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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...


Two rival companies, Ajax and Zenon, offer trash and recycling pickup service to homes in a certain neighborhood. The

Two rival companies, Ajax and Zenon, offer trash and recycling pickup service to homes in a certain neighborhood. The costs for the two services are identical, as is the number of times that the trash and recycled materials are picked up each week. Despite this, Zenon consistently has a higher level...


Maggie draws a hand of ten cards from a standard deck. Maggie’s hand contains at least one card of each suit (clubs,

Maggie draws a hand of ten cards from a standard deck. Maggie’s hand contains at least one card of each suit (clubs, diamonds, spades, and hearts). There are twice as many spades as hearts in the hand Maggie draws. How many clubs does Maggie have in her hand? (A) There are two more clubs than spades...


A study conducted at Cedar-Sinai Medical Center indicated that if heart surgery patients participate in group therapy

A study conducted at Cedar-Sinai Medical Center indicated that if heart surgery patients participate in group therapy and talked about their surgeries, they will feel less pain and recover quicker than do those who are isolated. (A) talked about their surgeries, they will feel less pain and recover ...


Between 2000 and 2010 the rabbit population along the coast of Nova Scotia declined dramatically. Wildlife biologists

Between 2000 and 2010 the rabbit population along the coast of Nova Scotia declined dramatically. Wildlife biologists studying the decline could find no signs of disease or undernourishment, so it is likely that the decline was caused by increased predation. Coyotes prefer to hunt larger mammals suc...


Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters of a

Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters of a sulfuric acid solution with a stronger concentration, and the resultant solution is 9 liters of 50% concentrated sulfuric acid solution. What was the concentration, as a percent, ...


Joan and Carl played together as a team in the game of Smart Business against the team of Mark and Sandra. In this game,

Joan and Carl played together as a team in the game of Smart Business against the team of Mark and Sandra. In this game, the score of a team is calculated as the average (arithmetic mean) of the individual scores achieved by each player of the team. What was the score of Joan and Carl’s team? (1) Jo...