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Arithmetic Reasoning

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 25 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

If the guard hits 60% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{60}{100} \) = \( \frac{60 x 25}{100} \) = \( \frac{1500}{100} \) = 15 shots

The center makes 50% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{15}{\frac{50}{100}} \) = 15 x \( \frac{100}{50} \) = \( \frac{15 x 100}{50} \) = \( \frac{1500}{50} \) = 30 shots

to make the same number of shots as the guard and thus score the same number of points.

Word Knowledge

Opportune most nearly means:

propitious

Suitable or convenient.

Word Knowledge

Darren dreaded carpooling with the egotist Shelly, who talked about herself nonstop.

blowhard

Self–important person.

Word Knowledge

Consuela's friends called her an aesthete when she claimed that Monet's paintings made her cry.

connoisseur

Person having or affecting sensitivity to beauty.

Word Knowledge

The words to the song are elusive, as the singer tends to mumble.

evasive

Hard to grasp.

Math Knowledge

The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 4. What is the volume?

The volume of a cube is height x length x width:

v = h x l x w
v = 5 x 1 x 4
v = 20

Automotive Information

Which of the following is not a function of the oil pan?

cools engine oil

The oil pan contains the engine oil reservoir of from four to six quarts of oil and feeds the oil pump through the oil pickup tube. An oil strainer floats at the top of the oil in the oil pan and screens debris from the oil before feeding it to the oil pump.

Shop Information

You need to secure two pieces of wood together while the glue between the dries. Which of the following tools is most appropriate?

clamp

A clamp applies pressure to prevent two objects from moving relative to each other, for example, to keep to pieces of wood together while the glue between the dries. A clamp is commonly made of metal and shaped like the letter C with a perpendicular flat-edged plate providing variable pressure between it and the top of the C as a screw to which it is attached is tightened and released.

General Science

Heredity is the passing on of physical or mental characteristics genetically from one __________ to another.

generation

Heredity is the passing on of physical or mental characteristics genetically from one generation to another. Heredity is made possible via large strings of chromosomes which carry information encoded in genes.

General Science

A person's genotype is their genetic makeup and includes:

both dominant and recessive alleles

A person's genotype is their genetic makeup and includes both dominant and recessive alleles. Phenotype is how the genes express themselves in physical characteristics.