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GMAT Exam

A city's chamber of commerce has the following goal for small businesses: revenue should be at least 20% greater than costs. The Venn diagram indicates that x is the number of small businesses that both in Year 1 and in Year 2 met the goal. The diagram also indicates that 53 - x is the number of small businesses that met the goal in Year 1 but not in Year 2, and that 47 - x is the number of small businesses that met the goal in Year 2 but not in Year 1.

Consider all positive integers a, 6, and c such that 135 is a factor of each of the expressions 15a, 254, and 30c. What is the greatest common factor of all possible sums. a+b+c?
The color red has been shown to induce greater aggression in people than the
color blue, Researchers conducted a study to determine whether such colorinduced aggression could influence the amount that consumers were willing to
pay for an identical product in online auction and online negotiation scenarios.
The researchers photographed a single item against each of four background
colors: blue, gray, white, and red. Using a computer, each participant in the study
viewed the item against exactly one of the four background colors. Half of the
participants were told the item was up for auction and were asked to submit their
highest bid for the item. The other half of the participants were told to negotiate
a price with the seller and were asked to offer the highest amount that they
would be willing to pay for the item.
The researchers expected that participants who viewed the red background
would typically behave more aggressively than those who viewed the blue
background. Among the auction group, the researchers hypothesized that more
aggressive participants would submit higher bids as they tried to beat other
potential bidders. Among the negotiation group, the researchers hypothesized
that more aggressive participants would make lower offers as they tried to
compete against the seller to get the best deal.
For each of the following statements about the researchers' study, select Yes if
that statement accurately reflects the information provided. Otherwise, select No.
