Question:

G, P and S are animal species. What is the average life span in years of S?
I. The average life span of S is twice that of P and \(\frac{4}{5}\)that of G.
II. The average life span of G is 30 yr longer than that of P and 10 yr longer than that of S
Decide whether the data in the statements are sufficient to answer the question.

Updated On: Sep 24, 2024
  • if Statement I alone is sufficient but Statement II alone is not sufficient to answer the question
  • if Statement II alone is sufficient but Statement I alone is not sufficient to answer the question
  • if both statements taken together are sufficient to answer the question but neither Statement alone is sufficient
  • if Statements I and II together are not sufficient, and additional data is needed to answer the question
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The Correct Option is C

Solution and Explanation

Statement 1:
\(S=2P\)
\(S = \frac{4}{5} G\)
we cannot determine.
Statement 2:
\(G=P+30\)
\(G=S+10\)
we cannot determine.
Both statements:
\(S = \frac{4}{5} G \quad \text{and} \quad S = \frac{4}{5} G\)
So,
\(S = \frac{4}{5} (S + 10)\)
\(\frac{1}{5} S = 8\)
\(S=40\)
So, we can determine using both the statements together. So the correct option is (C)
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