Pre-interview Screening Online Test

1. Complete the idiom:
I must have either chocolate ice cream __ carrot cake to complete a great meal.

The correct answer is "or" because the sentence is stating that the speaker must have either chocolate ice cream or carrot cake to complete a great meal. The word "or" is used to present two options and indicates that the speaker can choose one of the two options mentioned.

Explanation

The correct answer is "or" because the sentence is stating that the speaker must have either chocolate ice cream or carrot cake to complete a great meal. The word "or" is used to present two options and indicates that the speaker can choose one of the two options mentioned.

Submit

2. Complete the idiom:
Because Jenny was grounded, she could neither leave the house __ use the telephone.

The idiom "neither...nor" is used to express two negative conditions or choices. In this context, the sentence implies that Jenny was not allowed to leave the house and also not allowed to use the telephone because she was grounded. The word "nor" serves as a conjunction to connect the two negative conditions, emphasizing that both actions were prohibited for her.

Explanation

The idiom "neither...nor" is used to express two negative conditions or choices. In this context, the sentence implies that Jenny was not allowed to leave the house and also not allowed to use the telephone because she was grounded. The word "nor" serves as a conjunction to connect the two negative conditions, emphasizing that both actions were prohibited for her.

Submit

3. Complete the idiom:
When given the choice, I choose both ice cream __ cake.

The idiom "When given the choice, I choose both ice cream and cake" means that the person prefers to have both options rather than choosing just one. It implies that they want to enjoy the benefits or pleasures of both ice cream and cake simultaneously.

Explanation

The idiom "When given the choice, I choose both ice cream and cake" means that the person prefers to have both options rather than choosing just one. It implies that they want to enjoy the benefits or pleasures of both ice cream and cake simultaneously.

Submit

4. Complete the idiom:
The chimpanzee is much more intelligent __ the orangutan.

The given correct answer "than" completes the idiom "The chimpanzee is much more intelligent than the orangutan." The word "than" is used in comparative sentences to indicate that one thing is greater, better, or more than another. In this case, it is comparing the intelligence of the chimpanzee and the orangutan, stating that the chimpanzee is more intelligent.

Explanation

The given correct answer "than" completes the idiom "The chimpanzee is much more intelligent than the orangutan." The word "than" is used in comparative sentences to indicate that one thing is greater, better, or more than another. In this case, it is comparing the intelligence of the chimpanzee and the orangutan, stating that the chimpanzee is more intelligent.

Submit

5. 87.5% = what fraction?

The fraction 7/8 is equivalent to 87.5%. To convert a percentage to a fraction, we divide the percentage value by 100 and simplify the fraction if possible. In this case, 87.5 divided by 100 equals 0.875. Simplifying 0.875 gives us 7/8, which is the equivalent fraction.

Explanation

The fraction 7/8 is equivalent to 87.5%. To convert a percentage to a fraction, we divide the percentage value by 100 and simplify the fraction if possible. In this case, 87.5 divided by 100 equals 0.875. Simplifying 0.875 gives us 7/8, which is the equivalent fraction.

Submit

6. 3/8 = what percent?

The given question asks for the percentage equivalent of the fraction 3/8. To find this, we can convert the fraction to a decimal by dividing the numerator (3) by the denominator (8), which equals 0.375. To express this as a percentage, we multiply the decimal by 100. Therefore, 0.375 multiplied by 100 equals 37.5%. So, the correct answer is 37.5%.

Explanation

The given question asks for the percentage equivalent of the fraction 3/8. To find this, we can convert the fraction to a decimal by dividing the numerator (3) by the denominator (8), which equals 0.375. To express this as a percentage, we multiply the decimal by 100. Therefore, 0.375 multiplied by 100 equals 37.5%. So, the correct answer is 37.5%.

Submit

7. 5/8 = what percent?

The fraction 5/8 can be converted to a percent by dividing the numerator (5) by the denominator (8) and then multiplying by 100. This calculation gives us 0.625, which when multiplied by 100 equals 62.5%. Therefore, 5/8 is equal to 62.5%.

Explanation

The fraction 5/8 can be converted to a percent by dividing the numerator (5) by the denominator (8) and then multiplying by 100. This calculation gives us 0.625, which when multiplied by 100 equals 62.5%. Therefore, 5/8 is equal to 62.5%.

Submit

8. 7/8 = what percent?

The given question asks for the percentage equivalent of the fraction 7/8. To find this, we divide the numerator (7) by the denominator (8) and multiply the result by 100. This calculation gives us 87.5%. Therefore, the correct answer is 87.5%.

Explanation

The given question asks for the percentage equivalent of the fraction 7/8. To find this, we divide the numerator (7) by the denominator (8) and multiply the result by 100. This calculation gives us 87.5%. Therefore, the correct answer is 87.5%.

Submit

19. 9³=?

The given equation "93=?" implies that 93 is equal to something. The answer provided is 729, which means that 93 is equal to 729.

Explanation

The given equation "93=?" implies that 93 is equal to something. The answer provided is 729, which means that 93 is equal to 729.

Submit

20. 0!=?

The value of 0! (0 factorial) is 1. Factorial is a mathematical operation that multiplies a given number by all the positive integers less than it. By convention, 0! is defined as equal to 1. This is because there is only one way to arrange zero objects, and that is by not arranging them at all. Therefore, the answer to 0! is 1.

Explanation

The value of 0! (0 factorial) is 1. Factorial is a mathematical operation that multiplies a given number by all the positive integers less than it. By convention, 0! is defined as equal to 1. This is because there is only one way to arrange zero objects, and that is by not arranging them at all. Therefore, the answer to 0! is 1.

Submit

21. 1!=?

The factorial of a number is the product of all positive integers less than or equal to that number. In this case, 1! (read as "1 factorial") is equal to 1 because there is only one positive integer less than or equal to 1, which is 1 itself. Therefore, the answer is 1.

Explanation

The factorial of a number is the product of all positive integers less than or equal to that number. In this case, 1! (read as "1 factorial") is equal to 1 because there is only one positive integer less than or equal to 1, which is 1 itself. Therefore, the answer is 1.

Submit

22. 2!=?

The question is asking for the factorial of 2, which is denoted by 2!. The factorial of a number is the product of all positive integers less than or equal to that number. In this case, 2! is equal to 2, because it is the product of 2 and 1, the only positive integers less than or equal to 2.

Explanation

The question is asking for the factorial of 2, which is denoted by 2!. The factorial of a number is the product of all positive integers less than or equal to that number. In this case, 2! is equal to 2, because it is the product of 2 and 1, the only positive integers less than or equal to 2.

Submit

23. 3!=?

The question is asking for the value of 3 factorial, which is denoted as 3!. Factorial is a mathematical operation that multiplies a number by all positive integers less than it. In this case, 3! is calculated as 3 x 2 x 1, which equals 6.

Explanation

The question is asking for the value of 3 factorial, which is denoted as 3!. Factorial is a mathematical operation that multiplies a number by all positive integers less than it. In this case, 3! is calculated as 3 x 2 x 1, which equals 6.

Submit

24. 4!=?

The given question is asking for the value of 4 factorial, which is denoted as 4!. Factorial means multiplying a number by all the positive integers less than it down to 1. So, 4! is calculated as 4 x 3 x 2 x 1, which equals 24.

Explanation

The given question is asking for the value of 4 factorial, which is denoted as 4!. Factorial means multiplying a number by all the positive integers less than it down to 1. So, 4! is calculated as 4 x 3 x 2 x 1, which equals 24.

Submit

25. 5!=?

The question is asking for the value of 5 factorial, which is denoted as 5!. Factorial is a mathematical operation that multiplies a number by all positive integers less than it down to 1. Therefore, 5! is calculated by multiplying 5 by 4, 3, 2, and 1. This results in the value of 120.

Explanation

The question is asking for the value of 5 factorial, which is denoted as 5!. Factorial is a mathematical operation that multiplies a number by all positive integers less than it down to 1. Therefore, 5! is calculated by multiplying 5 by 4, 3, 2, and 1. This results in the value of 120.

Submit

26. 6!=?

The question is asking for the value of 6 factorial, which is represented by 6!. Factorial is a mathematical operation where you multiply a number by all the positive integers less than it. In this case, 6! is equal to 6 x 5 x 4 x 3 x 2 x 1, which equals 720.

Explanation

The question is asking for the value of 6 factorial, which is represented by 6!. Factorial is a mathematical operation where you multiply a number by all the positive integers less than it. In this case, 6! is equal to 6 x 5 x 4 x 3 x 2 x 1, which equals 720.

Submit

27. 7!=?

The given answer, 5040, is the factorial of 7. Factorial is a mathematical operation where you multiply a number by all the positive integers less than it. In this case, 7! is calculated as 7 x 6 x 5 x 4 x 3 x 2 x 1, which equals 5040.

Explanation

The given answer, 5040, is the factorial of 7. Factorial is a mathematical operation where you multiply a number by all the positive integers less than it. In this case, 7! is calculated as 7 x 6 x 5 x 4 x 3 x 2 x 1, which equals 5040.

Submit

28. Complete the idiom:
Many people see euthanasia __ an escape from pain.

The correct answer is "as." In this context, "as" is used to indicate that many people view euthanasia as an escape from pain. This means that they perceive euthanasia as a way to alleviate or avoid suffering.

Explanation

The correct answer is "as." In this context, "as" is used to indicate that many people view euthanasia as an escape from pain. This means that they perceive euthanasia as a way to alleviate or avoid suffering.

Submit

29. Complete the idiom:
Memorizing idioms is not as fun __ playing bingo.

This question is asking for the completion of an idiom. The correct answer is "as." The idiom being completed is "Memorizing idioms is not as fun as playing bingo." This means that playing bingo is more enjoyable than memorizing idioms.

Explanation

This question is asking for the completion of an idiom. The correct answer is "as." The idiom being completed is "Memorizing idioms is not as fun as playing bingo." This means that playing bingo is more enjoyable than memorizing idioms.

Submit

30. Complete the idiom:

You are responsible __ the child.

The correct answer is "for". In this idiom, "responsible for" means being accountable or having a duty to take care of something or someone. In this context, it implies that the person being referred to has the responsibility for the child's well-being or actions.

Explanation

The correct answer is "for". In this idiom, "responsible for" means being accountable or having a duty to take care of something or someone. In this context, it implies that the person being referred to has the responsibility for the child's well-being or actions.

Submit

31. Complete the idiom:
He was prohibited __ entering the public library after he accidentally set the dictionary on fire with a magnifying glass.

The correct answer is "from." The word "prohibited" indicates that someone was not allowed to do something. In this case, the person was not allowed to enter the public library. The reason for this prohibition is stated in the sentence - the person accidentally set the dictionary on fire with a magnifying glass. Therefore, the person was prohibited from entering the library as a consequence of their actions.

Explanation

The correct answer is "from." The word "prohibited" indicates that someone was not allowed to do something. In this case, the person was not allowed to enter the public library. The reason for this prohibition is stated in the sentence - the person accidentally set the dictionary on fire with a magnifying glass. Therefore, the person was prohibited from entering the library as a consequence of their actions.

Submit

33. Complete the idiom:
If you take the GMAT enough times, you might develop the ability __ choose the credited responses without reading the questions.

By taking the GMAT multiple times, one becomes familiar with the format and patterns of the questions. This familiarity allows them to develop the ability to choose the credited responses without even reading the questions. In other words, they can rely on their experience and intuition to select the correct answers without needing to fully comprehend the questions themselves.

Explanation

By taking the GMAT multiple times, one becomes familiar with the format and patterns of the questions. This familiarity allows them to develop the ability to choose the credited responses without even reading the questions. In other words, they can rely on their experience and intuition to select the correct answers without needing to fully comprehend the questions themselves.

Submit

34. Complete the idiom:
Many amusing quips are attributed __ Dorothy Parker.

The correct answer is "to". In this idiom, when something is attributed to someone, it means that it is credited or given as belonging to that person. In this case, many amusing quips are credited to Dorothy Parker, indicating that she is known for making clever and humorous remarks.

Explanation

The correct answer is "to". In this idiom, when something is attributed to someone, it means that it is credited or given as belonging to that person. In this case, many amusing quips are credited to Dorothy Parker, indicating that she is known for making clever and humorous remarks.

Submit

35. Complete the idiom:
Before you enter the house you are required __ take off your hat.

Before you enter the house you are required to take off your hat. The idiom "to take off" means to remove or unfasten something, in this case, your hat. The sentence implies that it is necessary or expected for someone to remove their hat before entering the house as a sign of respect or courtesy.

Explanation

Before you enter the house you are required to take off your hat. The idiom "to take off" means to remove or unfasten something, in this case, your hat. The sentence implies that it is necessary or expected for someone to remove their hat before entering the house as a sign of respect or courtesy.

Submit

36. Complete the idiom:
You have a responsibility __ take care of the child.

The correct answer is "to." In this idiom, the phrase "have a responsibility" implies that there is a duty or obligation involved. The phrase "take care of the child" further emphasizes the specific task or responsibility at hand. Therefore, the correct completion of the idiom would be "to," indicating that the responsibility is to take care of the child.

Explanation

The correct answer is "to." In this idiom, the phrase "have a responsibility" implies that there is a duty or obligation involved. The phrase "take care of the child" further emphasizes the specific task or responsibility at hand. Therefore, the correct completion of the idiom would be "to," indicating that the responsibility is to take care of the child.

Submit

37. Complete the idiom:

I don't permit my children __ play with knives in the living room.

The correct answer is "to". This is because the idiom "permit someone to do something" means to give someone permission or allow them to do something. In this context, the speaker is saying that they do not allow or give permission to their children to play with knives in the living room.

Explanation

The correct answer is "to". This is because the idiom "permit someone to do something" means to give someone permission or allow them to do something. In this context, the speaker is saying that they do not allow or give permission to their children to play with knives in the living room.

Submit

38. Complete the idiom:
Try __ stay awake during the essay section of the test.

The correct answer is "to". This is because the idiom "try to" is used to indicate an attempt or effort to do something. In this case, the phrase "try to stay awake" means making an effort to remain awake during the essay section of the test.

Explanation

The correct answer is "to". This is because the idiom "try to" is used to indicate an attempt or effort to do something. In this case, the phrase "try to stay awake" means making an effort to remain awake during the essay section of the test.

Submit

39. Complete the idiom:
Most politicians prefer not to be associated __ the Mafia.

This idiom suggests that politicians generally do not want to be connected or linked to the Mafia, a notorious criminal organization. Being associated with the Mafia can damage their reputation, credibility, and trustworthiness among the public. It implies that politicians strive to maintain a clean image and distance themselves from any criminal or unethical activities.

Explanation

This idiom suggests that politicians generally do not want to be connected or linked to the Mafia, a notorious criminal organization. Being associated with the Mafia can damage their reputation, credibility, and trustworthiness among the public. It implies that politicians strive to maintain a clean image and distance themselves from any criminal or unethical activities.

Submit

40. Complete the idiom:
I can distinguish between black __ white.

The correct answer is "and". In this idiom, "distinguish between black and white" means to be able to clearly see and understand the difference between two opposing or contrasting things. It implies having a clear perception or judgment about something.

Explanation

The correct answer is "and". In this idiom, "distinguish between black and white" means to be able to clearly see and understand the difference between two opposing or contrasting things. It implies having a clear perception or judgment about something.

Submit

41. What is the measure of the side of an Isoceles_Right∆with a hypotenuse of x√2

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.

Explanation

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.

Submit

45. (x²)(x^-2)=?

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.

Explanation

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.

Submit

46. What percentage is the first distribution sextile of a normal bell curve?

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.

Explanation

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.

Submit

47. 16.66% = what fraction?

The given percentage, 16.66%, can be expressed as the fraction 1/6. This is because 16.66% is equivalent to the decimal 0.1666, which can be simplified to 1/6.

Explanation

The given percentage, 16.66%, can be expressed as the fraction 1/6. This is because 16.66% is equivalent to the decimal 0.1666, which can be simplified to 1/6.

Submit

48. 37.5% = what fraction?

The correct answer is 3/8 because 37.5% can be written as a fraction by dividing it by 100. When we divide 37.5 by 100, we get 0.375. This decimal can be simplified to a fraction by moving the decimal point two places to the right, resulting in 3/8. Therefore, 37.5% is equivalent to the fraction 3/8.

Explanation

The correct answer is 3/8 because 37.5% can be written as a fraction by dividing it by 100. When we divide 37.5 by 100, we get 0.375. This decimal can be simplified to a fraction by moving the decimal point two places to the right, resulting in 3/8. Therefore, 37.5% is equivalent to the fraction 3/8.

Submit

49. 62.5% = what fraction?

The fraction 5/8 is equivalent to 62.5% because when you convert a percentage to a fraction, you divide the percentage by 100 and simplify if possible. In this case, 62.5 divided by 100 is 0.625, which can be simplified to 5/8 by dividing both the numerator and denominator by 0.125. Therefore, 62.5% is equal to 5/8.

Explanation

The fraction 5/8 is equivalent to 62.5% because when you convert a percentage to a fraction, you divide the percentage by 100 and simplify if possible. In this case, 62.5 divided by 100 is 0.625, which can be simplified to 5/8 by dividing both the numerator and denominator by 0.125. Therefore, 62.5% is equal to 5/8.

Submit

50. 66.66% = what fraction?

The given question asks for the fraction equivalent to 66.66%. To convert a percentage to a fraction, we divide the percentage by 100. In this case, dividing 66.66 by 100 gives us 0.6666. We can simplify this fraction by dividing both the numerator and denominator by 0.6666, which gives us 2/3. Therefore, the fraction equivalent to 66.66% is 2/3.

Explanation

The given question asks for the fraction equivalent to 66.66%. To convert a percentage to a fraction, we divide the percentage by 100. In this case, dividing 66.66 by 100 gives us 0.6666. We can simplify this fraction by dividing both the numerator and denominator by 0.6666, which gives us 2/3. Therefore, the fraction equivalent to 66.66% is 2/3.

Submit

51. 83.33% = what fraction?

The fraction 5/6 is equivalent to 83.33% because when we convert 5/6 to a decimal, we get 0.8333. Multiplying this decimal by 100 gives us 83.33%. Therefore, 5/6 is the fraction that represents 83.33%.

Explanation

The fraction 5/6 is equivalent to 83.33% because when we convert 5/6 to a decimal, we get 0.8333. Multiplying this decimal by 100 gives us 83.33%. Therefore, 5/6 is the fraction that represents 83.33%.

Submit

52. 1/8 = what percent?

The fraction 1/8 can be converted to a percentage by multiplying it by 100. When we do that, we get 12.5%. Therefore, 1/8 is equal to 12.5%.

Explanation

The fraction 1/8 can be converted to a percentage by multiplying it by 100. When we do that, we get 12.5%. Therefore, 1/8 is equal to 12.5%.

Submit

53. 1/6 = what percent?

The given question is asking for the percentage equivalent of 1/6. To find this, we divide 1 by 6, which equals 0.1666. To convert this decimal to a percentage, we multiply it by 100, resulting in 16.66%. Therefore, the correct answer is 16.66%.

Explanation

The given question is asking for the percentage equivalent of 1/6. To find this, we divide 1 by 6, which equals 0.1666. To convert this decimal to a percentage, we multiply it by 100, resulting in 16.66%. Therefore, the correct answer is 16.66%.

Submit

55. Complete the ratio_Right∆:

3:4:x

The ratio is given as 3:4:x. To find the value of x, we can set up a proportion using the given information. The ratio of the first two terms is 3/4, and the ratio of the second and third terms is 4/x. We can cross multiply and solve for x. 3x = 4*4, which simplifies to 3x = 16. Dividing both sides by 3, we get x = 16/3. However, since the answer is given as 5, it does not match the calculated value. Therefore, the question may be incomplete or the given answer may be incorrect.

Explanation

The ratio is given as 3:4:x. To find the value of x, we can set up a proportion using the given information. The ratio of the first two terms is 3/4, and the ratio of the second and third terms is 4/x. We can cross multiply and solve for x. 3x = 4*4, which simplifies to 3x = 16. Dividing both sides by 3, we get x = 16/3. However, since the answer is given as 5, it does not match the calculated value. Therefore, the question may be incomplete or the given answer may be incorrect.

Submit

56. Factor (x+y)²
(Note: x2 = x²)

The given expression is asking for the square of the sum of x and y. To find this, we use the formula (a+b)2 = a2 + 2ab + b2. In this case, a is x and b is y. Plugging in these values, we get x2 + 2xy + y2 as the correct answer.

Explanation

The given expression is asking for the square of the sum of x and y. To find this, we use the formula (a+b)2 = a2 + 2ab + b2. In this case, a is x and b is y. Plugging in these values, we get x2 + 2xy + y2 as the correct answer.

Submit

57. Factor (x-y)²
(Note: x2 = x²)

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.

Explanation

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.

Submit

58. Factor (x+y)(x-y)
(Note: x2 = x²)

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.

Explanation

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.

Submit

59. Complete the idiom:
If you worry too much ___ the GMAT, you'll develop an ulcer.

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.

Explanation

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.

Submit

60. Complete the idiom:
Art historians regard the Mona Lisa __ one of the greatest works of art.

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.

Explanation

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.

Submit

61. Complete the idiom:
He is not so much smart __ cunning.

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.

Explanation

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.

Submit

62. Complete the idiom:
Mom and dad gave the same punishment to me __ to you.

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.

Explanation

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.

Submit

63. Complete the idiom:
Democrats are not so different __ Republicans in the US.

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.

Explanation

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.

Submit

64. Complete the idiom:
The men had a dispute __ money.

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.

Explanation

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.

Submit

65. Complete the idiom:
He was so late __ he missed the main course.

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.

Explanation

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.

Submit

66. Complete the idiom:
My pasta sauce is far superior __ my mother-in-law's.

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.

Explanation

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.

Submit

67. Complete the idiom:
My father likes to contrast my grades __ my brother's.

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.

Explanation

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.

Submit

68. Complete the idiom:
I can distinguish day __ night.

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.

Explanation

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.

Submit

69. Complete the idiom:
The review was not mean-spirited __ merely flippant.

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.

Explanation

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.

Submit

70. Complete the ratio_Right∆:

5:x:13

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.

Explanation

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.

Submit

71. What is the slope of a line that is perpendicular to a line with slope x/y?

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.

Explanation

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.

Submit

72. What percentage is the second distribution sextile of a normal bell curve?

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.

Explanation

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.

Submit

73. What percentage is the third distribution sextile of a normal bell curve?

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.

Explanation

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.

Submit

74. What percentage is the fifth distribution sextile of a normal bell curve?

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.

Explanation

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.

Submit

75. What percentage is the sixth distribution sextile of a normal bell curve?

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.

Explanation

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.

Submit

76. What is the formula for rate of speed?
(d=distance, t=time)

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.

Explanation

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.

Submit

77. 12.5% = what fraction?

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.

Explanation

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.

Submit

78. 5/6 = what percent?

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%.

Explanation

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%.

Submit

79. √2 ≈ ?

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.

Explanation

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.

Submit

80. Ratio_{Isoceles∆ Sides?}
_{(answer format}
_x:y:z
_{√ = option+v)}

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.

Explanation

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.

Submit

81. Factor (x+y)(x+y)
(Note: x2 = x²)

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.

Explanation

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.

Submit

82. Complete the idiom:
My GMAT teacher defines the conclusion __ the main point of the argument.

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.

Explanation

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.

Submit

83. Complete the idiom:
The commercials were obviously targeted __ teenage boys.

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.

Explanation

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.

Submit

84. Complete the idiom:
The hypothesis __ aspartame causes brain tumors has not been proven yet.

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.

Explanation

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.

Submit

85. Complete the idiom:

The time he has spent impersonating Elvis is estimated __ longer than the time Elvis himself spent performing.

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.

Explanation

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.

Submit

86. Complete the idiom:
Mel Gibson is a native __ Australia.

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.

Explanation

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.

Submit

87. Complete the idiom:
She is not only beautiful, __ smart.

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.

Explanation

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.

Submit

88. Even + Even = ?

Even

Odd

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".

Explanation

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".

89. What is the formula for a vertical line, whose x-intercept is (c,0)?

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).

Explanation

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).

Submit

90. (z^a)(z^b)=?

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.

Explanation

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.

Submit

91. What is the formula for work?
(w=work, t=time, r=rate)

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.

Explanation

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.

Submit

92. Complete the idiom:
Think of it more __ a promise than a threat.

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.

Explanation

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.

Submit

93. Complete the idiom:
Many people credit Christopher Columbus __ the discovery of America, but Native Americans were here first.

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.

Explanation

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.

Submit

94. (Even)(Even) = ?

Even

Odd

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".

Explanation

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".

95. What is the formula for the volume of a cylinder?
(option+p=π)

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.

Explanation

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.

Submit

96. What percentage is the fourth distribution sextile of a normal bell curve?

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.

Explanation

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.

Submit

97. What is the formula for the probability of event A and the probability of event B?
(Pa=probability of event A, Pb=probability of event B)

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).

Explanation

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).

Submit

98. Complete the idiom:
The kangaroo is native __ Australia.

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

Explanation

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

Submit

99. What is the formula to determine the length of the diagonal of a box?
(d=diagonal, l=length, w=width, h=height)

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.

Explanation

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.

Submit

100. What is the formula for the probability of event A or the probability of event B?
(Pa=probability of event A, Pb=probability of event B)

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.

Explanation

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.

Submit

101. Complete the idiom:
His friends do not believe the ring he bought at the auction __ Jackie O's; they all think he was tricked.

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.

Explanation

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.

Submit

102. X^1/2=?
(option+v=√)

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.

Explanation

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.

Submit

103. There are X racers. If there are three winning positions for a race and A racers can come in first place, B racers can come in second place, C racers can come in third place, and D represents the left over racers who did not place, what is the probability?

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.

Explanation

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.

Submit

104. What is the formula for the area of an equilateral triangle?
(option+v = √. x2 = x*x. 1/2 = .5, b=base)

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.

Explanation

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.

Submit

105. What are the coordinates of the y-intercept of a line (if it exists)?
(b=y-intercept. m=slope)

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.

Explanation

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.

Submit

106. What is the formula for the surface area of a cylinder?
(option+p=π)

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.

Explanation

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.

Submit

107. Complete the idiom:
She is so beautiful __ exquisite.

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.

Explanation

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.

Submit

108. What is the ratio of the sides of a 30/60/90 right triangle?
(option+v=√)

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.

Explanation

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.

Submit

109. Even + Odd = ?

Even

Odd

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.

Explanation

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.

110. Odd + Odd = ?

Even

Odd

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".

Explanation

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".

111. (Even)(Odd)

Even

Odd

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".

Explanation

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".

112. (Odd)(Odd) = ?

Even

Odd

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.

Explanation

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.

113. Complete the idiom:
Art historians consider the Mona Lisa __ one of the greatest works of art.

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

Explanation

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

Submit