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GMAT Math 3 for 2.5 times its cost, how many bars did John and Peter have to sell to recoup their initial investment. A. 40 B. 60 C. 80 D. 100 E. 120 C. 80 Note: The equation to use is Total Sales = Quant.*Price THIS IS NOT A PROFIT EQUATION 1st: Each can
D. x/10 loss 
E. 2x/5 loss 
D. x/10 loss 
To solve: Profit = Revenue - Cost 
A population of 10 ants grew by a certain factor x each day. What is the value of x? 
1. Had the factor been halved, the ants would have grown to a population of 320 in 5 
days. 
2. The average population growth for the first 5 days was 2,046 ants per day. 
D. Each statement alone is sufficient 
A certain store sells milk for x dollars per gallon. If the store purchases the milk for y 
dollars per gallon, how much per g...
- Exam (elaborations)
- • 16 pages •
D. x/10 loss 
E. 2x/5 loss 
D. x/10 loss 
To solve: Profit = Revenue - Cost 
A population of 10 ants grew by a certain factor x each day. What is the value of x? 
1. Had the factor been halved, the ants would have grown to a population of 320 in 5 
days. 
2. The average population growth for the first 5 days was 2,046 ants per day. 
D. Each statement alone is sufficient 
A certain store sells milk for x dollars per gallon. If the store purchases the milk for y 
dollars per gallon, how much per g...
GMAT Exam Success Simplified: Comprehensive Guides for Testing Exams
P(E) = 1 - P(not E) 
3rd Rule of Probability: Conditional Probability 
Conditional Probability: The probability of event A AND event B occurring is the 
probability of event A times the probability of event B, given that A has already 
occurred. 
P(A and B) = P(A) × P(B|A) 
4th Rule of Probability: Probability of A OR B 
The probability of event A OR event B occurring is: the probability of event A 
occurring plus the probability of event B occurring minus the probability of both 
events occurr...
- Exam (elaborations)
- • 24 pages •
P(E) = 1 - P(not E) 
3rd Rule of Probability: Conditional Probability 
Conditional Probability: The probability of event A AND event B occurring is the 
probability of event A times the probability of event B, given that A has already 
occurred. 
P(A and B) = P(A) × P(B|A) 
4th Rule of Probability: Probability of A OR B 
The probability of event A OR event B occurring is: the probability of event A 
occurring plus the probability of event B occurring minus the probability of both 
events occurr...
GMAT My A$$ Off Exam Mastery Made Easy: Comprehensive Study Guides
Round Trip 
D1 = D2... write out rates equations for both legs of the trip (one will have T and one will 
have T-X... if there is a stop for lunch and gone for 8 hours, that means only drive for 7 
total).... Set equations equal to each other and solve for T! 
(X / 25) + (x/10) = what percent of X? 
Find a common denominator and get into one fraction. Xs cancel and the fraction is 
your answer 
Takes 1st person c hours to do a job and 2 people together d hours to do the same job. 
How long will ...
- Exam (elaborations)
- • 34 pages •
Round Trip 
D1 = D2... write out rates equations for both legs of the trip (one will have T and one will 
have T-X... if there is a stop for lunch and gone for 8 hours, that means only drive for 7 
total).... Set equations equal to each other and solve for T! 
(X / 25) + (x/10) = what percent of X? 
Find a common denominator and get into one fraction. Xs cancel and the fraction is 
your answer 
Takes 1st person c hours to do a job and 2 people together d hours to do the same job. 
How long will ...
GMAT Pass Your Exams: Verified Instructor Notes Included
impostor 
(n). a swindler, deceiver; one who uses a false name or character in order to cheat 
syn:cheat, trickster, four- flushed, pretender 
excerpt 
(n.) a passage taken from a book, article, etc.; (v.) to take such a passage; to quote 
afflict 
(v.) cause pain or suffering in 
Ex. "afflict with the plague"; "That debasement of the verbal currency that afflicts terms 
used in advertisement" 
spleen 
(n.) a large dark-red oval organ on the left side of the body between the stomach and 
the...
- Exam (elaborations)
- • 18 pages •
impostor 
(n). a swindler, deceiver; one who uses a false name or character in order to cheat 
syn:cheat, trickster, four- flushed, pretender 
excerpt 
(n.) a passage taken from a book, article, etc.; (v.) to take such a passage; to quote 
afflict 
(v.) cause pain or suffering in 
Ex. "afflict with the plague"; "That debasement of the verbal currency that afflicts terms 
used in advertisement" 
spleen 
(n.) a large dark-red oval organ on the left side of the body between the stomach and 
the...
GMAT - Target TestPrep. Exam Excellence: Study Guides and Instructor Notes Included
a/b x c/d = ac/bd 
Dividing fractions 
Multiply by the reciprocal: a/b x c/d = a/b x d/c = ad/bc 
Two methods for simplifying fractions 
Cross cancel and top-and-bottom cancel 
1 over a fraction 
1/a/b = b/a 
How to simplify a complex fraction: Method 1 
Multiply both the numerator of the complex fraction and the denominator of the complex 
fraction by the LCD 
How to simplify a complex fraction: Method 2 
Write the numerator of the complex fraction as a single fraction, do the same to the 
deno...
- Exam (elaborations)
- • 17 pages •
a/b x c/d = ac/bd 
Dividing fractions 
Multiply by the reciprocal: a/b x c/d = a/b x d/c = ad/bc 
Two methods for simplifying fractions 
Cross cancel and top-and-bottom cancel 
1 over a fraction 
1/a/b = b/a 
How to simplify a complex fraction: Method 1 
Multiply both the numerator of the complex fraction and the denominator of the complex 
fraction by the LCD 
How to simplify a complex fraction: Method 2 
Write the numerator of the complex fraction as a single fraction, do the same to the 
deno...
TTP GMAT IDIOMS. Trusted Study Materials for All Testing Exams
The community board acceded to Polly's request to have the dumpster removed from in 
front of her house 
The police needed a warrant in order to gain access in the suspect's house. 
The police needed a warrant in order to gain access to the suspect's house. 
The police needed a warrant in order to gain access of the suspect's house. 
The police needed a warrant in order to gain access for the suspect's house 
access to + noun 
The police needed a warrant in order to gain access to the suspe...
- Exam (elaborations)
- • 61 pages •
The community board acceded to Polly's request to have the dumpster removed from in 
front of her house 
The police needed a warrant in order to gain access in the suspect's house. 
The police needed a warrant in order to gain access to the suspect's house. 
The police needed a warrant in order to gain access of the suspect's house. 
The police needed a warrant in order to gain access for the suspect's house 
access to + noun 
The police needed a warrant in order to gain access to the suspe...
4.10 Unit Test: Analytic Exam Essentials: Comprehensive Guides for Testing Exams
y=−14x+6 
Parallel: −x+4y=8 
Perpendicular: y=−4x−3, 4x+y=−1 
Neither: y=−14x+6 
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose 
slope is 2/5? 
Drag each choice into the boxes to correctly complete the table. 
Parallel 
Perpendicular 
Neither 
line p, with slope 2/5 
line n, with slope −5/2 
line m, with slope 5/2 
line q, with slope −2/5 
Parallel: line p, with slope 2/5 
Perpendicular: line n, with slope −5/2 
Neither: line m, with...
- Exam (elaborations)
- • 4 pages •
y=−14x+6 
Parallel: −x+4y=8 
Perpendicular: y=−4x−3, 4x+y=−1 
Neither: y=−14x+6 
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose 
slope is 2/5? 
Drag each choice into the boxes to correctly complete the table. 
Parallel 
Perpendicular 
Neither 
line p, with slope 2/5 
line n, with slope −5/2 
line m, with slope 5/2 
line q, with slope −2/5 
Parallel: line p, with slope 2/5 
Perpendicular: line n, with slope −5/2 
Neither: line m, with...
12 key elements of economics. Verified Instructor Notes for Exam Success
the value (not monetary cost) of the last alternative you gave up 
element 3 
decisions are made at the margins 
briefly explain element 3. 
make choices that generate more benefits than costs and refrain from actions that are 
more costly than they are worth 
what is the production possibilities curve (PPC)? 
the simplest economic model that represents scarcity, trade-offs, and opportunity costs; 
shows how an individual, firm government or country allocates resources between 2 
competing activ...
- Exam (elaborations)
- • 3 pages •
the value (not monetary cost) of the last alternative you gave up 
element 3 
decisions are made at the margins 
briefly explain element 3. 
make choices that generate more benefits than costs and refrain from actions that are 
more costly than they are worth 
what is the production possibilities curve (PPC)? 
the simplest economic model that represents scarcity, trade-offs, and opportunity costs; 
shows how an individual, firm government or country allocates resources between 2 
competing activ...
Analytic Geometry. Exam Preparation Made Simple: Comprehensive Study Guides
Analytic geometry 
A branch of mathematics which uses algebraic equations 
Rene Descartes and Pirre de Fermat 
French mathematicians independently developed the foundations for analytic geometry 
Cartesian geometry 
Analytic geometry is also known as... 
Cartesian plane 
The basis of analytic geometry 
Conic sections 
The curves formed by the intersection of a plane and a double right circular cone 
Circle 
When the plane is horizontal
- Exam (elaborations)
- • 1 pages •
Analytic geometry 
A branch of mathematics which uses algebraic equations 
Rene Descartes and Pirre de Fermat 
French mathematicians independently developed the foundations for analytic geometry 
Cartesian geometry 
Analytic geometry is also known as... 
Cartesian plane 
The basis of analytic geometry 
Conic sections 
The curves formed by the intersection of a plane and a double right circular cone 
Circle 
When the plane is horizontal
Analytic Geometry Achieve Your Goals: Verified Instructor Notes Included
Right angles 
Angles of the measurement of 90° all right angles are congruent 
Straight angle 
To race to go in opposite directions that foreman angle measurement of 180° all straight 
angles are congruent 
Interior angle 
In Angle in the interior (inside) of a figure 
Exterior angle 
In angle on the exterior outside of a figure that is adjacent to an interior angle 
Corresponding angle 
Angles/sides that have the same relative position 
Complementary angle 
Some of the angle measurements add ...
- Exam (elaborations)
- • 2 pages •
Right angles 
Angles of the measurement of 90° all right angles are congruent 
Straight angle 
To race to go in opposite directions that foreman angle measurement of 180° all straight 
angles are congruent 
Interior angle 
In Angle in the interior (inside) of a figure 
Exterior angle 
In angle on the exterior outside of a figure that is adjacent to an interior angle 
Corresponding angle 
Angles/sides that have the same relative position 
Complementary angle 
Some of the angle measurements add ...
Pre-MPJE Exceptional Academic Excellence.
Good work
APEX EKG Test Perfect Your Scoring.