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Bunuel
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What is the maximum number of 3x3 squares that can be formed from the 12 Nov 2021, 04:15
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64% (01:26) correct 36% (01:20) wrong based on 252 sessions

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What is the maximum number of 3x3 squares that can be formed from the squares in a 6x6 checker board?

A. 4
B. 6
C. 12
D. 16
E. 24

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D
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GMAT Focus 1: 735 Q90 V89 DI81
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What is the maximum number of 3x3 squares that can be formed from the 12 Nov 2021, 22:55
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Bunuel

What is the maximum number of 3x3 squares that can be formed from the squares in a 6x6 checker board?

A. 4
B. 6
C. 12
D. 16
E. 24
Show more

See the attached figure.
Attachment:
1.jpg
1.jpg [ 36.1 KiB | Viewed 6649 times ]
We have to fix just one vertex, and remaining three will be get fixed accordingly.

In the attached figure, we fix the top left vertex. It can be any of the four points in horizontal, 1, 2, 3 and 4, that is all except last four as we will not be left with 3 squares on right of it otherwise.
Similarly, vertically we have A, B C and D.

SO the vertex could be any of 4*4 or 16 points: A1, A2, A3, A4, B1, B2.......D3 and D4.

D
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What is the maximum number of 3x3 squares that can be formed from the 12 Nov 2021, 23:28
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Considering a block of 3 x 3 in the bottom left corner, we have the option to move 4 units right in X axis and 4 units up in Y axis. Hence 4 x 4 = 16 squares can be formed.
Option D
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What is the maximum number of 3x3 squares that can be formed from the 05 Jul 2023, 23:16
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chetan2u
Bunuel

What is the maximum number of 3x3 squares that can be formed from the squares in a 6x6 checker board?

A. 4
B. 6
C. 12
D. 16
E. 24

See the attached figure.
Attachment:
1.jpg
We have to fix just one vertex, and remaining three will be get fixed accordingly.

In the attached figure, we fix the top left vertex. It can be any of the four points in horizontal, 1, 2, 3 and 4, that is all except last four as we will not be left with 3 squares on right of it otherwise.
Similarly, vertically we have A, B C and D.

SO the vertex could be any of 4*4 or 16 points: A1, A2, A3, A4, B1, B2.......D3 and D4.

D
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could you elaborate a bit more on the vertex part? still unclear on the way of thinking for solving this question.
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What is the maximum number of 3x3 squares that can be formed from the 30 Jun 2026, 04:47
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