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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.
When delivering 104 total pieces of newspaper for a community, the number of households that subscribe to 3 pieces of newspaper is twice as many as the number of household that subscribe to 1 piece of newspaper, while the number of households that subscribe to 2 pieces of newspaper is three times as many as the number of household that subscribe to 1 piece of newspaper. What is the number of households that subscribe to 2 pieces of newspaper?
y > 1,001

Quantity A

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

Quantity B

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



In a right isosceles triangle, the area of the shaded region is 44,BD=CE=4,and AC=AB,what is the length of AC?

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?
x and y are both integers If 4 ≤ x < 7 < y ≤ 12, then what`s the range of $$(x-y)^{2}$$?
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


There are 5!, or 120, ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue, yellow, green, and orange, how many of those arrangements have either the red flag or the blue flag in the middle position?
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.
If -1< y < 0, what is the relationship between y, $$y^{2}$$, $$y^{3}$$, and $$y^{4}$$?
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?

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