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For the latest version of the GMAT
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Number TheoryDefinitionNumber Theor
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• 1 (and ‐1) are divisors of ev
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other digits: 21‐(9+8+6+9)=‐11,
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Sum of n first positive integers:Su
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Converting Decimals to Fractions•
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Operations involving the same bases
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PERCENTDefinitionA percentage is a
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Absolute ValueDefinitionThe absolut
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satisfied (‐15 is not within (‐
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FactorialsDefinitionThe factorial o
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AlgebraScopeManipulation of various
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There is a common misconception tha
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RemaindersDefinitionIf and are posi
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A. 2B. 4C. 8D. 20E. 45divided by yi
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Example #10 (hard)When positive int
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Word Problems OverviewThe Following
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Key words: less than (implies subtr
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Distance/Speed/Time Word ProblemsWh
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In the next section we will learn h
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Time(3) = Time(1) + Time(2) ‐‐
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3*x = 5*(x ‐ 20) ‐‐> x = 50 m
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Work Word ProblemsWhat is a ‘Work
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Example 3:Working together, printer
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Advanced Overlapping Sets ProblemsS
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the writing club. If 6 students sig
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two of the courses and 1 employee h
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Consider this problem to be an over
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Median The median of a triangle is
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• The midsegment is always parall
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Equilateral triangle all sides have
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• A right triangle where the angl
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Then the triangles ABC, CHB and CHA
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Quadrilateral A polygon with four '
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Squares A 4‐sided regular polygon
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- Page 74 and 75: • A circle is the shape with the
- Page 76 and 77: ChordA line that links two points o
- Page 78 and 79: angle.• An inscribed angle is exa
- Page 80 and 81: chords.‐ This becomes the theorem
- Page 82 and 83: Coordinate GeometryDefinitionCoordi
- Page 84 and 85: As you can see, the distance formul
- Page 86 and 87: Lines in Coordinate GeometryIn Eucl
- Page 88 and 89: The equation of a straight line tha
- Page 90 and 91: Positive slopeHere, y increases as
- Page 92 and 93: A horizontal line has a slope of ze
- Page 94 and 95: Solution: We first find the slope o
- Page 96 and 97: To answer, we must find the slope o
- Page 98 and 99: Example #2Q: Find the point of inte
- Page 100 and 101: ParabolaA parabola is the graph ass
- Page 102 and 103: Standard DeviationDefinitionStandar
- Page 104 and 105: Standard deviation of is . Decrease
- Page 106 and 107: ProbabilityDefinitionA number expre
- Page 108 and 109: Therefore, the probability of getti
- Page 110 and 111: 2) Reversal combinatorial approach:
- Page 112 and 113: Combinations & PermutationsDefiniti
- Page 114 and 115: 1. The total number of arrangements
- Page 116 and 117: is the first termDefining Propertie
- Page 118 and 119: Solution(1) a1=8, does not tell us
- Page 120 and 121: CuboidA cube is the 3‐D generaliz
- Page 124 and 125: Volume =Surface Area w/o base =Surf
- Page 126: (2) : Sum of sides = . Not sufficie
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