Data Sufficiency - Prices of Three Cameras

Question

What are the individual prices of three cameras?

Statement I: The three cameras have an average price of $172. **Statement II:** Two are identical and sold for$ 332 together.

Choose: (a) if the question can be answered by one statement alone, but cannot be answered by using the other statement alone. (b) if the question can be answered by using either statement alone. (c) if the question can be answered by using both the statements together but cannot be answered by using either statement alone. (d) if the question cannot be answered even by using both the statements together.

Accepted Answer

C. Let the prices of three cameras be $x, y, z$. Statement I: $\frac{x+y+z}{3} = 172 \Rightarrow x+y+z = 516$. Statement II: Two are identical, say $x = y$, and $x + y = 332 \Rightarrow 2x = 332 \Rightarrow x = y = 166$. Combining both: $166 + 166 + z = 516 \Rightarrow z = 184$. Hence, individual prices are $166, 166, 184$. Both statements together are sufficient.

Answer

if the question can be answered by one statement alone, but cannot be answered by using the other statement alone.

Answer

if the question can be answered by using either statement alone.

Answer

if the question can be answered by using both the statements together but cannot be answered by using either statement alone.

Answer

if the question cannot be answered even by using both the statements together.

Data Sufficiency - Prices of Three Cameras

Explanation

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