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Bert has $1.37 of loose change in his pocket — pennies ($0.01), nickels ($0.05), dimes ($0.10), and quarters ($0.25).

Magoosh Bert has $1.37 of loose change in his pocket — pennies ($0.01), nickels ($0.05), dimes ($0.10), and quarters ($0.25). He reaches into his pocket and pulls out one coin at random. What is the probability that the coin is a nickel? 1) There are exactly seven pennies in his pocket 2) There are...


At the beginning of January 2003, Jill invested money in an account that collected interest, compounding monthly. Assume

Magoosh At the beginning of January 2003, Jill invested money in an account that collected interest, compounding monthly. Assume the annual percentage rate of interest remained constant. What is the total amount she has invested after seven years? 1) Her initial investment was $15,000 2) In April, ...


A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants

GMAT Prep

A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?

A. 18
B. 72
C. 180
D. 1,260
E. 3,060

OA E


In Country X, 1/2 of the population can speak English, 1/3 can speak French, and 1/5 can speak both English and French.

GMAT Prep

In Country X, 1/2 of the population can speak English, 1/3 can speak French, and 1/5 can speak both English and French. What fraction of the population of Country X can speak neither English nor French?


A. 2/15
B. 1/6
C. 3/10
D. 11/30
E. 13/30

OA D


\(28\) students were each assigned to one of five classes: Anthropology, Biology, Geology, Musicology, and Sociology.

Manhattan Prep \(28\) students were each assigned to one of five classes: Anthropology, Biology, Geology, Musicology, and Sociology. Was at least one of the classes assigned fewer than \(5\) students? 1) At least \(6\) students were assigned to each of Biology, Geology, and Sociology 2) Geology and...


A lawyer charges her clients \(\$200\) for the first hour of her time and \(\$150\) for each additional hour. If the

GMAT Prep A lawyer charges her clients \(\$200\) for the first hour of her time and \(\$150\) for each additional hour. If the lawyer charged her new client \(\$1,550\) for a certain number of hours of her time, how much was the average (arithmetic mean) charge per hour? A. \(\$150\) B. \(\$160\) C...


At a certain committee meeting only associate professors and assistant professors are present. Each associate professor

GMAT Prep At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought \(2\) pencils and \(1\) chart to the meeting, while each assistant professor has brought \(1\) pencil and \(2\) charts. If a total of \(10\) pencils and \(11...


At a certain stand, all soft drinks cost the same and all sandwiches cost the same. How much does 1 sandwich cost at the

Source: GMAT Prep

At a certain stand, all soft drinks cost the same and all sandwiches cost the same. How much does 1 sandwich cost at the stand?

1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15
2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70

The OA is C


An actor read aloud and recorded a certain 420-page book on several audiotapes. Was the average recording time per page

Source: GMAT Prep

An actor read aloud and recorded a certain 420-page book on several audiotapes. Was the average recording per page less than 90 seconds?

1) Each tape was at most 40 minutes
2) The book was recorded on 15 tapes

The OA is C


Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fan to

Source: Magoosh Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the g...


The octahedron is an eight-faced geometric solid that can be thought of as two-square based pyramids with the squares

Source: Magoosh The octahedron is an eight-faced geometric solid that can be thought of as two square-based pyramids with the squares glued together. All eight faces of the octahedron are congruent equilateral triangles. Given that an edge is where the side of one equilateral triangle is attached t...


On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it

Official Guide On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning? 1) The machine began filling the order at \(9{:}30\) a.m. 2) The machine has filled \(1/2\) of the order by \(10{:}30\) a.m. ...


A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff

Official Guide A department manager distributed pens, pencils, and pads among the staff in the department, with each staff member receiving \(x\) pens, \(y\) pencils, and \(z\) pads. How many staff members were in the department? 1) The number of pens, pencils, and pads that each staff member recei...


\(40\) percent of Andrea's living room floor is covered by a carpet that is \(4\) feet by \(9\) feet. What is the area

Manhattan Prep

\(40\) percent of Andrea's living room floor is covered by a carpet that is \(4\) feet by \(9\) feet. What is the area of her living room floor?

A. \(14.4\)
B. \(\dfrac{180}{7}\)
C. \(50.4\)
D. \(60\)
E. \(90\)

OA E


Each of the following equations has at least one solution EXCEPT

Manhattan Prep

Each of the following equations has at least one solution EXCEPT

A. \(–2^n = (–2)^{-n}\)

B. \(2^{-n} = (–2)^n\)

C. \(2^n = (–2)^{-n}\)

D. \((–2)^n = –2^n\)

E. \((–2)^{-n} = –2^{-n}\)

OA A

by AAPL

Tue Aug 02, 2022 9:57 am
Forum: Problem Solving
Topic: Each of the following equations has at least one solution EXCEPT
Replies: 0
Views: 141