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For a display, identical cubic boxes are stacked in square

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devbond
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Re: For a display, identical cubic boxes are stacked in square [#permalink] New post   29 Aug 2016, 13:01
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In the above figures ,small circles are akin to cubic boxes and lines are rows. So bottom most layer has 9*9 = 81 boxes . Now this figure has more layers stacked on top of it and each layer has 1 less box(small circle) and 1 less row( line). If you follow this theory then you will notice that no of rows = no of boxes in each row.

So 2nd layer from the top will have 2 rows with 2 boxes each. Similarly top most layer will have 1 row and 1 box.

So the total no of boxes will be : 9* 9 + 8*8 +.....+ 1*1 = 285 .
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swapnil611
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Re: For a display, identical cubic boxes are stacked in square [#permalink] New post   13 Feb 2018, 11:03
As we know the series is 9^2+8^2.....+2^2+1
we know there are 5 odd+4 even=odd hence striking off Answer choices A,B,and D now we can sum only the unit digits of the squares
1+4+9+6+5+6+9+4+1=X5 hence answer choice ending with 5 is the Answer

Answer :E
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Re: For a display, identical cubic boxes are stacked in square [#permalink] New post   20 Dec 2019, 09:44
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TheNightKing wrote:
MarcusHalberstram wrote:
possibly the worst worded question i've ever read


I wouldn't say that.

I rather appreciate how GMAC achieves this kind of stuff. What is the fun in asking "What is the sum of squares of integers from 1 to 9?". That's the beauty of this exam. You need to fall in love with this to be able to achieve your elite score.

Bunuel can you add the tag as GMATPrep please? Thank you!


I did not know that this one is from GMAT Prep. Added the tag. Thank you.
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TheNightKing
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Re: For a display, identical cubic boxes are stacked in square [#permalink] New post   20 Dec 2019, 09:45
Quote:

I did not know that this one is from GMAT Prep. Added the tag. Thank you.



I thought so.

I got this one in the Exam 4 yesterday. Though I did not get it correct :?
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PayelRB
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Re: For a display, identical cubic boxes are stacked in square [#permalink] New post   17 Jul 2021, 01:45
why divide the sum by 6?
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Re: For a display, identical cubic boxes are stacked in square [#permalink] New post   10 Aug 2023, 04:23
As per the given scenario,

No. of boxes in the bottom-most layer = 81 = 9^2
For the layer just above the bottom-most layer, No. of boxes = (9-1)*(9-1)=8^2
Similarly, for the next layer, No. of boxes = 7^2
.
.
.
.
No. of boxes in the Top-most layer = 1^2

Total No. of boxes = 1^2 +2^2 + 3^2 + 4^2 + ...............+9^2 = 285

Hence E
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Re: For a display, identical cubic boxes are stacked in square [#permalink]
10 Aug 2023, 04:23
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