FREE FTCE General Knowledge Questions and Answers
The local university's tuition will increase by 15% starting in the fall of 2019. Which equation may be used to determine x, the new tuition for the autumn, if the present tuition is $3,500 per semester?
The increased tuition would be 100% of $3,500, or $3,500, if the price remained the same. When used in a calculation, 100% becomes 1; keep in mind that all percentages must be converted to decimal notation first. The $3,500 in tuition will increase by 15% since 100% + 15% = 1 + 0.15 = 1.15. The revised tuition rate would therefore be calculated as 1.15 * 3500. Keep in mind that a drop denotes a percentage less than 100%, an increase denotes a change greater than 100%, and 100% results in no change.
The most well-known criminal from the nineteenth century is Charles Peace. He is the kind of professional criminal who treats crime like a business and pursues it deliberately and relentlessly until it is successful. Here is a man, possessing many of those qualities which go to make the successful man of action in all walks of life, driven by circumstances to _______ them on a criminal career.
"Squander" is the perfect term to express Peace's propensity for crime despite his notable traits because this sentence portrays crime negatively.
Susie noticed a chart showing the weight ranges for golden retrievers while she was at the vet's office. She discovered that the weight of her own retriever was in the middle of the pack among the dogs on the chart, at about 70 pounds. Which statement is accurate?
When a dog's weight is in the 70th percentile, roughly 70 dogs out of 100 will weigh the same as the dog or less.
Lucy conducts research on how much television is watched by kids at home. She asks 100 parents questions about their kids' TV habits and vocabularies. She discovers that toddlers who watch no television have a vocabulary of 30 words on average. The average vocabulary of toddlers who watch two or more hours of television every day is 15. What inferences can she make?
A correlation, not a cause, can be demonstrated by an observational research like this. The right answer is thus that kids who watch TV have a smaller vocabulary than kids who don't.
The Jones family weighed cost, weather, and proximity to a beach while choosing a holiday destination.
The second portion of the text is now correctly changed to read, "proximity to a beach," which completes the list. The sentence will be parallel as a result.
After what he had done, Thomas was aware that his dismissal from school was .
An adjective with the meaning "about to happen" is imminent. In this instance, Thomas was aware that his actions would result in his expulsion from the institution.
At work, Daniel and a coworker got into a fight "because he didn't follow his directions properly."
It's not obvious if the last clause refers to Daniel or his colleague when the pronouns "he" and "his" are used. The only option that correctly resolves the sentence's pronoun ambiguity without adding any additional mistakes is this one.
It's' time for the soccer game to begin, but the home team can't find 'its' soccer ball. Did archetypes steal "it"? It's difficult to identify exactly what happened.
It is shortened to "it's" in the term "it's." The apostrophe is not necessary for the possessive or ownership-indicating word "its." It is important to use the contraction "it's" instead of "it's," as the author means to indicate, "It is difficult to tell exactly what happened."
In the summer, a woman lets out her beachfront home. She is composing a word of introduction for the family who will be renting her house this weekend. Which of the following is the ideal note's first line?
The purpose of these welcoming and to-the-point introductory sentences is to give the tenants the information they will need during their stay.
In an email to her supervisor, a worker asks to schedule a meeting with him. She intends to ask for a promotion in the meeting. Which of the following is the ideal email subject line?
With the help of this brief message, the employee is able to schedule a meeting and then, in line with the prompt, request a promotion.
A visitor to Mexico discovered that 10.00 US dollars were equivalent to 191.42 pesos. How much US dollars are equivalent to 300.00 pesos at this exchange rate?
Set up a proportion and solve: 10.00 US$/191.42 PES= x/300 PES 3000=191.42X X15.67 US$
Sally takes a marble out of the displayed bag, then takes another marble out without replacing the first. Which term accurately depicts the likelihood that he picked a red marble both times?
An illustration of a dependent event is this. P(red) equals 3/10 in the initial draw. The first marble, however, is not put back in the bag, making our sample consist of 9 marbles. On the second draw, P(red) = 2/9 if the first marble drawn was red and there were only two remaining red marbles. The likelihood of both happening is calculated as follows: 3/10 • 2/9.
With the exception of "the neighbor's" dog, which barks nonstop, we adore everything about our new home.
The verb have is correctly conjugated as a result. Although the word "neighbors" is plural, we are referring to "one of our neighbors," which is a singular subject, hence the verb form "had" must be used.
Simplify the following formula: 3x+2(3x2)+52(2x+1)
The values from the front of each set of parentheses must first be divided into the parentheses and multiplied accordingly, paying attention to the positive and negative signs: 3x+6x–4+5–4x–2. Then, similar phrases must be gathered and merged as follows: (3x+6x-4x)+(4+5-2). In the end, similar phrases can be combined: 5x–1.
Which phrase effectively uses modifiers?
The modifiers in this statement are all in the right place.
Pick the appropriate response to finish the statement and keep the parallel structure. We've made the decision, after much deliberation, to give up our employment, sell our possessions, and ____ for a year.
Pick the appropriate response to finish the statement and keep the parallel structure. We've made the decision, after much deliberation, to give up our employment, sell our possessions, and ____ for a year.
The pupils sold a dozen cupcakes for the bake sale. A batch of 12 cupcakes cost $0.98 to produce, and each cupcake was $0.50. Which phrase, when expressed in terms of c, best captures the profit (p) generated by the cupcake sales? Assume the pupils sold every cupcake they produced.
The price for 12 cupcakes is 12 x 0. The amount is multiplied by the overall number of cupcakes sold after the cost has been deducted.
What comes first in this equation's solution? 3(y+4)−2(3y−1)=10
"The equation can be transformed into this format thanks to the distributive property of multiplication. 3(y+4) = 3y+12, 2(3y1) = 6y+2, and 3(y+4) = 3y+12"
The median score on the most recent test, according to a math teacher, was 80%. Which of the following best describes how the outcome should be interpreted?
The median, or midpoint, of a data set is its value. If there is no middle number, the median is the average of the two numbers. It is computed by ordering the numbers from least to largest and locating the number in the center. For instance, the median is 2.5 in the data set 1, 2, 3, and 4 since 2.5 is the average of those two numbers. It can be assumed that if the median score is 80, then half of the students received scores below 80 and half received scores over 80.
Which of the following represents the same thing as 2x+4y3x+6?
2x and -3x are like terms in the expression and can be merged to form -x by adding the coefficients and keeping the variables the same. Since the 4y and 6 cannot be merged, they are left alone.
In a square room, the west wall is 13 feet long. What is the room's perimeter?
Four of a square's sides are of identical length. The total distance around an object is its perimeter. Use the equation P=4s, where P stands for a square's perimeter and s for one of its sides, to get a square's perimeter. P = 4(13) in this instance = 52 ft.