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23 May 2020, 08:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (00:55) correct
9%
(00:45)
wrong
based on 376
sessions
History
Date
Time
Result
Not Attempted Yet
If there are 13 boys in club X, what is the average age of these boys?
(1) The oldest boy is 13 years old and the youngest boy is 9 years old.
(2) Eleven of the boys are either 10 years old or 11 years old.
ID: 700134
DS21210
(1) The oldest boy is 13 years old and the youngest boy is 9 years old.
(2) Eleven of the boys are either 10 years old or 11 years old.
ID: 700134
DS21210
23 May 2020, 08:24
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Bunuel
Target question: What is the average age of the 13 boys?
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 several scenarios that satisfy BOTH statements. Here are two:
Case a: The ages are {9, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 13}.
Case b: The ages are {9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 13}
Since the two sets have DIFFERENT sums, we know that the averages will be DIFFERENT
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
03 Sep 2021, 22:20
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given: a1, a2, ..., a13
Ask: avrg = ?
(1) The oldest boy is 13 years old and the youngest boy is 9 years old.
=> Max = 13, min = 9
=> definitely insufficient
(2) Eleven of the boys are either 10 years old or 11 years old.
a2, a3,...,a12 = 10 or 11
=> definitely insufficient
(1) & (2): we still dont know the other 11 numbers are 10 or 11
=> insufficient
=> E
Posted from my mobile device
Ask: avrg = ?
(1) The oldest boy is 13 years old and the youngest boy is 9 years old.
=> Max = 13, min = 9
=> definitely insufficient
(2) Eleven of the boys are either 10 years old or 11 years old.
a2, a3,...,a12 = 10 or 11
=> definitely insufficient
(1) & (2): we still dont know the other 11 numbers are 10 or 11
=> insufficient
=> E
Posted from my mobile device
