Quote:
At the beginning of a five-day trading week, the price of a certain stock was $10 per share. During the week, four of the five closing prices of the stock exceeded $10. Did the average closing price of the stock during the week exceed its price at the beginning of the week?
(1) The stock's closing price on Tuesday was the same as its closing price on Thursday.
(2) The sum of the stock's highest and lowest closing prices during the week was 20.
Is the average price for the week > $10?
4 of 5 days in week price > $10
1 of 5 days in week price < $10
(1) The stock's closing price on Tuesday was the same as its closing price on Thursday: insufic.
T=TH then M, W or F had 1 day < $10 and the remaining days > $10
MTWTHF={0,11,11,11,11}=44/5=8.8<$10
MTWTHF={0,20,20,20,20}=80/5=16>$10
(2) The sum of the stock's highest and lowest closing prices during the week was 20: sufic.
H+L=20, so if M=0 and T=20, then the remaining days will > $10
MTWTHF={0,20,10.01(3)}=(20+30.03)/5=10…>$10 always
Answer (B)