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Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or

Source: Manhattan Prep Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, integer 8 is labeled delta. What is the label on an integer that is the sum of a gam...


The ratio of males to females in a particular school is 4:5. How many male students are there?

Source: Magoosh The ratio of males to females in a particular school is 4:5. How many male students are there? 1) If the number of girls increased by 20%, then males would constitute 40% of this larger student body 2) If 10 more male students joined the school, the new ratio of males to females wou...


A batch of widgets costs \(p+15\) dollars for a company to produce and each batch sells for \(p(9-p)\) dollars. For

Source: Manhattan Prep

A batch of widgets costs \(p + 15\) dollars for a company to produce and each batch sells for \(p(9 – p)\) dollars. For which of the following values of p does the company make a profit?

A. 3
B. 4
C. 5
D. 6
E. 7

The OA is B


100 consumers were surveyed about their use of two products, soap A and soap B. How many of the consumers used only

Source: Veritas Prep

100 consumers were surveyed about their use of two products, soap A and soap B. How many of the consumers used only soap A?

1) 70 of the consumers used soap B
2) 20 of the consumers used both soaps

The OA is E


On a ferry, there are 50 cars and 10 trucks. The cars have an average mass of 1200 kg and the trucks have an average

Source: Magoosh

On a ferry, there are 50 cars and 10 trucks. The cars have an average mass of 1200 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 60 vehicles on the ferry?

A. 1200 kg
B. 1500 kg
C, 1800 kg
D. 2100 kg
E. 2400 kg

The OA is B


If a certain seamstress in a garment shope made \(65\) coats, what percent of the shop's total output of coats did she

Source: Princeton Review If a certain seamstress in a garment shop made \(65\) coats, what percent of the shop's total output of coats did she make? 1) The shop made a total of \(325\) coats 2) The number of coats made by the seamstress represents \(\dfrac{1}{5}\) of the shop's output of coats The ...


A gang of criminals hijacked a train heading due south. At exactly the same time, a police car located \(50\) miles

Source: Manhattan Prep A gang of criminals hijacked a train heading due south. At exactly the same time, a police car located \(50\) miles north of the train started driving south toward the train on an adjacent roadway parallel to the train track. If the train traveled at a constant rate of \(50\)...


Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job

Source: Manhattan Prep Victor's job requires to him complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for \(144\) hours and is supervised for half the time, he will finish a total of \(36\) jobs. ...


In the figure above, SQRE is a square and AB = AC. Is the area of triangle ABC greater than the area of square SQRE?

Source: Manhattan Prep

Capture (2).PNG
In the figure above, SQRE is a square and AB = AC. Is the area of triangle ABC greater than the area of square SQRE?

1) The length of RE is less than twice the length of BR.
2) AS = AQ

The OA is C


The mean of twenty-five consecutive positive integers numbers is what percent of the total?

Source: Magoosh

The mean of twenty-five consecutive positive integers numbers is what percent of the total?

A. 4%
B. 5%
C. 20%
D. 25%
E. Cannot be determined by the information provided.

The OA is A


Line \(L\) is a line in the \(xy\)-plane. Does line \(L\) pass through the second quadrant?

Source: Magoosh

Line L is a line in the \(xy\)-plane. Does line \(L\) pass through the second quadrant?

1) Line \(L\) has a positive slope
2) At its closest approach, Line \(L\) is never closer than \(3\) units to the origin

The AO is E


In a card game named Allemande, each of four players has a hand of 8 cards from a standard deck of 52. Through a series

Source: Magoosh In a card game named Allemande, each of four players has a hand of 8 cards from a standard deck of 52. Through a series of discards, players try to maximize the point value of their final hand. Suits are irrelevant. Cards Ace through 10 have a point value of the number of their card...


An agent was billed a total of $6.00 for \(n\) reams of paper. As a result of a price increase of $0.25 per ream, the

Source: GMAT Prep An agent was billed a total of \(\$6.00\) for \(n\) reams of paper. As a result of a price increase of \(\$0.25\) per ream, the agent's next bill of \(\$6.00\) was for \(4\) reams of paper. The second bill was for how many reams of paper? A. \(8\) B. \(12\) C. \(24\) D. \(25\) E. ...


A certain store found that last year the average (arithmetic mean) monthly sales from January through October was

Source: GMAT Prep A certain store found that last year the average (arithmetic mean) monthly sales from January through October was $120,000. In November and December, the monthly sales were 3 and 5 times, respectively, the average for the other 10 months. What was the store's average monthly sales...


For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What

Source: Official Guide For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person? 1) The daily cost per person for 4 people sharing the cost of a room equally is $45 2) The daily cost per person f...