1 votes 1 votes Spatial Aptitude made-easy-test-series test-series gate-preparation general-aptitude spatial-aptitude counting + – tishhaagrawal asked Nov 28, 2023 tishhaagrawal 803 views answer comment Share Follow See all 12 Comments See all 12 12 Comments reply tishhaagrawal commented Nov 28, 2023 reply Follow Share The answer given in the test series is 36 0 votes 0 votes Arjun commented Nov 28, 2023 reply Follow Share What’s the meaning of “pointed on two sides”? 0 votes 0 votes tishhaagrawal commented Nov 28, 2023 reply Follow Share Even I had the same doubt, but what I am interpreting is that they might be asking about the number of cubes present in any two faces of the larger cube (I am not sure though) 0 votes 0 votes minimalist commented Nov 28, 2023 reply Follow Share Total 12 edges in above cube. 3 cube on each edge can see face pointing on two sides of bigger cube. 12*3=36 . If this is correct I’m surprised i could solved it. 1 votes 1 votes tishhaagrawal commented Nov 28, 2023 reply Follow Share This is the solution provided by them 0 votes 0 votes tishhaagrawal commented Nov 28, 2023 reply Follow Share Woah... This seems correct. Thanks(Matches with the solution provided in the series as well! 1 votes 1 votes minimalist commented Nov 28, 2023 i edited by minimalist Nov 28, 2023 reply Follow Share congrats 0 votes 0 votes Arjun commented Nov 28, 2023 reply Follow Share What’s the point of matching with the provided solution? The question should be clear 1 votes 1 votes minimalist commented Nov 29, 2023 reply Follow Share Yes 💯 That's why I was surprised to solve this Question. But Solving this Question helped me to find standard Question related to this concept on Internet. Sir question not well framed. Infact I first came up with this solution 3*12+ 2*12 + 1*12= 36+24+12=72 It should have mentioned they meant only minimum size cube. Similar concept like below, Source: Internet 1 votes 1 votes mili_dhara commented Nov 29, 2023 reply Follow Share It should be actually “painted on two sides”. 0 votes 0 votes minimalist commented Nov 29, 2023 reply Follow Share https://gateoverflow.in/?qa=blob&qa_blobid=2698697826238991805nice handout source: Painted Cube (maths.org) 1 votes 1 votes AniMan_7 commented Nov 30, 2023 reply Follow Share I think it should be Pointed on two sides “...Painted on two sides “ Total $\text{12 edges}$ and on each edge there are total $\text{3 cubes}$ which are coloured on $\text{two sides only}$ $\therefore \text{Total no of cubes painted on two sides = 12 $\times$ 3 = 36}$ Another way: Total cubes on each edges = $5$, so on $12$ edges total $12 \times 5 = 60$ cubes there. Out of these $60$ cubes there are some cubes (vertices) which are $3$ faces/sides (Total $8$ vertices) and each vertex is associated with $3$ edges. $\therefore \text{Total no of cubes painted on two sides = (12 $\times$ 5) – (3 $\times$ 8) = 36}$ 2 votes 2 votes Please log in or register to add a comment.
0 votes 0 votes 12 * 3 = 36 will be answer. manishankarkanrar answered Apr 19 manishankarkanrar comment Share Follow See all 0 reply Please log in or register to add a comment.