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# A piece of wood 7 feet long is cut into three pieces. What is the len

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Joined: 02 Sep 2009
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A piece of wood 7 feet long is cut into three pieces. What is the len  [#permalink]

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07 Feb 2018, 04:48
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68% (01:19) correct 32% (02:19) wrong based on 25 sessions

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A piece of wood 7 feet long is cut into three pieces. What is the length of each of the pieces?

(1) The length of the longest piece is equal to the sum of the lengths of the other two pieces.

(2) The length of the shortest piece is 6 inches.

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A piece of wood 7 feet long is cut into three pieces. What is the len  [#permalink]

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07 Feb 2018, 05:32
A piece of wood 7 feet long is cut into three pieces. What is the length of each of the pieces?

If the longest piece is x and the other two pieces are y and z
x + y + z = 7

(1) The length of the longest piece is equal to the sum of the lengths of the other two pieces.
If we know the length of the longest piece is equal to the sum length of the other two pieces,
we cannot clearly tell what the length of the individual pieces is?
Here x = y+z -> 2x = 7 -> x = 3.5 (Insufficient)

(2) The length of the shortest piece is 6 inches.
Just knowing the length of the shortest piece, we can't clearly give the length of
other two pieces. (Insufficient)

On combining the information from both the statements, we can clearly tell the size of
the three pieces.

From 1, x = 3.5 ft
From 2, z = 0.5 ft
y = 7 - (x+y) = 7 - (3.5+0.5) = 3

So, we can't clearly arrive at an unique value for all the three pieces. (Sufficient - Option C)
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Re: A piece of wood 7 feet long is cut into three pieces. What is the len  [#permalink]

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07 Feb 2018, 12:31
Hi Pushpikc,
I am not sure I understand the answer.

(1) Since we know that the longest piece is equal to the sum of the other pieces then can't we write:

a+b+c = 7 feet
(a+b)= c
Therefore 2c = 7 feet.
c = 3.5 feet.

Relationship of a and b is unknown, so insufficient.

(2) Lenght of the shortest piece is 6", so therefore 0.5 feet.

Still insufficient

(1+2).

Now, we already have C = 3.5 Feet, A or B = 0.5 feet, so therefore the other lenght = 7 - 0.5 - 3.5 = 7-4 = 3.

I would answer in this case C : Sufficient for (1+2)

Can you please comment if this is correct or not?

Thanks.
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Re: A piece of wood 7 feet long is cut into three pieces. What is the len  [#permalink]

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07 Feb 2018, 20:08
malcolm123 wrote:
Hi Pushpikc,
I am not sure I understand the answer.

(1) Since we know that the longest piece is equal to the sum of the other pieces then can't we write:

a+b+c = 7 feet
(a+b)= c
Therefore 2c = 7 feet.
c = 3.5 feet.

Relationship of a and b is unknown, so insufficient.

(2) Lenght of the shortest piece is 6", so therefore 0.5 feet.

Still insufficient

(1+2).

Now, we already have C = 3.5 Feet, A or B = 0.5 feet, so therefore the other lenght = 7 - 0.5 - 3.5 = 7-4 = 3.

I would answer in this case C : Sufficient for (1+2)

Can you please comment if this is correct or not?

Thanks.

malcolm123

Thanks for pointing that out. I think it should be Option C also. Corrected my solution - Thanks
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Re: A piece of wood 7 feet long is cut into three pieces. What is the len &nbs [#permalink] 07 Feb 2018, 20:08
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