{"id":3099,"date":"2025-06-06T10:07:01","date_gmt":"2025-06-06T10:07:01","guid":{"rendered":"https:\/\/diznr.com\/?p=3099"},"modified":"2025-06-06T10:07:01","modified_gmt":"2025-06-06T10:07:01","slug":"part-05-discrete-math-for-gate-in-hindi-concept-of-premise-conclusion-argument-and","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/part-05-discrete-math-for-gate-in-hindi-concept-of-premise-conclusion-argument-and\/","title":{"rendered":"part 05 &#8211; Discrete math for gate in Hindi &#8211; Concept of Premise, Conclusion and Argument"},"content":{"rendered":"<p>part 05 &#8211; Discrete math for gate in Hindi &#8211; Concept of Premise, Conclusion and Argument<\/p>\n<p>[fvplayer id=&#8221;252&#8243;]<\/p>\n<p data-start=\"0\" data-end=\"179\">\u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u092e\u0947\u0902, <strong data-start=\"26\" data-end=\"50\">\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e (Premise)<\/strong>, <strong data-start=\"52\" data-end=\"77\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 (Conclusion)<\/strong>, \u0914\u0930 <strong data-start=\"82\" data-end=\"101\">\u0924\u0930\u094d\u0915 (Argument)<\/strong> \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902, \u091c\u094b \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0914\u0930 \u092a\u094d\u0930\u092e\u093e\u0923\u0928 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/p>\n<p data-start=\"181\" data-end=\"206\"><strong data-start=\"181\" data-end=\"206\">\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e (Premise):<\/strong><\/p>\n<p data-start=\"208\" data-end=\"344\">\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e \u0935\u0939 \u0915\u0925\u0928 \u092f\u093e \u0915\u0925\u0928 \u0938\u092e\u0942\u0939 \u0939\u0948, \u091c\u094b \u0915\u093f\u0938\u0940 \u0924\u0930\u094d\u0915 \u092e\u0947\u0902 \u0906\u0927\u093e\u0930 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0928 \u0915\u0925\u0928\u094b\u0902 \u0915\u0940 \u0938\u0924\u094d\u092f\u0924\u093e \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p data-start=\"346\" data-end=\"395\"><em data-start=\"346\" data-end=\"355\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/em> &#8220;\u092f\u0926\u093f \u0906\u091c \u092c\u093e\u0930\u093f\u0936 \u0939\u094b\u0917\u0940, \u0924\u094b \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u094b\u0917\u0940\u0964&#8221;<\/p>\n<p data-start=\"397\" data-end=\"423\"><strong data-start=\"397\" data-end=\"423\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 (Conclusion):<\/strong><\/p>\n<p data-start=\"425\" data-end=\"553\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0935\u0939 \u0915\u0925\u0928 \u0939\u0948, \u091c\u094b \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092d\u0940 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u090f\u0901 \u0938\u0924\u094d\u092f \u0939\u0948\u0902, \u0924\u094b \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092d\u0940 \u0938\u0924\u094d\u092f \u0939\u094b\u0917\u093e\u0964<\/p>\n<p data-start=\"555\" data-end=\"606\"><em data-start=\"555\" data-end=\"564\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/em> &#8220;\u0906\u091c \u092c\u093e\u0930\u093f\u0936 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u0948\u0964&#8221;<\/p>\n<p data-start=\"608\" data-end=\"628\"><strong data-start=\"608\" data-end=\"628\">\u0924\u0930\u094d\u0915 (Argument):<\/strong><\/p>\n<p data-start=\"630\" data-end=\"735\">\u0924\u0930\u094d\u0915 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 \u0914\u0930 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0915\u093e \u090f\u0915 \u0938\u092e\u0942\u0939 \u0939\u0948, \u091c\u0939\u093e\u0901 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 \u0938\u0947 \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p data-start=\"737\" data-end=\"746\"><em data-start=\"737\" data-end=\"746\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/em><\/p>\n<ol data-start=\"748\" data-end=\"879\">\n<li data-start=\"748\" data-end=\"804\">\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e 1: &#8220;\u092f\u0926\u093f \u0906\u091c \u092c\u093e\u0930\u093f\u0936 \u0939\u094b\u0917\u0940, \u0924\u094b \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u094b\u0917\u0940\u0964&#8221;<\/li>\n<li data-start=\"805\" data-end=\"843\">\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e 2: &#8220;\u0906\u091c \u092c\u093e\u0930\u093f\u0936 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964&#8221;<\/li>\n<li data-start=\"844\" data-end=\"879\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937: &#8220;\u0907\u0938\u0932\u093f\u090f, \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u0948\u0964&#8221;<\/li>\n<\/ol>\n<p data-start=\"881\" data-end=\"966\">\u092f\u0939\u093e\u0901, \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 \u0938\u0947 \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092f\u0939 \u090f\u0915 \u0935\u0948\u0927 \u0924\u0930\u094d\u0915 \u0939\u0948\u0964<\/p>\n<p data-start=\"968\" data-end=\"1009\"><strong data-start=\"968\" data-end=\"1009\">\u0924\u0930\u094d\u0915 \u0915\u0940 \u0935\u0948\u0927\u0924\u093e (Validity of Argument):<\/strong><\/p>\n<p data-start=\"1011\" data-end=\"1205\">\u090f\u0915 \u0924\u0930\u094d\u0915 \u0924\u092c \u0935\u0948\u0927 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u092c \u092f\u0926\u093f \u0938\u092d\u0940 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u090f\u0901 \u0938\u0924\u094d\u092f \u0939\u0948\u0902, \u0924\u094b \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092d\u0940 \u0905\u0928\u093f\u0935\u093e\u0930\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u0938\u0924\u094d\u092f \u0939\u094b\u0917\u093e\u0964 \u092f\u0939 \u0924\u0930\u094d\u0915 \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948, \u0928 \u0915\u093f \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 \u092f\u093e \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0915\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0924\u094d\u092f\u0924\u093e \u092a\u0930\u0964<\/p>\n<p data-start=\"1207\" data-end=\"1220\"><strong data-start=\"1207\" data-end=\"1220\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong><\/p>\n<p data-start=\"1222\" data-end=\"1453\">\u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u092e\u0947\u0902, \u0924\u0930\u094d\u0915, \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e, \u0914\u0930 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0915\u0940 \u0938\u092e\u091d \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u092f\u0947 \u0917\u0923\u093f\u0924\u0940\u092f \u092a\u094d\u0930\u092e\u093e\u0923 \u0914\u0930 \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0947 \u092e\u0942\u0932\u092d\u0942\u0924 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902\u0964 \u0907\u0928\u0915\u0940 \u0938\u0939\u0940 \u0938\u092e\u091d \u0938\u0947 \u0939\u092e \u091c\u091f\u093f\u0932 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0938\u0941\u0932\u091d\u093e\u0928\u0947 \u0914\u0930 \u0938\u091f\u0940\u0915 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p data-start=\"1455\" data-end=\"1479\"><strong data-start=\"1455\" data-end=\"1479\">\u0905\u0927\u093f\u0915 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f:<\/strong><\/p>\n<p data-start=\"1690\" data-end=\"1708\"><strong data-start=\"1690\" data-end=\"1708\">\u0935\u0940\u0921\u093f\u092f\u094b \u0938\u0902\u0926\u0930\u094d\u092d:<\/strong><\/p>\n<p data-start=\"1710\" data-end=\"1810\">\u092f\u0926\u093f \u0906\u092a \u0907\u0938 \u0935\u093f\u0937\u092f \u092a\u0930 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0935\u0940\u0921\u093f\u092f\u094b \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e\u0928 \u0926\u0947\u0916\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u0939\u093e\u092f\u0915 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948:<\/p>\n<h3 data-start=\"1710\" data-end=\"1810\"><a href=\"https:\/\/mdu.ac.in\/UpFiles\/UpPdfFiles\/2020\/Jan\/Advance_Discrete_MAths_com.pdf\" target=\"_blank\" rel=\"noopener\">part 05 &#8211; Discrete math for gate in Hindi &#8211; Concept of Premise, Conclusion and Argument<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/mrce.in\/ebooks\/Maths-Discrete%20Mathematics%20&amp;%20its%20Applications%208th%20Ed.pdf\" target=\"_blank\" rel=\"noopener\">Discrete Mathematics and Its Applications, Eighth Edition<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/mrcet.com\/downloads\/digital_notes\/CSE\/II%20Year\/DISCRETE%20MATHEMATICS%20NOTES.pdf\" target=\"_blank\" rel=\"noopener\">DIGITAL NOTES ON Discrete Mathematics B.TECH II YEAR<\/a><\/h3>\n<p data-start=\"0\" data-end=\"195\">Here&#8217;s a detailed explanation of the <strong data-start=\"37\" data-end=\"85\">Concept of Premise, Conclusion, and Argument<\/strong> in <strong data-start=\"89\" data-end=\"131\">Discrete Mathematics for GATE (CSE\/IT)<\/strong> \u2014 <strong data-start=\"134\" data-end=\"145\">Part 05<\/strong>, explained in <strong data-start=\"160\" data-end=\"169\">Hindi<\/strong> for better understanding:<\/p>\n<hr data-start=\"197\" data-end=\"200\" \/>\n<h2 data-start=\"202\" data-end=\"258\">\ud83d\udcd8 <strong data-start=\"208\" data-end=\"256\">Discrete Mathematics \u2013 Part 05 (GATE CSE\/IT)<\/strong><\/h2>\n<h3 data-start=\"259\" data-end=\"320\">\ud83d\udca1 \u0935\u093f\u0937\u092f: <strong data-start=\"272\" data-end=\"318\">Premise, Conclusion \u0914\u0930 Argument \u0915\u093e Concept<\/strong><\/h3>\n<p data-start=\"321\" data-end=\"342\"><strong data-start=\"321\" data-end=\"342\">(\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0938\u092e\u091d\u0947\u0902)<\/strong><\/p>\n<hr data-start=\"344\" data-end=\"347\" \/>\n<h2 data-start=\"349\" data-end=\"393\">\ud83d\udd39 1. <strong data-start=\"358\" data-end=\"391\">Premise (\u092a\u0942\u0930\u094d\u0935\u0927\u093e\u0930\u0923\u093e) \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h2>\n<p data-start=\"394\" data-end=\"543\"><strong data-start=\"394\" data-end=\"409\">Definition:<\/strong><br data-start=\"409\" data-end=\"412\" \/>Premise \u0935\u0939 \u0915\u0925\u0928 (statement) \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0947 \u0939\u092e <strong data-start=\"455\" data-end=\"470\">\u0938\u0924\u094d\u092f (true)<\/strong> \u092e\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u091c\u093f\u0938\u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0939\u092e \u0915\u093f\u0938\u0940 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 (conclusion) \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p data-start=\"545\" data-end=\"587\">\ud83d\udc49 \u0907\u0938\u0947 <strong data-start=\"552\" data-end=\"574\">&#8220;Given Statements&#8221;<\/strong> \u092d\u0940 \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p data-start=\"589\" data-end=\"698\"><strong data-start=\"589\" data-end=\"600\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"600\" data-end=\"603\" \/>&#8220;\u0905\u0917\u0930 \u092c\u093e\u0930\u093f\u0936 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948, \u0924\u094b \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u094b\u0917\u0940\u0964&#8221;<br data-start=\"644\" data-end=\"647\" \/>\u27a1 \u092f\u0939\u093e\u0901 &#8220;\u092c\u093e\u0930\u093f\u0936 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948&#8221; = <strong data-start=\"674\" data-end=\"685\">Premise<\/strong> (\u092a\u0942\u0930\u094d\u0935\u0927\u093e\u0930\u0923\u093e)<\/p>\n<hr data-start=\"700\" data-end=\"703\" \/>\n<h2 data-start=\"705\" data-end=\"750\">\ud83d\udd39 2. <strong data-start=\"714\" data-end=\"748\">Conclusion (\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937) \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h2>\n<p data-start=\"751\" data-end=\"864\"><strong data-start=\"751\" data-end=\"766\">Definition:<\/strong><br data-start=\"766\" data-end=\"769\" \/>Conclusion \u0935\u0939 \u0915\u0925\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u094b Premise \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 <strong data-start=\"817\" data-end=\"846\">\u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u0917\u092f\u093e<\/strong> \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<p data-start=\"866\" data-end=\"1002\"><strong data-start=\"866\" data-end=\"877\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"877\" data-end=\"880\" \/>&#8220;\u0905\u0917\u0930 \u092c\u093e\u0930\u093f\u0936 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948, \u0924\u094b \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u094b\u0917\u0940\u0964<br data-start=\"920\" data-end=\"923\" \/>\u092c\u093e\u0930\u093f\u0936 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964<br data-start=\"939\" data-end=\"942\" \/>\u0907\u0938\u0932\u093f\u090f \u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u094b\u0917\u0940\u0964&#8221;<br data-start=\"964\" data-end=\"967\" \/>\u27a1 &#8220;\u0938\u0921\u093c\u0915 \u0917\u0940\u0932\u0940 \u0939\u094b\u0917\u0940&#8221; = <strong data-start=\"988\" data-end=\"1002\">Conclusion<\/strong><\/p>\n<hr data-start=\"1004\" data-end=\"1007\" \/>\n<h2 data-start=\"1009\" data-end=\"1053\">\ud83d\udd39 3. <strong data-start=\"1018\" data-end=\"1051\">Argument (\u0924\u0930\u094d\u0915) \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/strong><\/h2>\n<p data-start=\"1054\" data-end=\"1167\"><strong data-start=\"1054\" data-end=\"1069\">Definition:<\/strong><br data-start=\"1069\" data-end=\"1072\" \/>Argument \u090f\u0915 \u0910\u0938\u093e \u0938\u092e\u0942\u0939 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 <strong data-start=\"1108\" data-end=\"1131\">\u090f\u0915 \u092f\u093e \u0905\u0927\u093f\u0915 Premises<\/strong> \u0914\u0930 <strong data-start=\"1135\" data-end=\"1152\">\u090f\u0915 Conclusion<\/strong> \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<p data-start=\"1169\" data-end=\"1230\">\u27a1 Argument \u0915\u094b \u0939\u092e \u090f\u0915 \u0924\u0930\u0939 \u0915\u0940 <strong data-start=\"1196\" data-end=\"1217\">Logical Structure<\/strong> \u0915\u0939 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<p data-start=\"1232\" data-end=\"1245\"><strong data-start=\"1232\" data-end=\"1243\">Format:<\/strong><\/p>\n<div class=\"contain-inline-size rounded-md border-[0.5px] border-token-border-medium relative bg-token-sidebar-surface-primary\">\n<div class=\"flex items-center text-token-text-secondary px-4 py-2 text-xs font-sans justify-between h-9 bg-token-sidebar-surface-primary dark:bg-token-main-surface-secondary select-none rounded-t-[5px]\">less<\/div>\n<div class=\"sticky top-9\">\n<div class=\"absolute end-0 bottom-0 flex h-9 items-center pe-2\">\n<div class=\"bg-token-sidebar-surface-primary text-token-text-secondary dark:bg-token-main-surface-secondary flex items-center rounded-sm px-2 font-sans text-xs\"><button class=\"flex gap-1 items-center select-none px-4 py-1\" aria-label=\"Copy\">Copy<\/button><span class=\"\" data-state=\"closed\"><button class=\"flex items-center gap-1 px-4 py-1 select-none\">Edit<\/button><\/span><\/div>\n<\/div>\n<\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"whitespace-pre!\"><span class=\"hljs-selector-tag\">Premise<\/span> <span class=\"hljs-number\">1<\/span>: <span class=\"hljs-selector-tag\">P<\/span><br \/>\n<span class=\"hljs-selector-tag\">Premise<\/span> <span class=\"hljs-number\">2<\/span>: <span class=\"hljs-selector-tag\">P<\/span> \u2192 <span class=\"hljs-selector-tag\">Q<\/span><br \/>\n<span class=\"hljs-selector-tag\">Conclusion<\/span>: <span class=\"hljs-selector-tag\">Q<\/span><br \/>\n<\/code><\/div>\n<\/div>\n<hr data-start=\"1303\" data-end=\"1306\" \/>\n<h2 data-start=\"1308\" data-end=\"1351\">\ud83e\udde0 <strong data-start=\"1314\" data-end=\"1351\">Example in Logic (Symbolic Form):<\/strong><\/h2>\n<div class=\"_tableContainer_16hzy_1\">\n<div class=\"_tableWrapper_16hzy_14 group flex w-fit flex-col-reverse\">\n<table class=\"w-fit min-w-(--thread-content-width)\" data-start=\"1353\" data-end=\"1643\">\n<thead data-start=\"1353\" data-end=\"1411\">\n<tr data-start=\"1353\" data-end=\"1411\">\n<th data-start=\"1353\" data-end=\"1393\" data-col-size=\"sm\">English Statement<\/th>\n<th data-start=\"1393\" data-end=\"1411\" data-col-size=\"sm\">Symbolic Logic<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"1470\" data-end=\"1643\">\n<tr data-start=\"1470\" data-end=\"1527\">\n<td data-start=\"1470\" data-end=\"1509\" data-col-size=\"sm\">If P, then Q<\/td>\n<td data-col-size=\"sm\" data-start=\"1509\" data-end=\"1527\">P \u2192 Q<\/td>\n<\/tr>\n<tr data-start=\"1528\" data-end=\"1585\">\n<td data-start=\"1528\" data-end=\"1567\" data-col-size=\"sm\">P is true<\/td>\n<td data-col-size=\"sm\" data-start=\"1567\" data-end=\"1585\">P<\/td>\n<\/tr>\n<tr data-start=\"1586\" data-end=\"1643\">\n<td data-start=\"1586\" data-end=\"1625\" data-col-size=\"sm\">Therefore, Q is true<\/td>\n<td data-col-size=\"sm\" data-start=\"1625\" data-end=\"1643\">\u2234 Q<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sticky end-(--thread-content-margin) h-0 self-end select-none\">\n<div class=\"absolute end-0 flex items-end\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<p data-start=\"1645\" data-end=\"1710\">\u27a1 \u092f\u0939 \u090f\u0915 <strong data-start=\"1653\" data-end=\"1671\">Valid Argument<\/strong> \u0939\u0948, \u091c\u093f\u0938\u0947 <strong data-start=\"1681\" data-end=\"1697\">Modus Ponens<\/strong> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<hr data-start=\"1712\" data-end=\"1715\" \/>\n<h2 data-start=\"1717\" data-end=\"1759\">\ud83d\udccc <strong data-start=\"1723\" data-end=\"1759\">GATE \u092e\u0947\u0902 \u0907\u0938\u0938\u0947 \u0915\u0948\u0938\u0947 \u0938\u0935\u093e\u0932 \u0906\u0924\u0947 \u0939\u0948\u0902?<\/strong><\/h2>\n<p data-start=\"1761\" data-end=\"1806\"><strong data-start=\"1761\" data-end=\"1767\">Q:<\/strong> \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e Valid Argument \u0939\u0948?<\/p>\n<p data-start=\"1808\" data-end=\"1895\"><strong data-start=\"1808\" data-end=\"1815\">(a)<\/strong> P \u2192 Q, P \u22a2 Q<br data-start=\"1828\" data-end=\"1831\" \/><strong data-start=\"1831\" data-end=\"1838\">(b)<\/strong> P \u2227 Q \u22a2 P<br data-start=\"1848\" data-end=\"1851\" \/><strong data-start=\"1851\" data-end=\"1858\">(c)<\/strong> \u00acQ, P \u2192 Q \u22a2 \u00acP<br data-start=\"1873\" data-end=\"1876\" \/><strong data-start=\"1876\" data-end=\"1883\">(d)<\/strong> \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0938\u092d\u0940<\/p>\n<p data-start=\"1897\" data-end=\"1957\"><strong data-start=\"1897\" data-end=\"1908\">Answer:<\/strong> \u2705 (d) \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0938\u092d\u0940 (All are valid argument forms)<\/p>\n<hr data-start=\"1959\" data-end=\"1962\" \/>\n<h2 data-start=\"1964\" data-end=\"2004\">\ud83c\udfaf <strong data-start=\"1970\" data-end=\"2004\">GATE \u0915\u0947 \u0932\u093f\u090f \u091c\u0930\u0942\u0930\u0940 Logic Types:<\/strong><\/h2>\n<ol data-start=\"2005\" data-end=\"2177\">\n<li data-start=\"2005\" data-end=\"2040\">\n<p data-start=\"2008\" data-end=\"2040\"><strong data-start=\"2008\" data-end=\"2024\">Modus Ponens<\/strong>: P \u2192 Q, P \u22a2 Q<\/p>\n<\/li>\n<li data-start=\"2041\" data-end=\"2079\">\n<p data-start=\"2044\" data-end=\"2079\"><strong data-start=\"2044\" data-end=\"2061\">Modus Tollens<\/strong>: P \u2192 Q, \u00acQ \u22a2 \u00acP<\/p>\n<\/li>\n<li data-start=\"2080\" data-end=\"2133\">\n<p data-start=\"2083\" data-end=\"2133\"><strong data-start=\"2083\" data-end=\"2109\">Hypothetical Syllogism<\/strong>: P \u2192 Q, Q \u2192 R \u22a2 P \u2192 R<\/p>\n<\/li>\n<li data-start=\"2134\" data-end=\"2177\">\n<p data-start=\"2137\" data-end=\"2177\"><strong data-start=\"2137\" data-end=\"2162\">Disjunctive Syllogism<\/strong>: P \u2228 Q, \u00acP \u22a2 Q<\/p>\n<\/li>\n<\/ol>\n<hr data-start=\"2179\" data-end=\"2182\" \/>\n<h2 data-start=\"2184\" data-end=\"2207\">\ud83d\udcd6 <strong data-start=\"2190\" data-end=\"2207\">\u0938\u0941\u091d\u093e\u0935 (Tips):<\/strong><\/h2>\n<ul data-start=\"2208\" data-end=\"2372\">\n<li data-start=\"2208\" data-end=\"2258\">\n<p data-start=\"2210\" data-end=\"2258\"><strong data-start=\"2210\" data-end=\"2225\">Truth table<\/strong> \u0938\u0947 \u092d\u0940 Validity \u091a\u0947\u0915 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902<\/p>\n<\/li>\n<li data-start=\"2259\" data-end=\"2300\">\n<p data-start=\"2261\" data-end=\"2300\"><strong data-start=\"2261\" data-end=\"2279\">Contrapositive<\/strong> concept \u091c\u0930\u0942\u0930 \u0938\u092e\u091d\u0947\u0902<\/p>\n<\/li>\n<li data-start=\"2301\" data-end=\"2372\">\n<p data-start=\"2303\" data-end=\"2372\">Argument \u0924\u092d\u0940 Valid \u0939\u0948 \u091c\u092c Premises \u0938\u0939\u0940 \u0939\u094b\u0928\u0947 \u092a\u0930 Conclusion \u0939\u092e\u0947\u0936\u093e \u0938\u0939\u0940 \u0939\u094b<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"2374\" data-end=\"2377\" \/>\n<h2 data-start=\"2379\" data-end=\"2395\">\ud83d\udcda Want more?<\/h2>\n<p data-start=\"2397\" data-end=\"2411\">I can provide:<\/p>\n<ul data-start=\"2412\" data-end=\"2489\">\n<li data-start=\"2412\" data-end=\"2442\">\n<p data-start=\"2414\" data-end=\"2442\">\ud83c\udfa5 <strong data-start=\"2417\" data-end=\"2442\">Video script in Hindi<\/strong><\/p>\n<\/li>\n<li data-start=\"2443\" data-end=\"2461\">\n<p data-start=\"2445\" data-end=\"2461\">\ud83d\udcc4 <strong data-start=\"2448\" data-end=\"2461\">PDF Notes<\/strong><\/p>\n<\/li>\n<li data-start=\"2462\" data-end=\"2489\">\n<p data-start=\"2464\" data-end=\"2489\">\ud83d\udcdd <strong data-start=\"2467\" data-end=\"2489\">Practice Questions<\/strong><\/p>\n<\/li>\n<\/ul>\n<p data-start=\"2491\" data-end=\"2523\" data-is-last-node=\"\" data-is-only-node=\"\">Would you like to get that next?<\/p>\n<h3 data-start=\"2491\" data-end=\"2523\"><a href=\"https:\/\/niamt.ac.in\/WriteReadData\/Mathematics%20(Discrete%20Structure).pdf\" target=\"_blank\" rel=\"noopener\">part 05 &#8211; Discrete math for gate in Hindi &#8211; Concept of Premise, Conclusion and Argument<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/uou.ac.in\/sites\/default\/files\/slm\/MCS-501.pdf\" target=\"_blank\" rel=\"noopener\">Title Discrete Mathematics Author Prof. Abhay Saxena &#8230;<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>part 05 &#8211; Discrete math for gate in Hindi &#8211; Concept of Premise, Conclusion and Argument [fvplayer id=&#8221;252&#8243;] \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u092e\u0947\u0902, \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e (Premise), \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 (Conclusion), \u0914\u0930 \u0924\u0930\u094d\u0915 (Argument) \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901 \u0939\u0948\u0902, \u091c\u094b \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0914\u0930 \u092a\u094d\u0930\u092e\u093e\u0923\u0928 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e (Premise): \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e \u0935\u0939 \u0915\u0925\u0928 \u092f\u093e \u0915\u0925\u0928 \u0938\u092e\u0942\u0939 \u0939\u0948, \u091c\u094b \u0915\u093f\u0938\u0940 \u0924\u0930\u094d\u0915 \u092e\u0947\u0902 \u0906\u0927\u093e\u0930 \u0915\u0947 [&hellip;]<\/p>\n","protected":false},"author":71,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76],"tags":[],"class_list":["post-3099","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3099","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/71"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=3099"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3099\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3099"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3099"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3099"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}