Latest Miscellaneous Company Exam Aptitude Question SOLUTION: how many rectangles in chessboard??explain

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how many rectangles in chessboard??explain

Asked In Miscellaneous Company Exam krishna yadav (10 years ago)

Solved murthy Read Solution (4)

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RAKESH  (10 years ago)

we have two chose two horizontal & two vertical lines from 9 line (8*8 square sheet) to form a rectangle,square is also a rectangle
so no. of rectangle=9c2*9c2=1296

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BITTU KUMAR SAH  (10 years ago)

use formula
no. of rectangles=[n(n+1)/2]^2
where n=8.
so ans=1296.

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murthy  (10 years ago)

For this we have to calculate
no. of squares of size 1*1(position)=8*8(dimension)=1
no. of squares of size 1*2(position)=7*7(dimension)=2
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no. of squares of size 1*8(position)=1*1(dimension)=8
similarly we need to calculate 2,3,4,5,6,7,and positions also
finally we get the answer 1296

short cut is (no of verticies)*(no of end points)/no of diagnols represented in each rectangle)
so the answer is (9*9)*(8*8)/4=1296. |

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renu lalwani  (10 years ago)

answer is 1296
number of rectangles is estimated by n^3 formula where n is 8 here.

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