WMSUCET Practice Test 1

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Questions and Answers

What does the author suggest successful Caltech applicants should have shown in their previous experience?

  • Passion for science and technology (correct)
  • Leadership in extracurricular activities
  • Interest in liberal arts
  • Experience in volunteer work

Why did Kurosawa show interest in the author's project?

  • It featured Western cinema
  • It included animation techniques
  • It was about his films (correct)
  • It focused on actors from Hollywood

What does the word 'vindication' imply for Kurosawa in the context provided?

  • An expression of anger
  • A sense of accomplishment (correct)
  • A search for approval from others
  • A public acknowledgment of failure

What does the phrase 'I believe I thought only of you' suggest about the speaker's feelings?

<p>Exclusivity of attention (C)</p> Signup and view all the answers

What does the word 'inducements' most nearly mean in the context provided?

<p>Incentives (B)</p> Signup and view all the answers

What emotion did Mr. Darcy feel about Elizabeth's reaction?

<p>Disappointment (A)</p> Signup and view all the answers

What is the pit being referred to in line 2?

<p>An emotional struggle (A)</p> Signup and view all the answers

What does the word 'alluded' most nearly mean in this context?

<p>Hints at indirectly (B)</p> Signup and view all the answers

What does the author convey by stating he has 'not winced nor cried aloud'?

<p>He is showing resilience (C)</p> Signup and view all the answers

What is the mode of the set of numbers {0, 2, 3, 4, 4, 5, 6}?

<p>4 (C)</p> Signup and view all the answers

If the average score required to pass is 75, what score must a student achieve on their final test given their current average is 72 from three tests?

<p>84 (C)</p> Signup and view all the answers

What is the probability of achieving a perfect score on a 3-item test with 5 choices per item?

<p>$ rac{1}{125}$ (C)</p> Signup and view all the answers

How long would a rocket traveling at 3 miles per second take to travel a distance of 10,800 miles?

<p>3 hours (D)</p> Signup and view all the answers

What could be Gabriel's current age if he is 3 years younger than Frank and the total of their ages is 17?

<p>7 (D)</p> Signup and view all the answers

If Chris takes 6 hours to paint a wall, how quickly can he and Gretchen, who paints it in 3 hours, complete the job together?

<p>3 hours (B)</p> Signup and view all the answers

How many students can take honors courses in the School of Management if 25% of 18,000 applicants are accepted and only the top 10% of those can take honors?

<p>4500 (B)</p> Signup and view all the answers

How does Snapshot B support the fact that Sweden is a booming economy?

<p>It emphasizes growth in startup businesses. (D)</p> Signup and view all the answers

What happened to the number of startups between 1984 and 1999?

<p>They significantly increased. (B)</p> Signup and view all the answers

According to the passage, why are taxes high in Sweden?

<p>To support universal healthcare. (B)</p> Signup and view all the answers

What is the main premise of the science of eugenics?

<p>Improving genetic quality in populations. (A)</p> Signup and view all the answers

Which of the following is not mentioned as a contributing factor to the low acceptance rates in the top colleges?

<p>The socioeconomic status of applicants. (D)</p> Signup and view all the answers

How does the author of Passage B refute the belief of the followers of eugenics?

<p>By showing failures in historical eugenics programs. (A)</p> Signup and view all the answers

Which of the following is the main difference between Passage A and B?

<p>Passage A focuses on genetic engineering, while Passage B focuses on eugenics. (A)</p> Signup and view all the answers

What is the acceptance rate of Ateneo if 27,813 students took the ACET and only 2,836 were admitted?

<p>4.5% (D)</p> Signup and view all the answers

According to Passage A, what is the F.D.A.'s stance on the safety of genetically modified salmon for raising and consumption?

<p>They deem it safe with some regulations. (D)</p> Signup and view all the answers

What is the simplified form of the expression $x^2 - (x+5)(x-5)$?

<p>$x^2 + 25$ (C), $x^2 + 25$ (D)</p> Signup and view all the answers

Given the equation $(x-y) imes (y-x) = -4$, what could be a possible value of x?

<p>$2$ (B)</p> Signup and view all the answers

What is the value of $f(g(x(y)))$ given $f(g) = x^4 + x^2$, $g(x) = x + 6$, and $x(y) = y-1$ for $y=5$?

<p>$176$ (B)</p> Signup and view all the answers

If the tuition fee is $150,000 for two semesters and increases by 5% annually, approximately what will it cost for one semester in 5 years?

<p>$193,488$ (D)</p> Signup and view all the answers

What is the x-intercept of the equation $y=17x+51$?

<p>$-3$ (C)</p> Signup and view all the answers

What is the measure of the central angle $ heta$ if the inscribed angle is defined as $ heta$?

<p>$2 \theta$ (B)</p> Signup and view all the answers

If $x^3 \times x^5 = y$ and $x=4$, what is the value of y?

<p>$4096$ (D)</p> Signup and view all the answers

If 4 of the students who play Ultimate play basketball too, how many students play basketball only?

<p>4 (B)</p> Signup and view all the answers

What is the median of the set of numbers {1, 2, 3, 4, 5, 6}?

<p>3.5 (D)</p> Signup and view all the answers

How many points does a basketball team need to score every 30 seconds to tie the game by the 10th minute if they are 40 points behind?

<p>8 points (D)</p> Signup and view all the answers

How long will it take for a plane traveling at 200 miles per hour to cover 10,000 miles?

<p>25 hours (C)</p> Signup and view all the answers

How many more people need to be vaccinated in a village of 12,000 to increase the vaccination from 20% to 40%?

<p>2,400 (D)</p> Signup and view all the answers

What is the minimum amount of 5% chlorine solution needed to dilute 15 liters of 20% chlorine solution to a 10% solution?

<p>15 liters (C)</p> Signup and view all the answers

What is the price of a pair of shoes after a 20% discount followed by an additional 15% discount on the new price?

<p>3,400 pesos (B)</p> Signup and view all the answers

If 10 cows can produce 20 liters of milk per week, how long will it take 2 cows to produce the same amount?

<p>2 weeks (D)</p> Signup and view all the answers

What will be the approximate ratio of females to males if you add the 6000 male students of the Grade School and High School to the 8000 students of the Loyola Schools?

<p>4:3 (D)</p> Signup and view all the answers

What is the 6th term of the series: 1, 5, 11, 17, 33?

<p>47 (C)</p> Signup and view all the answers

Given the circle's equation $(x - 4)² + (y − 6)² = 49$, what is the equation of the line that intersects the origin and the center?

<p>y = 3x (D)</p> Signup and view all the answers

What ordered pair has the same y-value as the point (-3,0) in the parabola $y = x + 2x - 3$ with an axis of symmetry at $x = 1$?

<p>(-3,0) (C)</p> Signup and view all the answers

If $3x + 4 = n$, what is $6x + 8$ equal to?

<p>2n (C)</p> Signup and view all the answers

What is the area of a circle inscribed in a square with diagonals that are $4 ext{√}2$ units long?

<p>8Ï€ (B)</p> Signup and view all the answers

What is the longest segment that can fit into a cube with sides 4 cm long?

<p>4√3 cm (B)</p> Signup and view all the answers

What is the average speed of the train throughout its journey if it travels 9000 km in 4 days and then 3000 km in 1 day?

<p>300 km/h (D)</p> Signup and view all the answers

Flashcards

Ottoman Empire's beginnings

The Ottoman Empire started in Anatolia (modern-day Turkey).

12th longest river

The 12th longest river in the world is not provided in this context.

Seven Years' War - Manila & Luzon

During the Seven Years' War, a country controlled Manila and Luzon.

Not part of the UK?

The item not part of the United Kingdom is not provided in this context.

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Gates of Hell in Dante's Inferno

The inscription on the gates of hell, according to Dante's work, is not defined here.

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Reading FC Manager

The current manager of Reading Football Club is not provided in the text.

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Cuban revolutionary (T-shirt)

The communist revolutionary who led a revolution in Cuba and died in Bolivia is Fidel Castro.

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Last Chinese Dynasty

The last dynasty to rule China was the Qing Dynasty.

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Equation of a circle

A circle's equation is in the form (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

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Find the 6th term of series

To find a term in a series, look for a pattern in the increments between numbers.

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Inverse Proportion

A relationship where as one quantity increases the other decreases and vice versa. The product of the two quantities remains constant

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Surface area of a cylinder

The sum of the areas of the two circular bases and the curved surface of the cylinder.

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Logarithmic Equation

An equation containing logarithms; solving requires understanding logarithm properties.

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Diagonal of a rhombus

Rhombuses have intersecting diagonals that bisect each other at right angles; their lengths relate to the side lengths and area.

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Point of intersection of two lines

The point where two lines meet on a graph.

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Internal angle of a regular decagon

A regular decagon has 10 equal sides and 10 equal angles. Find each internal angle.

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Swedish Snapshot A vs. B

Snapshot A highlights Sweden's high taxes and social welfare system, while Snapshot B showcases its booming economy and entrepreneurial spirit.

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People's Republic of Entrepreneurs

This term refers to Sweden's thriving entrepreneurial ecosystem, where many citizens are involved in starting businesses.

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Why high taxes in Sweden?

Sweden has high taxes to fund its comprehensive social welfare system, providing universal healthcare, education, and childcare.

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Successful Country's Key

According to the passage, a successful country requires a strong economy and a supportive social system.

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Social Democrats' Response

The Swedish Social Democrats adapted to the changing needs of the country by embracing entrepreneurship and fostering a robust economy.

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Genetically Modified Salmon

The passage discusses genetically modified salmon that grows faster and larger than natural salmon.

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FDA's Stance on Genetically Modified Salmon

The FDA has approved the safety of genetically modified salmon for consumption and raising.

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Eugenics

Eugenics is a discredited scientific belief that aims to improve the human species through selective breeding.

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What does "Invictus" mean?

The title "Invictus" likely means "unconquered" or "invincible." It refers to the speaker's unyielding spirit and determination in the face of adversity.

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What does the author say he has not done?

The author states he has not "winced nor cried aloud." This means he has not shown physical or emotional weakness in the face of hardship.

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What is the speaker's attitude towards the 'menace of the years'?

The speaker describes himself as "master of his fate" despite the challenges of aging. He maintains control and doesn't let time define his spirit.

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What does the author mean by 'beyond'?

The "beyond" refers to the unknown future, the challenges and hardships that lie ahead. The speaker faces it with a sense of defiance.

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Mode

The mode of a set of numbers is the number that appears most frequently in the set.

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Probability of Perfect Score

The probability of getting a perfect score is calculated by multiplying the probability of getting each item correct.

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Rocket's Travel Distance

To find the distance traveled, multiply the speed by the time.

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Interest Calculation

To calculate the amount of money after a certain period with compound interest, use the formula: A = P(1 + r/n)^(nt)

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Median of a Set

The middle value in a sorted set of numbers. If there are two middle values, the median is the average of those two.

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Average Points Needed

The total points required divided by the number of intervals. In this case, the team needs to score 40 points in 600 seconds (10 minutes), so the average is 40/600 points per second.

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Probability of a Sum

The number of successful outcomes divided by the total possible outcomes. In this case, there are 3 ways to get a sum of 12 (6+6, 5+7, 4+8) out of 36 possible outcomes (6 sides x 6 sides).

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Speed and Distance

Distance = Speed x Time. To find the time, rearrange the formula: Time = Distance / Speed.

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Combined Work Rate

Find the individual rates of work, add them together, and multiply by the time they worked together. Then subtract this from the total work to find the remaining time.

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Percentage Increase

Calculate the difference between the desired percentage and the current percentage, then multiply that difference by the total population to find the number needed.

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Chlorine Solution Concentration

Use the formula: (Amount1 x Concentration1) + (Amount2 x Concentration2) = (Total Amount x Total Concentration)

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Investment Earnings

Calculate the income from the first investment, then subtract it from the desired earnings. The remaining amount needs to be invested at the higher interest rate.

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Caltech Admissions Criteria

Caltech seeks applicants who demonstrate a strong passion for science and technology, often shown through extracurricular activities or personal projects.

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Passage 6 Tone

The initial tone of the passage is respectful and appreciative, highlighting the achievements of Akira Kurosawa.

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Passage 6 Main Idea

The passage explores the career and legacy of renowned film director Akira Kurosawa, focusing on his determination, artistic vision, and impact on Japanese cinema.

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Kurosawa and Funding

When local organizations and companies refused to fund Kurosawa's films, he took a bolder approach by seeking international support and partnerships.

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Kurosawa's Title

Kurosawa gained the title 'Tenno' or 'Emperor' as a sign of respect and recognition for his profound influence and innovative contributions to the film industry.

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Vindication for Kurosawa

The author describes Kurosawa's success as a vindication, meaning it was a justification or proof of his talent and the value of his work, despite initial skepticism or doubts.

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Darcy's Inducement

Darcy's statement in line 2 suggests that he believes his wealth and social standing could persuade Elizabeth to accept his proposal.

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Darcy's Embarrassment

Darcy felt embarrassed by Elizabeth's rejection and her sharp criticism of his character, revealing a deeper emotional sensitivity than he initially displayed.

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Study Notes

WMSUCET Practice Test 1

  • This is a practice test booklet for the WMSUCET exam.
  • The booklet contains multiple-choice questions, including sections on Language Proficiency, General Information, Numerical Ability, and Verbal Analogy.
  • The test is designed to assess various skills and knowledge areas.

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