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

##### 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.

##### 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.

##### $$28$$ 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

##### 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...

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

##### 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

##### $$40$$ 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

##### 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: 228