GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
What is the maximum number of 3x3 squares that can be formed
[#permalink]
25 Mar 2019, 05:07
25 Mar 2019, 05:07
Expert Reply
1
Bookmarks
00:00
Question Stats:
41% (01:44) correct
58% (00:54) wrong based on 29 sessions
Hide Show timer Statistics
Attachment:
#GREpracticequestion What is the maximum number of 3x3 squares.jpg [ 55.31 KiB | Viewed 11870 times ]
What is the maximum number of 3x3 squares that can be formed from the squares in the 6x6 checkerboard to the right?
(A) 4
(B) 6
(C) 12
(D) 16
(E) 24
Re: What is the maximum number of 3x3 squares that can be formed
[#permalink]
23 Nov 2019, 13:22
23 Nov 2019, 13:22
1
Let's consider the picture above.
For each row we can pick exactly 4 different groups of 3 consecutive boxes.
In the same manner, for each column we can select 4 different groups of 3 consecutive boxes.
Therefore, snce we are required the maximum number of 3x3 squares of the chessboard,
we need to combine our combinations:
4 * 4 = 16
Answer is D.
Hope is clear.
For each row we can pick exactly 4 different groups of 3 consecutive boxes.
In the same manner, for each column we can select 4 different groups of 3 consecutive boxes.
Therefore, snce we are required the maximum number of 3x3 squares of the chessboard,
we need to combine our combinations:
4 * 4 = 16
Answer is D.
Hope is clear.
Re: What is the maximum number of 3x3 squares that can be formed
[#permalink]
23 Nov 2019, 13:57
23 Nov 2019, 13:57
sal60 wrote:
Let's consider the picture above.
For each row we can pick exactly 4 different groups of 3 consecutive boxes.
In the same manner, for each column we can select 4 different groups of 3 consecutive boxes.
Therefore, snce we are required the maximum number of 3x3 squares of the chessboard,
we need to combine our combinations:
4 * 4 = 16
Answer is D.
Hope is clear.
For each row we can pick exactly 4 different groups of 3 consecutive boxes.
In the same manner, for each column we can select 4 different groups of 3 consecutive boxes.
Therefore, snce we are required the maximum number of 3x3 squares of the chessboard,
we need to combine our combinations:
4 * 4 = 16
Answer is D.
Hope is clear.
Can you elaborate a little bit. I do not know how you get the 4*4
