{"id":2964,"date":"2025-06-06T09:19:43","date_gmt":"2025-06-06T09:19:43","guid":{"rendered":"https:\/\/diznr.com\/?p=2964"},"modified":"2025-06-06T09:19:43","modified_gmt":"2025-06-06T09:19:43","slug":"equivalence-table-previous-year-gate-question-paper-in-hindi-gate-2020-let-p-and-q-propositions-be","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/equivalence-table-previous-year-gate-question-paper-in-hindi-gate-2020-let-p-and-q-propositions-be\/","title":{"rendered":"Equivalence table- Previous year gate question paper in Hindi-Gate 2025- Let P and Q be propositions."},"content":{"rendered":"<p>Equivalence table- Previous year gate question paper in Hindi-Gate 2025- Let P and Q be propositions.<\/p>\n<p>[fvplayer id=&#8221;192&#8243;]<\/p>\n<p data-start=\"0\" data-end=\"196\">\u200b<span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">GATE (\u0917\u094d\u0930\u0947\u091c\u0941\u090f\u091f \u090f\u092a\u094d\u091f\u0940\u091f\u094d\u092f\u0942\u0921 \u091f\u0947\u0938\u094d\u091f \u0907\u0928 \u0907\u0902\u091c\u0940\u0928\u093f\u092f\u0930\u093f\u0902\u0917) \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 <strong data-start=\"60\" data-end=\"84\">\u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938<\/strong> \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0937\u092f \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 <strong data-start=\"115\" data-end=\"136\">\u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928\u0932 \u0932\u0949\u091c\u093f\u0915<\/strong> \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 \u092d\u0940 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/span> \u092f\u0926\u093f \u0906\u092a \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u0916\u094b\u091c \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0941\u091d\u093e\u0935 \u0906\u092a\u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:\u200b<\/p>\n<ol data-start=\"198\" data-end=\"658\">\n<li data-start=\"198\" data-end=\"309\">\n<p data-start=\"201\" data-end=\"309\"><strong data-start=\"201\" data-end=\"226\">\u0906\u0927\u093f\u0915\u093e\u0930\u093f\u0915 GATE \u0935\u0947\u092c\u0938\u093e\u0907\u091f<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">GATE \u0915\u0940 \u0906\u0927\u093f\u0915\u093e\u0930\u093f\u0915 \u0935\u0947\u092c\u0938\u093e\u0907\u091f \u092a\u0930 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u093e\u0932\u093e\u0902\u0915\u093f, \u092f\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u0903 \u0905\u0902\u0917\u094d\u0930\u0947\u091c\u0940 \u092e\u0947\u0902 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0906\u092a \u0907\u0928\u094d\u0939\u0947\u0902 \u0921\u093e\u0909\u0928\u0932\u094b\u0921 \u0915\u0930\u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0905\u0928\u0941\u0935\u093e\u0926\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/span>\u200b<\/p>\n<\/li>\n<li data-start=\"311\" data-end=\"428\">\n<p data-start=\"314\" data-end=\"428\"><strong data-start=\"314\" data-end=\"345\">\u0936\u0948\u0915\u094d\u0937\u0923\u093f\u0915 \u092a\u0941\u0938\u094d\u0924\u0915\u0947\u0902 \u0914\u0930 \u0917\u093e\u0907\u0921\u094d\u0938<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0915\u0908 \u092a\u094d\u0930\u0915\u093e\u0936\u0915 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 GATE \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f \u092a\u0941\u0938\u094d\u0924\u0915\u0947\u0902 \u0914\u0930 \u0917\u093e\u0907\u0921\u094d\u0938 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/span>\u200b<\/p>\n<\/li>\n<li data-start=\"430\" data-end=\"538\">\n<p data-start=\"433\" data-end=\"538\"><strong data-start=\"433\" data-end=\"455\">\u0911\u0928\u0932\u093e\u0907\u0928 \u092a\u094d\u0932\u0947\u091f\u092b\u093c\u0949\u0930\u094d\u092e<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0915\u0941\u091b \u0911\u0928\u0932\u093e\u0907\u0928 \u092a\u094d\u0932\u0947\u091f\u092b\u093c\u0949\u0930\u094d\u092e \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 GATE \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928 \u0909\u092a\u0932\u092c\u094d\u0927 \u0915\u0930\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, Testbook \u091c\u0948\u0938\u0940 \u0935\u0947\u092c\u0938\u093e\u0907\u091f\u094d\u0938 \u092a\u0930 \u0906\u092a \u092f\u0942\u092a\u0940\u090f\u0938\u0938\u0940 \u0915\u0947 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u092a\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0915 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/span>\u200b<span class=\"ml-1 inline-flex max-w-full items-center relative top-[-0.094rem]\"><span class=\"relative bottom-0 left-0 flex h-full w-full items-center\"><span class=\"flex h-4 w-full items-center justify-between overflow-hidden\"><span class=\"max-w-full grow overflow-hidden truncate text-center\">Testbook<\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"540\" data-end=\"658\">\n<p data-start=\"543\" data-end=\"658\"><strong data-start=\"543\" data-end=\"575\">\u0936\u0948\u0915\u094d\u0937\u0923\u093f\u0915 \u0938\u0902\u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u0915\u0947 \u0938\u0902\u0938\u093e\u0927\u0928<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0915\u0941\u091b \u0936\u0948\u0915\u094d\u0937\u0923\u093f\u0915 \u0938\u0902\u0938\u094d\u0925\u093e\u0928 \u0914\u0930 \u0915\u094b\u091a\u093f\u0902\u0917 \u0938\u0947\u0902\u091f\u0930 \u0905\u092a\u0928\u0947 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0905\u0927\u094d\u092f\u092f\u0928 \u0938\u093e\u092e\u0917\u094d\u0930\u0940 \u0914\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 \u0915\u0930\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/span>\u200b<\/p>\n<\/li>\n<\/ol>\n<p data-start=\"660\" data-end=\"783\"><strong data-start=\"660\" data-end=\"681\">\u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928\u0932 \u0932\u0949\u091c\u093f\u0915<\/strong> \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u092a\u0930 \u0927\u094d\u092f\u093e\u0928 \u0915\u0947\u0902\u0926\u094d\u0930\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ul data-start=\"785\" data-end=\"1130\">\n<li data-start=\"785\" data-end=\"906\">\n<p data-start=\"787\" data-end=\"906\"><strong data-start=\"787\" data-end=\"819\">\u0924\u0930\u094d\u0915\u0938\u0902\u0917\u0924 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u0938\u0924\u094d\u092f\u093e\u092a\u0928<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092f\u0926\u093f \u0915\u094b\u0908 \u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928 P \u0914\u0930 Q \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u0924\u094b \u0909\u0928\u0915\u0947 \u0938\u0902\u092f\u094b\u091c\u0928 (P \u2227 Q), \u0935\u093f\u092f\u094b\u091c\u0928 (P \u2228 Q), \u0914\u0930 \u0928\u093f\u0937\u0947\u0927 (\u00acP) \u0915\u0947 \u0938\u0924\u094d\u092f \u092e\u0942\u0932\u094d\u092f \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923\u0964<\/span>\u200b<\/p>\n<\/li>\n<li data-start=\"908\" data-end=\"1018\">\n<p data-start=\"910\" data-end=\"1018\"><strong data-start=\"910\" data-end=\"931\">\u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0926\u094b \u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928\u0932 \u0915\u0925\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u0924\u0941\u0932\u094d\u092f\u0924\u093e \u0915\u0940 \u092a\u0939\u091a\u093e\u0928 \u0915\u0930\u0928\u093e\u0964<\/span>\u200b<\/p>\n<\/li>\n<li data-start=\"1020\" data-end=\"1130\">\n<p data-start=\"1022\" data-end=\"1130\"><strong data-start=\"1022\" data-end=\"1043\">\u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0928\u093f\u0939\u093f\u0924\u093e\u0930\u094d\u0925<\/strong>: <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u090f\u0915 \u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928 \u0938\u0947 \u0926\u0942\u0938\u0930\u0947 \u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928 \u0915\u093e \u0905\u0928\u0941\u0938\u0930\u0923 \u0915\u0930\u0928\u093e\u0964<\/span>\u200b<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1132\" data-end=\"1217\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0907\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0905\u092d\u094d\u092f\u093e\u0938 \u0938\u0947 \u0906\u092a \u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928\u0932 \u0932\u0949\u091c\u093f\u0915 \u092e\u0947\u0902 \u0928\u093f\u092a\u0941\u0923\u0924\u093e \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b GATE \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0915 \u0938\u093f\u0926\u094d\u0927 \u0939\u094b\u0917\u093e\u0964<\/span>\u200b<\/p>\n<p data-start=\"1219\" data-end=\"1304\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem]\">\u0905\u0902\u0924 \u092e\u0947\u0902, \u092f\u0939 \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0915\u0930\u0947\u0902 \u0915\u093f \u0906\u092a \u0928\u093f\u092f\u092e\u093f\u0924 \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0930\u0947\u0902 \u0914\u0930 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u094d\u0930\u094b\u0924\u094b\u0902 \u0938\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0932 \u0915\u0930\u0947\u0902 \u0924\u093e\u0915\u093f \u0906\u092a\u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0935\u094d\u092f\u093e\u092a\u0915 \u0914\u0930 \u0938\u0941\u0926\u0943\u0922\u093c \u0939\u094b\u0964<\/span><\/p>\n<h3 data-start=\"1219\" data-end=\"1304\"><a href=\"https:\/\/gate2025.iitr.ac.in\/doc\/download\/2024\/XHC624S3.pdf\" target=\"_blank\" rel=\"noopener\">Equivalence table- Previous year gate question paper in Hindi-Gate 2025- Let P and Q be propositions.<\/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:\/\/www2.cs.uh.edu\/~arjun\/courses\/ds\/DiscMaths4CompSc.pdf\" target=\"_blank\" rel=\"noopener\">Discrete Mathematics for Computer Science<\/a><\/h3>\n<p data-start=\"0\" data-end=\"251\">\u0906\u092a\u0928\u0947 GATE 2025 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 &#8220;Logical Equivalence Table&#8221; \u0914\u0930 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092e\u093e\u0902\u0917\u0940 \u0939\u0948, \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u0909\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u091c\u094b \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 P \u0914\u0930 Q \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948\u0902\u0964 \u0928\u0940\u091a\u0947 \u0907\u0938 \u0935\u093f\u0937\u092f \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0940 \u0917\u0908 \u0939\u0948:<\/p>\n<hr data-start=\"253\" data-end=\"256\" \/>\n<h3 data-start=\"258\" data-end=\"316\">\ud83d\udd01 \u0932\u0949\u091c\u093f\u0915\u0932 \u0907\u0915\u094d\u0935\u093f\u0935\u0947\u0932\u0947\u0902\u0938 \u091f\u0947\u092c\u0932 (Logical Equivalence Table)<\/h3>\n<p data-start=\"318\" data-end=\"391\">\u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0913\u0902 P \u0914\u0930 Q \u0915\u0947 \u0932\u093f\u090f \u0915\u0941\u091b \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0932\u0949\u091c\u093f\u0915\u0932 \u0907\u0915\u094d\u0935\u093f\u0935\u0947\u0932\u0947\u0902\u0938 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u0948\u0902:<\/p>\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=\"393\" data-end=\"888\">\n<thead data-start=\"393\" data-end=\"462\">\n<tr data-start=\"393\" data-end=\"462\">\n<th data-start=\"393\" data-end=\"424\" data-col-size=\"sm\">\u092e\u0942\u0932 \u0915\u0925\u0928 (Original Statement)<\/th>\n<th data-start=\"424\" data-end=\"462\" data-col-size=\"sm\">\u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0915\u0925\u0928 (Equivalent Statement)<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"534\" data-end=\"888\">\n<tr data-start=\"534\" data-end=\"604\">\n<td data-start=\"534\" data-end=\"565\" data-col-size=\"sm\">P \u2192 Q<\/td>\n<td data-col-size=\"sm\" data-start=\"565\" data-end=\"604\">\u00acP \u2228 Q<\/td>\n<\/tr>\n<tr data-start=\"605\" data-end=\"675\">\n<td data-start=\"605\" data-end=\"636\" data-col-size=\"sm\">\u00ac(P \u2228 Q)<\/td>\n<td data-col-size=\"sm\" data-start=\"636\" data-end=\"675\">\u00acP \u2227 \u00acQ (De Morgan&#8217;s Law)<\/td>\n<\/tr>\n<tr data-start=\"676\" data-end=\"746\">\n<td data-start=\"676\" data-end=\"707\" data-col-size=\"sm\">\u00ac(P \u2227 Q)<\/td>\n<td data-col-size=\"sm\" data-start=\"707\" data-end=\"746\">\u00acP \u2228 \u00acQ (De Morgan&#8217;s Law)<\/td>\n<\/tr>\n<tr data-start=\"747\" data-end=\"817\">\n<td data-start=\"747\" data-end=\"778\" data-col-size=\"sm\">P \u2194 Q<\/td>\n<td data-col-size=\"sm\" data-start=\"778\" data-end=\"817\">(P \u2227 Q) \u2228 (\u00acP \u2227 \u00acQ)<\/td>\n<\/tr>\n<tr data-start=\"818\" data-end=\"888\">\n<td data-start=\"818\" data-end=\"849\" data-col-size=\"sm\">\u00ac(P \u2194 Q)<\/td>\n<td data-col-size=\"sm\" data-start=\"849\" data-end=\"888\">(P \u2227 \u00acQ) \u2228 (\u00acP \u2227 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=\"890\" data-end=\"962\">\u092f\u0947 \u0932\u0949\u091c\u093f\u0915 \u0917\u0947\u091f\u094d\u0938 \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0930\u0942\u092a GATE \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0905\u0915\u094d\u0938\u0930 \u092a\u0942\u091b\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<hr data-start=\"964\" data-end=\"967\" \/>\n<h3 data-start=\"969\" data-end=\"1034\">\ud83d\udcd8 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 GATE \u092a\u094d\u0930\u0936\u094d\u0928 (Previous Year GATE Questions)<\/h3>\n<p data-start=\"1036\" data-end=\"1124\">GATE \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0932\u0949\u091c\u093f\u0915\u0932 \u0907\u0915\u094d\u0935\u093f\u0935\u0947\u0932\u0947\u0902\u0938 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 \u0905\u0915\u094d\u0938\u0930 \u092a\u0942\u091b\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f:<\/p>\n<p data-start=\"1126\" data-end=\"1187\"><strong data-start=\"1126\" data-end=\"1137\">\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 P \u2192 Q \u0915\u0947 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948?<\/p>\n<p data-start=\"1189\" data-end=\"1200\"><strong data-start=\"1189\" data-end=\"1200\">\u0935\u093f\u0915\u0932\u094d\u092a:<\/strong><\/p>\n<ol data-start=\"1201\" data-end=\"1238\">\n<li data-start=\"1201\" data-end=\"1209\">\n<p data-start=\"1204\" data-end=\"1209\">P \u2227 Q<\/p>\n<\/li>\n<li data-start=\"1210\" data-end=\"1219\">\n<p data-start=\"1213\" data-end=\"1219\">\u00acP \u2228 Q<\/p>\n<\/li>\n<li data-start=\"1220\" data-end=\"1228\">\n<p data-start=\"1223\" data-end=\"1228\">P \u2228 Q<\/p>\n<\/li>\n<li data-start=\"1229\" data-end=\"1238\">\n<p data-start=\"1232\" data-end=\"1238\">\u00acP \u2227 Q<\/p>\n<\/li>\n<\/ol>\n<p data-start=\"1240\" data-end=\"1264\"><strong data-start=\"1240\" data-end=\"1254\">\u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930:<\/strong> 2. \u00acP \u2228 Q<\/p>\n<p data-start=\"1266\" data-end=\"1440\">\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0914\u0930 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a Testbook \u0915\u0940 \u0935\u0947\u092c\u0938\u093e\u0907\u091f \u092a\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 MCQ \u0915\u094d\u0935\u093f\u091c\u093c \u0915\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u094b \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0902 \u0964<\/p>\n<hr data-start=\"1442\" data-end=\"1445\" \/>\n<h3 data-start=\"1447\" data-end=\"1485\">\ud83d\udcc4 \u0905\u0927\u094d\u092f\u092f\u0928 \u0938\u093e\u092e\u0917\u094d\u0930\u0940 (Study Material)<\/h3>\n<p data-start=\"1487\" data-end=\"1562\">GATE \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0947 \u0932\u093f\u090f, \u0906\u092a \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0938\u093e\u0927\u0928\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ul data-start=\"1564\" data-end=\"1846\">\n<li data-start=\"1564\" data-end=\"1711\">\n<p data-start=\"1566\" data-end=\"1711\"><strong data-start=\"1566\" data-end=\"1579\">Testbook:<\/strong> \u092f\u0939\u093e\u0901 \u092a\u0930 \u0932\u0949\u091c\u093f\u0915\u0932 \u0907\u0915\u094d\u0935\u093f\u0935\u0947\u0932\u0947\u0902\u0938 \u0914\u0930 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0924\u094d\u092e\u0915 \u0932\u0949\u091c\u093f\u0915 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 MCQ \u0915\u094d\u0935\u093f\u091c\u093c \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0902 \u0964<\/p>\n<\/li>\n<li data-start=\"1712\" data-end=\"1846\">\n<p data-start=\"1714\" data-end=\"1846\"><strong data-start=\"1714\" data-end=\"1732\">GeeksforGeeks:<\/strong> \u092f\u0939\u093e\u0901 \u092a\u0930 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e\u0924\u094d\u092e\u0915 \u0914\u0930 \u092a\u094d\u0930\u0925\u092e-\u0915\u094d\u0930\u092e \u0932\u0949\u091c\u093f\u0915 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0928\u094b\u091f\u094d\u0938 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0902 \u0964<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1848\" data-end=\"1851\" \/>\n<h3 data-start=\"1853\" data-end=\"1891\">\ud83c\udfa5 \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u0902\u0938\u093e\u0927\u0928 (Video Resources)<\/h3>\n<p data-start=\"1893\" data-end=\"1989\">\u092f\u0926\u093f \u0906\u092a \u0935\u0940\u0921\u093f\u092f\u094b \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0930\u0928\u093e \u092a\u0938\u0902\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u0940\u0921\u093f\u092f\u094b \u0906\u092a\u0915\u0940 \u092e\u0926\u0926 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ul data-start=\"1991\" data-end=\"2223\">\n<li data-start=\"1991\" data-end=\"2112\">\n<p data-start=\"1993\" data-end=\"2112\">Logical Equivalence with Solved Examples in Discrete Mathematics (Hindi)<\/p>\n<\/li>\n<li data-start=\"2113\" data-end=\"2223\">\n<p data-start=\"2115\" data-end=\"2223\">Propositional Logic &#8211; GATE PYQs Part 2 | Discrete Mathematics<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"2225\" data-end=\"2228\" \/>\n<p data-start=\"2230\" data-end=\"2406\">\u092f\u0926\u093f \u0906\u092a GATE 2025 \u0915\u0947 \u0932\u093f\u090f \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u092a\u0940\u0921\u0940\u090f\u092b\u093c \u092f\u093e \u0905\u0928\u094d\u092f \u0905\u0927\u094d\u092f\u092f\u0928 \u0938\u093e\u092e\u0917\u094d\u0930\u0940 \u0915\u0940 \u0924\u0932\u093e\u0936 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902, \u092e\u0948\u0902 \u0906\u092a\u0915\u094b \u0914\u0930 \u0905\u0927\u093f\u0915 \u0938\u0902\u0938\u093e\u0927\u0928\u094b\u0902 \u0915\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0942\u0901\u0964<\/p>\n<h3 data-start=\"2230\" data-end=\"2406\"><a href=\"https:\/\/www.icsi.edu\/media\/webmodules\/CSEET\/LEGAL_APTITUDE_AND_LOGICAL_REASONING_printable.pdf\" target=\"_blank\" rel=\"noopener\">Equivalence table- Previous year gate question paper in Hindi-Gate 2025- Let P and Q be propositions.<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Equivalence table- Previous year gate question paper in Hindi-Gate 2025- Let P and Q be propositions. [fvplayer id=&#8221;192&#8243;] \u200bGATE (\u0917\u094d\u0930\u0947\u091c\u0941\u090f\u091f \u090f\u092a\u094d\u091f\u0940\u091f\u094d\u092f\u0942\u0921 \u091f\u0947\u0938\u094d\u091f \u0907\u0928 \u0907\u0902\u091c\u0940\u0928\u093f\u092f\u0930\u093f\u0902\u0917) \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0937\u092f \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u092a\u094d\u0930\u094b\u092a\u094b\u091c\u093f\u0936\u0928\u0932 \u0932\u0949\u091c\u093f\u0915 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 \u092d\u0940 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0906\u092a \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u092a\u093f\u091b\u0932\u0947 \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u0924\u094d\u0930\u094b\u0902 \u0915\u0940 \u0916\u094b\u091c \u092e\u0947\u0902 \u0939\u0948\u0902, [&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-2964","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2964","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=2964"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2964\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=2964"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=2964"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=2964"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}