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$$1, 2, 3,……., r$$
$$1, 2, 3,……., r+1$$
The first sequence consists of $$r$$ consecutive integers, where $$r$$ is an even integer. The second sequence consists of $$r + 1$$ consecutive integers.

Quantity A

The percent of the integers in the first sequence that are even

Quantity B

The percent of the integers in the second sequence that are even


The number of volunteers at a local fund-raising event was between $$40$$ and $$50$$. Which of the following statements individually provide(s) sufficient additional information to determine the number of volunteers?
Indicate all such statements.
How many positive two-digit integers are not divisible by $$4$$?
If the sum of $$x$$ and $$5$$ is divided by $$y$$, the result is $$8$$.

Quantity A

$$x$$

Quantity B

$$y$$


When $$10$$ is divided by the positive integer $$k$$, the remainder is $$k-2$$. Which of the following could be the integer $$k$$?
Indicate all such integers.
Those who had once been his ________ within the bureaucracy, responsive to his every string-pulling maneuver, were now distressingly prone to independent judgment, and amicable enough but with an infuriating, vaguely superior manner.
The great divide between science and the humanities appeared during the last decades of the nineteenth century: before then, most people had seen those realms of human thought as (i)________. It would therefore be (ii)________ us to study early- or mid-nineteenth-century science as something completely separate from the art of the time.
In her analysis of Jane Austen' s Mansfield Park, Emily Auerbach plays up the symbolic importance of many details of the story. Although Auerbach' s compelling close reading may (i)________ us of the notion that Austen was the (ii)________ author we would prefer, Auerbach often exceeds the boundaries of (iii)________ to the point of wistful hope.
The character whose fate dominates the film' s plot appears only briefly onscreen, a bit of narrative slyness that we might welcome as ________ the sensory overload more characteristic of this director.
At the core of science fiction is the notion of ________, of asking, "If this phenomenon continues, where will it lead?"
Though acknowledging the unstated assumptions that commentators on her paper had identified, the geologist pointed out that such assumptions were (i)_______ the context of her research, and therefore their existence did not (ii)_______ her conclusions.
In their cool and self-effacing design, Dutt' s new galleries for the museum (i)_______ their contents completely. For example, Dutt is best known for creating effects with natural light, but in these galleries this light is purposefully (ii)_______, as protection of the fragile exhibits is a primary design (iii)________.
Because the term "memoir," unlike the term "autobiography," can suggest subjectivity rather than objectivity, Barton, in choosing to call his book a memoir, (i)_______ the accusation that his story may be (ii)_______. As Barton himself has noted, memoir promises only to give the reader an account of the author' s memory, and no one but the author can therefore (iii)_______.
The lyrics of this flavorless, inoffensive musical are (i)_______: “How can it be/It must be true/This thing I feel/I know it's you," one character sings. The melodies are pleasant but just as (ii)_______
Paradoxically, it is Sebald' s isolating, melancholy inwardness that creates the (i)_______ between narrator and reader that is the hallmark of his writing. The more Sebald insists on his (ii)_______, the more powerfully he triggers a compensatory attentiveness, and even solicitude, in his reader. But as with any single tone maintained with such undeviating consistency, sooner or later the problem of (iii)_______ arises: the sameness of his music can weary all but the most similarly predisposed listener.
Although most of her colleagues ________ that the science of ecology can be practiced without taking a stand on environmental issues, the scientist insists that certain ecological studies can be undertaken without adopting any particular position on such issues.
There is no natural environment on Earth more _______ than a virgin rain forest: a plethora of rain forest species have developed remarkably sophisticated strategies to ensure that their voices are heard.

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