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Quantity A

100!

Quantity B

$$(50!)^{2}$$


In 1970 approximately what percent of United States residents were older than 5 but younger than 65 years old?
Of the 10 selected years, which had the greatest total number of United States residents in the combined age groups of "5 years and younger" and "65 years and older"?
Of the following which best describes how the number of United States residents that were in the age-group"5 years and younger"changed from 1900 to 1940?


PQST is a parallelogram and R is the midpoint of side PT.

Quantity A

The area of triangular region PQR

Quantity B

The area of triangular region RST




Human brains are amazing organs but they are not perfect. Cognitive biases, as we know, sometimes produce errors. Yet the term "error" could be (i)______________ in that it suggests that there might be (ii)_______________ way in which cognition should work. Such a binary opposition is (iii)_____________.
A certain experiment has exactly two mutually exclusive outcomes with probabilities p and 2p.

Quantity A

p

Quantity B

1-p




A committee of 4 people consisting of 2 men and 2 women is to be selected from 5 sets of fraternal twins, where each set consists of one man and one woman. If only 1 person from each set of twins may be selected for the committee, what is the total number of distinct committees that can be formed?
The average (arithmetic mean) of the six numbers a, b, c, d, e, and f is x. The average of c, d, e, and f is also x.

Quantity A

a+b

Quantity B

2x


A certain device is a rectangular box with dimensions 20 inches by 5 inches by 6 inches. If the device has mass 17 kilograms, then the device`s density is approximately how many kilograms per cubic foot? (Density is the ratio of mass to volume, and 1 foot=12 inches.)
$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$, ......

The sequence of numbers shown is defined by $$a_{1}$$=4, $$a_{2}$$=5, and $$a_{n}$$=2$$a_{n-1}$$+$$a_{n-2}$$ for all integers greater than 2. Which of the following is a number in the sequence?
A shop sells only two types of beverages: coffee and teas. If 36 percent of the shop`s beverages are teas that have caffeine and 60 percent of the shop`s teas have caffeine, what percent of the shop`s beverages are coffees?
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ......, 24

The list above consists of 300 entries that are integers in increasing order, and each integer n occurs n times for 1≤n≤24. What is the least integer k in the list for which at least 15% of all the entries are less than k?
It costs d dollars to buy $$a$$ apples. At this rate, what is the cost of $$a+1350$$ apples, in dollars?
A total of $72,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $332 in interest for the month, what is the value of r?

Give your answer to the nearest tenths of a percent.

_____%

Quantity A

$$1000^{1000}$$

Quantity B

$$100^{10000}$$


Fara's book is no ordinary account of how scientific knowledge has accumulated. Instead, Fara focuses on how science has been guided by social and political factors. Her aim is to (i)____________ the notion of science as an objective search for truth. The study is an impressive (ii)___________ the idealization of science. Yet Fara takes her argument too far by (iii)_____________ how the knowledge produced by science relates to the external world: she treats all theories as equal, regardless of whether they are supported by evidence.
Whereas unimaginative novelists were once routinely accused of simply changing the personal names in works that would otherwise have been (i)_____________, today it is more common to learn, conversely, that a genuine piece of (ii)____________ has been (iii)__________ a writer's true confessions.
In a sequence of 700 integers, each term after the first two terms is the sum of the two preceding terms.

Which of the following could be the number of odd integers in the sequence?

Indicate all such numbers.
If y=(x-2)(x-1)(x+ 1), which of the following graphs indicates all of the values of x for which y is positive?

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