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Table of Contents

How to use your Official Guide Problem Sets pg. 2 Fractions, Decimals, & Percents pgs. 3–8 Algebra pgs. 9–12 Word Problems pgs. 13–18 Geometry pgs. 19–22 Number Properties pgs. 23–27 Critical Reasoning pgs. 28–30 Reading Comprehension pg. 31 Sentence Correction pgs. 32–35

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How to use your Official Guide Problem Sets You’ll be coming back to this document throughout your studies. There are three types of Official Guide (OG) problem sets: 1. Strategy Sets. These correspond to specific chapters in your Manhattan Prep

Strategy Guides. 2. Quizzes. Each Guide has 1 or 2 associated quizzes, containing a mix of problems

appropriate for that book. Page 11 of each Strategy Guide discusses the quizzes for that book.

3. “By Topic” problem lists. We’ve organized all of the OG problems by chapter for each of our Strategy Guides. If you ever want to do some extra problems of a certain type or content area, you can find specific problem numbers using these lists.

If you are taking one of our courses (live in-person, live online, or GMAT Interact): The Strategy Sets and Quizzes will be assigned on your syllabus. Every time your syllabus gives you a Strategy Sets assignment, come to this document to look up the specific problem numbers. Use the table of contents to find the relevant pages. You do not need to look up the Quizzes here. We will assign these problems directly on your syllabus. If you are studying from our books (but not taking a course): Do the Strategy Sets at the end of each corresponding chapter. The book will tell you when you should look up a Strategy Set in this document. Use the table of contents to find the relevant pages. Each Strategy Guide has 1 or 2 quizzes (see page 11 of each Guide). If the book has just one quiz, do it when you are done with the book. If the book has two quizzes, the book will tell you after which chapter to do the first quiz; the second quiz will always be done after you have finished that book. A bit of advice for everyone: While going through the material the first time, we recommend that you stick with the Strategy Sets and Quizzes. Save the remainder of the problems for your follow-up study, when you will be reviewing all topics and trying mixed sets of questions (since the real test will mix topics and question types, too).

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Fractions, Decimals, and Percents OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Fractions, Decimals, & Percents Strategy Guide.

Testing Cases Strategy Set It’s time to practice your Testing Cases skills on a few problems from The Official Guide for GMAT Review (2015 and 13th editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered by Testing Cases. To get the most from this exercise, first decide whether the problem can be answered by Testing Cases. If it cannot be answered by Testing Cases, use another method to solve. To check whether we recommend Testing Cases for each problem in the set, either turn the page to read the answer key or look up the explanation in GMAT Navigator™. 1. Data Sufficiency #D25 (pg. 25) 2. Data Sufficiency #31 (pg. 277) 3. Data Sufficiency #63 (pg. 280) 4. Data Sufficiency #75 (pg. 281) 5. Data Sufficiency #157 (pg. 290)

Estimation Strategy Set Test out your Estimation skills on a few problems from The Official Guide for GMAT Review (2015 and 13th editions). All the questions in this problem set can be solved more efficiently using the methods discussed in this chapter.

To get the most from this exercise, try these questions two ways. First, try them by calculating the exact answer. Then, try the problem again and look for opportunities to estimate.

If you struggle with any of this, look up the solution in the GMAT Navigator™ program, search online, or ask an instructor or fellow student for help. 1. Problem Solving #6 (pg. 152) 2. Problem Solving #46 (pg. 158) 3. Problem Solving #65 (pg. 161) 4. Problem Solving #94 (pg. 165) 5. Problem Solving #125 (pg. 169) 6. Problem Solving #152 (pg. 173)

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FDP Test Cases Solutions 1. Data Sufficiency #D25 Can Test Cases 2. Data Sufficiency #31 Can Test Cases 3. Data Sufficiency #63 Can Test Cases 4. Data Sufficiency #75 Can Test Cases 5. Data Sufficiency #157 Cannot Test Cases

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FDPs Mid-Book Quiz Now that you’re halfway through the Fractions, Decimals, & Percents Guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Try the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “PS” stands for Problem Solving and “DS” stands for Data Sufficiency. Easier Set: 20 Minutes

Page # Question # 22 PS D12

153 PS 8 153 PS 11 154 PS 21 155 PS 27 158 PS 48 159 PS 57 275 DS 8 275 DS 10 282 DS 88

Moderate Set: 22 Minutes

Page # Question # 154 PS 20 164 PS 84 165 PS 97 171 PS 135 172 PS 142 172 PS 146 176 PS 171 179 PS 195 184 PS 226 280 DS 62 283 DS 91

Harder Set 22 Minutes

Page # Question # 161 PS 66 162 PS 71 168 PS 115 173 PS 150 175 PS 163 279 DS 51 286 DS 127 287 DS 131 288 DS 148 289 DS 151 291 DS 170

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FDPs Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “PS” stands for Problem Solving and “DS” stands for Data Sufficiency. Easier Set: 22 Minutes Page # Question #

154 PS 15 156 PS 31 160 PS 58 160 PS 59 163 PS 82 165 PS 98 172 PS 144 177 PS 179 276 DS 23 279 DS 46 289 DS 150

Moderate Set: 24 Minutes Page # Question #

21 PS D08 159 PS 56 160 PS 63 163 PS 80 166 PS 105 169 PS 123 172 PS 141 180 PS 200 277 DS 26 280 DS 61 291 DS 168 291 DS 169

Harder Set: 24 Minutes

Page # Question # 167 PS 108 167 PS 113 168 PS 114 173 PS 151 177 PS 177 177 PS 181 180 PS 198 279 DS 55 281 DS 76 282 DS 80 282 DS 81 285 DS 114

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FDPs Problem Solving by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th editions (pgs. 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review, 2015 and 2nd editions (pgs. 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 and 13th editions (pgs. 20−23). FDPs 2015 / 13th Edition: 8 Quantitative Review: 27, 29, 45, 58, 93, 155 Digits & Decimals 2015 / 13th Edition: 17, 20, 65, 85, 111, 142, 146, 150, 163, 170, 212, 218, D01 Quantitative Review: 4, 6, 126, 174 Fractions 2015 / 13th Edition: 15, 27, 41, 46, 48, 80, 97, 108, 151, 194, 195, 214, 226, D08 Quantitative Review: 8, 14, 46, 48, 50, 53, 59, 60, 61, 69, 88, 118, 165, 167, 176 Percents 2015 / 13th Edition: 6, 11, 19, 21, 31, 57, 58, 71, 84, 94, 114, 115, 123, 135, 141, 144, 152, 171, 177, 181, 182, 198, D12, D21 Quantitative Review: 9, 10, 12, 26, 34, 35, 38, 43, 49, 52, 66, 73, 95, 100, 101, 114, 127, 138, 143, 159 Ratios 2015 / 13th Edition: 22, 56, 59, 63, 66, 82, 98, 105, 113, 125, 179, 188, 200 Quantitative Review: 39, 82, 105

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FDPs Data Sufficiency by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th editions (pgs. 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review, 2015 and 2nd editions (pgs. 152−163). To best make use of this list of problems, we recommend tracking your work in our OG Navigator tool. In OG Navigator, you can record the time you spent on each problem, the answer you chose, whether you guessed, and whether you plan to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 Edition (pgs. 24−26). FDPs 2015 / 13th Edition: 46, 51, 88, 151, 169 Digits & Decimals 2015 / 13th Edition: 31, 63, 75, 80, 133, 148, 157, 170, D25 Quantitative Review: 30, 44, 104 Fractions 2015 / 13th Edition: 10, 131, 174 Quantitative Review: 2, 48, 97, 119 Percents 2015 / 13th Edition: 2, 8, 25, 40, 55, 61, 62, 76, 91, 127, 150, D40 Quantitative Review: 5, 17, 33, 36, 53, 93 Ratios 2015 / 13th Edition: 23, 26, 81, 114, 161, 168 Quantitative Review: 9, 67, 77

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Algebra OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Algebra Strategy Guide.

Mid-Book Quiz Now that you’re halfway through the Algebra guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 22 Minutes

Page # Question # 155 PS 24 156 PS 29 158 PS 47 159 PS 52 168 PS 120 175 PS 164 178 PS 184 183 PS 217 279 DS 45 279 DS 48 290 DS 156


Page # Question # 25 DS D35

153 PS 9 156 PS 35 159 PS 55 169 PS 122 176 PS 167 177 PS 180 280 DS 59 283 DS 98 287 DS 136 291 DS 171



159 PS 51 180 PS 196 185 PS 227 185 PS 230 278 DS 41 280 DS 57 287 DS 132 290 DS 160

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Algebra Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 22 Minutes Page # Question #

154 PS 14 157 PS 37 158 PS 45 162 PS 73 166 PS 99 170 PS 131 173 PS 149 179 PS 191 179 PS 192 276 DS 24 277 DS 33


25 DS D37 158 PS 50 161 PS 70 170 PS 126 171 PS 134 172 PS 143 182 PS 209 183 PS 216 278 DS 43 280 DS 65 280 DS 67 284 DS 104


Page # Question # 166 PS 100 170 PS 129 174 PS 160 180 PS 199 185 PS 229 279 DS 47 283 DS 92 283 DS 96 283 DS 99 284 DS 101 285 DS 118 291 DS 167

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Algebra Problem Solving by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th Editions (pgs. 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review, 2nd Edition (pgs. 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th Editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 and 13th Editions (pgs. 20−23). Linear Equations 2015 Edition: 24, 29, 42, 47, 51, 54, 55, 64, 72, 83, 93, 102, 131, 153, 167, 184, 187, 220 Quantitative Review: 2, 3, 13, 17, 19, 40, 41, 62, 75, 99, 107, 111, 115, 122, 128 Exponents & Roots 2015 Edition: 9, 35, 52, 106, 120, 122, 164, 180, 196, 217, 227, 230, D17 Quantitative Review: 36, 47, 55, 74, 96, 97, 106, 108, 147, 163, 166, 170 Quadratic Equations 2015 Edition: 37, 45, 99, 157, 169, 191, 199, 209, 216, 223, D16 Quantitative Review: 5, 20, 57, 72, 103, 121, 133 Formulas 2015 Edition: 70, 100, 126, 129, 134, 149, 156, 160, 190, D03 Quantitative Review: 1, 28, 65, 67, 77, 91, 113, 131, 158 Inequalities 2015 Edition: 14, 50, 73, 130, 138, 143, 176, 192, 229 Quantitative Review: 42, 86, 92, 120, 134, 156

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Algebra Data Sufficiency by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th Editions (pgs. 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review, 2015 and 2nd Editions (pgs. 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th Editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 Edition (pgs. 24−26). Linear Equations 2015 Edition: 17, 36, 44, 45, 57, 59, 60, 86, 98, 132, 136, 153, 156, 171, D35 Quantitative Review: 11, 12, 15, 23, 26, 27, 29, 35, 57, 61, 80, 94, 106, 124 Exponents & Roots 2015 Edition: 1, 15, 41, 53, 160, 162, 172, D44 Quantitative Review: 18, 25, 28, 31, 54, 76, 79, 81, 109, 110, 113, 121 Quadratic Equations 2015 Edition: 67, 99 Quantitative Review: 37, 46, 62, 73, 83, 100, 105 Formulas 2015 Edition: 24, 96, 104, 118 Quantitative Review: 96, 102, 107, 111 Inequalities 2015 Edition: 33, 43, 47, 48, 50, 52, 65, 82, 85, 92, 101, 158, 167, D33, D37 Quantitative Review: 32, 40, 42, 49, 51, 52, 56, 68, 69, 89, 120

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Word Problems OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Word Problems Strategy Guide.

Working Backwards Strategy Set It’s time to test out your skills on a few problems from The Official Guide for GMAT Review (2015 and 13th Editions) and one question from the Quantitative Review (2015 and 2nd Editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered by Working Backwards. To get the most from this exercise, first decide whether the problem can be answered by Working Backwards. If not, use another method to solve. To check whether we recommend Working Backwards for each problem in the set, either turn the page to read the answer key, or look up the explanation in GMAT Navigator™. The Official Guide for GMAT Review (2015 and 13th Editions) 1. Problem Solving #1 (pg. 152) 3. Problem Solving #137 (pg. 171) 2. Problem Solving #30 (pg. 156) 4. Problem Solving #208 (pg. 181) Quantitative Review (2015 and 2nd Editions) 5. Problem Solving #25 (pg. 65)

Smart Numbers Strategy Set It’s time to test out your skills on a few problems from The Official Guide for GMAT Review (2015 and 13th Editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered using Smart Numbers. To get the most from this exercise, first decide whether the problem can be answered using Smart Numbers. If it cannot be answered using Smart Numbers, answer the question algebraically. If it can, answer the question both algebraically and using Smart Numbers, and decide which method you prefer. To check whether we recommend using Smart Numbers for each problem in the set, either turn the page to read the answer key, or look up the explanation in GMAT Navigator™. The Official Guide for GMAT Review (2015 and 13th Editions) 1. Problem Solving #4 (pg. 152) 4. Problem Solving #88 (pg. 164) 2. Problem Solving #38 (pg. 157) 5. Problem Solving #140 (pg. 172) 3. Problem Solving #81 (pg. 163) 6. Problem Solving #205 (pg. 181)

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Word Problems Working Backwards Solutions The Official Guide for GMAT Review (2015 and 13th Editions) 1. Problem Solving #1 Cannot Work Backwards. 2. Problem Solving #30 Can Work Backwards. 3. Problem Solving #137 Can Work Backwards. 4. Problem Solving #208 Can Work Backwards. Quantitative Review (2015 and 2nd Editions) 5. Problem Solving #25 Can Work Backwards.

Word Problems Smart Numbers Solutions 1. Problem Solving #4 Can Use Smart Numbers 2. Problem Solving #38 Can Use Smart Numbers 3. Problem Solving #81 (pg. 163) Can Use Smart Numbers 4. Problem Solving #88 (pg. 164) Cannot Use Smart Numbers 5. Problem Solving #140 (pg. 172) Can Use Smart Numbers 6. Problem Solving #205 (pg. 181) Cannot Use Smart Numbers

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Word Problems Mid-Book Quiz

Now that you’re halfway through the Word Problems guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions).

Easier Set: 24 Minutes

Page # Question # 155 PS 23 156 PS 34 165 PS 96 171 PS 139 173 PS 153 179 PS 189 275 DS 9 276 DS 12 276 DS 16 277 DS 28 285 DS 116 287 DS 137


Page # Question # 158 PS 49 164 PS 89 171 PS 136 181 PS 203 181 PS 207 184 PS 222 279 DS 49 280 DS 68 281 DS 78 283 DS 94 284 DS 106 286 DS 124


Page # Question # 21 PS D06 22 PS D14 23 PS D24 25 DS D29

160 PS 60 164 PS 85 281 DS 71 283 DS 90 283 DS 93 285 DS 115 287 DS 134 287 DS 138

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Word Problems Final Quiz

Here’s the final quiz; use this when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. and Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions).

Easier Set: 24 Minutes Page # Question #

153 PS 12 154 PS 16 156 PS 33 161 PS 67 164 PS 90 173 PS 154 184 PS 221 276 DS 20 278 DS 38 282 DS 87 283 DS 95 288 DS 146


165 PS 91 167 PS 109 169 PS 124 184 PS 224 278 DS 37 280 DS 64 281 DS 70 282 DS 84 284 DS 110 285 DS 112 286 DS 123 289 DS 154



167 PS 112 168 PS 119 174 PS 158 176 PS 172 178 PS 183 281 DS 77 284 DS 105 284 DS 109 287 DS 139 288 DS 143

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Word Problems Problem Solving by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs. 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs. 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs. 20−23). Translations 2015 Edition: 1, 4, 60, 88, 89, 137, 140, 203, 205 Quantitative Review: 25, 51, 94, 124, 171 Rates & Work 2015 Edition: 23, 34, 38, 49, 79, 81, 86, 103, 139, 162, 168, 207, D24 Quantitative Review: 16, 23, 37, 87, 119, 130, 140, 142, 173 Overlapping Sets 2015 Edition: 25, 96, 136, 178, 186, 189, 201, 222, D04, D06, D14 Quantitative Review: 18, 64, 146 Statistics 2015 Edition: 12, 30, 53, 91, 101, 109, 112, 119, 132, 145, 183, 208, D09 Quantitative Review: 32, 63, 80, 81, 84, 104, 116, 129, 148, 161 Weighted Averages 2015 Edition: 16, 185, 224 Quantitative Review: 54, 137, 154 Consecutive Integers 2015 Edition: 67, 90, 124, 158, 172, 221, D02 Quantitative Review: 11, 56, 70 Extra Problem Types 2015 Edition: 33, 39, 76, 154 Quantitative Review: 110, 136, 168

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Word Problems Data Sufficiency by Topic This set is from The Official Guide for GMAT Review (2015 and 2nd Editions) (pgs. 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs. 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs. 24−26). Translations 2015 Edition: 9, 28, 54, 71, 78, 107, 124, 126, 141, 142, 147, 163, D27, D30 Quantitative Review: 6, 13, 50, 84, 108 Rates & Work 2015 Edition: 12, 16, 22, 68, 90, 106, 108, 115, D38 Quantitative Review: 38, 47, 55, 71, 117 Overlapping Sets 2015 Edition: 5, 21, 29, 34, 49, 66, 93, 94, 116, 134, 137, 138, D29, D34, D47 Quantitative Review: 10, 63, 85, 116 Statistics 2015 Edition: 20, 37, 38, 84, 87, 109, 110, 120, 121, 123, 139, 143, 144, 146, 154, D31, D32, D43, D46 Quantitative Review: 1, 14, 34, 41, 74, 101, 103, 118 Weighted Averages 2015 Edition: 70, 77, 105 Quantitative Review: 75 Consecutive Integers 2015 Edition: 18, 64, 95, 112 Quantitative Review: 20, 21, 66, 86, 112 Extra Problem Types 2015 Edition: 6, 89, 103, 140, D45 Quantitative Review: 8

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Geometry OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Geometry Strategy Guide.

Mid-Book Quiz Now that you’re halfway through the Geometry guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 14 Minutes

Page # Question # 154 PS 18 160 PS 62 165 PS 92 174 PS 159 275 DS 4 276 DS 19 279 DS 56


Page # Question # 163 PS 78 166 PS 104 169 PS 121 175 PS 165 180 PS 197 278 DS 42 281 DS 73 289 DS 149


Page # Question # 22 PS D19 26 DS D48

175 PS 166 286 DS 128 286 DS 130 291 DS 166

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Geometry Final Quiz

Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 14 Minutes

Page # Question # 153 PS 7 161 PS 69 177 PS 175 275 DS 11 277 DS 30 283 DS 100 285 DS 117



182 PS 211 281 DS 74 284 DS 102



285 DS 119 286 DS 122 290 DS 155

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Geometry Problem Solving by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23). Lines & Angles 13th Edition: no problems Quantitative Review: 7, 30 Polygons 13th Edition: 3, 13, 18, 62, 78, 121, 147, 166 Quantitative Review: 15, 24, 89, 135, 139, 175 Triangles & Diagonals 13th Edition: 75, 92, 104, 159, 161, 165, 197, 210, D10, D19 Quantitative Review: 44, 71, 76, 150, 157 Circles & Cylinders 13th Edition: 36, 175, D5, D20, D22 Quantitative Review: 33, 141, 145, 153, 162 Coordinate Plane 13th Edition: 7, 28, 43, 61, 69, 202, 206, 211, 213 Quantitative Review: 21, 83, 85, 102, 123

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Geometry Data Sufficiency by Topic This set is from The Official Guide for GMAT Review (2015 and 2nd Editions) (pgs 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 2nd Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 2nd Editions) (pgs 24−26). Lines & Angles 13th Edition: no problems Quantitative Review: 72 Polygons 13th Edition: 4, 42, 130, 145, 166 Quantitative Review: 4, 60 Triangles & Diagonals 13th Edition: 19, 56, 73, 79, 113, 128, 149, 152, D28, D48 Quantitative Review: 19, 43, 65, 88, 91, 114, 123 Circles & Cylinders 13th Edition: 30, 35, 100, 102, 117, 119, 122, 165, D36 Quantitative Review: 58, 59, 95, 99 Coordinate Plane 13th Edition: 11, 74, 129, 155, D39 Quantitative Review: 22

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Number Properties OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Number Problems Strategy Guide.

Testing Cases Strategy Set It’s time to practice your Testing Cases skills on a few problems from The Official Guide for GMAT Review (2015 and 13th editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered by Testing Cases. To get the most from this exercise, first decide whether the problem can be answered by Testing Cases. If it cannot be answered by Testing Cases, use another method to solve. To check whether we recommend Testing Cases for each problem in the set, either turn the page to read the answer key or look up the explanation in GMAT Navigator™. 1. Problem Solving #87 (pg. 164) 2. Problem Solving #155 (pg. 174) 3. Problem Solving #225 (pg. 184) 4. Problem Solving #D18 (pg. 22) 5. Data Sufficiency #69 (pg. 281) 6. Data Sufficiency #72 (pg. 281) 7. Data Sufficiency #173 (pg. 291)

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Number Properties Testing Cases Solutions 1. Problem Solving #87 Can Test Cases 2. Problem Solving #155 Cannot Test Cases 3. Problem Solving #225 Can Test Cases 4. Problem Solving #D18 Cannot Test Cases 5. Data Sufficiency #69 Can Test Cases 6. Data Sufficiency #72 Can Test Cases 7. Data Sufficiency #173 Can Test Cases

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Number Properties Final Quiz

Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 22 Minutes

Page # Question # 155 PS 26 156 PS 32 162 PS 74 167 PS 107 176 PS 173 275 DS 3 276 DS 13 276 DS 14 277 DS 27 284 DS 111 290 DS 164


Page # Question # 25 DS D26 26 DS D41 26 DS D42



Page # Question # 21 PS D07 22 PS D15 23 PS D23


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Number Properties Problem Solving by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23). Divisibility & Primes 13th Edition: 2, 5, 26, 40, 74, 77, 87, 95, 110, 116, 117, 118, 127, 155, 174, 204, 219, D13, D15, D18, D23 Quantitative Review: 68, 78, 98, 109, 112, 125, 144, 149, 164, 169, 172 Odds & Evens 13th Edition: 44, 225 Quantitative Review: 31, 152 Positives & Negatives 13th Edition: 32 Quantitative Review: 117 Combinatorics 13th Edition: 128, 133, 148, 228, D11 Quantitative Review: 132, 151 Probability 13th Edition: 10, 68, 107, 173, 193, 215, D07 Quantitative Review: 79, 160

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Number Properties Data Sufficiency by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 24−26). Divisibility & Primes 13th Edition: 58, 83, 135, D26, D42 Quantitative Review: 3, 7, 16, 39, 45, 64, 70, 82, 87, 90, 92, 115 Odds & Evens 13th Edition: 7, 14, 27, 32, 72, 111, 173 Quantitative Review: 78 Positives & Negatives 13th Edition: 13, 69, 97, 159, 164, D41 Quantitative Review: 24, 98 Combinatorics 13th Edition: no problems Quantitative Review: no problems Probability 13th Edition: 3, 39, 125 Quantitative Review: 122

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Critical Reasoning OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Critical Reasoning Strategy Guide.

Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). “CR” stands for Critical Reasoning. Easier Set: 24 Minutes Page # Question #

506 CR 22 508 CR 28 508 CR 29 510 CR 34 510 CR 35 511 CR 37 511 CR 38 512 CR 41 512 CR 42 514 CR 48 515 CR 49 517 CR 58


513 CR 43 518 CR 62 519 CR 65 520 CR 66 520 CR 68 521 CR 70 523 CR 76 525 CR 81 526 CR 84 526 CR 86 530 CR 100 532 CR 106


Page # Question # 516 CR 54 523 CR 77 527 CR 88 527 CR 89 529 CR 94 529 CR 95 530 CR 98 531 CR 101 534 CR 113 535 CR 116 537 CR 121 538 CR 124

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Critical Reasoning by Topic This set is from The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 33−39 & 500−538), and The Official Guide for GMAT Verbal Review, (2015 and 2nd editions) (pgs. 116−151). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do many of the Critical Reasoning questions from The Official Guide for GMAT Review (2015 and 13th editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 33−39). Describe the Argument 2015 Edition: 8, 34, 84, 85, 123 Verbal Review: no problems Describe the Role 2015 Edition: 18, 28, 63, 76, 78, 89, 98, 116 Verbal Review: 48, 74, 79 Find the Assumption 2015 Edition: 21, 39, 41, 46, 48, 75, 77, 83, 93, 96, 106, 109, 113, D28 Verbal Review: 7, 34, 44, 52, 56, 63, 67, 76 Strengthen the Argument 2015 Edition: 1, 5, 7, 11, 12, 14, 16, 19, 23, 29, 30, 31, 33, 35, 40, 45, 50, 52, 53, 55, 56, 59, 64, 65, 67, 69, 80, 81, 95, 101, 102, 108, 111, 118, 120, 121, D25, D27, D32 Verbal Review: 1, 2, 6, 9, 13, 17, 21, 23, 25, 29, 30, 32, 33, 35, 37, 45, 51, 55, 58, 62, 65, 68, 69, 77, 78, 82 Weaken the Argument 2015 Edition: 4, 25, 32, 37, 43, 58, 62, 71, 73, 79, 82, 87, 88, 90, 97, 107, 112, 115, 117, 119, 122, D18, D20, D23, D26, D30, D34 Verbal Review: 4, 5, 11, 15, 16, 18, 20, 22, 24, 26, 27, 31, 36, 39, 41, 46, 47, 49, 50, 71, 80, 81, 83 Evaluate the Argument 2015 Edition: 10, 15, 27, 36, 42, 47, 68, 70, 72, 110, 114, 124, D21, D22, D29 Verbal Review: 3, 40, 42, 54, 66, 70

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Find the Flaw 2015 Edition: 2, 20, 51, 100 Verbal Review: no problems Inference 2015 Edition: 26, 38, 54, 60, 66, 74, 91, 103, 104, 105, D24, D31 Verbal Review: 10, 12, 14, 19, 43, 53, 57, 64, 75 Explain the Discrepancy 2015 Edition: 3, 6, 9, 13, 17, 22, 24, 44, 49, 57, 61, 86, 92, 94, 99, D19, D33 Verbal Review: 8, 59, 60, 61, 72, 73

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Reading Comprehension OG Problem Sets It’s time to test your skills on passages that have actually appeared on real GMAT exams in the past. You can find passages in The Official Guide for GMAT Review (2015 and 13th Edition) (pages 27–32 & 364–417) and The Official Guide for GMAT Verbal Review (2015 and 2nd Edition) (pages 22–58). Do one passage at a time, or build a mixed set that includes Sentence Correction and Critical Reasoning problems. Here’s how to get the most out of each passage: 1. Give yourself approximately 2 to 2.5 minutes to read shorter passages

and 3 minutes to read longer ones. Spend up to 60 seconds to answer General questions and 90 seconds to answer Specific ones.

2. On the real test, you will see only one question at a time, so don’t look at all questions before reading the passage.

3. As you read the passage, tell yourself the Simple Story. By the time you’re done, make sure that you can articulate the Point and that you have a rough Map of the passage, either on paper or in your brain.

4. If the passage has more than 4 questions, answer only the odd-numbered questions. You’ll do this passage again sometime in the future; the next time, you’ll answer the even-numbered questions. (The real test does not give more than 4 questions per passage.)

5. Follow your four-step process for answering questions. (1) Identify the Question

(2) Find the Support (3) Predict an Answer (4) Eliminate and Find a Match

6. To keep it simple, use these guidelines when studying from OG books:

Shorter passage, 3 questions about 6 minutes

Shorter passage, 4 questions or Longer passage, 3 questions

about 7 minutes

Longer passage, 4 questions about 8 minutes

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Sentence Correction OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Sentence Correction Strategy Guide.

Mid-Book Quiz Now that you’re halfway through the Sentence Correction guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “SC” stands for Sentence Correction. Easier Set: 16 Minutes

Page # Question # 673 SC 6 674 SC 12 675 SC 19 676 SC 25 677 SC 30 679 SC 45 680 SC 49 682 SC 58 682 SC 59 683 SC 65 688 SC 88 692 SC 110





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Sentence Correction Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “SC” stands for Sentence Correction. Easier Set: 16 Minutes Page # Question #

672 SC 4 674 SC 11 674 SC 13 674 SC 15 675 SC 18 675 SC 23 676 SC 24 676 SC 27 681 SC 54 690 SC 99 693 SC 116 695 SC 125


677 SC 32 678 SC 40 679 SC 46 681 SC 52 681 SC 53 681 SC 55 681 SC 56 684 SC 69 688 SC 90 691 SC 107 692 SC 111 693 SC 115



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Sentence Correction by Topic This set is from The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 40−44 & 672−697), and The Official Guide for GMAT Verbal Review (2015 and 2nd editions) (pgs. 244−267). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do many of the Critical Reasoning questions from The Official Guide for GMAT Review (2015 and 13th editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 40−44). Meaning 2015 Edition: 10, 14, 20, 21, 25, 31, 39, 49, 58, 94, 96, 135 Verbal Review: 3, 18, 22, 54, 72 Subject/Verb Agreement 2015 Edition: 3, 6, 7, 16, 30, 45, 61, 67, 70, 81, 103, 129, 133, 140, D41, D43 Verbal Review: 10, 11, 14, 20, 34, 35, 65, 101 Connecting Punctuation 2015 Edition: 2, 26, 97, 118 Verbal Review: no problems Modifiers 2015 Edition: 1, 12, 19, 22, 35, 41, 47, 48, 59, 62, 65, 68, 73, 82, 83, 88, 101, 102, 104, 106, 110, 112, 113, 117, 123, 126, 132, D40, D44, D49 Verbal Review: 8, 9, 31, 33, 42, 57, 59, 69, 71, 75, 82, 83, 84, 88, 90, 92, 96, 100, 108, 109, 110, 111 Parallelism 2015 Edition: 4, 8, 13, 15, 17, 18, 27, 28, 29, 37, 38, 46, 52, 53, 55, 56, 57, 63, 66, 74, 75, 79, 80, 84, 86, 87, 92, 109, 116, 121, 127, 134, 137, 138, D36, D39, D46, D48, D50, D51 Verbal Review: 1, 2, 4, 5, 7, 15, 17, 24, 26, 27, 45, 46, 49, 52, 53, 55, 58, 60, 61, 63, 67, 77, 78, 86, 91, 94, 95, 106, 112 Comparisons 2015 Edition: 9, 11, 24, 32, 43, 85, 98, 99, 107, 108, 124, 125, 130, 136, 139, D35, D37, D47, D52 Verbal Review: 13, 25, 32, 41, 44, 66, 85, 87, 93, 97, 102, 103

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Pronouns 2015 Edition: 93, 100, 111, 114, 115, 131, D42 Verbal Review: 16, 19, 21, 29, 36, 40, 43, 48, 50, 51, 62, 64, 68, 70, 80, 98, 105 Verbs 2015 Edition: 23, 40, 42, 54, 69, 71, 72, 77, 89, 90, 91, 128 Verbal Review: 30, 37, 38, 39, 56, 74, 76, 79, 81, 89, 99, 104 Idioms 2015 Edition: 5, 33, 34, 36, 44, 50, 51, 60, 64, 76, 78, 95, 105, 119, 120, 122, D38, D45 Verbal Review: 6, 12, 23, 28, 47, 73, 107, 113

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