Latest TCS Aptitude Question SOLUTION: in a rectangle 8 vertical and 4 horizontal lines are drawn find the number of rectangle formed

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(#M40153287) TCS Numerical Ability question number of rectangles Keep an EYE

in a rectangle 8 vertical and 4 horizontal lines are drawn find the number of rectangle formed

Asked In TCS RAHUL KUMAR (8 years ago)

Solved EKANSH AGARWAL Read Solution (14)

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Read Solution (14) :

Riya Singh  (8 years ago)

8 vertical lines plus the 2 lines of the existing rectangle(as its mentioned in the question "in a rectangle") accordingly 4 plus 2 horizontal lines.
therefore
10C2*6C2= 675 and if its asked for the new rectangle formed than
675-1=674 (excluding the existing rectangle)

Is this solution Helpfull? Yes (29) | No   

EKANSH AGARWAL  (8 years ago) Best Solution

6C2 * 10C2=675

Is this solution Helpfull? Yes (13) | No (7)  

pranab  (8 years ago)

8 vertical lines
4 horizontal
now,2 horizontal and 2 vertical already there in rectangle
so,
H=8+2=10
V=4+2=6
number of horizontal and vertical lines required to make rectangle=2 each
so
10 C 2 * 6 C 2= 675

Is this solution Helpfull? Yes (12) | No   

Piyali Senapati  (8 years ago)

8c2*4c2=168

Is this solution Helpfull? Yes (7) | No (2)  

vikash kumar singh  (8 years ago)

as relates this to formula ....
no.of vertical lines are 8 means m=8 and no. of horizontal line n=4
so,(1+2+3+........+m)(1+2+.....+n) = (1+2+3+.......+8)(1+2+....+4) = (36)(10) = 360
so no.of rectangle formed is 360

Is this solution Helpfull? Yes (3) | No (4)  

shagufta  (8 years ago)

vertical lines=8
horizontal lines=4
one triangle is alredy exisi i:e,2 vertical lines and 2 horizontal lines.
so, vertical lines=10
horizontal lines=6
then,
10C2*6C2=675

Is this solution Helpfull? Yes (1) | No   

abhinaya m  (8 years ago)

7*3= 21rectangles

Is this solution Helpfull? Yes | No (4)  

Atul  (8 years ago)

8 verticle means 9 colunm 4 horizontal means 5 =9*5=45

Is this solution Helpfull? Yes | No (4)  

rabi  (8 years ago)

ractange with 4 hor and 2 verticle line=6
ractange with 4 hor and 3 verticle line=6*2=12
ractange with 4 hor and 4 verticle line=12*2=24
similry
ractange with 4 hor and 8 verticle line=192*2=384

Is this solution Helpfull? Yes | No (2)  

Ravi teja  (8 years ago)

9*5=45 small rectangles formed

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RAKESH KUMAR YADAV  (8 years ago)

8c2*4c2=168

Is this solution Helpfull? Yes | No (2)  

Snigdha Yadav  (8 years ago)

46 RECTANGLES

Is this solution Helpfull? Yes | No (1)  

md shabbir ahmad  (8 years ago)

there are 8 vertical lines and 4 horizontal lines
m=8,n=4
number of rectangle formed is (1+2+3+-------+m )(1+2+3+4+---------+n)
using this formula
ans wil be
360

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puneet sharma  (8 years ago)

if ractangal has m row and n column then no of rectangal is given by [1+2+3+.........m][1+2+3+...n] so 15*45=645

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