A piece of wood is cut into 3 pieces A, B, C. Are they of equal len

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and

A piece of wood is cut into 3 pieces A, B, C. Are they of equal lengths ?

(1)   The sum of length A and B is 2/3rd of the original piece

(2)    B and C are of same length.

A. Statement 1 alone is sufficient, but Statement 2 alone is not sufficient to answer the question
B. Statement 2 alone is sufficient, but Statement 1 alone is not sufficient to answer the question
C. Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
D. Each statement alone is sufficient

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