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Unlike physicians of the early twentieth century, many physicians now believe that fevers that range from 100° to 102° a

Unlike physicians of the early twentieth century, many physicians now believe that fevers that range from 100° to 102° are not dangerous manifestations of disease organisms and are actually beneficial in ridding the body of viral infections. A) many physicians now believe that fevers that range from...


In a certain factory, the union membership was higher in 2010 than in 2008. For the period from 2007 to 2011, the

In a certain factory, the union membership was higher in 2010 than in 2008. For the period from 2007 to 2011, the percentage of factory workers that were members of the union remained constant. The statements above, if true, most strongly support which conclusion? A) The union membership in 2009 was...


Suppose x is the product of all the primes less than or equal to 59. How many primes appear in the set

Suppose x is the product of all the primes less than or equal to 59. How many primes appear in the set {x + 2, x + 3, x + 4, …, x + 59}?

A. 0
B. 17
C. 18
D. 23
E. 24



OA A

Source: Veritas Prep


For every integer a>1, a* is defined as the least prime factor of a. Is b*<c*?

For every integer a>1, a* is defined as the least prime factor of a. Is b*<c*?

1. b is an odd integer greater than 1
2. c is an even integer


OA B

Source: Princeton Review


When astronomers observed the comet Steinman-Arnet 3 becoming 1,000 times brighter in September 1995, they correctly hyp

When astronomers observed the comet Steinman-Arnet 3 becoming 1,000 times brighter in September 1995, they correctly hypothesized that its increased brightness was a result of the comet’s breaking up. When comets break up, they emit large amounts of gas and dust, becoming visibly brighter as a resul...


In a network of car dealerships, a group of d sales directors each has a team of a sales associates. In a given month,

In a network of car dealerships, a group of d sales directors each has a team of a sales associates. In a given month, if the directors each sold 10 cars and each sales associate sold 20 cars, and all cars were sold by either a sales director or a sales associate, how many people total sold cars? (1...


Automobile emissions are a significant source of air pollutants, and cars over five years old typically generate

Automobile emissions are a significant source of air pollutants, and cars over five years old typically generate significantly greater amounts of pollutants than newer cars. In Torinia, which has recently built its first automobile manufacturing plant, most cars are over five years old. Aiming to bo...


Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 20 boys and 40 girls. If there are

Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 20 boys and 40 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?

(A) 2
(B) 4
(C) 6
(D) 8
(E) 10


OA D

Source: Manhattan Prep


Edward has four pearls – two white and two black – which he can distribute as he chooses between two identical bags. He

Edward has four pearls – two white and two black – which he can distribute as he chooses between two identical bags. He must then choose a bag at random and pick one pearl at random from the bag he chose. If Edward distributes the pearls so as to maximize his chances of pulling a black pearl, what i...


In a blow to those who still harbored the illusion that E-mail exchanges are private, a watchdog group recently

In a blow to those who still harbored the illusion that E-mail exchanges are private, a watchdog group recently uncovered a trick for enabling an interloper to rig an E-mail message so that this person will be privy to any comments that a recipient had added as the message is forwarded to others or ...


Food stamps are distributed by the government to aid those who lack the money to buy essentials such as milk, cheese,

Food stamps are distributed by the government to aid those who lack the money to buy essentials such as milk, cheese, and bread. Unfortunately, there exists a black market for these stamps whereby individuals sell them for cash at discounted values so that they can use the proceeds for alcohol and i...


If set R contains the consecutive integers from -5 to -1, what is the mean of set R?

If set R contains the consecutive integers from -5 to -1, what is the mean of set R?

A. -5

B. -3

C. 0

D. 3

E. 5



OA B

Source: Manhattan Prep


Suppose n children are going to sit, in any order, on a row of n chairs. What is the value of n?

Suppose n children are going to sit, in any order, on a row of n chairs. What is the value of n? (1) In this row, there are 5040 possible arrangements of the n children. (2) If one child leaves, and one chair is removed from the row, there would be 4320 fewer arrangements of the remaining children. ...


While the expression no great shakes originally referred to gamblers who were not adept at rolling dice, they have

While the expression “no great shakes” originally referred to gamblers who were not adept at rolling dice, they have come to connote broadly varying meanings; they could refer, for example, to individuals who perform tasks only unexceptionally or, just as easily, to unmemorable or ordinary experienc...