BrentGMATPrepNow
Bunuel
What is the average (arithmetic mean) annual salary of the 6 employees of a toy company?
(1) If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.
(2) The range of the 6 annual salaries is $31,500.
(DS03615)
Target question: What is the average (arithmetic mean) annual salary of the 6 employees of a toy company?When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the
target question. So, I’m going to head straight to……
Statements 1 and 2 combined There are infinitely many scenarios that satisfy BOTH statements. Here are two:
Case a: The six salaries are
$6,300, $12,600, $18,900, $25,200, $31,500 and $37,800 (note: range = $37,800 - $6300 = $31,500). In this case, the answer to the target question is
the average annual salary is $22,050Case b: The six salaries are
$12,600, $18,900, $25,200, $31,500, $37,800 and $44,100 (note: range = $44,100 - $12,600 = $31,500). In this case, the answer to the target question is
the average annual salary is $28,350Since we can’t answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
BrentGMATPrepNowTo see if my approach is correct, I realized that both statements say the same thing.
For statement 2, I did:
# 1: n + 6,300
# 2: (n + 6,300) + 6,300
# 3: (n + 6,300) + 6,300 + 6,300
# 4: ...
# 5: ...
# 6: (n + 6,300) + (6,300*5)
Then I took the range of these six numbers --> (n +6,300) - [(n+6,300) + (6,300*5) = 31,500 --> 31,500 = 31,500
I ruled it off on this basis because we already know from statement 1 that any value can be taken on.
Thank you in advance for your help