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How many three-digit positive integers are there such that the sum of the digits is 3?


In the figure above, OP = OQ and QS = 4RS. If △OPQ and △QRS have equal area, what are the coordinates of point R?
A certain type of material has a mass of 2.5 grams per cubic centimeter. A bar of this material in the shape of a rectangular solid has a mass of 800 grams. If the bar is 3 centimeters wide and is 3 times as long as it is high, approximately how many centimeters high is the bar?
In a certain town, the median daily noon temperature for a 7-day period was less than 60°F. In the town, which of the following could be the total number of days during the 7-day period on which the daily noon temperature was less than 60°F?

Indicate all such numbers.
Fungi are a basic component of every ecosystem, and their importance cannot be __________, but mycologists generally lack an understanding of which fungi are present in oceans and what roles they play.
Despite a reputation, once richly deserved, for ____________ in adopting new technologies, most big carmakers are pouring resources both into battery power and other alternative forms of propulsion, and into automated driving.
Which of the following is an assumption on which the argument depends?
The author mentions "satellites of giant planets" in order to
The author implies that the fact that the Moon and Earth “have different compositions"
At roughly four thousand lines, the second quarto version of Hamlet -- the closest surviving version to what Shakespeare first wrote in late 1599 could not have been performed uncut. Though the Elizabethan stage dispensed with time-consuming intermissions and scenery changes, this version would still have taken four hours to perform; even at top speed, actors couldn't rattle off much more than a thousand lines of verse an hour. With outdoor performances beginning at two in the afternoon and the sun setting at around five o'clock, an uncut Hamlet staged in late fall or winter would have left actors stumbling about on a dark stage. Contemporary references to other plays mention their running time as being closer to two hours.
The highlighted portion(even at top speed - an hour) of the passage serves primarily to
Which statement best describes the function of the highlighted sentence (Contemporary-two hours)?


Quantity A

The area of the triangular region

Quantity B

9






The figure shows two concentric circles, each with center O. The larger circle has radius 3r, and the smaller circle has radius 2r.



Quantity A

The area of the smaller circular region

Quantity B

The area of the shaded region








Two shaded square regions, including their edges, are shown above in the xy -plane and are labeled I and II, respectively. P is the set of all possible slopes of line segments ST, where point S is in region I and point T is in region II.

Quantity A

The greatest member of set P

Quantity B

$$\frac{3}{2}$$


The terms $$a_n$$ of a certain sequence are defined by $$a_n=\frac{3}{n(n+1)}$$ for all integers n ≥ 1.

Quantity A

The sum of the first 100,000 terms of the sequence

Quantity B

3






Of the people in a debating club, 42 percent are more than 55 years old and 68 percent are married.

Quantity A

The percent of the people in the club who are both more than 55 years old and married

Quantity B

26%






Quantity A

The number of different positive 4-digit integers in which two of the digits are equal to 5 and the other two digits are equal to 7

Quantity B

6






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