Commonly tested concepts-Quant - Problem Solving-Quiz - 1

A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?

• 8%

• 15%

• 45%

• 52%

• 56%

• 40% increase

• 12% increase

• 4% increase

• 12% decrease

• 24% decrease

According to the table, the number of fellows was approximately what percent of the total membership of Organization X?

• 9%

• 12%

• 18%

• 25%

• 35%

Last year Carlos saved 10 percent of his annual earnings. This year he earned 5 percent more than last year and he saved 12 percent of his annual earnings. The amount saved this year was what percent of the amount saved last year?

• 122%

• 124%

• 126%

• 128%

• 130%

Mia is buying potatoes to make mashed potatoes. The potatoes cost $2 per kilogram, and each serving of mashed potatoes requires 3 cups of peeled and boiled potatoes. Mia estimates that each potato loses 1/4th of its weight when it is peeled and boiled, and that 5 cups of peeled and boiled potatoes weigh 1 kilogram. Based on these estimates, which of the following represents the cost, in dollars, of the potatoes for m servings?

The owner of a house purchased 1 wall clock, 1 table lamp, and 1 bookshelf for her house. The regular price of the wall clock was 60% greater than the regular price of the table lamp, and the regular price of the bookshelf was twice the sum of the regular prices of the wall clock and the table lamp. The 3 items were sold at a 40% discount off their regular prices. The total price that the owner paid for the 3 items, excluding tax but after the 40% discount, was $78.00. What was the regular price of the wall clock, rounded to the nearest dollar?

• $17

• $21

• $27

• $33

• $35

A manufacturer shipped 500 gadgets to a store. The store sold 70% of the gadgets at a price that was 50% higher than their cost price. The store then offered a 70% discount on the new selling price and sold 60% of the remaining gadgets. If no other gadgets were sold, what percent of the store’s total cost for the gadgets was its gross profit?

• 10%

• 13%

• 17%

• 20%

• 27%

If $ 20,000 is invested in an account that earns 12% rate of interest per annum compounded semi-annually, then the interest earned after one year would be how much greater the interest earned if the $ 20,000 had been invested at an annual simple interest rate of 12%?

• $0

• $6

• $36

• $72

• $120

On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?

• 10.5%

• 12.5%

• 15%

• 22%

• 30%

After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?

• 1.5

• 2.25

• 3

• 3.25

• 4.75