Pre-interview Screening Online Test

The given expression is (x-y)², which represents the square of the difference between x and y. Expanding this expression using the formula (a-b)² = a² - 2ab + b², we get x² - 2xy + y². Therefore, the correct answer is x² - 2xy + y².

The given expression is a product of three terms: (x+y), (x-y), and (x2-y2). The first two terms can be expanded using the difference of squares formula, which states that (a+b)(a-b) = a2-b2. Applying this formula to (x+y)(x-y) gives us x2-y2. Therefore, the correct answer is x2-y2.

The correct answer is "about". This is because the idiom "worry about" means to be concerned or anxious about something. In this context, if someone worries excessively about the GMAT (Graduate Management Admission Test), it implies that they are overly stressed or anxious about it, which can lead to developing an ulcer.

The idiom "regard as" means to consider or think of someone or something in a particular way. In this context, art historians view the Mona Lisa as one of the greatest works of art. This suggests that they hold a high opinion of the painting and recognize its significance and artistic value.

The correct answer is "as". This idiom is used to compare two qualities or characteristics of a person or thing. In this case, it is comparing the level of intelligence and cunningness of someone. The phrase "not so much smart as cunning" implies that the person may not be highly intelligent, but they are very cunning or crafty.

The correct answer is "as." In this idiom, "as" is used to indicate that the punishment given to the speaker is the same as the punishment given to the person they are speaking to. It implies that both individuals received equal consequences for their actions.

This idiom suggests that Democrats and Republicans in the US are not significantly different from each other. It implies that despite their political affiliations, they share many similarities in their beliefs, values, or actions.

The idiom "have a dispute over" is commonly used to indicate a disagreement or argument between individuals regarding a particular topic or issue. In this case, the men had a dispute over money implies that they were in conflict or disagreement about money matters.

The word "that" is used to complete the idiom "He was so late that he missed the main course." This idiom is used to express that someone was extremely late, to the point where they missed an important event or opportunity. The word "that" is necessary to connect the two parts of the sentence and convey the cause-and-effect relationship between being late and missing the main course.

The idiom "far superior" is used to compare two things and express that one is of much higher quality or better than the other. In this context, the correct completion of the idiom is "to," indicating that the speaker's pasta sauce is of much higher quality or better than their mother-in-law's sauce.

The correct answer is "with". The idiom "contrast with" is used to compare two things that are different from each other. In this context, it means that the speaker's father likes to compare the speaker's grades to their brother's grades to highlight the differences between them.

The idiom "I can distinguish day from night" means that the person is able to clearly differentiate or recognize the difference between two things that are completely opposite or contrasting. In this case, it implies that the person is able to easily tell the difference between day and night.

The phrase "but" is used to contrast the two characteristics mentioned in the sentence. It implies that although the review was not mean-spirited, it was still flippant. The word "but" is commonly used in such contexts to indicate a contradiction or opposition between two ideas.

The measure of the side of an Isoceles Right Triangle with a hypotenuse of x√2 is x. In an Isoceles Right Triangle, the two legs are congruent, which means they have the same length. Therefore, since the hypotenuse is x√2, each leg must have a length of x.

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The given expression can be simplified by multiplying the terms inside the parentheses. This results in x^2 - 4x + 4. Since there are no other terms or variables present, the expression simplifies to just 1.

The first distribution sextile of a normal bell curve represents the range of values that fall within the lowest 16.66% of the distribution. In other words, it is the range from the lowest value up to the value that is approximately 16.66% of the way through the distribution. Therefore, the percentage for the first distribution sextile is 2%. The number "2" is not a percentage but simply a value that represents the cutoff point for the first distribution sextile.

12.5% can be written as a fraction by dividing it by 100. Simplifying 12.5/100 gives us 1/8. Therefore, the fraction equivalent of 12.5% is 1/8.

To find the percentage of a fraction, we can multiply the fraction by 100. In this case, multiplying 5/6 by 100 gives us 500/6, which is approximately 83.33%. Therefore, the correct answer is 83.33%.

The given value of 1.4 is an approximation of the square root of 2. The square root of 2 is an irrational number, meaning it cannot be expressed as a fraction or a terminating or repeating decimal. The decimal representation of the square root of 2 goes on infinitely without a pattern. However, 1.4 is a close approximation of the square root of 2 and is commonly used in calculations where an exact value is not necessary.

The given answer, 1:1:√2, represents the ratio of the sides of an isosceles triangle. In an isosceles triangle, two sides are equal in length, and the third side, which is the base, may have a different length. The ratio 1:1:√2 indicates that the two equal sides have a length of 1 unit each, while the length of the base is √2 units. This ratio is commonly used to describe the sides of a 45-45-90 degree triangle, where the two equal angles are 45 degrees each and the right angle is 90 degrees.

The given expression (x+y)(x+y) can be expanded using the distributive property. Multiplying each term in the first set of parentheses by each term in the second set of parentheses, we get x*x + x*y + y*x + y*y. Simplifying this further, we combine like terms to obtain x^2 + 2xy + y^2. Therefore, the correct answer is x^2 + 2xy + y^2.

The word "as" is used to indicate that the conclusion is the same as or equivalent to the main point of the argument. It suggests that the conclusion is a direct reflection or representation of the main point, emphasizing their close relationship.

The commercials were obviously targeted at teenage boys. This means that the commercials were specifically designed and aimed towards capturing the attention and interest of teenage boys. The word "at" indicates the direction or focus of the targeting, implying that the commercials were intended for this particular demographic.

The idiom "that" is used to refer to something previously mentioned or understood. In this context, it is used to refer to the hypothesis that aspartame causes brain tumors. The statement is saying that this specific hypothesis has not been proven yet.

The phrase "to be" is the correct completion for the idiom. It suggests that the time he has spent impersonating Elvis is believed or thought to be longer than the time Elvis himself spent performing. This implies that the person has spent a significant amount of time impersonating Elvis, possibly indicating a strong dedication or passion for the act.

The correct answer is "of" because the idiom "native of" is used to indicate someone's place of origin or birth. In this case, it means that Mel Gibson was born in Australia or is originally from Australia.

The correct answer is "but also". This phrase is used to indicate that the person being described is not only beautiful, but also possesses the quality of being smart. It emphasizes that the person has multiple positive qualities.

The given ratio is "ratioRight∆:5:x:13". We are given that the value of "ratioRight∆" is 12. To complete the ratio, we need to find the value of "x". Since the ratio is in proportion, we can set up the equation "ratioRight∆/5 = x/13" and solve for "x". By cross-multiplying, we get "12*13 = 5x", which simplifies to "156 = 5x". Dividing both sides by 5, we find that "x = 31.2". However, since the options given are whole numbers, the closest whole number to 31.2 is 31. Therefore, the correct answer is 12.

The slope of a line that is perpendicular to another line with slope x/y can be found by taking the negative reciprocal of the given slope. The negative reciprocal of x/y is -y/x. This means that the slopes of the two lines are negative reciprocals of each other, and they will intersect at a right angle.

The second distribution sextile of a normal bell curve refers to the range of values that fall between the 14th and 15th percentiles. Therefore, the percentage of data within this range is 14%. Additionally, the number 14 is also a valid answer as it represents the specific value within the distribution that corresponds to the 14th percentile.

The third distribution sextile of a normal bell curve represents the percentage of data points that fall within the third segment of the curve. Since the bell curve is symmetrical, each sextile represents an equal portion of the data. Therefore, the third distribution sextile represents 34% of the total data points, which is also indicated by the number 34.

The fifth distribution sextile of a normal bell curve represents the percentage of data points that fall within that specific range. In this case, the answer is 14% or 14, indicating that 14% of the data points in the distribution fall within the range of the fifth sextile.

The answer to the question is 2% because the term "sextile" refers to dividing a distribution into six equal parts. In a normal bell curve, each sextile represents approximately 16.67% of the total distribution. Therefore, the sixth sextile would represent the last 16.67%, which is equivalent to 2%. The second answer, 2, is not a percentage and does not accurately represent the question.

The formula for rate of speed is given by r = d/t, where r represents the rate of speed, d represents the distance traveled, and t represents the time taken. This formula is derived by dividing the distance traveled by the time taken to calculate the rate at which an object is moving.

The correct answer is "of". This is because the idiom "think of it more of a promise than a threat" means to consider something as more of a commitment or assurance rather than a warning or intimidation. The word "of" is used to indicate the nature or characteristic of the thing being compared, in this case, emphasizing the positive aspect of the situation.

Christopher Columbus is often credited with the discovery of America, but the statement also acknowledges that Native Americans were present in America before Columbus. The word "with" in this context implies that Columbus is being recognized or given credit for the discovery, even though it is acknowledged that others were there before him.

When we add two even numbers together, the result will always be an even number. This is because even numbers are divisible by 2, and when we add two numbers that are divisible by 2, the sum will also be divisible by 2. Therefore, the correct answer is "Even".

The formula for a vertical line is x=c, where c represents the x-coordinate of the x-intercept. This means that the line will have a constant x-value throughout and will intersect the x-axis at the point (c,0).

The given expression (za)(zb) can be simplified by multiplying the terms inside the brackets. This results in za * zb, which can be further simplified by adding the exponents of the common variable 'z'. Therefore, the correct answer is za+b.

The formula for work is given by w=rt, where w represents the work done, r is the rate at which the work is done, and t represents the time taken to complete the work. This formula states that the work done is equal to the product of the rate and the time.

The kangaroo is native to Australia because it is found naturally and originates from this country.

When two even numbers are multiplied, the result is always an even number. In this case, the two numbers being multiplied are "Even" and "Even", so the answer is "Even".

The formula for the volume of a cylinder is πr2h, where π represents the mathematical constant pi, r represents the radius of the cylinder's base, and h represents the height of the cylinder. This formula calculates the amount of space that can be occupied within the cylinder.

The fourth distribution sextile of a normal bell curve represents the percentage of data points that fall within the fourth section of the curve. In a normal distribution, each section represents one standard deviation from the mean. Since the total area under the curve is 100%, each section represents 100%/6 = 16.67%. Therefore, the fourth distribution sextile represents 16.67% of the data points, which can be rounded to 17% or approximated as 34% when considering both the fourth and fifth sections together.

The formula for the probability of event A and the probability of event B is given by multiplying the probability of event A (Pa) with the probability of event B (Pb). This is because when two independent events occur, the probability of both events occurring together is equal to the product of their individual probabilities. Therefore, the correct answer is (Pa)(Pb).

The correct answer is "to be." This idiom is used to indicate that someone or something is perceived or regarded as a certain way. In this context, it means that his friends do not believe that the ring he bought at the auction is actually Jackie O's; they think he was tricked into thinking it was.

The formula to determine the length of the diagonal of a box is d2 = l2 + w2 + h2. This formula is derived from the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In the case of a box, the diagonal is the hypotenuse of a right-angled triangle formed by the length, width, and height. Therefore, to find the length of the diagonal, we need to square the length, width, and height, and then add them together.

The formula for the probability of event A or the probability of event B is Pa+Pb-(PaPb). This formula takes into account the individual probabilities of event A and event B, and subtracts the probability of both events happening at the same time (PaPb). This is because when calculating the probability of A or B, we want to avoid counting the intersection of A and B twice.

The given equation x1/2 = √x is asking for the value of x when it is raised to the power of 1/2, which is the same as taking the square root of x. Therefore, the answer to the equation is √x.

The given answer, x!/a!b!c!d!,X!/A!B!C!D!, represents the probability of the different combinations of racers finishing in the specified positions. The numerator x! represents the total number of ways the racers can finish the race. The denominator a!b!c!d! represents the number of ways the racers in each group can finish in their respective positions. The same logic applies to the second fraction, X!/A!B!C!D!. Therefore, the answer calculates the probability of the different combinations of racers finishing in the specified positions.

The formula for the area of an equilateral triangle is b^2√3/4. This formula is derived from the fact that an equilateral triangle has all sides equal, so the base (b) is also equal to the length of any side. To find the area, we need to square the base (b^2) and multiply it by the square root of 3 (√3). Finally, we divide the result by 4 to get the area of the equilateral triangle.

The correct answer is "as to be." This completes the idiom "She is so beautiful as to be exquisite." The phrase "as to be" is used to emphasize the extreme beauty of the person being described. It suggests that the person's beauty is so extraordinary that it reaches the level of being exquisite.

The coordinates of the y-intercept of a line are given by (-b/m, 0). This means that the x-coordinate is -b/m and the y-coordinate is 0. The y-intercept is the point where the line intersects the y-axis, and since the y-axis has a y-coordinate of 0 for all points, the y-coordinate of the y-intercept is always 0. Therefore, the answer (-b/m, 0) is correct.

The formula for the surface area of a cylinder is 2(πr^2) + (2πrh). This formula includes two terms: 2(πr^2) represents the area of the two circular bases of the cylinder, while (2πrh) represents the area of the curved surface of the cylinder. By adding these two terms together, we get the total surface area of the cylinder.

The ratio of the sides of a 30/60/90 right triangle is 1:√3:2. In a 30/60/90 triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle. Therefore, the ratio of the sides is 1:√3:2.

When we add an even number and an odd number, the result will always be an odd number. This is because even numbers can be represented as 2n, where n is an integer, and odd numbers can be represented as 2n+1. So, when we add an even number (2n) and an odd number (2n+1), we get 2n + 2n + 1 = 4n + 1, which is always an odd number.

When two odd numbers are added together, the result is always an even number. This is because odd numbers can be represented as 2n+1, where n is any integer. So, when two odd numbers (2n+1) and (2m+1) are added together, the result can be written as 2n+1+2m+1 = 2(n+m+1), which is an even number. Therefore, the answer to the given question is "Even".

The given answer is "Even" because when we multiply an even number with any number, the result is always an even number. In this case, "Even" is multiplied with both "Even" and "Odd", and the result is "Even" in both cases. Therefore, the answer remains "Even".

When multiplying two odd numbers, the result is always an odd number. This is because an odd number can be represented as 2n+1, where n is an integer. When we multiply two odd numbers, we get (2n+1)(2m+1) = 4nm + 2n + 2m + 1. Since 4nm, 2n, and 2m are all even numbers, the result will be an odd number plus an even number, which is still an odd number. Therefore, the product of two odd numbers is always odd.

Art historians consider the Mona Lisa to be one of the greatest works of art.