Knewton Brutal Math Challenge - Week 5

by , Apr 21, 2010

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In a certain set of 300 stocks, each is priced at either $50, $100, or $150. If an investor bought 95 different stocks for 5,000 dollars, what was the price of the stock in the 80th percentile, when all 300 stocks are ordered by price from least to greatest?

(1) The average price of the 300 stocks is the same as the average number of stocks in the set of 300 that have each price.

(2) The mean, median, mode, and range of the 300 stock prices are all identical.

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

(D) EACH statement ALONE is sufficient.

(E) Statements (1) and (2) TOGETHER are NOT sufficient.