{"id":3154,"date":"2025-06-07T07:43:04","date_gmt":"2025-06-07T07:43:04","guid":{"rendered":"https:\/\/diznr.com\/?p=3154"},"modified":"2025-06-07T07:43:04","modified_gmt":"2025-06-07T07:43:04","slug":"day-01-discrete-mathematics-for-gate-in-hindi-type-of-sets-roster-or-tabular-set-method-builder","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-01-discrete-mathematics-for-gate-in-hindi-type-of-sets-roster-or-tabular-set-method-builder\/","title":{"rendered":"Day 01-Discrete mathematics for gate in Hindi -Type of sets Roster or Tabular Set-Builder Method"},"content":{"rendered":"

Day 01-Discrete mathematics for gate in Hindi -Type of sets Roster or Tabular Set-Builder Method<\/p>\n

[fvplayer id=”277″]<\/p>\n

Day 01 \u2013 Discrete Mathematics for GATE (in Hindi)<\/strong>
\ud83c\udfaf Topic: Types of Sets \u2013 Roster (Tabular) & Set-Builder Method<\/strong><\/p>\n

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\ud83d\udcd8 \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 GATE \u0915\u0947 \u0932\u093f\u090f \u0915\u094d\u092f\u094b\u0902 \u091c\u0930\u0942\u0930\u0940 \u0939\u0948?<\/strong><\/h2>\n

Discrete Mathematics GATE CSE \u092e\u0947\u0902 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0937\u092f \u0939\u0948, \u0916\u093e\u0938\u0915\u0930 Theory of Computation<\/strong>, Algorithms<\/strong>, \u0914\u0930 Data Structures<\/strong> \u0915\u0940 \u0938\u092e\u091d \u0915\u0947 \u0932\u093f\u090f\u0964 \u0906\u091c \u0939\u092e \u0936\u0941\u0930\u0941\u0906\u0924 \u0915\u0930\u0947\u0902\u0917\u0947 “Sets”<\/strong> \u0915\u0940 Basic Concept \u0938\u0947\u0964<\/p>\n

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\ud83d\udcda Types of Sets:<\/strong><\/h2>\n

1\ufe0f\u20e3 Roster Method (Tabular Method) \u2013 \u0938\u0942\u091a\u0940 \u092a\u0926\u094d\u0927\u0924\u093f<\/strong><\/h3>\n

\u0907\u0938 \u092a\u0926\u094d\u0927\u0924\u093f \u092e\u0947\u0902 \u0938\u092d\u0940 \u090f\u0932\u093f\u092e\u0947\u0902\u091f\u094d\u0938 \u0915\u094b \u0915\u0930\u094d\u0932\u0940 \u092c\u094d\u0930\u0948\u0915\u0947\u091f {}<\/code> \u092e\u0947\u0902 \u0932\u093f\u0938\u094d\u091f<\/strong> \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0915\u0949\u092e\u093e \u0938\u0947 \u0905\u0932\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n

\ud83d\udd39 Example:<\/strong>
A = {2, 4, 6, 8, 10}
\ud83d\udc49 \u092f\u0939\u093e\u0901 A \u0935\u0939 \u0938\u0947\u091f \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u092e (even) \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 2 \u0938\u0947 10 \u0924\u0915 \u0926\u0940 \u0917\u0908 \u0939\u0948\u0902\u0964<\/p>\n

\ud83d\udde3\ufe0f \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902:<\/strong>
“\u0907\u0938 \u0935\u093f\u0927\u093f \u092e\u0947\u0902 \u0939\u092e \u0938\u0947\u091f \u0915\u0947 \u0938\u092d\u0940 \u0938\u0926\u0938\u094d\u092f \u090f\u0915 \u0938\u093e\u0925 {} \u092e\u0947\u0902 \u0932\u093f\u0916\u0924\u0947 \u0939\u0948\u0902\u0964”<\/p>\n

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2\ufe0f\u20e3 Set-Builder Method \u2013 \u0928\u093f\u0930\u094d\u092e\u093e\u0924\u093e \u0935\u093f\u0927\u093f<\/strong><\/h3>\n

\u0907\u0938 \u092a\u0926\u094d\u0927\u0924\u093f \u092e\u0947\u0902 \u0938\u0947\u091f \u0915\u094b \u0907\u0938 \u0924\u0930\u0939 \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u0939 \u0915\u093f\u0938 \u0928\u093f\u092f\u092e (Rule) \u092f\u093e \u0917\u0941\u0923 (Property)<\/strong> \u0915\u094b follow \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/p>\n

\ud83d\udd39 Example:<\/strong>
A = {x | x is an even number and 2 \u2264 x \u2264 10}
(\u092a\u0922\u093c\u0947\u0902: “A is the set of all x such that x is even and lies between 2 and 10”)<\/p>\n

\ud83d\udde3\ufe0f \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902:<\/strong>
“\u0935\u0939 \u0935\u093f\u0927\u093f \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0947\u091f \u0915\u0947 \u090f\u0932\u093f\u092e\u0947\u0902\u091f\u094d\u0938 \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e \u092f\u093e \u0928\u093f\u092f\u092e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0909\u0928\u094d\u0939\u0947\u0902 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964”<\/p>\n

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\ud83d\udd01 Difference Between Roster and Set-Builder Method:<\/strong><\/h2>\n
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\n\n\n\n\n\n\n\n
\u0906\u0927\u093e\u0930<\/th>\nRoster Method<\/th>\nSet-Builder Method<\/th>\n<\/tr>\n<\/thead>\n
\u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924\u093f<\/td>\n\u090f\u0932\u093f\u092e\u0947\u0902\u091f\u094d\u0938 \u0915\u0940 \u092a\u0942\u0930\u0940 \u0932\u093f\u0938\u094d\u091f \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948<\/td>\n\u0917\u0941\u0923 \u092f\u093e \u0928\u093f\u092f\u092e \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0932\u093f\u092e\u0947\u0902\u091f\u094d\u0938 \u092c\u0924\u093e\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902<\/td>\n<\/tr>\n
\u0938\u094d\u092a\u0937\u094d\u091f\u0924\u093e<\/td>\n\u0938\u0930\u0932, \u091c\u092c \u090f\u0932\u093f\u092e\u0947\u0902\u091f\u094d\u0938 \u0915\u092e \u0939\u094b\u0902<\/td>\n\u091c\u091f\u093f\u0932, \u092a\u0930 \u0932\u0949\u091c\u093f\u0915 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u094b\u0924\u093e \u0939\u0948<\/td>\n<\/tr>\n
\u0909\u092a\u092f\u094b\u0917\u093f\u0924\u093e<\/td>\n\u091b\u094b\u091f\u0947 \u0938\u0947\u091f \u0915\u0947 \u0932\u093f\u090f \u0905\u091a\u094d\u091b\u093e<\/td>\n\u092c\u0921\u093c\u0947 \u092f\u093e \u0905\u0928\u0917\u093f\u0928\u0924 \u0938\u0947\u091f\u094d\u0938 \u0915\u0947 \u0932\u093f\u090f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
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<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\ud83c\udfaf Practice for GATE 2025 Aspirants<\/strong><\/h2>\n

Q1:<\/strong> Write the set of all vowels in the English alphabet using:<\/p>\n