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									TathaGat CAT Forums - Recent Topics				            </title>
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                        <title>Simple and Compound Interests</title>
                        <link>https://tathagat.mba/forums/percentage/simple-and-compound-interests/</link>
                        <pubDate>Thu, 10 Dec 2020 20:38:46 +0000</pubDate>
                        <description><![CDATA[A sum was borrowed at 20% p.a. compound interest. It was repaid in three annual installments with each instalment being paid at the end of an year. The first, second and third installments w...]]></description>
                        <content:encoded><![CDATA[<p>A sum was borrowed at 20% p.a. compound interest. It was repaid in three annual installments with each instalment being paid at the end of an year. The first, second and third installments were 1200, 1152 and 2592 respectively. Find the sum borrowed.</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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				                    <item>
                        <title>Sequence and Series</title>
                        <link>https://tathagat.mba/forums/algebra/sequence-and-series/</link>
                        <pubDate>Thu, 05 Nov 2020 15:06:45 +0000</pubDate>
                        <description><![CDATA[Given a series 1, 2, 5, 10, 17, 26, 37,……, what is the sum of the first 50 terms of the series?]]></description>
                        <content:encoded><![CDATA[<p>Given a series 1, 2, 5, 10, 17, 26, 37,……, what is the sum of the first 50 terms of the series?</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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                        <title>Clocks and Calendars</title>
                        <link>https://tathagat.mba/forums/puzzles/clocks-and-calendars/</link>
                        <pubDate>Sun, 01 Nov 2020 18:23:02 +0000</pubDate>
                        <description><![CDATA[Which year will have the same calendar as that of 2020?]]></description>
                        <content:encoded><![CDATA[<p>Which year will have the same calendar as that of 2020?</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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				                    <item>
                        <title>Algebra Miscellaneous</title>
                        <link>https://tathagat.mba/forums/algebra/algebra-miscellaneous/</link>
                        <pubDate>Sun, 01 Nov 2020 18:05:39 +0000</pubDate>
                        <description><![CDATA[1. Given the system of equations 3x + ky = 1 and 6x + 3y = 2. For which values of k does this system have infinite solutions?]]></description>
                        <content:encoded><![CDATA[<p><strong>1.</strong> Given the system of equations 3x + ky = 1 and 6x + 3y = 2. For which values of k does this system have infinite solutions?<br /><br /></p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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                        <title>Medians</title>
                        <link>https://tathagat.mba/forums/geometry/medians/</link>
                        <pubDate>Sun, 16 Aug 2020 21:01:47 +0000</pubDate>
                        <description><![CDATA[Largest median of a triangle ABC is 10 and ▲ ABC is a right angle triangle having hypotenuse as 12, find the lengths of the remaining two medians.]]></description>
                        <content:encoded><![CDATA[<p>Largest median of a triangle ABC is 10 and ▲ ABC is a right angle triangle having hypotenuse as 12, find the lengths of the remaining two medians.</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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                        <title>Hexagon - Polygon</title>
                        <link>https://tathagat.mba/forums/geometry/hexagon-polygon/</link>
                        <pubDate>Sun, 16 Aug 2020 20:58:42 +0000</pubDate>
                        <description><![CDATA[The equiangular convex hexagon ABCDEF has AB = 1 , BC = 4 , CD = 2 and DE = 4. The area of the hexagon is
A. (15√3)/2 B. 9√3C. 16D. (39√3)/4 E. (43√3)/4]]></description>
                        <content:encoded><![CDATA[<p>The equiangular convex hexagon ABCDEF has AB = 1 , BC = 4 , CD = 2 and DE = 4. The area of the hexagon is</p>
<p>A. (15√3)/2 <br />B. 9√3<br />C. 16<br />D. (39√3)/4 <br />E. (43√3)/4</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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                        <title>Trapezium</title>
                        <link>https://tathagat.mba/forums/geometry/trapezium/</link>
                        <pubDate>Tue, 11 Aug 2020 20:23:17 +0000</pubDate>
                        <description><![CDATA[In triangle ABC, two lines DE and FG are drawn parallel to BC such that they divide AC in the ratio 2:3:5. Find the ratio of area of triangle ABC to area of the trapezium DEGF.]]></description>
                        <content:encoded><![CDATA[<p>In triangle ABC, two lines DE and FG are drawn parallel to BC such that they divide AC in the ratio 2:3:5. Find the ratio of area of triangle ABC to area of the trapezium DEGF.</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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				                    <item>
                        <title>Altitudes - Triangles</title>
                        <link>https://tathagat.mba/forums/geometry/altitudes-triangles/</link>
                        <pubDate>Tue, 11 Aug 2020 20:20:38 +0000</pubDate>
                        <description><![CDATA[If 3,2,2 are three altitudes of a triangle then find the area &amp; perimeter of the triangle.]]></description>
                        <content:encoded><![CDATA[<p>If 3,2,2 are three altitudes of a triangle then find the area &amp; perimeter of the triangle.</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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				                    <item>
                        <title>Probability</title>
                        <link>https://tathagat.mba/forums/pnc/probability-2/</link>
                        <pubDate>Mon, 15 Oct 2018 14:29:42 +0000</pubDate>
                        <description><![CDATA[Tickets for movies in a particular theatre have numbers from 1 to 100 printed on them with each ticket having a unique number. The tickets are sold in a random order. Three people go to the ...]]></description>
                        <content:encoded><![CDATA[<p>Tickets for movies in a particular theatre have numbers from 1 to 100 printed on them with each ticket having a unique number. The tickets are sold in a random order. Three people go to the theatre and buy tickets, when all the tickets are available. What is the <span class="highlightNode">probability</span> that exactly one person's seat is in the range of 6 to 50?</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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                        <title>Algebra Answer Keys</title>
                        <link>https://tathagat.mba/forums/algebra/algebra-answer-keys/</link>
                        <pubDate>Sun, 05 Aug 2018 07:03:15 +0000</pubDate>
                        <description><![CDATA[]]></description>
                        <content:encoded><![CDATA[<p>188<br /><br />189<br /><br />190</p>]]></content:encoded>
						                            <category domain="https://tathagat.mba/forums/"></category>                        <dc:creator>TG.Raman</dc:creator>
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