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Although trains may use energy more (i)_____ than do automobiles, the latter move only when they contain at least one occupant, whereas railway carriages spend a considerable amount of time running up and down the tracks (ii)_____, or nearly so.
Observers of modern presidential campaigns who (i)_____ the highly (ii)_____ productions that pass for campaigns these days do sometimes find reason for hope in the occasional mix-ups that (iii)_____ candidates on the trail despite the presence of political strategist`s plotting every event with the tactical precision of military commanders.
y > 1,001

Quantity A

$$\sqrt[3]{y}$$

Quantity B

$$\frac{y}{100}$$



QA=$$\frac{3}{2}$$QE
n=75, m=50

Quantity A

The length of arc ACB

Quantity B

The length of arc EDF




The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
A normal distribution of variable X has a mean of 56 and a standard deviation of 4.

Quantity A

The percentage of variable X ranging from 60 to 62

Quantity B

The percentage of variable X ranging from 62 to 64


In how many ways can five flags of different colors (red and green colors are included) be arranged in order such that the flag in the middle has to be red or green?
What is the probability that a number comprised of at least one 6 on all digits is selected when selecting a number from 1 to 1,000 (inclusive)?
Give your answer as a fraction.
What is the units digit of $$23^{25}$$-23?

Quantity A

The number of positive factors of 87

Quantity B

The number of positive factors of 97


What's the number of integers between 1 and 2,000, inclusive, that can be transformed into not only a perfect square number and also a perfect cubic number?
A box contains 6 cards, numbered 1, 2, 3, 4, 5, and 6, respectively. If one of the 6 cards is to be selected at random, what is the probability that the number on the card selected will be greater than 3, or even, or both?
Give your answer as a fraction.
Which of the following statements are true for all integers a and b?

Indicate all such statements.

Quantity A

The tens digit of

($$4^{100}$$)($$5^{99}$$)

Quantity B

The tens digit of

($$4^{100}$$)($$5^{101}$$)








In the figure shown, what is the length of line segment BD?


As shown in the figure, the centers of the two circles are respectively on the circumference of each other, and the radius is 3. What is the perimeter of this figure?

Quantity A

400*(18!)

Quantity B

20!+19!+18!


How many 6-digit integers greater than 321,000 can be formed such that each of the digits 1, 2, 3, 4, 5, and 6 is used once in each 6-digit integer?
Which of the following, if true, provides the most support for the argument?

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