Averages: The Average Pie
An internet supplier has four international cables. Each cable contains four sub-cables, which in turn are composed of four intertwined copper wires. Each cable is color-coded differently—cyan, indigo, magenta, sapphire.
What was the average communication transfer rate per international cable last month?
(1) The sub-cables in the cyan and indigo cables transferred 48 gigabytes of information last month.
(2) The sub-cables in the indigo and sapphire cables transferred 26 gigabytes of information last month.
Correct.
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Statement (1) provides information regarding the cyan (C) and indigo (S) sub-cables only, but you do not have information regarding the other two cables. So (1) Insufficient → BCE.
Statement (2), again, provides information regarding the indigo (I) and sapphire (S) cables, but you are missing information regarding the other two cables. So (2) Insufficient → CE.
Consider Statements (1) and (2) together. Note that the indigo cable is mentioned twice in both statements, but the magenta (M) cable is not mentioned at all. So you cannot find the total information regarding the transfers from all four cables. This means (1)+(2) Insufficient → E.
Incorrect.
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Statement (1) provides information regarding the cyan (C) and indigo (S) sub-cables only, but you do not have information regarding the other two cables. So (1) Insufficient → BCE.
Incorrect.
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Statement (2) provides information regarding the indigo (I) and sapphire (S) cables, but you are missing information regarding the other two cables. So (2) Insufficient → ACE.
Incorrect.
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If you chose this answer choice, it means you thought Statements (1) and (2) hold sufficient information to answer the question: the total number of transferred information in all four sub-cables.
Too bad you fell for a cheap GMAC trick. GMAC knows you want everyone to be happy, and so you long for harmony for all sub-cables, wherever they are. Look closely at the statements. There is no information whatsoever regarding the magenta sub-cable, and so there is insufficient information to answer the question asked.
Incorrect.
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Statement (1) provides information regarding the cyan (C) and indigo (S) sub-cables only, but you do not have information regarding the other two cables. So (1) Insufficient → BCE.
Statement (2), again, provides information regarding the indigo (I) and sapphire (S) cables, but you are missing information regarding the other two cables. So (2) Insufficient → CE.
Statement (1) alone is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
Statement (2) alone is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
Both Statements (1) and (2) together are sufficient to answer the question asked, but neither statement alone is sufficient to answer the question asked.
Each statement alone is sufficient to answer the question asked.
Statements (1) and (2) together are not sufficient to answer the question asked, and additional data specific to the problem is needed.
