Latest TCS Aptitude Question SOLUTION: a 3x3 grid is painted with red and blue... in how many ways can it be painted in such a way that even if the grid is rotated 180 degrees it looks as the one before rotating..

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a 3x3 grid is painted with red and blue... in how many ways can it be painted in such a way that even if the grid is rotated 180 degrees it looks as the one before rotating..

Asked In TCS sruthi kaipa (11 years ago)

Solved Bharat Read Solution (10)

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Read Solution (10) :

Bharat  (11 years ago)

in a 3x3 grid we have 9 tiles [1 2 3] on rotating 180deg we get [9 8 7]
[4 5 6] [6 5 4]
[7 8 9] [3 2 1]
so that 1=9,8=2,7=3,6=4,5=5 for each combination 2ways of colors are possible
therefore for 5 combinations 2x2x2x2x2=32 ways are possible

Is this solution Helpfull? Yes (28) | No (5)  

snehil  (11 years ago)

we have 123
456
789
after rotation
987
654
321
now we can pain 123 in 2*2*2=8 ways.. and in which way we pain 123 we have to paint 789 in reverse way so that after rotation it will becom same as 123
now 456 and 654 shoul be same
there are possible combinations
rrr,bbb,rbr,brb only 4
so total combination will be 8+4=12
12 is ans

Is this solution Helpfull? Yes (3) | No (7)  

sanjana  (11 years ago)

Hey Sruthi...can u mail me ques u hv remembred...my id z mainapnifavoritehoon11@gmail.com

Is this solution Helpfull? Yes (1) | No (1)  

Rakesh  (11 years ago)

32.... 9 grids can be imagined as below

123
456
789

SO when it is rotated 180 it becomes

987
654
321

so positions (1,9);(2,8);(3,7);(4,6) must be same and as there are 2 colors its becomes 2 combinations each making total possible ways as 2*282*2=16 and in block 5 we can have 2 combinations for each of these 16 combinations.. so total possible combinations is 32

ANS:-32

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sneha sarkar  (11 years ago)

2^5=32
as no of combinations are 5...for each 2 ways of color are possible

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ranganathan  (11 years ago)

sruthi mail d questions to ranga91091@gmail.com plsss

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rohit  (11 years ago)

shruti plz mail e ques of tcs that were there in ur exam coz tcs is coming to my clg on 10th october
my id is jayvaid@yahoo.com

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sukrati pandey  (11 years ago)

CAn u plz mail me the questions u remember .. sukratiipandey@gmail.com

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vivek garg  (11 years ago)

sruthi mail d questions to vivekgarg3291@gmail.com plss
tcs is coming on 18

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Saddam Hussain  (11 years ago)

sruthi plz send the question to me at
saddam.2611@gmail.com

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