{"id":3135,"date":"2025-06-06T14:07:57","date_gmt":"2025-06-06T14:07:57","guid":{"rendered":"https:\/\/diznr.com\/?p=3135"},"modified":"2025-06-06T14:07:57","modified_gmt":"2025-06-06T14:07:57","slug":"previous-year-gate-question-and-answer-of-discrete-in-hindi-gate-1995-the-number-elements-of","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/previous-year-gate-question-and-answer-of-discrete-in-hindi-gate-1995-the-number-elements-of\/","title":{"rendered":"Previous year gate question and answer of Discrete in Hindi -GATE 1995 The number of elements"},"content":{"rendered":"

Previous year gate question and answer of Discrete in Hindi -GATE 1995 The number of elements<\/p>\n

[fvplayer id=”269″]<\/p>\n

GATE 1995 – \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u094d\u0938 \u0915\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0914\u0930 \u0938\u092e\u093e\u0927\u093e\u0928 (\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902):<\/strong><\/p>\n

\u092a\u094d\u0930\u0936\u094d\u0928:<\/strong>
\u090f\u0915 \u0938\u0947\u091f \u092e\u0947\u0902 \u0915\u0941\u0932 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u0938\u0947\u091f A = {1, 2, 3, 4} \u0914\u0930 \u0938\u0947\u091f B = {a, b}? \u0938\u0947\u091f A \u00d7 B \u0915\u093e \u0915\u093e\u0930\u094d\u091f\u0947\u0936\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0921\u0915\u094d\u091f \u0928\u093f\u0915\u093e\u0932\u0947\u0902 \u0914\u0930 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964<\/p>\n

\u0939\u0932:<\/strong><\/h3>\n

\u0938\u0947\u091f A:<\/strong> {1, 2, 3, 4}
\u0938\u0947\u091f B:<\/strong> {a, b}<\/p>\n

\u0915\u093e\u0930\u094d\u091f\u0947\u0936\u093f\u092f\u0928 \u092a\u094d\u0930\u094b\u0921\u0915\u094d\u091f (A \u00d7 B):<\/strong>
A \u00d7 B = { (1, a), (1, b), (2, a), (2, b), (3, a), (3, b), (4, a), (4, b) }<\/p>\n

\u0915\u0941\u0932 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e:<\/strong>
\u0938\u0947\u091f A \u092e\u0947\u0902 4 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902 \u0914\u0930 \u0938\u0947\u091f B \u092e\u0947\u0902 2 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902\u0964
\u21d2 A \u00d7 B \u092e\u0947\u0902 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e = 4 \u00d7 2 = 8<\/strong><\/p>\n

\u0905\u0924\u0903 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930:<\/strong> 8 \u0924\u0924\u094d\u0935<\/p>\n

\u092f\u0926\u093f \u0914\u0930 \u092a\u094d\u0930\u0936\u094d\u0928 \u092f\u093e \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b, \u0924\u094b \u092c\u0924\u093e\u090f\u0902!<\/p>\n

Previous year gate question and answer of Discrete in Hindi -GATE 1995 The number of elements<\/a><\/h3>\n

ADVANCED DISCRETE MATHEMATICS MM-504 & 505 ( …<\/a><\/h3>\n

\u092f\u0939 \u092a\u094d\u0930\u0936\u094d\u0928 GATE CSE 1995 \u0915\u0947 \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0905\u0928\u0941\u092d\u093e\u0917 \u0938\u0947 \u0939\u0948:<\/span><\/p>\n

\n

\u2753 \u092a\u094d\u0930\u0936\u094d\u0928:<\/h3>\n

\u0938\u0947\u091f<\/strong> S={{\u2205},1,{2,3}}S = \\left\\{ \\left\\{ \\emptyset \\right\\}, 1, \\left\\{ 2, 3 \\right\\} \\right\\}<\/span>S<\/span>=<\/span><\/span>{<\/span>{<\/span>\u2205<\/span>}<\/span>,<\/span>1<\/span>,<\/span>{<\/span>2<\/span>,<\/span>3<\/span>}<\/span>}<\/span><\/span><\/span><\/span><\/span> \u0915\u0947 \u092a\u093e\u0935\u0930 \u0938\u0947\u091f<\/strong> P(S)P(S)<\/span>P<\/span>(<\/span>S<\/span>)<\/span><\/span><\/span><\/span> \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u0947 \u0924\u0924\u094d\u0935 \u0939\u094b\u0902\u0917\u0947?<\/span><\/p>\n

\u0935\u093f\u0915\u0932\u094d\u092a:<\/strong><\/p>\n

    \n
  • \n

    (A) 2<\/p>\n<\/li>\n

  • \n

    (B) 4<\/p>\n<\/li>\n

  • \n

    (C) 8<\/p>\n<\/li>\n

  • \n

    (D) \u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n<\/li>\n<\/ul>\n

    \n

    \u2705 \u0909\u0924\u094d\u0924\u0930: (C) 8<\/strong><\/h3>\n
    \n

    \ud83e\udde0 \u0938\u092e\u093e\u0927\u093e\u0928:<\/h3>\n

    \u0938\u0947\u091f SS<\/span>S<\/span><\/span><\/span><\/span> \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 3 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902:<\/span><\/p>\n

      \n
    1. \n

      {\u2205}\\left\\{ \\emptyset \\right\\}<\/span>{<\/span>\u2205<\/span>}<\/span><\/span><\/span><\/span><\/span> \u2014 \u090f\u0915 \u0938\u0947\u091f \u091c\u093f\u0938\u092e\u0947\u0902 \u0916\u093e\u0932\u0940 \u0938\u0947\u091f \u0939\u0948<\/span><\/p>\n<\/li>\n

    2. \n

      11<\/span>1<\/span><\/span><\/span><\/span> \u2014 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e<\/span><\/p>\n<\/li>\n

    3. \n

      {2,3}\\left\\{ 2, 3 \\right\\}<\/span>{<\/span>2<\/span>,<\/span>3<\/span>}<\/span><\/span><\/span><\/span><\/span> \u2014 \u090f\u0915 \u0938\u0947\u091f \u091c\u093f\u0938\u092e\u0947\u0902 2 \u0914\u0930 3 \u0939\u0948\u0902<\/span><\/p>\n<\/li>\n<\/ol>\n

      \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0947\u091f \u0915\u0947 \u092a\u093e\u0935\u0930 \u0938\u0947\u091f \u092e\u0947\u0902 \u0915\u0941\u0932 2n2^n<\/span>2n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u0924\u0924\u094d\u0935 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u091c\u0939\u093e\u0901 nn<\/span>n<\/span><\/span><\/span><\/span> \u092e\u0942\u0932 \u0938\u0947\u091f \u092e\u0947\u0902 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964<\/span><\/p>\n

      \u092f\u0939\u093e\u0901, n=3n = 3<\/span>n<\/span>=<\/span><\/span>3<\/span><\/span><\/span><\/span>, \u0907\u0938\u0932\u093f\u090f:<\/span><\/p>\n

      \u2223P(S)\u2223=23=8\\left| P(S) \\right| = 2^3 = 8<\/span>\u2223<\/span>P<\/span>(<\/span>S<\/span>)<\/span>\u2223<\/span><\/span>=<\/span><\/span>23<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>8<\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u0905\u0924\u0903, \u092a\u093e\u0935\u0930 \u0938\u0947\u091f P(S)P(S)<\/span>P<\/span>(<\/span>S<\/span>)<\/span><\/span><\/span><\/span> \u092e\u0947\u0902 8 \u0924\u0924\u094d\u0935 \u0939\u094b\u0902\u0917\u0947\u0964<\/span><\/p>\n

      \n

      \ud83d\udcda \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940:<\/h3>\n

      \u092a\u093e\u0935\u0930 \u0938\u0947\u091f P(S)P(S)<\/span>P<\/span>(<\/span>S<\/span>)<\/span><\/span><\/span><\/span> \u0915\u0947 \u0924\u0924\u094d\u0935 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u094b\u0902\u0917\u0947:<\/span><\/p>\n

        \n
      1. \n

        \u2205\\emptyset<\/span>\u2205<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      2. \n

        {{\u2205}}\\left\\{ \\left\\{ \\emptyset \\right\\} \\right\\}<\/span>{<\/span>{<\/span>\u2205<\/span>}<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      3. \n

        {1}\\left\\{ 1 \\right\\}<\/span>{<\/span>1<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      4. \n

        {{2,3}}\\left\\{ \\left\\{ 2, 3 \\right\\} \\right\\}<\/span>{<\/span>{<\/span>2<\/span>,<\/span>3<\/span>}<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      5. \n

        {{\u2205},1}\\left\\{ \\left\\{ \\emptyset \\right\\}, 1 \\right\\}<\/span>{<\/span>{<\/span>\u2205<\/span>}<\/span>,<\/span>1<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      6. \n

        {1,{2,3}}\\left\\{ 1, \\left\\{ 2, 3 \\right\\} \\right\\}<\/span>{<\/span>1<\/span>,<\/span>{<\/span>2<\/span>,<\/span>3<\/span>}<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      7. \n

        {{\u2205},{2,3}}\\left\\{ \\left\\{ \\emptyset \\right\\}, \\left\\{ 2, 3 \\right\\} \\right\\}<\/span>{<\/span>{<\/span>\u2205<\/span>}<\/span>,<\/span>{<\/span>2<\/span>,<\/span>3<\/span>}<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n

      8. \n

        {{\u2205},1,{2,3}}\\left\\{ \\left\\{ \\emptyset \\right\\}, 1, \\left\\{ 2, 3 \\right\\} \\right\\}<\/span>{<\/span>{<\/span>\u2205<\/span>}<\/span>,<\/span>1<\/span>,<\/span>{<\/span>2<\/span>,<\/span>3<\/span>}<\/span>}<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ol>\n

        \n

        \ud83d\udcfa \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u092e\u093e\u0927\u093e\u0928:<\/h3>\n

        \u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u092e\u093e\u0927\u093e\u0928 \u0906\u092a \u092f\u0939\u093e\u0901 \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/span><\/p>\n

        \n
        <\/div>\n<\/div>\n
        \n

        \u092f\u0926\u093f \u0906\u092a GATE \u0915\u0947 \u0905\u0928\u094d\u092f \u0935\u0930\u094d\u0937\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0938\u092e\u093e\u0927\u093e\u0928 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902!<\/p>\n","protected":false},"excerpt":{"rendered":"

        Previous year gate question and answer of Discrete in Hindi -GATE 1995 The number of elements [fvplayer id=”269″] GATE 1995 – \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u094d\u0938 \u0915\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0914\u0930 \u0938\u092e\u093e\u0927\u093e\u0928 (\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902): \u092a\u094d\u0930\u0936\u094d\u0928:\u090f\u0915 \u0938\u0947\u091f \u092e\u0947\u0902 \u0915\u0941\u0932 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u0938\u0947\u091f A = {1, 2, 3, 4} \u0914\u0930 \u0938\u0947\u091f B = {a, b}? \u0938\u0947\u091f A \u00d7 […]<\/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-3135","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3135","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=3135"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3135\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}