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## Official Guide Explanations:

Questions by Content Area

**Background**

This directory links you to hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). There are lists of explanations sorted by question number, difficulty level, and content area. Question numbers beginning with a 'D' are from the book's Diagnostic Test.

I've also created explanations for the problems in the 2nd edition of the Official Guide for Quantitative Review.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Click here for an example of the PDF booklets. Click here to purchase a PDF copy.

**Algebra > Absolute Value****PS**

22, 50, 130**DS**

1, 69, 153

**Algebra > Equations****PS**

4, 6, 26, 31, 34, 74, 77, 84, 115, 120, 127, 150, 163, 176, 188, 202, 213, D16, D24**DS**

26, 138, 150, D35, D37

**Algebra > Exponents****PS**

104, 112, 133, 164, 171, 228, 230, D16**DS**

30, 36, 97, 151, 153, 154, 156, 165, 166, D33, D44

**Algebra > Functions****PS**

58, 68, 81, 85, 146, 157, 171, 228, D03**DS**

19, 26, 36, 45, 115

**Algebra > Inequalities****PS**

49, 71, 104, 119, 125, 130, 173, 229**DS**

11, 49, 51, 69, 72, 79, 80, 97, 121, 146, 156, 159, 162, 166, D32, D37, D38, D41

**Algebra > Linear Equations-One Unknown****PS**

2, 18, 38, 44, 53, 57, 59, 62, 65, 68, 70, 83, 88, 100, 103, 116, 132, 144, 155, 168, 172, 176, 184, 187, 206, 207, 215, 218, 222, 226**DS**

13, 39

**Algebra > Linear Equations-Two Unknowns****PS**

58, 70, 90, 91, 134, 140, 153, 165, 180, 196, 211, 227, D12, D24**DS**

8, 15, 30, 33, 35, 54, 56, 60, 62, 71, 72, 84, 88, 95, 99, 108, 123, 131, 137, 145, 148, 152, 157

**Algebra > Simplifying Algebraic Expressions****PS**

45, 79, 112, 117, 119, 148, 202, 208, 215, 230, D01**DS**

53, 83, 168, D35

**Algebra > Solving Equations by Factoring****PS**

41, 97**DS***None*

**Algebra > Solving Quadratic Equations****PS**

41, 97, 144, 227**DS***None*

**Algebra > Symbolism****PS**

42, 122, 136, 143, 188**DS**

100, 115, 125

**Arithmetic > Counting Methods****PS**

121, 135, 191, D11**DS***None*

**Arithmetic > Decimals****PS**

15, 37, 38, 46, 56, 73, 79, 106, 108, 111, 114, 137, 139, 203, 226, D01**DS**

31, 43, 46, 64, 139

**Arithmetic > Descriptive Statistics****PS**

5, 14, 27, 57, 69, 93, 99, 123, 132, 148, 180, 184, 199, 201, D02, D09**DS**

28, 32, 53, 81, 84, 93, 105, 116, 129, 133, 134, 136, 141, 147, D31, D32, D43, D46

**Arithmetic > Discrete Probability****PS**

12, 67, 105, 158, 174, 214, D07**DS**

3, 86, 107

**Arithmetic > Fractions****PS**

3, 10, 14, 20, 24, 29, 37, 43, 45, 46, 56, 74, 75, 89, 95, 113, 122, 126, 129, 138, 168, 175, 176, 181, 186, 187, 203, 208, 213, 214, 215, 216, 218, 222, 225, D08, D13**DS**

27, 43, 46, 51, 59, 70, 90, 107, 108, 139, 150, 166, 168, D41

**Arithmetic > Percents****PS**

8, 10, 13, 17, 19, 47, 55, 60, 64, 78, 84, 92, 94, 105, 109, 111, 115, 123, 124, 131, 139, 149, 151, 156, 166, 183, 187, 200, 202, 220, 223, D04, D12, D21**DS**

21, 33, 37, 48, 52, 55, 63, 77, 79, 88, 89, 92, 120, 129, 142, 143, D29, D34, D46

**Arithmetic > Powers and Roots of Numbers****PS**

11, 15, 32, 46, 51, 54, 73, 98, 104, 112, 114, 117, 133, 136, 137, 155, 161, 172, 216, 226, 230, D15, D16, D17**DS**

1, 66, 151, 154, 156, 162, 164, 165, 169, 170, D25, D33, D44

**Arithmetic > Properties of Integers****PS**

3, 7, 12, 23, 35, 36, 40, 49, 72, 82, 87, 89, 106, 107, 110, 125, 142, 157, 159, 161, 182, 185, 190, 198, 201, 203, 211, 217, 219, 224, D13, D18, D23**DS**

6, 12, 16, 17, 24, 31, 41, 46, 51, 53, 57, 65, 66, 73, 76, 82, 90, 93, 98, 100, 106, 110, 123, 128, 139, 167, 170, 171, 172, D25, D26, D42, D44

**Arithmetic > Ratio and Proportion****PS**

1, 6, 8, 20, 21, 52, 55, 61, 63, 66, 76, 80, 84, 86, 96, 103, 109, 118, 120, 131, 141, 154, 162, 169, 179, 192, 195, 204, 223**DS**

9, 38, 39, 42, 48, 52, 58, 60, 61, 78, 80, 85, 87, 103, 111, 112, 114, 143, 150, 154, 155, 158, 163, 174

**Arithmetic > Real Numbers****PS**

29, 114, 150, 173, 182**DS**

11, 41, 65, 95, 125, 159, 169, 171

**Arithmetic > Sets****PS**

124, 167, 170, 178, 193, 200, 221, D04, D06, D14**DS**

2, 4, 21, 50, 67, 89, 92, 113, 124, 126, 127, D29, D34, D47

**Geometry > Circles****PS**

33, 160, 197, 212, D20**DS**

42, 96, 114, 117, 160, 173, D36

**Geometry > Coordinate Geometry****PS**

9, 25, 30, 39, 88, 194, 205, 210, 212, 229**DS**

75, 94, 121, 149, 164, D39

**Geometry > Intersectings Lines and Angles****PS**

53, 62, 194, 209**DS**

132

**Geometry > Lines****PS**

48, 130**DS**

5, 91, 108

**Geometry > Perpendicular Lines****PS**

194**DS***None*

**Geometry > Polygons (Convex)****PS**

D10**DS***None*

**Geometry > Quadrilaterals****PS**

4, 18, 62, 102, 113, 118, 134, 145, 177**DS**

18, 132, 135, 144, 148, D48

**Geometry > Rectangular Solids and Cylinders****PS**

16, 177, 189, D05, D22**DS**

18, 29, 34, 122

**Geometry > Triangles****PS**

48, 102, 145, 147, 152, 177, 205, 209, 229, D10, D19**DS**

20, 56, 74, 109, 135, 140, 144, 149, 157, 160, 173, D28, D48

**Word Problems > Data Interpretation****PS**

5, 30, 69, 81, 116, 196**DS**

40, 96

**Word Problems > Discount****PS**

64, 111, 115, 123, 151**DS**

63

**Word Problems > Geometry Problems****PS**

16, 18, 26, 135, 147, 152, 160, 189, 197, D05, D22**DS**

18, 34, 42, 114, 164

**Word Problems > Interest Problems****PS**

78, 128, D21**DS**

7, 78, D40

**Word Problems > Measurement Problems****PS**

28, 63, 154**DS**

14, 130

**Word Problems > Mixture Problems****PS**

14, 47, 61, 94, 132, 156, 166, 223**DS**

59, 85, 101, 131, 141

**Word Problems > Other****PS**

17, 35, 59, 60, 72, 77, 87, 140, 141, 153, 155, 163, 165, 186, 217, 225, D08**DS**

5, 9, 13, 22, 27, 28, 32, 37, 54, 55, 57, 58, 62, 70, 71, 77, 79, 86, 111, 116, 128, 138, 142, 143, 145, 155, 161, 163, 174, D27, D30, D45

**Word Problems > Profit****PS**

83**DS**

23, 33, 52

**Word Problems > Rate Problems****PS**

1, 6, 8, 21, 31, 34, 47, 52, 55, 75, 76, 86, 96, 98, 103, 118, 127, 129, 131, 138, 149, 154, 162, 169, 175, 181, 183, 192, 195, 197, 204, 206, 207, 220, D24**DS**

10, 14, 25, 44, 47, 61, 87, 102, 103, 104, 118, 146, 158, D38

**Word Problems > Sets****PS**

30, 105, 124, 158, 167, 170, 174, 178, 191, 193, 200, 214, 221, D04, D06, D14**DS**

2, 4, 21, 50, 67, 89, 92, 113, 119, 124, 126, 127, 141, D29, D34, D47

**Word Problems > Work Problems****PS**

80, 101, 126, 204, 213**DS**

44, 68, 112

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Total GMAT Math
The comprehensive guide to the GMAT Quant section. It's "far and away the best study material
available," including over 300 realistic practice questions and more than 500 exercises! |