Latest TCS Aptitude Question SOLUTION: there is a 12*6 grid..grid contains 1*1 squares..what is d total number of squares..(consider 1*1,2*2,3*3,4*4,5*5,6*6 size squares as well).

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(#M40011019) TCS question word problem Keep an EYE

there is a 12*6 grid..grid contains 1*1 squares..what is d total number of squares..(consider 1*1,2*2,3*3,4*4,5*5,6*6 size squares as well).

Asked In TCS harmit parel (12 years ago)

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Read Solution (14) :

Balakrishnan M  (12 years ago)

1*1 squares = 12*6 = 72
2*2 squares = 11*5 = 55
3*3 squares = 10*4 = 40
4*4 squares = 9*3 = 27
5*5 squares = 8*2 = 16
6*6 squares = 7*1 = 7
Total squares = 217

Is this solution Helpfull? Yes (60) | No (34)  

HRDARJI  (12 years ago)

Friends By taking 13C2 * 7C2, you are also selecting rectangles. If number of rectangles were asked ans would have been 1638. BALAKRISHNAN is right. ans will 1*1 squares = 12*6 = 72
2*2 squares = 11*5 = 55
3*3 squares = 10*4 = 40
4*4 squares = 9*3 = 27
5*5 squares = 8*2 = 16
6*6 squares = 7*1 = 7
Total squares = 217

Is this solution Helpfull? Yes (34) | No (7)  

Lovejeet Singh  (12 years ago)

Ans: 1638
I am Sure ...!!!

Is this solution Helpfull? Yes (30) | No (43)  

prashanth reddy  (12 years ago)

for an M*N grid,the total no of squares will be (nm(n+1)(m+1))/4

Is this solution Helpfull? Yes (16) | No (8)  

Nikhil Mahapatra  (12 years ago)

12 * 6 Grid

12 => 1+2+3+4+5+6+7+8+9+10 => 78
6 => 1+2+3+4+5+6 => 21

78 * 21 => 1638

Is this solution Helpfull? Yes (10) | No (15)  

krati  (12 years ago)

ans: 105
for 1*1=72
2*2=18
3*3=8
4*4=3
5*5=2
6*6=2
5*5=2

Is this solution Helpfull? Yes (8) | No (28)  

Sanket Kumar  (12 years ago)

13C2 * 7C2 = 1638

Is this solution Helpfull? Yes (7) | No (12)  

J Rama Krishna Reddy  (12 years ago)

ANS is 217
12*6+11*5+10*4+9*3+8*2+7*1=217

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

RAHUL KUMAR  (12 years ago)

[156* 42]/4=1638.....

Is this solution Helpfull? Yes (4) | No (12)  

Mrigs ghosh  (12 years ago)

there is no such solution for finding squares in a m*n grid, for finding squares in a grid the grid needs to be square as well
for n*n grid no. of squares = (n*(n+1)*(2n+1))/6

Is this solution Helpfull? Yes (3) | No (5)  

palak shah  (12 years ago)

@rahul can u explain how it is 1638??

Is this solution Helpfull? Yes (2) | No (4)  

RAVI KIRAN  (12 years ago)

please Answer the question with explanation

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yash  (12 years ago)

13C2*7C2=1638

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

ALOK KUMAR  (12 years ago)

ans is 106.
72/(1*1)=72
72/(2*2)=18
72/(3*3)=8
72/(4*4)=4 with 8 as remainder(only maximum sq. POSSIBLE)
72/(5*5)=2 with 22 as reminder...........".............
72/(6*6)=2
total sq.=72+18+8+4+2+2=106

Is this solution Helpfull? Yes (1) | No (3)  

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