tag:blogger.com,1999:blog-52622653586538686712024-02-20T04:31:14.434-08:00GMAT Key takeawaysMotto -- Catch the Snapshot of Important Concepts on GMAT which are frequently tested.
Feel free to add any concepts which u think is relevant.Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.comBlogger28125tag:blogger.com,1999:blog-5262265358653868671.post-23536796230003934762011-04-14T11:46:00.000-07:002011-04-14T11:47:05.321-07:00Factors<span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13px; ">Recall also that any perfect square has an odd number of factors. If there is an even number of even factors, that means there must be an odd number of odd factors. An odd number of odds added together will be odd. So the sum of the factors of the number will be even + odd = odd.</span><div><span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13px; "><br /></span></div><div><span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13px; ">Refer to MGMAT CAT 5 Q 35. { revise before exam}</span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-21773477627838243852011-04-11T23:46:00.000-07:002011-04-11T23:47:48.190-07:00Perimeter<div><br /></div><div>When we calculate the perimeter of a figure we should concentrate on the boundary layers not the inner ones.</div><div><br /></div><div>See Ex MGMAT 4 , Q 12</div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-90806604586377292822011-04-11T10:22:00.001-07:002011-04-11T10:23:40.441-07:00BenchmarkingBenchmarking is an important technique - It helps to solve irritating decimal questions. Practice some of these kinds. It is definitely going to help you on the exam.Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-85392056041316933712011-04-11T07:42:00.001-07:002011-04-11T08:05:09.631-07:00MEAN, Median<span class="Apple-style-span" style=" -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:13px;"><div><span class="Apple-style-span" style="font-size: large;">For any evenly spaced set, the mean of the set is always equal to the median. A set of consecutive integers is an example of an evenly spaced set. If we find the mean of this set, we will be able to find the median because they are the same.</span></div><div><span class="Apple-style-span" style="font-size: large;"><br /></span></div><div><span class="Apple-style-span" style="font-size: large;">This applies only for consecutive integers sets not for sets which contain multiples. Test the nos to prove & grasp</span></div><div><br /></div></span>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-65240635925176590282011-04-11T07:40:00.001-07:002011-04-11T07:40:22.346-07:00Strategy- DS<span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; ">Remember, on data sufficiency GMAT questions, a definite "no" answer is sufficient, just as a definite "yes" answer is sufficient. A statement will be insufficient only when the answer is "maybe" or "it cannot be determined."</span>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-11305095990878351072011-04-11T07:34:00.000-07:002011-04-11T08:16:33.241-07:00REVISION QUESTIONS<div><br /></div><div>Q6, Quant, MGMAT CAT 4, Marble ratios</div><div><br /></div><div>Q10, Quant, MGMAT CAT 4, Reverse Primes</div><div><br /></div><div><br /></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-62826983013095031562011-04-11T07:13:00.000-07:002011-04-11T07:39:08.033-07:00Inequalities<div><br /></div><div>While dealing with inequality questions:</div><div><br /></div><div>1) If there is too much of a hastle testing values: Try to figure out the conceptual approach. Might help.</div><div><br /></div><div>2) <span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; ">Generally, it is not a good idea to divide an equation or inequality by a variable since dividing by zero is illegal, and a variable might be equal to zero.</span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-73045348813062806292011-04-11T07:03:00.000-07:002011-04-11T07:05:01.495-07:00<div style="text-align: justify;"><span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 13px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; ">A quantity that is cubed retains its original sign: if it starts out positive, it remains positive and if it starts out negative, it remains negative. </span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-73947455975606106512011-04-11T07:00:00.000-07:002011-04-11T07:01:24.960-07:00Brahamastra<div><br /></div><div>Keep Cool. Read Properly. KKEEP IT COOL</div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-14910170499704435492011-04-06T11:15:00.000-07:002011-04-06T11:16:07.498-07:00Decimals<span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; font-size: 14px; -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; ">tenths digit is the first digit to the right of the decimal point. </span>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-68010613657815582112011-04-06T00:19:00.001-07:002011-04-11T22:13:07.167-07:00Similar Triangles<span class="Apple-style-span" style=" -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:13px;">Triangles are defined as similar if all their corresponding angles are equal or if the lengths of their corresponding sides have the same ratios.</span><div><span class="Apple-style-span" style=" -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:13px;"><br /></span></div><div><span class="Apple-style-span" style=" -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:13px;"><span class="Apple-style-span" style="font-size: 13px; ">First, recall that in a right triangle, the two shorter sides intersect at the right angle.</span></span></div><div><span class="Apple-style-span" style=" -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:13px;"><span class="Apple-style-span" style="font-size: 13px; "><br /></span></span></div><div><span class="Apple-style-span" style=" -webkit-border-horizontal-spacing: 2px; -webkit-border-vertical-spacing: 2px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:13px;"><span class="Apple-style-span" style="font-size: 13px; ">if two similar figures have lengths in a given ratio (say <em>A</em>:B), then their areas will have a ratio that is the square of this length ratio (i.e.,<em>A</em><sup>2</sup>:<em>B</em><sup>2</sup>). Conversely, if the areas are in a given ratio, then the lengths will be in the square root of that ratio. ( Look at MGMAT CAT 4. q 19) Excellent example.</span></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-53864275178506667122011-03-31T00:08:00.000-07:002011-03-31T00:09:05.829-07:00QUANTITY<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="text-decoration: underline ; letter-spacing: 0.0px"><b>QUANTITY STUFF:</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="text-decoration: underline ; letter-spacing: 0.0px">Countable</span><span style="letter-spacing: 0.0px"> vs </span><span style="text-decoration: underline ; letter-spacing: 0.0px">Non</span><span style="letter-spacing: 0.0px">-</span><span style="text-decoration: underline ; letter-spacing: 0.0px">Countable</span><span style="letter-spacing: 0.0px"> </span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px">Many Much</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px">Few Less</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px">Number Amount</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px">Numerous Greater</span></p><div><span style="letter-spacing: 0.0px"><br /></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-40593104677095551372011-03-31T00:06:00.000-07:002011-03-31T00:07:15.499-07:00Semicolon<p style="margin: 0.0px 0.0px 0.0px 18.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>SEMI COLON IS OFTEN FOLLOWED BY A CONJUCTIVE ADVERB:</b></span></p> <ul> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"><b>“HOWEVER”</b></span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"><b>“THEREFORE”</b></span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"><b>“IN ADDITION”</b></span></li> </ul> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"><b></b></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Wrong: </b>Andrew and Lisa are inseparable, THEREFORE, we never see them apart</span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b><span class="Apple-tab-span" style="white-space:pre"> </span>-</b> THEREFORE needs a semi colon before it</span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Right: </b>Andrew and Lisa are inseparable; THEREFORE, we never see them apart</span></p><div><span style="letter-spacing: 0.0px"><br /></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-50487807226462665262011-03-31T00:04:00.001-07:002011-03-31T00:04:59.177-07:00Connecting words<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="text-decoration: underline ; letter-spacing: 0.0px"><b>Common Connecting Words:</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Coordinating Conjunctions: </b>FOR, AND, NOR, BUT, OR, YET, SO</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Subordinators: </b>ALTHOUGH, BECAUSE, BEFORE, AFTER, SINCE</span></p><div><span style="letter-spacing: 0.0px"><br /></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-30956501447055464172011-03-30T23:40:00.000-07:002011-03-30T23:48:23.988-07:00<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="text-decoration: underline ; letter-spacing: 0.0px"><b>WHO VS WHOM </b></span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="text-decoration: underline ; letter-spacing: 0.0px"><b></b></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>- </b>Use <b>WHOM</b> when referring to the object of the sentence:</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>Ex: This is the man whom I wanted to speak</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>- Change to question: “Who did I want to speak with?” </span></p> <p style="margin: 0.0px 0.0px 0.0px 108.0px; text-indent: 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px">“I wanted to speak with HIM”</span></p> <p style="margin: 0.0px 0.0px 0.0px 108.0px; text-indent: 36.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px">- Use <b>WHO</b> to refer to the subject of a verb</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>EX: I really hate the guy who stole my girlfriend</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>- Change to question: “Who stole my girlfriend?”</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>“HE stole my girlfriend”</span></p><div><span style="letter-spacing: 0.0px"><br /></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-88941830120289261252011-03-30T23:37:00.000-07:002011-03-30T23:38:06.325-07:00Relative pronouns<p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>WHICH</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> Modifies <b>THINGS</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>THAT</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> CANNOT modify <b>PEOPLE</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>WHO</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> Modifies <b>PEOPLE</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>WHOSE</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> Can modify <b>PEOPLE or THINGS</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>WHOM</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> Modifies <b>PEOPLE</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>WHERE</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> Modifies a <b>NOUN PLACE</b> (area, city, state, region, etc)</span></p> <p style="margin: 0.0px 0.0px 0.0px 36.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>WHEN</b> </span><span style="font: 12.0px Wingdings; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px"> Modifies a <b>NOUN TIME/EVENT</b> (1800s, last decade, etc)</span></p><div><span style="letter-spacing: 0.0px"><br /></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-3036763380103000872011-03-30T23:09:00.000-07:002011-03-30T23:13:58.219-07:00<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="text-decoration: underline ; letter-spacing: 0.0px"><b>Pronoun Case:</b></span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Subject Pronouns- </b>can be the subject of sentences</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>Ex: I, you, she, he, it, we, they who</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>“<b>they</b> arrived late”</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Object Pronouns- </b>can be the object of verbs</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>Ex: me, you, him, her, it, us, them, whom</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>“no one <i>saw</i> <b>them</b> or <i>talked</i> <i>about</i> <b>them</b>”</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'; min-height: 15.0px"><span style="letter-spacing: 0.0px"></span><br /></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b>Possessive Pronouns- </b>indicate ownership<span class="Apple-tab-span" style="white-space:pre"> </span></span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>Ex: my/mine, your/yours, his, her/hers, its, ours/our, whose</span></p> <p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><span class="Apple-tab-span" style="white-space:pre"> </span>“<b>Their</b> <i>presence</i> went unnoticed”</span></p><div><span style="letter-spacing: 0.0px"><br /></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-75382556750994463842011-03-30T23:07:00.000-07:002011-03-30T23:08:16.836-07:00Linking verbs<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="letter-spacing: 0.0px"><b><i>Linking Verbs: WATCH OUT- They are Parallel markers!</i></b></span></p> <ul> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">To be</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Are</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Was</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Were</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px Symbol"><span style="letter-spacing: 0.0px"></span><span style="font: 12.0px 'Times New Roman'; letter-spacing: 0.0px">Am</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Been</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Being</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Become</span></li> <li style="margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Times New Roman'"><span style="font: 12.0px Symbol; letter-spacing: 0.0px"></span><span style="letter-spacing: 0.0px">Feel</span></li> </ul>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-25872098323881235112011-03-30T23:04:00.000-07:002011-03-30T23:05:09.363-07:00PronounsSANAM Pronouns- Can be either Singular or Plural<br /><br />Some<br />Any<br />None<br />All<br />More/MostAnkurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-56299715289511715352011-03-26T00:02:00.001-07:002011-03-26T00:02:54.541-07:00Conjunctive adverbs<span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; border-collapse: collapse; color: rgb(28, 30, 31); font-size: 12px; line-height: 18px; ">Conjunctive Adverb (CA) -> Semicolon is often followed by a CA. In this way, we can modify the equal relationship that a bare semicolon implies. CA list: however, therefore, nonetheless, nevertheless, in addition. These CA must be preceded by a semicolon and not by a COMMA.<br /></span>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-25160362354560555292011-03-10T05:57:00.000-08:002011-03-10T05:59:14.816-08:00Geometry<span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; border-collapse: collapse; color: rgb(28, 30, 31); font-size: 12px; line-height: 18px; "><span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 12px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; text-decoration: underline; background-position: initial initial; background-repeat: initial initial; ">Two tangents can always be drawn to a circle from any point outside the circle, and these tangents are equal in length</span> .</span><div><span class="Apple-style-span" style="font-family:Verdana, Arial, Helvetica, sans-serif;font-size:100%;color:#1C1E1F;"><span class="Apple-style-span" style="border-collapse: collapse; font-size: 12px; line-height: 18px;"><br /></span></span></div><div><span class="Apple-style-span" style="font-family:Verdana, Arial, Helvetica, sans-serif;font-size:100%;color:#1C1E1F;"><span class="Apple-style-span" style="border-collapse: collapse; font-size: 12px; line-height: 18px;"><br /></span></span><div><span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; border-collapse: collapse; color: rgb(28, 30, 31); font-size: 12px; line-height: 18px; "><br /></span></div><div><span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; border-collapse: collapse; color: rgb(28, 30, 31); font-size: 12px; line-height: 18px; "><br /></span></div></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-49420730484714899042011-03-10T01:52:00.000-08:002011-03-10T01:53:21.453-08:00Verb -To be<img src="webkit-fake-url://B9B91CAF-FFED-4BBA-AD5F-B0C719F2D4A1/image.tiff" /><div><br /></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-86754402160771599702011-03-09T03:52:00.000-08:002011-03-09T03:54:57.933-08:00SC-Conditional forms<span class="Apple-style-span" style="font-family: Verdana, Arial, Helvetica, sans-serif; color: rgb(28, 30, 31); font-size: 13px; line-height: 18px; "><p style="margin-top: 0px; margin-right: 0px; margin-bottom: 12px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; "><span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(255, 0, 0); background-position: initial initial; background-repeat: initial initial; ">Conditional I</span>: If…condition in <span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(51, 153, 102); background-position: initial initial; background-repeat: initial initial; ">present</span> tense……result in <span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(255, 102, 0); background-position: initial initial; background-repeat: initial initial; ">present/future</span> tense<br /><strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">Examples:</strong><br />If you <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">invest</strong> your capital in bonds, it <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">generates</strong> income.<br />If you <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">invest</strong> your capital in bonds, it <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">will generate</strong> income.<br /><span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(255, 0, 0); background-position: initial initial; background-repeat: initial initial; "><br />Conditional II</span>: if….condition in <span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(51, 153, 102); background-position: initial initial; background-repeat: initial initial; ">past</span> tense….result in <span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(255, 102, 0); background-position: initial initial; background-repeat: initial initial; ">would + verb</span><br /><strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">Example</strong>:<br />If you <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">invested</strong> your capital in bonds, it <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">would generate</strong> income</p><p style="margin-top: 0px; margin-right: 0px; margin-bottom: 12px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; "><span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(255, 0, 0); background-position: initial initial; background-repeat: initial initial; ">Conditional III</span>: if….condition in <span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(51, 153, 102); background-position: initial initial; background-repeat: initial initial; ">had+V3</span>…..result in <span style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; color: rgb(255, 102, 0); background-position: initial initial; background-repeat: initial initial; ">would+have+V3</span><br /><strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">Example:</strong><br />If you <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">had invested</strong> your capital in bonds, it <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">would have generated</strong> income.</p><p style="margin-top: 0px; margin-right: 0px; margin-bottom: 12px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">Note that the order of the “condition” part and the “result” part can be reversed, but the structure must remain the same. For example, we could invert the order of the second conditional example, and it is still correct, as long as we maintain form:</p><p style="margin-top: 0px; margin-right: 0px; margin-bottom: 12px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">Your capital <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">would generate</strong> income, If you <strong style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">invested</strong> it in bonds.</p><p style="margin-top: 0px; margin-right: 0px; margin-bottom: 12px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; border-top-width: 0px; border-right-width: 0px; border-bottom-width: 0px; border-left-width: 0px; border-style: initial; border-color: initial; outline-width: 0px; outline-style: initial; outline-color: initial; font-size: 13px; vertical-align: baseline; background-image: initial; background-attachment: initial; background-origin: initial; background-clip: initial; background-color: transparent; background-position: initial initial; background-repeat: initial initial; ">This is why it’s important to think in terms of “condition (if) part” and “result part” – not in terms of “first” and “second” parts.</p></span>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-59882944375614084962011-02-21T08:47:00.001-08:002011-02-21T08:47:44.892-08:00Number PropertiesWhole numbers are natural nos Union Zero.Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0tag:blogger.com,1999:blog-5262265358653868671.post-78943269490074914072011-02-21T05:24:00.000-08:002011-03-09T07:41:33.952-08:00Statistics<span class="Apple-style-span" style=" border-collapse: collapse; color: rgb(28, 30, 31); line-height: 18px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:12px;">By definition, the median of the combined set (A) must be any value at or between the medians of the two smaller sets (B and C).</span><div><span class="Apple-style-span" style=" border-collapse: collapse; color: rgb(28, 30, 31); line-height: 18px; font-family:Verdana, Arial, Helvetica, sans-serif;font-size:12px;"><br /></span></div><div><span class="Apple-style-span" style="font-family:Verdana, Arial, Helvetica, sans-serif;font-size:100%;color:#1C1E1F;"><span class="Apple-style-span" style="border-collapse: collapse; line-height: 18px;font-size:12px;">Look at the link for example:http://www.beatthegmat.com/manhattan-gmat-700-challenge-problem-august-7-2006-t357.html</span></span></div>Ankurhttp://www.blogger.com/profile/16799024313433482635noreply@blogger.com0