Concentrated orange juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated orange juice, at the most, can fit into 3 wooden boxes?
Answer(s): A
You want to waste as little amount of space as possible, therefore make the height of the box 11 and fit 4 boxes at the bottom so you lose only 1 inch of margin at the top and on one of the sides.You can see that 8 tubes can fit into one box thus 24 tubes fit into 3 boxes.
A certain car’s price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased her price by $1,500. If the price of the car in 1996 was $22,000, what is the car’s price in 2002?
Answer(s): C
The price of the car decreased by 2.5% every year on a course of 6 years. That means that the price of the car in 2002 is 15% lower than the original + $1500 of new investments.The new price is ($22,000 x 0.85 = 18,700 + 1500 = $20,200).
The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was $11,500?
The price in 1990 was 11,500. In 1996 the price is (11,500 x 1.13 = 12,995). The price we are looking for, in 2002, is (12,995 x 1.2 = $15,594).
The apartment on King-Williams street is an asset that its value is tramping about.From the year 1973 to 1983 it’s value decreased by 16% and from 1983 to 1993 it’s value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
Be careful, the value of the asset didn’t stay the same after the two changes in the value. In the first 10 years, the value decreased by 16% (40,000 x 0.84 = 33,600). Then, in the next ten years the value increased by 16% (33,600 x 1.16 = 38,976). Therefore, the answer is C.
The value of a “Tin-Rin” stock in the stock market decreased by 15% in the last two years.The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?
Start from the top, after a 7% increase the price of the stock is $440. 440 are 107% of the price this year (440/107 x 100 = 411.215).Two years ago the price was 15% higher, therefore (411.215 x 1.15) is approximately $473.
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