Let B be the number of boys.
Let G be the number of girls.
Let B_f be the number of boys who failed the test.
Let G_f be the number of girls who failed the test.
We need to determine B_f.
Statement (1):
"321 girls didn't pass the test, which is the number of boys that did."
- This means G_f = 321.
- It also means that the number of boys who passed is 321:
B_p = 321
- Since the total number of boys is B, we get:
B = B_p + B_f = 321 + B_f
This equation alone is not enough to determine B_f, so Statement (1) is insufficient.
Statement (2):
"One-fifth of the people that went to the GMAT exam were boys who eventually didn't pass the test."
- Total number of people: 990
- Given that B_f = (1/5) * 990:
B_f = 198
This directly gives us the answer, so Statement (2) alone is sufficient.
Combining Both Statements:
Since Statement (2) alone was sufficient, we do not need Statement (1).
Final Answer:
B) Statement (2) alone is sufficient, but Statement (1) alone is not.