The features of five mobile communication devices are compared in the table. Each feature is rated from 0 to 5, with greater ratings indicating greater quality. A device (P) is said to be ratings-dominant over another device (Q) if P matches or exceeds the ratings of Q for every single feature in the table but Q does not match all of the ratings of P.

For each of the following devices, select Yes if the device is ratings-dominant over any of the other devices in the table. Otherwise, select No.

For each of Six ready-to-eat food products, the table shows a particular product tester’s ratings—ranging from strongly negative (1) to strongly positive (5)—in each of three categories.

Suppose that this product tester was to give ratings for a seventh ready-to-eat food product. For each of the following categories, select Yes if the addition of the ratings for the seventh product could change the median rating in that category. Otherwise, select No.

If the infinite sequence, M, is defined as M1 = 6, M2 = 96, M3 = 996, … , Mk = 10^k – 4, is every term in this sequence divisible by q, if q is an even number?

(1) q is less than 45.

(2) At least 2 terms in the sequence are divisible by q.

A primary concern among manufacturers polled in a 1998 survey was the inefficiency of trade promotions- inducements offered by manufacturers to retailers to encourage them to reduce retail prices temporarily so as to boost sales volume. Such inducements may include temporarily reduced costs of goods, free goods, or display allowances (fees manufacturers pay retailers to encourage them to allocate premium shelf space to a product). At the heart of manufacturers' dissatisfaction lies concern regarding widespread retailer opportunism. Although consumers know from experience the approximate frequency of promotional pricing, they do not typically have complete information about ongoing trade promotions in a given period, so retailers can profit by sometimes choosing not to pass along their own savings to their customers. Inefficient use of trade promotion dollars has prompted several large manufacturers to adopt an "everyday low price" policy for their goods, but at least one diaper manufacturer found it had to revert to its former pricing strategies in the face of increasing promotional competition from other brands. Adopting an alternative approach, some manufacturers have themselves advertised ongoing promotions. By informing at least some customers about promotions, manufacturers believe they can regulate retailer opportunism by increasing customers' propensity to search for discounted prices.

An investor will use $2,000 to purchase 10 shares of a certain stock at $200 per share. At the same time, she will invest another sum of money in a certificate of deposit (CD) that earns 2% simple interest annually. The investor would like to know how much money she should invest in the CD to meet her goal of net earnings (before any taxes or other fees) of $360 from the two investments at the end of one year.

In the table, select for CD assuming 10% gain the amount the investor should invest in the CD to meet her goal under the assumption that the stock price will have increased by 10% at the end of one year, and select for CD assuming 5% loss the amount she should invest in the CD to meet her goal under the assumption that the stock price will have decreased by 5% at the end of one year. Make only two selections, one in each column.

The chart above displays Forbes data for the distribution of billionaires by country in 2007, when there were 946 billionaires worldwide.

Fill each blank using the drop-down menu to create the most accurate statement on the basis of the information provided.

1. In 2007, the United States had approximately more billionaires than Russia, the United Kingdom, and Germany combined.

2. If the portion labeled “Other” on the chart above represented 21 countries with equal numbers of billionaires, then each of these countries would have approximately billionaires.

A business needs a $240,000 loan for one year and has two options to decide between. Option 1 is a fixed rate loan for the entire amount, with a simple annual interest rate of 5%. Option 2 involves two loans: a fixed rate loan for $190,000, with a simple annual interest rate of 4%, and a second fixed rate loan for $50,000, with a simple annual interest rate of r%. Both options have otherwise identical terms and require payment in full of interest and principal at the end of the year.

In the first column, identify the interest rate r% at which the two options require the same total interest payment. In the second column, identify the interest rate r% at which the annual interest on the $190,000 loan in Option 2 would be exactly twice the annual interest on the $50,000 loan. Make only two selections, one in each column.

A set of 7 different integers has a median of 11, range of 10, and average of 12. What is the highest possible value of the greatest integer in the set?

k is a positive integer. When k⁴ is divided by 32, the remainder is 0. Which of the following could be the remainder when k is divided by 32?

I. 2

II. 4

III. 6

Last Year a company gave bonuses to a number of employees, but only in the three amounts of $750, $1500, and $7,350. If the total amount of the bonuses was $64800 and each of the three amounts was given to at least one employee, what is the fewest number of bonuses that the company could have given to employees last year?­