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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