2.
3/8 = what percent?
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%.
3.
5/8 = what percent?
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%.
4.
7/8 = what percent?
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%.
5.
112=?
6.
122=?
7.
132=?
Explanation
The given equation is asking for the value of 132. The answer provided is 169.
8.
142=?
9.
152=?
10.
43=?
11.
53=?
12.
63=?
13.
73=?
14.
83=?
15.
93=?
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.
16.
0!=?
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.
17.
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.
18.
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.
19.
3!=?
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.
20.
4!=?
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.
21.
5!=?
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.
22.
6!=?
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.
23.
7!=?
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.
24.
Complete the idiom:Many people see euthanasia __ an escape from pain.
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.
25.
Complete the idiom:Memorizing idioms is not as fun __ playing bingo.
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.
26.
Complete the idiom:You are responsible __ the child.
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.
27.
Complete the idiom:He was prohibited __ entering the public library after he accidentally set the dictionary on fire with a magnifying glass.
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.
28.
Complete the idiom:I forbid you __ call me before noon.
29.
Complete the idiom:If you take the GMAT enough times, you might develop the ability __ choose the credited responses without reading the questions.
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.
30.
Complete the idiom:Many amusing quips are attributed __ Dorothy Parker.
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.
31.
Complete the idiom:Before you enter the house you are required __ take off your hat.
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.
32.
Complete the idiom:You have a responsibility __ 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.
33.
Complete the idiom:I don't permit my children __ 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.
34.
Complete the idiom:Try __ stay 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.
35.
Complete the idiom:Most politicians prefer not to be associated __ the Mafia.
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.
36.
Complete the idiom:I can distinguish between black __ white.
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.
37.
Complete the idiom:I must have either chocolate ice cream __ carrot cake to complete a great meal.
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.
38.
Complete the idiom:Because Jenny was grounded, she could neither leave the house __ use the telephone.
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.
39.
Complete the idiom:When given the choice, I choose both ice cream __ cake.
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.
40.
Complete the idiom:The chimpanzee is much more intelligent __ the orangutan.
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.
41.
16.66% = what fraction?
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.
42.
37.5% = what fraction?
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.
43.
62.5% = what fraction?
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.
44.
66.66% = what fraction?
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.
45.
83.33% = what fraction?
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%.
46.
1/8 = what percent?
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%.
47.
1/6 = what percent?
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%.
48.
√3 ≈ ?
49.
Complete the ratioRight∆:3:4:x
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.