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## WIN Cohort 4 Aptitude Test

Answer ALL questions below to the best of your ability using ONLY yourself and your own research. You are ALLOWED to use the internet and a calculator to help answer these questions by looking at formulas or similar examples, but please do not copy the exact answers from another person or consult any other people for help on this test. You are more than welcome to record your answers and come back to this test (just don't hit submit!), or spend several days going through the test. We will only grade one submission from each candidate, so whichever submission is your first (and hopefully only) submission will be graded and recorded. Our expectation is that you will take your time, use the internet to help, and complete this test entirely on your own. This test can potentially be done over the course of several days, although someone with a strong math background could potentially finish this entire test in under an hour. There is no time limit so do not feel pressured to finish early. Take as long as you need! Good luck! And don't cheat by getting help from someone else (son/daughter, friend, literally anyone) or you will be immediately disqualified ðŸ™‚

The professor is a noteworthy intellect, and as a teacher, she shows more (i)___________ than her colleagues, whose teaching skills are (ii)___________ procedure.

While more (i)___________ professors continue to insist that video games will never be a proper object of study, the rising generation of more heterodox academics is inclined to view such talk as positively (ii)___________

The practice of purchasing books was primarily a (i)___________of the well-to-do until the late 1800s, when the increased popularity of dime novels, the expansion in the number of bookstores, and the introduction of the paperback made books (ii)___________the average man.

Although she was such a bad-mannered child that she was sent to a boarding school, as an adult she is the very model of ___________.

Politicians sometimes appear to act in a manner that is almost ___________; however, when all the information is released after the fact, it is apparent that they were acting according to a deliberate plan.

"When the maker of Megapower, a vitamin supplement, modified its formula two years ago, Tasmania, an island off the coast of New Zealand, suffered a decrease in its export earnings. Tasmaniaâ€™s only export, kiwi fruit, constitutes a substantial portion of the world supply of that fruit. Researchers concluded that the old Megapower formula contained natural kiwi extract, but the new formula does not."
Which of the following, if true, gives the strongest support for the researchersâ€™ claims?

"Given the current economic climate, universal healthcare is an impossibility in the United States. More than half of all U.S. households report feeling overwhelmed by expenses, and many people are struggling to find additional sources of income. Funding such a massive program would require significant tax increases, adding to the financial burden of many individuals. The employer-sponsored healthcare system currently in place keeps taxes low, protecting our nationâ€™s economy." Which of the following, if true, would most weaken the argument above?

"Several companies have recently switched at least partially from memos written by hand on printer paper to memos written on a computer and sent electronically with no use of paper at all. Therefore, less printer paper will be used as a result of these changes than would have been used if these companies had continued to use handwritten memos." Which of the following, if true, most strengthens the argument above?

When studying human history, one must be aware that the ___________ between historical periods are arbitrary; certainly none of the people alive at the time were aware of a shift from one era to another.

Robert Ingersoll, although virtually unknown today, was ___________ orator of the nineteenth century; people traveled hundreds of miles to hear his eloquent speeches.

Twenty percent of the sweaters in the store are white. Of the remaining sweaters, 40 percent are brown, and the rest are blue. If there are 200 sweaters in the store, then how many more blue sweaters than white sweaters are in the store?

All first-year students at a university must take calculus, English composition, or both. If half of the 2,400 first-year students at the university take calculus and half do not, and one-third of those who take calculus also take English composition, how many students take English composition?

Oil is pumped from a well at a rate of 500 gallons per hour. How many gallons of oil are pumped from the well in 3 hours and 15 mins?

A pet store sells only dogs and cats. In March, the store sold twice as many dogs as cats. In April, the store sold twice the number of dogs that it sold in March, and three times the number of cats that it sold in March. If the total number of pets the store sold in March and April combined was 500, how many dogs did the store sell in March?

A bowl contains 15 marbles, all of which are either red or blue. If the number of red marbles is one more than the number of blue marbles, what is the probability that a marble selected at random is blue?

The price of a jacket is reduced by 10%. During a special sale, the price is discounted by another 10%. The special sale price is what percent less than the original price of the jacket?

At a certain factory, each employee either drives to work or takes the bus. The ratio of employees who take the bus to work to those who drive to work is 2:5. If 120 employees drive to work, how many employees work at the factory?

During a certain three-month period, a company reported a $3,500 profit. If, over the next three-month period, the company reported $6,000 profit for those months, by approximately what percent did the companyâ€™s profit increase?

(âˆš5 - âˆš3)^2

3x + 2y = 24 and 7y/2x = 7 then y = ?

56 is what percent of 80?

During a sale, a store decreases the prices on all of its scarves by 25 to 50 percent. If all of the scarves in the store were originally priced at $20, which of the following prices could be the sale price of a scarf? Indicate all such prices.

Mara has six more than twice as many apples as Robert and half as many apples as Sheila. If Robert has x apples, then in terms of x, how many apples do Mara, Robert, and Sheila have combined?

Quantity A = (2^-4) / (4^-2); Quantity B = (âˆš64) / (-2^3)

x^2 + 2x - 15 = 0; Quantity A = 2; Quantity B = x

Flour, eggs, yeast, and salt are mixed by weight in the ratio 11 : 9 : 3 : 2, respectively. How many pounds of yeast are there in 20 pounds of the mixture?

Set F = {4, 2, 7, 11, 8, 9}; Quantity A = The range of Set F; Quantity B = The median of set F

The average (arithmetic mean) of seven numbers is 9 and the average of three of these numbers is 5. What is the average of the other four numbers?

A scalene right triangle has a hypotenuse of 10. The other two sides are 6 and x. What is the value of x?

r â‰ 0; Quantity A = The circumference of a circle with radius r ; Quantity B = The perimeter of a square with side r

A piece of twine with length of t is cut into two pieces. The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece. Which of the following is the length, in yards, of the longer piece?

Brook wants to hang three paintings in a row on her wall. She has six paintings to choose from. How many arrangements of paintings on the wall can she create?

Nicole needs to form a committee of 3 from a group of 8 research attorneys to study possible changes to the Superior Court. If two of the attorneys are too inexperienced to serve together on the committee, how many different arrangements of committees can Nicole form?

Quantity A = (4 + âˆš6) (4 - âˆš6); Quantity B = 10

A bookstore will only order books that come in complete cases. Each case has 150 books and costs $1,757; Quantity A = the number of books that can be ordered for $10,550; Quantity B = the number of books that can be ordered for $12,290

If 1/12 < x < 1/6, then which of the following could be the value of x? Select all that apply.

Quantity A = 1/16 + 1/7 + 1/4; Quantity B = 1/4 + 1/16 + 1/6

There are two assumptions for this problem. 1. "a and b are both integers" and 2. "a^2 = b^3"; Quantity A = a; Quantity B = b

z^2 = 144; Quantity A = z; Quantity B = âˆš144

5x - 2y = 2y - 3x; Quantity A = x; Quantity B = y

What is the slope of a line that passes through the points (-4, 5) and (1, 2)?

Quantity A = The standard deviation of the set {1, 3, 5}; Quantity B = The standard deviation of the set {8,10,12}

There are two assumptions for this problem. 1. "5 is r percent of 25" and 2. "s is 25 percent of 60"; Quantity A = r ; Quantity B = s

There are two assumptions for this problem, 1. "1/3 + 2/5 = x" and 2. "y = 3"; Quantity A = y/x; Quantity B = 4

In the xy-plane, square ABCD has vertices at A(3, 7), B(3, 12), C(8, x), D(8, y). What is the area of the square?