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23 Jun 2023, 08:00
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (01:25) correct
41%
(01:27)
wrong
based on 182
sessions
History
Date
Time
Result
Not Attempted Yet
The total price of books A, B, and C is $306. What is the median price of books A, B, and C?
(1) The price of book A is $102.
(2) The price of book B is $20 more than that of book C.
(1) The price of book A is $102.
(2) The price of book B is $20 more than that of book C.
Bunuel
A+B+C=306
Median Price?
(1) The price of book A is $102.
A=102,
102+B+C, But A should always be the middle term.
Hence, Sufficient
(2) The price of book B is $20 more than that of book C.
A+C+20+C=306
A+2C=286
Hence, Not sufficient
Hence, Opt (A) IMO
Edit:
houston1980 Thanks, I missed the point that there is no need to find the exact values of B and C.
23 Jun 2023, 14:07
Kudos
Bookmarks
Bunuel
Statement I
IMO, Option A is the answer.
$306 /3 = $102.
Therefore, the prices of the two remaining books can be either of the following:
- one price is less than $102 and the other price is greater than $102.
- each of the remaining books is priced at $102.
Whatever the scenario, the median price will still be $102. Therefore, Statement I alone is sufficient.
Statement II
Consider Price A = S102, price B = $92 and price C = $112
Consider price A = $80, price B = $100 and price C = $126
Therefore median price can not be determined using Statement II alone.
