Latest Elitmus Aptitude Question SOLUTION: floor of Room of TIPU is made of square tiles 1m sq. each .Diagonal tiles are BLACK and rest are WHITE .Er. Vesvesvaraya notice that some group of the number of black tiles are cou

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(#M40019202) ELITMUS question quant Keep an EYE

floor of Room of TIPU is made of square tiles 1m sq. each .Diagonal tiles are BLACK and rest are WHITE .Er. Vesvesvaraya notice that some group of the number of black tiles are count wrongly . 101,111,121,131,141. how many tiles of the above numbers are wrong?

Asked In Elitmus suryakant kumar (10 years ago)

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venkatesh  (10 years ago)

given that floor is square
so consider it as nxn matrix
so if 'n' is odd then there are 2n-1 diagonal squares
if 'n' is even then there are 2n diagonal squares
clearly if n is odd then in contains odd num of diagonals
so given all num's are odd
so 2*n-1 = 101 -> n = 51 odd RIGHT
2*n-1 = 111 -> n = 56 even WRONG
2*n-1 = 121 -> n = 61 odd RIGHT
2*n-1 = 131 -> n = 66 even WRONG
2*n-1 = 141 -> n = 71 odd RIGHT
SO 2 NUM'S 111 AND 131 ARE WRONG

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shekhar pankaj  (10 years ago)

111 and 131 (total of 2) will be counted wrong beacuse...
case 1 for m*n there can't be square tiles place....
so m*n should be eual ...ie m=m ...Draw fig in ur rough and find out why..

if n=odd diagonal tiles =2n-1 so here 101,121,141 satisft the condn

for n= even diagonal tiles = 2n no case here..
so 131 n 111 fails any condn here ....

check these results by sketching grids on pages of 2*2 3*3 4*4 5*5 it will jsutify ur answers..Good luck

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suryakant kumar  (10 years ago)

answer is 111, 131, This two number are counted wrongly....
make the odd number of matrix. e.g. 3x3,5x5,7x7 has diagonal tiles are 5,9,13 respectively .... and so on....where you get 51x51=101 diagonal black tiles... so this count exist.. but above 111,131 dosent come in the sequence...

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khushbu singh  (10 years ago)

not getting the ques.

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sushmita nigam  (10 years ago)

question is ambiguous

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