For Jack, income tax is between 15 and 35 percent of total income after an "exclusion" amount has been subtracted (that is, Jack does not have to pay any income tax on the exclusion amount, only on the remainder of his total income). If the exclusion amount is between $5,200 and $9,800, and Jack's income tax was $8,700, which of the following could have been Jack's total income?

Answer all that apply

Three numbers, a, b and c are obtained by rounding 22.567 to its tenths’ place, 225.78 to its units’ place and 2.45 to its units’ place, respectively. Which of the following are correct?

Answer all that apply

Scientists formerly believed that the rocky planets—Earth, Mercury, Venus, and Mars—were created by the rapid gravitational collapse of a dust cloud, a deflation giving rise to a dense orb. That view was challenged in the 1960s, when studies of Moon craters revealed that these craters were caused by the impact of objects that were in great abundance about 4.5 billion years ago but whose number appeared to have quickly decreased shortly thereafter. This observation rejuvenated Otto Schmidt’s 1944 theory of accretion. According to this theory, cosmic dust gradually lumped into ever-larger conglomerates: particulates, gravel, small and then larger balls, planetesimals (tiny planets), and, ultimately, planets. As the planetesimals became larger, their numbers decreased. Consequently, the number of collisions between planetesimals decreased.

Which of the following best describes the “observation” referred to in the passage?

Scientists formerly believed that the rocky planets—Earth, Mercury, Venus, and Mars—were created by the rapid gravitational collapse of a dust cloud, a deflation giving rise to a dense orb. That view was challenged in the 1960s, when studies of Moon craters revealed that these craters were caused by the impact of objects that were in great abundance about 4.5 billion years ago but whose number appeared to have quickly decreased shortly thereafter. This observation rejuvenated Otto Schmidt’s 1944 theory of accretion. According to this theory, cosmic dust gradually lumped into ever-larger conglomerates: particulates, gravel, small and then larger balls, planetesimals (tiny planets), and, ultimately, planets. As the planetesimals became larger, their numbers decreased. Consequently, the number of collisions between planetesimals decreased.

The passage provides evidence that Schmidt would be likely to disagree with the theory presented in the first sentence over

On a linear scale, there are markings made at equal gaps. One such marking, P has a value 3¹¹. Another marking 2 places to the right of P has a value  3¹³. A marking 3 places to the left of P is Q. What is the value of Q÷3¹¹?

If f(x) = ax² + bx such that f(1) = f(-1) +2, what is the value of b?

The remainders when 72 is divided by two single-digit integers m and n are both positive. What is the remainder when 72 is divided by (m + n)?

Though feminist in its implications, Yvonne Rainer’s 1974 film __________ the filmmaker’s active involvement in feminist politics.

A particular bacterium that has never encountered a particular virus will usually succumb to it, a _______ that may, surprisingly, be beneficial to the colony in which the bacterium lives.

The demands of ________ notwithstanding, a page or two in Dahl's recent book on democracy that considered what public-choice economics has to say about "democratic failure" —or at least a clear signpost to that literature—would have been very well spent.

That people _______ the musical features of birdsongs suggests that despite the vast evolutionary gulf between birds and mammals, songbirds and humans share some common auditory perceptual abilities.

A student appeared for three tests. His mean score is 10 greater than his median score. If the range of scores of the student is 70 what is the difference between the median score and the lowest score?

The mean of n terms is x. If the first term is increased by 1, the second by 2, the third by 3, and so on till the last term, the mean becomes (x + k). If n = 12, what is the value of 2k?

In stark contrast to his later (i)_________, Simpson was largely (ii)_________ politics during his college years, despite the fact that the campus he attended was rife with political activity.

For each blank select one entry from the corresponding choices.
Fill all blanks in the way that best completes the text.

Blank (i):
A) activism
B) apathy
C) affability

Blank (ii):
D) devoted to
E) indifferent to
F) shaped by

Far from viewing Jefferson as a skeptical but enlightened intellectual, historians of the 1960s have portrayed him as (i) ___________ thinker, eager to fill the young with his political orthodoxy while censoring ideas he did not like.

For each blank select one entry from the corresponding column of choices.
Fill all blanks in the way that best completes the text.

Blank (i):
A) an adventurous
B) a doctrinaire
C) an eclectic
D) a judicious
E) a cynical

Before 1500 North America was inhabited by more than 300 cultural groups, each with different customs, social structures, world views, and languages; such diversity (i) _______ the existence of a single Native American culture.

For each blank select one entry from the corresponding choices.
Fill all blanks in the way that best completes the text.

Blank (i):
A) complements
B) implies
C) reiterates
D) argues against
E) explains away

The (i) _____ nature of classical tragedy in Athens belies the modern image of tragedy: in modern view tragedy is austere and stripped down, its representation of ideological and emotional conflicts so superbly compressed that there is nothing (ii) __________ for time to erode.

For each blank select one entry from the corresponding choices.
Fill all blanks in the way that best completes the text.

Blank (i):
A) unadorned
B) harmonious
C) multifaceted

Blank (ii):
D) inalienable
E) exigent
F) extraneous

A 10 ml mixture of juice concentrate and water contained 40 percent juice. Some water was added to this mixture. The resulting mixture contained 10 percent juice.

Quantity A: Volume of water that was added

Quantity B: 18 ml

Mark your answer as:

• A: If quantity A > quantity B
• B: If quantity B > quantity A
• C: If quantity A = quantity B
• D: If there is no relation between the quantities

The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively

Quantity A: The value at the 75th percentile of the distribution of X

Quantity B: 750

Mark your answer as:

• A: If quantity A > quantity B
• B: If quantity B > quantity A
• C: If quantity A = quantity B
• D: If there is no relation between the quantities

Four people each roll a fair die once.

Quantity A: The probability that at least two people will roll the same number

Quantity B: 70%

Mark your answer as:

• A: If quantity A > quantity B
• B: If quantity B > quantity A
• C: If quantity A = quantity B
• D: If there is no relation between the quantities