there are 4 horizontal and 4 vertical lines, parallel and equidistant to one another on a board. what is the maximum number of rectangle and squares that can be formed?

• 4 horizontal for making rectangle we select 2 line from horizontal and two line from vertical for rectangle we need 4 sides 2 from horizontal 2 from vertical 2 line from horizontal in 4c2 ways 2 line from vertical in 4c2 total no of rectangle 4c2×4c2=(4×3)/2×(4×3)/2=6×6=36 ANS 36
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• There are thirteen 2 digit consecutive odd numbers .if 39 is the mean of the first five such numbers.
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• it is different let x be the first odd no then x+2 second x+4third x+6 fourth x+8 fifth and so on now according to question mean of first 5 is 39 so (x+x+2+x+4+x+6+x+8)÷5=39 (5x+20)=39×5=195 5x=195-20 5x=175 x=175/5=35 then first 35,37,39,41,43,45,47,49,51,53,55,57,59 are 13 consecutive odd nos it is solution of second solution
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