because they aren't part of the solution

A 6 sided dice is set up so that all sides add up to equal 7, so 6 is across from 1, meaning 7-2=5, so the answer would be 5.

Ella Buchholz - 4 years, 11 months ago
Mxjd Ultimate
Jun 4, 2021

In perspective 2, then perspective 3, they turned the cubs vertically. Ignore Perspective 1. When they turned the cubes the four was not showing anymore and the 2 was at the top and the 4 was at the bottom. So the answer is Orange (4).

Branden Potter
Nov 9, 2018

LONG SOLUTION : 3(yellow) is the opposite of 6(color: ?). You can tell by realizing how every number (1-5) is touching the 3(yellow) threw out all of the perspectives, but the 6. With this obtained info; "Perspective 2" and "Perspective 3" show 5(purple) with 3(yellow) obviously. This means the box in "Perspective 2" was simply flipped with the 4(orange) on the bottom in "Perspective 3", yet on the very top of the box in "Perspective 3" shows 2(blue). SO the opposite of 2(blue) is 4(orange) !

Colin Hamilton
Aug 13, 2018

We can see all four of the sides touching 3:

  • 1 and 2 are next to each other (Perspective 1)
  • 2 is also next to 5 (Perspective 3)
  • 5 is also next to 4 (Perspective 2)

This means if you were looking at face 3, and looked at each of its adjacent faces, starting at 1 and going clockwise, you'd get: 1, 2, 5, 4. So, 1 and 5 are opposite each other, as are 2 and 4.

There is only one possibility to go from perspective 3 to perspective 2. Begin with perspective 3, the purple stays on right and the cube rotates so yellow goes from front to top. Blue is now behind the cube in perspective 2, and it is easy to see the facing color is orange in perspective 2. (Indeed, you don't need perspective 1 to solve the puzzle ! )

Peadar McGrath
May 29, 2018

only 70% of people got this right? tsk, tsk, tsk.

Nicholas Koceja
Jan 8, 2018

this is solvable using any adjacent two of the three perspectives:

1&2: side 5 and side 4 are the back and bottom sides respectively from perspective 1. why? 3-4-5 goes anti-clockwise, so 4 must be the bottom face in perspective 1

2&3: this is rotating the block so that side 3 (front) becomes side 3 (top), thus side 4 has to be the bottom face in perspective 2

So in this problem, the answer is side 4

Daniel Schnoll
Nov 9, 2016

Opposite sides add up to 6. Perspective 1 to perspective 3 is a clockwise rotation around the y axis. 1 is now on the left, and 5 is on the right. 1+5 = 6. To verify this for other sides, look at perspective 2. If we know perspective 3 is a rotation of perspective 1 around the y in the clockwise direction, then perspective 2 is a counterclockwise rotation of perspective 3 around the x axis. 4 is now facing the front and 2 is facing the back. 4+2 = 6, verifying opposite 2 is 4.

Samuel Ko
Nov 8, 2016

Comparing perspective 2 and 3, we can see that perspective 3 is just perspective 2 moved down, because the purple 5 is on the same side. Hence, it will be orange. Perspective 1 is redundant in this explanation

Achille 'Gilles'
Jan 8, 2016

You could see yellow on all the perspectives so from there you could deduce that adjacent to Yellow are in order Blue, Purple, Orange and Red.

Note:

This problem could be solved with only Perspective 1 and 2 or 2 and 3. 2 is needed to know the opposite surface's color

As we always see yellow, we never see what is opposed but as green is suggested in answer's option and if it is present, green would be opposed to yellow.

Consider perspective 3: If you turn the cube as if yellow face goes upwards (imagine an horizontal axis through side marked as 5 - pink) you will have the side number 2 (blue) behind your sight. In this situation, you will be looking at the opposite side of side 2 - blue, exactly what the problem requires. That's the situation on perspective 2. And you're staring at number 4 - orange, so that's the answer.

Feedbacks are really welcome.

Paulo Henrique - 2 years, 5 months ago

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