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# What is the greatest number of 4 x 4 squares that can be traced out

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Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128601 [0], given: 12180

What is the greatest number of 4 x 4 squares that can be traced out [#permalink]

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29 Sep 2017, 08:01
00:00

Difficulty:

(N/A)

Question Stats:

47% (00:42) correct 53% (00:57) wrong based on 17 sessions

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What is the greatest number of 4 x 4 squares that can be traced out along the existing line segments of the 8 x 8 checker board shown above?

(A) 8
(B) 10
(C) 16
(D) 25
(E) 36

[Reveal] Spoiler:
Attachment:

2017-09-29_1044_003.png [ 4.51 KiB | Viewed 236 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 128601 [0], given: 12180

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 1449

Kudos [?]: 592 [0], given: 16

Location: India
WE: Sales (Retail)
Re: What is the greatest number of 4 x 4 squares that can be traced out [#permalink]

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29 Sep 2017, 11:46
Attachment:

2017-09-29_1044_003.png [ 6.42 KiB | Viewed 113 times ]

As it is clearly visible in the figure, we can draw 5 4 X 4 Squares along the length of the board.
Similarly, we can draw these 5 squares across the width of the board as marked in the figure

The total number of 4 X 4 squares that can be drawn across the board is 5*5 = 25(Option D)
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Kudos [?]: 592 [0], given: 16

Re: What is the greatest number of 4 x 4 squares that can be traced out   [#permalink] 29 Sep 2017, 11:46
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