{"id":3006,"date":"2025-06-04T14:43:37","date_gmt":"2025-06-04T14:43:37","guid":{"rendered":"https:\/\/diznr.com\/?p=3006"},"modified":"2025-06-04T14:43:37","modified_gmt":"2025-06-04T14:43:37","slug":"previous-year-gate-question-of-discrete-mathematics-in-hindi-gate-2021-a-relation-r-is-defined","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/previous-year-gate-question-of-discrete-mathematics-in-hindi-gate-2021-a-relation-r-is-defined\/","title":{"rendered":"Previous year gate question of discrete mathematics in Hindi &#8211; GATE 2025 A relation R is defined"},"content":{"rendered":"<p>Previous year gate question of discrete mathematics in Hindi &#8211; GATE 2025 A relation R is defined<\/p>\n<p>[fvplayer id=&#8221;212&#8243;]<\/p>\n<p>\u092f\u0939\u093e\u0901 GATE \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 &#8220;Relation R is defined&#8230;&#8221; \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0915\u0941\u091b \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u093e \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0935\u093f\u0935\u0930\u0923 \u0914\u0930 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<hr \/>\n<h3>\ud83e\uddee <strong>\u092a\u094d\u0930\u0936\u094d\u0928 1: GATE CSE 2025<\/strong><\/h3>\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> \u090f\u0915 \u0938\u0902\u092c\u0902\u0927 R \u0915\u094b \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u0947 \u0915\u094d\u0930\u092e\u092c\u0926\u094d\u0927 \u092f\u0941\u0917\u094d\u092e\u094b\u0902 \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<p><strong>(x, y) R (u, v) \u092f\u0926\u093f x &lt; u \u0914\u0930 y &gt; v<\/strong><\/p>\n<p><strong>\u0935\u093f\u0915\u0932\u094d\u092a:<\/strong><br \/>\nA. \u0906\u0902\u0936\u093f\u0915 \u0915\u094d\u0930\u092e (Partial Order)<br \/>\nB. \u0938\u092e\u092e\u093f\u0924 (Symmetric)<br \/>\nC. \u092a\u093e\u0930\u0917\u092e\u094d\u092f (Transitive)<br \/>\nD. \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930:<\/strong> <strong>D. \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/strong><\/p>\n<p><strong>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/p>\n<ul>\n<li><strong>\u092a\u094d\u0930\u0924\u093f\u092b\u0932\u0924\u093e (Reflexivity):<\/strong> \u0915\u093f\u0938\u0940 \u092d\u0940 (x, y) \u0915\u0947 \u0932\u093f\u090f x &lt; x \u0914\u0930 y &gt; y \u0905\u0938\u0924\u094d\u092f \u0939\u0948; \u0905\u0924\u0903 R \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/li>\n<li><strong>\u0938\u092e\u092e\u093f\u0924\u093f (Symmetry):<\/strong> \u092f\u0926\u093f (x, y) R (u, v), \u0924\u094b x &lt; u \u0914\u0930 y &gt; v; \u0932\u0947\u0915\u093f\u0928 (u, v) R (x, y) \u0915\u0947 \u0932\u093f\u090f u &lt; x \u0914\u0930 v &gt; y \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u091c\u094b \u0906\u0935\u0936\u094d\u092f\u0915 \u0928\u0939\u0940\u0902 \u0939\u0948; \u0905\u0924\u0903 R \u0938\u092e\u092e\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/li>\n<li><strong>\u092a\u093e\u0930\u0917\u092e\u0924\u093e (Transitivity):<\/strong> \u092f\u0926\u093f (x, y) R (u, v) \u0914\u0930 (u, v) R (a, b), \u0924\u094b x &lt; u &lt; a \u0914\u0930 y &gt; v &gt; b; \u0905\u0924\u0903 x &lt; a \u0914\u0930 y &gt; b, \u091c\u093f\u0938\u0938\u0947 (x, y) R (a, b); \u0905\u0924\u0903 R \u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0939\u0948\u0964<\/li>\n<\/ul>\n<p>\u0939\u093e\u0932\u093e\u0902\u0915\u093f R \u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u092f\u0939 \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0914\u0930 \u0938\u092e\u092e\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092f\u0939 \u0906\u0902\u0936\u093f\u0915 \u0915\u094d\u0930\u092e \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/p>\n<hr \/>\n<h3>\ud83e\uddee <strong>\u092a\u094d\u0930\u0936\u094d\u0928 2: GATE CSE 2025<\/strong><\/h3>\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> \u090f\u0915 \u0926\u094d\u0935\u093f\u0906\u0927\u093e\u0930\u0940 \u0938\u0902\u092c\u0902\u0927 R \u0915\u094b N \u00d7 N \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n<p><strong>(a, b) R (c, d) \u092f\u0926\u093f a \u2264 c \u092f\u093e b \u2264 d<\/strong><\/p>\n<p><strong>\u0935\u093f\u0915\u0932\u094d\u092a:<\/strong><br \/>\nA. R \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0939\u0948<br \/>\nB. R \u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0939\u0948<br \/>\nC. R \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0914\u0930 \u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0926\u094b\u0928\u094b\u0902 \u0939\u0948<br \/>\nD. R \u0928 \u0924\u094b \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0939\u0948 \u0914\u0930 \u0928 \u0939\u0940 \u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0939\u0948<\/p>\n<p><strong>\u0909\u0924\u094d\u0924\u0930:<\/strong> <strong>A. R \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0939\u0948<\/strong><\/p>\n<p><strong>\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/p>\n<ul>\n<li><strong>\u092a\u094d\u0930\u0924\u093f\u092b\u0932\u0924\u093e (Reflexivity):<\/strong> \u0915\u093f\u0938\u0940 \u092d\u0940 (a, b) \u0915\u0947 \u0932\u093f\u090f a \u2264 a \u0914\u0930 b \u2264 b \u0938\u0924\u094d\u092f \u0939\u0948; \u0905\u0924\u0903 R \u092a\u094d\u0930\u0924\u093f\u092b\u0932 \u0939\u0948\u0964<\/li>\n<li><strong>\u092a\u093e\u0930\u0917\u092e\u0924\u093e (Transitivity):<\/strong> \u092f\u0926\u093f (a, b) R (c, d) \u0914\u0930 (c, d) R (e, f), \u0924\u094b a \u2264 c \u092f\u093e b \u2264 d \u0914\u0930 c \u2264 e \u092f\u093e d \u2264 f; \u0932\u0947\u0915\u093f\u0928 \u0907\u0938\u0938\u0947 \u092f\u0939 \u0906\u0935\u0936\u094d\u092f\u0915 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u093f a \u2264 e \u092f\u093e b \u2264 f; \u0905\u0924\u0903 R \u092a\u093e\u0930\u0917\u092e\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/li>\n<\/ul>\n<hr \/>\n<h3>\ud83d\udcda <strong>\u0905\u0927\u093f\u0915 \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u0938\u093e\u0927\u0928:<\/strong><\/h3>\n<ul>\n<li><strong>GeeksforGeeks:<\/strong> GATE \u0915\u0947 \u0932\u093f\u090f \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u0915\u0947 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u093e \u0938\u0902\u0917\u094d\u0930\u0939:<\/li>\n<li><strong>Examside:<\/strong> \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0914\u0930 \u090f\u0932\u094d\u091c\u0947\u092c\u094d\u0930\u093e \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 GATE CSE \u0915\u0947 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928:<\/li>\n<li><strong>YouTube \u0935\u0940\u0921\u093f\u092f\u094b:<\/strong> &#8220;Relations GATE PYQs | Set Theory | Discrete Mathematics&#8221; \u0935\u0940\u0921\u093f\u092f\u094b \u092e\u0947\u0902 \u0907\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0938\u092e\u093e\u0927\u093e\u0928 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948:<\/li>\n<\/ul>\n<hr \/>\n<p>\u092f\u0926\u093f \u0906\u092a \u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0936\u094d\u0928 \u092f\u093e \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u092a\u0930 \u0914\u0930 \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964 \u092e\u0948\u0902 \u0906\u092a\u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092f\u0939\u093e\u0901 \u0939\u0942\u0901\u0964<\/p>\n<h3><a href=\"https:\/\/www2.cs.uh.edu\/~arjun\/courses\/ds\/DiscMaths4CompSc.pdf\" target=\"_blank\" rel=\"noopener\">Previous year gate question of discrete mathematics in Hindi &#8211; GATE 2025 A relation R is defined<\/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","protected":false},"excerpt":{"rendered":"<p>Previous year gate question of discrete mathematics in Hindi &#8211; GATE 2025 A relation R is defined [fvplayer id=&#8221;212&#8243;] \u092f\u0939\u093e\u0901 GATE \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 &#8220;Relation R is defined&#8230;&#8221; \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0915\u0941\u091b \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u093e \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0935\u093f\u0935\u0930\u0923 \u0914\u0930 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948: \ud83e\uddee \u092a\u094d\u0930\u0936\u094d\u0928 1: GATE CSE 2025 \u092a\u094d\u0930\u0936\u094d\u0928: \u090f\u0915 \u0938\u0902\u092c\u0902\u0927 R \u0915\u094b \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \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-3006","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3006","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=3006"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3006\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3006"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3006"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}