{"id":3124,"date":"2025-06-07T13:37:27","date_gmt":"2025-06-07T13:37:27","guid":{"rendered":"https:\/\/diznr.com\/?p=3124"},"modified":"2025-06-07T13:37:27","modified_gmt":"2025-06-07T13:37:27","slug":"previous-year-gate-question-in-hindi-gate-2015-set-theory-for-a-set-a-power-the","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/previous-year-gate-question-in-hindi-gate-2015-set-theory-for-a-set-a-power-the\/","title":{"rendered":"Previous year gate question in Hindi – GATE 2025 Set theory For a set A the power"},"content":{"rendered":"

Previous year gate question in Hindi – GATE 2025\u00a0 Set theory For a set A the power<\/p>\n

[fvplayer id=”264″]<\/p>\n

\u092f\u0939\u093e\u0901 \u090f\u0915 GATE CSE 2025 \u0915\u093e \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0948, \u091c\u094b \u092a\u093e\u0935\u0930 \u0938\u0947\u091f \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948:<\/p>\n

\n

\ud83e\uddfe \u092a\u094d\u0930\u0936\u094d\u0928:<\/h3>\n

For a set A, the power set of A is denoted by 2^A. If A = {5, {6}, {7}}, which of the following options are TRUE?<\/strong><\/p>\n

    \n
  1. \n

    \u2205 \u2208 2^A<\/p>\n<\/li>\n

  2. \n

    \u2205 \u2286 2^A<\/p>\n<\/li>\n

  3. \n

    {5, {6}} \u2208 2^A<\/p>\n<\/li>\n

  4. \n

    {5, {6}} \u2286 2^A<\/p>\n<\/li>\n<\/ol>\n

    \n

    \u2705 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930:<\/h3>\n

    1, 2, \u0914\u0930 3 \u0938\u0939\u0940 \u0939\u0948\u0902\u0964<\/strong><\/p>\n

    \n

    \ud83d\udd0d \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e:<\/h3>\n
      \n
    1. \n

      \u2205 \u2208 2^A:<\/strong>
      \u092a\u093e\u0935\u0930 \u0938\u0947\u091f 2^A \u092e\u0947\u0902 \u0938\u092d\u0940 \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f (\u2205) \u092d\u0940 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f, \u2205 \u2208 2^A \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/p>\n<\/li>\n

    2. \n

      \u2205 \u2286 2^A:<\/strong>
      \u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0938\u092d\u0940 \u0938\u092e\u0941\u091a\u094d\u091a\u092f\u094b\u0902 \u0915\u093e \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u094b\u0924\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u2205 \u2286 2^A \u092d\u0940 \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/p>\n<\/li>\n

    3. \n

      {5, {6}} \u2208 2^A:<\/strong>
      A = {5, {6}, {7}} \u0939\u0948, \u0924\u094b {5, {6}} A \u0915\u093e \u090f\u0915 \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092f\u0939 2^A \u0915\u093e \u090f\u0915 \u0938\u0926\u0938\u094d\u092f \u0939\u094b\u0917\u093e\u0964 \u0905\u0924\u0903 {5, {6}} \u2208 2^A \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/p>\n<\/li>\n

    4. \n

      {5, {6}} \u2286 2^A:<\/strong>
      \u092f\u0939 \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f {5, {6}} \u0915\u0947 \u0924\u0924\u094d\u0935 5 \u0914\u0930 {6} \u0939\u0948\u0902, \u091c\u094b A \u0915\u0947 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u092f\u0939 \u0906\u0935\u0936\u094d\u092f\u0915 \u0928\u0939\u0940\u0902 \u0915\u093f \u092f\u0947 \u0924\u0924\u094d\u0935 2^A \u0915\u0947 \u092d\u0940 \u0924\u0924\u094d\u0935 \u0939\u094b\u0902\u0964 2^A \u0915\u0947 \u0924\u0924\u094d\u0935 A \u0915\u0947 \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0902, \u0928 \u0915\u093f A \u0915\u0947 \u0924\u0924\u094d\u0935\u0964 \u0907\u0938\u0932\u093f\u090f, {5, {6}} \u2286 2^A \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/p>\n<\/li>\n<\/ol>\n

      \n

      \ud83c\udfa5 \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923:<\/h3>\n

      \u0906\u092a \u0907\u0938 \u0935\u093f\u0937\u092f \u092a\u0930 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923 \u092f\u0939\u093e\u0901 \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n

      <\/div>\n
      \n

      \u092f\u0926\u093f \u0906\u092a GATE 2025 \u0915\u0940 \u0924\u0948\u092f\u093e\u0930\u0940 \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u092a\u0930 \u0905\u0927\u093f\u0915 \u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \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\u094b \u0914\u0930 \u092d\u0940 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0914\u0930 \u0938\u0902\u0938\u093e\u0927\u0928\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0942\u0901\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"

      Previous year gate question in Hindi – GATE 2025\u00a0 Set theory For a set A the power [fvplayer id=”264″] \u092f\u0939\u093e\u0901 \u090f\u0915 GATE CSE 2025 \u0915\u093e \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0948, \u091c\u094b \u092a\u093e\u0935\u0930 \u0938\u0947\u091f \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948: \ud83e\uddfe \u092a\u094d\u0930\u0936\u094d\u0928: For a set A, the power set of A is denoted by 2^A. If […]<\/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-3124","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3124","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=3124"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3124\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3124"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3124"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3124"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}