2.
1/6 = what percent?
Explanation
This question is asking for the percentage equivalent of the fraction 1/6. To find this, we divide 1 by 6 and then multiply the result by 100 to convert it into a percentage. The result is 0.1666, which when rounded to two decimal places is 16.66%. Therefore, the correct answer is 16.66%.
3.
5/6 = what percent?
Explanation
The fraction 5/6 can be converted to a percentage by dividing the numerator (5) by the denominator (6) and then multiplying by 100. This calculation results in 83.33%.
4.
7/8 = what percent?
Explanation
The fraction 7/8 can be converted to a percentage by multiplying it by 100. When we do this, we get 87.5%. Therefore, 7/8 is equal to 87.5%.
5.
112=?
Explanation
The given equation 112 = 121 is a statement of equality. It means that the value of 112 is equal to 121.
6.
122=?
Explanation
The given question is asking for a number that is equal to 122. The answer provided is 144, which is not equal to 122. Therefore, the answer is incorrect.
7.
132=?
Explanation
The given equation is 132 = ?. The answer is 169. This means that 132 is equal to 169.
8.
142=?
9.
152=?
10.
43=?
11.
53=?
12.
63=?
13.
73=?
14.
83=?
15.
93=?
Explanation
The equation 93 = 729 is not a mathematical equation as it is missing an operation or a variable. Therefore, it is not possible to find a logical explanation for this answer.
16.
√2 ≈ ?
Explanation
The square root of 2 is approximately equal to 1.4.
17.
RatioIsoceles∆ Sides? (answer format x:y:z√ = option+v)
Explanation
The ratio of the sides of an isosceles triangle is 1:1:√2. This means that the two equal sides of the triangle have a length of 1 unit each, while the third side (the base) has a length of √2 units.
18.
Complete the ratioRight∆:3:4:x
Explanation
The ratio given is "ratioRight∆:3:4:x". The ratio is incomplete as it does not provide any numerical values for "ratioRight∆" and "x". Therefore, without this information, it is not possible to determine the value of "x" or provide a complete explanation.
19.
0!=?
Explanation
The factorial of 0 is defined as 1. This is because factorial is a mathematical operation that calculates the product of all positive integers less than or equal to a given number. Since there are no positive integers less than or equal to 0, the product is considered to be 1.
20.
3!=?
Explanation
The question is asking for the value of 3 factorial, denoted as 3!. Factorial is a mathematical operation that multiplies a number by all of the positive integers less than it. In this case, 3! is equal to 3 x 2 x 1, which equals 6. Therefore, the correct answer is 6.
21.
4!=?
Explanation
The question is asking for the factorial of 4, which is denoted by 4!. Factorial means multiplying a number by all of the positive integers less than it. In this case, 4! would be equal to 4 x 3 x 2 x 1, which equals 24.
22.
6!=?
Explanation
The question is asking for the value of 6 factorial, which is denoted as 6!. Factorial is a mathematical operation where you multiply a number by all of the positive integers less than it. In this case, 6! is calculated as 6 x 5 x 4 x 3 x 2 x 1, which equals 720.
23.
7!=?
Explanation
The given question asks for the value of 7 factorial, denoted as 7!. Factorial means multiplying a number by all the positive integers less than it. So, to find 7!, we multiply 7 by 6, then by 5, then by 4, then by 3, then by 2, and finally by 1. The result is 5040.
24.
Factor (x+y)(x+y)(Note: x2 = x2)
Explanation
The given expression is a result of multiplying (x+y) by itself twice. When we expand the expression, we use the distributive property to multiply each term in the first set of parentheses (x+y) by each term in the second set of parentheses (x+y). This results in x multiplied by x (x^2), x multiplied by y (xy), y multiplied by x (xy), and y multiplied by y (y^2). Combining like terms, we get the final answer x^2+2xy+y^2.
25.
Complete the idiom:My GMAT teacher defines the conclusion __ the main point of the argument.
Explanation
The word "as" is used to show the relationship between the conclusion and the main point of the argument. It indicates that the conclusion is the same or equivalent to the main point.
26.
Complete the idiom:He is not so much smart __ cunning.
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...as" is used to indicate that the first quality mentioned is not as strong or prevalent as the second quality. Therefore, the correct completion of the idiom is "He is not so much smart as cunning." This means that the person being referred to is more cunning than they are smart.
27.
Complete the idiom:Think of it more __ a promise than a threat.
Explanation
The idiom "think of it more of a promise than a threat" implies that the speaker wants the listener to view a particular situation or statement as more positive and reassuring rather than negative or intimidating. By using "of" in this idiom, it suggests that the speaker wants the listener to consider the situation or statement as being in the category of a promise, which typically conveys a sense of commitment and reliability, rather than in the category of a threat, which usually implies danger or harm.
28.
Complete the idiom:Many people see euthanasia __ an escape from pain.
Explanation
The correct answer is "as". In this idiom, "as" is used to indicate that many people perceive euthanasia as a means to escape from pain. It suggests that euthanasia is viewed as a solution or relief from suffering by those who support it.
29.
Complete the idiom:Memorizing idioms is not as fun __ playing bingo.
Explanation
This question is asking for the completion of the idiom "Memorizing idioms is not as fun __ playing bingo." The correct answer is "as." This is because the idiom is comparing the level of fun between two activities, memorizing idioms and playing bingo. The word "as" is commonly used in idioms to indicate a comparison or similarity between two things. In this case, it suggests that playing bingo is more enjoyable or fun than memorizing idioms.
30.
Complete the idiom:Democrats are not so different __ Republicans in the US.
Explanation
The correct answer is "from". This is because the idiom "not so different from" is used to compare two things and highlight their similarities. In this case, it suggests that Democrats and Republicans in the US have more similarities than differences.
31.
Complete the idiom:He was so late __ he missed 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 that they missed an important event or opportunity. In this case, the person was so late that they arrived after the main course had already been served and missed the opportunity to have it.
32.
Complete the idiom:The hypothesis __ aspartame causes brain tumors has not been proven yet.
Explanation
The correct answer is "that". In this idiom, "that" is used to introduce a clause that explains or provides more information about the hypothesis. It indicates that the claim or belief that aspartame causes brain tumors has not been proven yet.
33.
Complete the idiom:The time he has spent impersonating Elvis is estimated __ longer than the time Elvis himself spent performing.
Explanation
The correct answer is "to be." This phrase is used to indicate that the estimated time spent impersonating Elvis is longer than the time Elvis himself spent performing. It suggests that the person has spent a significant amount of time impersonating Elvis, possibly indicating a deep passion or dedication to the act.
34.
Complete the idiom:I forbid you __ call me before noon.
Explanation
The correct answer is "to". In this idiom, "forbid" means to prohibit or not allow something. The phrase "forbid you to" is used to express a strong command or order, indicating that the speaker does not want the person to do a certain action. In this case, the speaker is specifically forbidding the person from calling them before noon.
35.
Complete the idiom:If you take the GMAT enough times, you might develop the ability __ choose the credited responses without reading the questions.
Explanation
The correct answer "to" completes the idiom "develop the ability to". This means that if you take the GMAT multiple times, you may eventually acquire the skill or capability to choose the credited responses without even reading the questions. The word "to" indicates the purpose or result of developing this ability.
36.
Complete the idiom:Many amusing quips are attributed __ Dorothy Parker.
Explanation
The correct answer is "to." In this idiom, the word "attributed" means to credit or assign something to someone. Therefore, the sentence means that many amusing quips are credited or assigned to Dorothy Parker.
37.
Complete the idiom:You have a responsibility __ take care of the child.
Explanation
The correct answer is "to." In this idiom, "to" is used to indicate the purpose or duty of having a responsibility. It implies that the person has an obligation or duty to take care of the child. The word "to" connects the responsibility and the action of taking care, showing the relationship between them.
38.
Complete the idiom:My pasta sauce is far superior __ my mother-in-law's.
Explanation
The correct answer is "to." The idiom is comparing the quality of the speaker's pasta sauce to the quality of their mother-in-law's sauce. By using "to," it implies that the speaker's sauce is of higher quality or better in some way compared to their mother-in-law's sauce.
39.
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 express an attempt or effort to do something. In this context, the phrase "try to stay awake" means making an effort to remain awake during the essay section of the test.
40.
Complete the idiom:Many people credit Christopher Columbus __ the discovery of America, but Native Americans were here first.
Explanation
Many people credit Christopher Columbus with the discovery of America, but Native Americans were here first.
41.
Complete the idiom:Most politicians prefer not to be associated __ the Mafia.
Explanation
The correct answer is "with". In this idiom, "to be associated with" means to be connected or linked to something or someone, usually in a negative way. The sentence suggests that politicians generally do not want to be connected or affiliated with the Mafia, indicating a desire to distance themselves from any association with organized crime.
42.
Complete the idiom:My father likes to contrast my grades __ my brother's.
Explanation
The correct answer is "with". In this idiom, "contrast" means to compare or highlight the differences between two things. In this context, it means that the father likes to compare the grades of the speaker with the grades of their brother. The word "with" is used to indicate the object of comparison.
43.
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 presenting two options for completing a great meal - either chocolate ice cream or carrot cake. "Or" is used to indicate a choice between two alternatives.
44.
Complete the idiom:When given the choice, I choose both ice cream __ cake.
Explanation
The correct answer is "and" because the idiom "I choose both ice cream and cake" implies that the person wants to have both options and cannot decide between them. The word "and" is used to connect the two options, indicating that the person wants both ice cream and cake.
45.
Complete the idiom:The chimpanzee is much more intelligent __ the orangutan.
Explanation
The given answer "than" completes the idiom "The chimpanzee is much more intelligent than the orangutan." This idiom is used to compare the intelligence levels of two different animals, stating that the chimpanzee is more intelligent than the orangutan. "Than" is a comparative conjunction used to introduce the second element being compared in a sentence. In this case, it is used to show the comparison between the intelligence of the chimpanzee and the orangutan.
46.
Za/zb=?
47.
(za)b=?
48.
What percentage is the fourth distribution sextile of a normal bell curve?
Explanation
The fourth distribution sextile of a normal bell curve represents the percentage of data that falls within one standard deviation above the mean. In a normal distribution, approximately 34% of the data falls within this range. Therefore, the answer is 34%.
49.
What percentage is the fifth distribution sextile of a normal bell curve?
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 falls within the fifth distribution sextile.