{"id":10520,"date":"2024-01-11T14:56:00","date_gmt":"2024-01-11T09:26:00","guid":{"rendered":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/7-%e0%a4%b8%e0%a5%87-%e0%a4%b5%e0%a4%bf%e0%a4%ad%e0%a4%be%e0%a4%9c%e0%a5%8d%e0%a4%af%e0%a4%a4%e0%a4%be-%e0%a4%95%e0%a5%87-%e0%a4%a8%e0%a4%bf%e0%a4%af%e0%a4%ae\/"},"modified":"2026-05-24T15:52:17","modified_gmt":"2026-05-24T10:22:17","slug":"7-%e0%a4%b8%e0%a5%87-%e0%a4%b5%e0%a4%bf%e0%a4%ad%e0%a4%be%e0%a4%9c%e0%a5%8d%e0%a4%af%e0%a4%a4%e0%a4%be-%e0%a4%95%e0%a5%87-%e0%a4%a8%e0%a4%bf%e0%a4%af%e0%a4%ae","status":"publish","type":"post","link":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/7-%e0%a4%b8%e0%a5%87-%e0%a4%b5%e0%a4%bf%e0%a4%ad%e0%a4%be%e0%a4%9c%e0%a5%8d%e0%a4%af%e0%a4%a4%e0%a4%be-%e0%a4%95%e0%a5%87-%e0%a4%a8%e0%a4%bf%e0%a4%af%e0%a4%ae\/","title":{"rendered":"7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0915\u0947 \u0928\u093f\u092f\u092e"},"content":{"rendered":"\n

\u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u094d\u0915\u0942\u0932\u0940 \u0917\u0923\u093f\u0924 \u092e\u0947\u0902, \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u0909\u091a\u094d\u091a \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u092e\u0947\u0902, \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0937\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0939\u0948\u0964 \u0907\u0928\u0915\u0940 \u092e\u0926\u0926 \u0938\u0947 \u0939\u092e \u0924\u0941\u0930\u0928\u094d\u0924 \u092a\u0939\u091a\u093e\u0928 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0915\u094d\u092f\u093e \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 \u0939\u092e \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0940 2, 3, 4, 5, 6, 8, 9, 10 \u0906\u0926\u093f \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u091c\u093e\u0901\u091a\u0928\u0947 \u0915\u0940 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092d\u0940 \u0938\u094d\u092a\u0937\u094d\u091f \u0939\u0948 \u0915\u093f \u0915\u0941\u091b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0940 \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0915\u0940 \u091c\u093e\u0901\u091a \u0915\u0930\u0928\u093e \u0915\u093e\u095e\u0940 \u0906\u0938\u093e\u0928 \u0939\u0948, \u091c\u092c\u0915\u093f \u0915\u0941\u091b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u092f\u0939 \u0925\u094b\u0921\u093c\u093e \u091c\u091f\u093f\u0932 \u0939\u0948\u0964 <\/p>\n\n

7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u091a\u0941\u0928\u094c\u0924\u0940\u092a\u0942\u0930\u094d\u0923 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0928\u093f\u092f\u092e \u0915\u094b \u0938\u0930\u0932 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0915\u0908 \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u093f\u090f \u0917\u090f \u0939\u0948\u0902\u0964 \u091a\u093f\u0915\u093e \u0913\u092b\u093f\u0932\u0940 \u0915\u093e 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0928\u093f\u092f\u092e<\/a> (\u091a\u093f\u0915\u093e \u0915\u093e \u0928\u093f\u092f\u092e) \u0939\u093e\u0932 \u0939\u0940 \u092e\u0947\u0902 \u0916\u094b\u091c\u093e \u0917\u092f\u093e \u090f\u0915 \u0928\u093f\u092f\u092e \u0939\u0948\u0964 \u092f\u0939\u093e\u0901, \u0939\u092e \u092e\u094c\u091c\u0942\u0926\u093e \u0924\u0930\u0940\u0958\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 7 \u0915\u0947 \u0932\u093f\u090f \u0924\u0940\u0928 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u092a\u0930 \u091a\u0930\u094d\u091a\u093e \u0915\u0930\u0947\u0902\u0917\u0947, \u091c\u094b \u0907\u0938 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u092e\u0947\u0902 \u0928\u090f \u0906\u092f\u093e\u092e \u091c\u094b\u0921\u093c\u0924\u0940 \u0939\u0948\u0902\u0964 <\/p>\n\n

\u0935\u093f\u0927\u093f-1 : \u0907\u0915\u093e\u0908 \u0915\u0947 \u0905\u0902\u0915 \u0915\u094b \u0926\u0941\u0917\u0928\u093e \u0915\u0930\u0928\u093e<\/h2>\n\n
\u0926\u0940 \u0917\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u0940\u091c\u093f\u090f<\/th>\u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b \u0939\u091f\u093e \u0926\u0947\u0902 \u0914\u0930 \u091b\u0901\u091f\u0940 (\u092c\u091a\u0940) \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u093f\u0916\u0947\u0902\u0964 \n <\/th>\u0939\u091f\u093e\u090f \u0917\u090f \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b \u0926\u0941\u0917\u0928\u093e \u0915\u0930\u0947\u0902<\/th>\u091b\u0901\u091f\u0940 \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 \u0938\u0947 \u0926\u0941\u0917\u0928\u093e \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0905\u0902\u0915 \u0918\u091f\u093e\u090f\u0901<\/th>\u092f\u0926\u093f \u092f\u094b\u0917 \u092f\u093e \u0924\u094b 0 \u0939\u0948 \u092f\u093e 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b \u092e\u0942\u0932 \u0938\u0902\u0916\u094d\u092f\u093e 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 (\u092f\u0926\u093f \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u094b \u0924\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u0901) <\/th><\/tr><\/thead>
532<\/td>53<\/td>2 \u00d7 2 = 4<\/td>53 – 4 = 49<\/td>49, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f 532 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948<\/td><\/tr>
427<\/td>42<\/td>2 \u00d7 7 = 14<\/td>42 \u2212 14 = 28<\/td>28, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f 427 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948<\/td><\/tr>
297922975287<\/td>297929728<\/td>2 \u00d7 2 = 42 \u00d7 5 = 102 \u00d7 7 = 14<\/td>2979 \u2212 4 = 2975297 \u2212 10 = 28728 \u2212 14 = 14<\/td>\u0936\u0947\u0937 \u0938\u0902\u0916\u094d\u092f\u093e 2975 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u0901287 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u090114, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f 29792 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948<\/td><\/tr>
\u0905\u092c 2308012 \u0915\u094b \u0939\u0932 \u0915\u0930\u0947\u0902<\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n

\u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0938\u0947 \u0938\u092e\u091d \u092e\u0947\u0902 \u0906\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0939 \u0935\u093f\u0927\u093f \u0924\u0940\u0928-\u0905\u0902\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0932\u092e\u094d\u092c\u0947 \u0935\u093f\u092d\u093e\u091c\u0928 \u0915\u0947 \u092c\u093f\u0928\u093e 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0915\u0940 \u091c\u093e\u0901\u091a \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 4 \u092f\u093e \u095b\u094d\u092f\u093e\u0926\u093e \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0915\u093e\u095e\u0940 \u0932\u092e\u094d\u092c\u0940 \u0939\u0948\u0964<\/strong><\/strong><\/p>\n\n

\u0928\u093f\u092f\u092e \u0915\u093e \u0906\u0927\u093e\u0930<\/h2>\n\n

\u092e\u093e\u0928\u093e \u0915\u093f \\(N = 1000\\ a_{3}+ 100\\ a_{2} + 10\\ a_{1} + a_{0}\\)<\/span>(\u091c\u0939\u093e\u0901 \\(a_{0}, a_{1}, a_{2}, a_{3}\\) 4 \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e N<\/em> \u0915\u0947 \u0905\u0902\u0915 \u0939\u0948\u0902) <\/p>\n\n

\u0928\u093f\u092f\u092e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930, \u0939\u092e N<\/em> \u0915\u0947 \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u0947 \u092c\u093f\u0928\u093e, \u092f\u093e\u0928\u0940 \u091b\u0901\u091f\u0940 \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e (\u091c\u0948\u0938\u0947 \\(N_{T}\\)<\/strong><\/em>) \u0932\u093f\u0916\u0924\u0947 \u0939\u0948\u0902, \u0914\u0930 \u092b\u093f\u0930 \u091b\u0901\u091f\u0940 \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \\(N_{T}\\) \u092e\u0947\u0902 \u0938\u0947 \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u093e \u0926\u0941\u0917\u0928\u093e \u0918\u091f\u093e\u0915\u0930 \u090f\u0915 \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e (M)<\/em> \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/strong><\/p>\n\n

\\(N_{T} = 100\\ a_{3}+ 10\\ a_{2} + a_{1}\\) (\u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u091b\u0901\u091f\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0938\u094d\u0925\u093e\u0928\u0940\u092f \u092e\u093e\u0928\u094b\u0902 \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u0930 \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902\u0964)\\(M = [latex]N_{T}\\) – 2a_{0} = 100\\ a_{3} + 10\\ a_{2} + a_{1} – 2a_{0}[\/latex]<\/span><\/p>\n\n

\u0939\u092e\u093e\u0930\u093e \u0928\u093f\u092f\u092e \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0926\u093f M, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b N \u092d\u0940 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948\u0964 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f M, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u092f\u093e\u0928\u0940 \u0915\u093f\u0938\u0940 \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e k \u0915\u0947 \u0932\u093f\u090f M = 7k\u0964<\/p>\n\n

\u0907\u0938\u0932\u093f\u090f, \\(M = 7k = 100 a_{3} + 10 a_{2} + a_{1} – 2a_{0}\\)<\/span> or \\(100 a_{3} + 10 a_{2} + a_{1} =7k + 2a_{0}.\\)<\/span> N \u092e\u0947\u0902 \u0907\u0938 \u092e\u093e\u0928 \u0915\u094b \u0930\u0916\u0928\u0947 \u092a\u0930, <\/p>\n\n

\\(N = 1000\\ a_{3} + 100\\ a_{2} + 10\\ a_{1} + a_{0}\\)<\/span>\\(N = (1000\\ a_{3} + 100\\ a_{2} + 10\\ a_{1} )+ a_{0} = 10(100\\ a_{3} + 10\\ a_{2} + a_{1} ) + a_{0}\\)<\/span>\\(= 10(7k + 2a_{0}) + a_{0} = 70k + 21a_{0} = 7(10k + 3a_{0})\\)<\/span><\/p>\n\n

\u0907\u0938\u0932\u093f\u090f, \u092f\u0926\u093f M 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b N \u092d\u0940 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948\u0964 \u0907\u0938\u0947 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0915\u093f\u0924\u0928\u0947 \u092d\u0940 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0943\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n\n

\u0935\u093f\u0927\u093f-2 : \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b 5 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u093e<\/h2>\n\n
\u0926\u0940 \u0917\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u0940\u091c\u093f\u090f<\/th>\u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b \u0939\u091f\u093e \u0926\u0947\u0902 \u0914\u0930 \u091b\u0901\u091f\u0940 (\u092c\u091a\u0940) \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u093f\u0916\u0947\u0902\u0964 \n <\/th>\u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b 5 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u093e<\/th>\u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u091b\u0901\u091f\u0940 \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u0947\u0902<\/th>\u092f\u0926\u093f \u0918\u091f\u093e\u0928\u0947 \u092a\u0930 \u0936\u0947\u0937 0 \u0939\u0948 \u092f\u093e 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b \u092e\u0942\u0932 \u0938\u0902\u0916\u094d\u092f\u093e 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 (\u092f\u0926\u093f \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u094b \u0924\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u0901)<\/th><\/tr><\/thead>
378<\/td>37<\/td>8 \u00d7 5 = 40<\/td>37 + 40 = 77<\/td>77, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f 378 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 <\/td><\/tr>
2464<\/td>246<\/td>5 \u00d7 4 = 20<\/td>246 + 20 = 266<\/td>266 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u0901<\/td><\/tr>
266<\/td>26<\/td>6 \u00d7 5 = 30<\/td>26 + 30 = 56<\/td>56, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0907\u0938\u0932\u093f\u090f 266 \u0914\u0930 2464 \u0926\u094b\u0928\u094b\u0902 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0902<\/td><\/tr>
297922989343<\/td>297929834<\/td>2 \u00d7 5 = 109 \u00d7 5 = 453 \u00d7 5 = 15<\/td>2979 + 10 = 2989298 + 45 = 34334 + 15 = 49 <\/td>2989 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u0901343 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u0926\u094b\u0939\u0930\u093e\u090f\u090149, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948 \u0907\u0938\u0932\u093f\u090f 343, 2989 \u0914\u0930 29792, \u0924\u0940\u0928\u094b\u0902 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0902<\/td><\/tr>
\u0905\u092c 2308012 \u0915\u094b \u0939\u0932 \u0915\u0930\u0947\u0902<\/td><\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n

\u0907\u0938 \u0935\u093f\u0927\u093f \u0915\u0947 \u0932\u093f\u090f, \u0915\u094b\u0908 \u092d\u0940 \u0928\u093f\u092e\u094d\u0928\u093e\u0928\u0941\u0938\u093e\u0930 \u0914\u091a\u093f\u0924\u094d\u092f \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u094b \u092c\u0939\u0941\u0924 \u0939\u0926 \u0924\u0915 \u092a\u093f\u091b\u0932\u0947 \u0935\u093e\u0932\u0947 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u0940 \u0939\u0948\u0964<\/strong><\/p>\n\n

\u092e\u093e\u0928\u093e \u0915\u093f \\(N = 1000\\ a_{3} + 100\\ a_{2}+ 10\\ a_{1} + a_{0}\\)<\/span>(\u091c\u0939\u093e\u0901 \\(a_{0}, a_{1}, a_{2}, a_{3}\\) 4 \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, N \u0915\u0947 \u0905\u0902\u0915 \u0939\u0948\u0902)<\/p>\n\n

\u0928\u093f\u092f\u092e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0939\u092e N \u0915\u0947 \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u0947 \u092c\u093f\u0928\u093e, \u092f\u093e\u0928\u0940 \u091b\u0901\u091f\u0940 \u0939\u0941\u0908 \u0938\u0902\u0916\u094d\u092f\u093e (\u091c\u0948\u0938\u0947 \\(N_{T}\\)) \u0932\u093f\u0916\u0924\u0947 \u0939\u0948\u0902, \u0914\u0930 \u092b\u093f\u0930 \\(N_{T}\\) \u092e\u0947\u0902 \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u093e \u092a\u093e\u0901\u091a \u0917\u0941\u0928\u093e \u091c\u094b\u0921\u093c\u0915\u0930 \u090f\u0915 \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e (\u092e\u093e\u0928 \u0932\u0947\u0902 M) \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/strong><\/p>\n\n

\\(N_{T} = 100\\ a_{3}+ 10\\ a_{2} + a_{1}\\)\\(M = N_{T} + 5a_{0} = 100\\ a_{3} + 10\\ a_{2} + a_{1} + 5a_{0}\\)<\/span><\/p>\n\n

\u0939\u092e\u093e\u0930\u093e \u0928\u093f\u092f\u092e \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0926\u093f M, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b N \u092d\u0940 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948\u0964\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f M, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u092f\u093e\u0928\u0940 \u0915\u093f\u0938\u0940 \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e k \u0915\u0947 \u0932\u093f\u090f M = 7k\u0964<\/p>\n\n

\u0907\u0938\u0932\u093f\u090f, \\(M = 7k = 100 a_{3} + 10 a_{2} + a_{1} + 5a_{0}\\)<\/span> \u092f\u093e \\(100 a_{3} + 10 a_{2} + a_{1} =7k – 5a_{0}\\).<\/span> N \u092e\u0947\u0902 \u0907\u0938 \u092e\u093e\u0928 \u0915\u094b \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n

\\(N = 1000\\ a_{3} + 100\\ a_{2} + 10\\ a_{1} + a_{0}\\)<\/span>\\(N = (1000\\ a_{3} + 100\\ a_{2} + 10\\ a_{1} )+ a_{0} = 10(100\\ a_{3} + 10\\ a_{2} + a_{1} ) + a_{0}\\)<\/span> \\(= 10(7k – 5a_{0}) + a_{0} = 70k – 49a_{0} = 7(10k – 7a_{0})\\)<\/span><\/p>\n\n

\u0907\u0938\u0932\u093f\u090f, \u092f\u0926\u093f M 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b N \u092d\u0940 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948\u0964 \u0907\u0938\u0947 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0915\u093f\u0924\u0928\u0947 \u092d\u0940 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0943\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n\n

\u0935\u093f\u0927\u093f-3 : \u0905\u0902\u0915\u094b\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u092c\u0928\u093e\u0928\u093e (\u0928\u093f\u092f\u092e 1-3-2)<\/h2>\n\n
\u0915\u094b\u0908 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u0940\u091c\u093f\u090f<\/th>\u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0938\u0947 \u0906\u0930\u092e\u094d\u092d \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0924\u0940\u0928 \u0905\u0902\u0915\u094b\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u092c\u0928\u093e\u090f\u0901<\/th>\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u0926\u093e\u090f\u0901 \u0935\u093e\u0932\u0947 \u0905\u0902\u0915 \u0915\u094b 1 \u0938\u0947, \u0905\u0917\u0932\u0947 \u0935\u093e\u0932\u0947 \u0915\u094b 3 \u0938\u0947 \u0914\u0930 \u0938\u092c\u0938\u0947 \u092c\u093e\u090f\u0901 \u0935\u093e\u0932\u0947 \u0905\u0902\u0915 \u0915\u094b 2 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902<\/th>\u0938\u092d\u0940 \u0935\u093f\u0937\u092e \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0947\u0902<\/th>\u0938\u092d\u0940 \u0938\u092e \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0947\u0902<\/th>(c-d) \u0915\u093e \u0905\u0928\u094d\u0924\u0930<\/th><\/tr><\/thead>
<\/td>a<\/strong><\/td>b<\/strong><\/td>c<\/strong><\/td>d<\/strong><\/td>e<\/strong><\/td><\/tr>
N\u2081 = 672<\/td>672<\/td>6 \u00d7 2 + 7 \u00d7 3 + 2 \u00d7 1 = 35<\/td>35<\/td>0<\/td>35<\/td><\/tr>
\u092a\u0930\u093f\u0923\u093e\u092e:<\/td>|c\u2013d|= 35, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 \u0905\u0924\u0903 \u0938\u0902\u0916\u094d\u092f\u093e N3 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 <\/td><\/tr>
N\u2082 = 4704<\/td>004 704<\/td>4 \u00d7 1 = 47 \u00d7 2 + 0 \u00d7 3 + 4 \u00d7 1 = 18<\/td>18<\/td>4<\/td>|18 \u2212 4| = 14<\/td><\/tr>
\u092a\u0930\u093f\u0923\u093e\u092e:<\/td>|c\u2013d|= 14, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f, \u0938\u0902\u0916\u094d\u092f\u093e N2 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964<\/td><\/tr>
N\u2083 = 32921<\/td>032921<\/td>3 \u00d7 3 + 2 \u00d7 2 + 1 \u00d7 1 = 119 \u00d7 2 + 2 \u00d7 3 + 1 \u00d7 1 = 25<\/td>25<\/td>11<\/td>|25 \u2212 11| = 14<\/td><\/tr>
\u092a\u0930\u093f\u0923\u093e\u092e:<\/td>| c \u2013 d |= 14 is divisible by 7. So, the number N3 is also divisible by 7. <\/td><\/tr>
N\u2084 = 197526<\/td>197526<\/td>1 \u00d7 2 + 9 \u00d7 3 + 7 \u00d7 1 = 365 \u00d7 2 + 2 \u00d7 3 + 6 \u00d7 1 = 22<\/td>22<\/td>36<\/td>|36 \u2212 22| = 14<\/td><\/tr>
\u092a\u0930\u093f\u0923\u093e\u092e:<\/td>|c\u2013d |= 14, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f, \u0938\u0902\u0916\u094d\u092f\u093e N4 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 <\/td><\/tr>
N\u2085 = 164953552568<\/td>164953525268<\/td>1 \u00d7 2 + 6 \u00d7 3 + 4 \u00d7 1 = 249 \u00d7 2 + 5 \u00d7 3 + 3 \u00d7 1 = 365 \u00d7 2 + 2 \u00d7 3 + 5 \u00d7 1 = 212 \u00d7 2 + 6 \u00d7 3 + 8 \u00d7 1 = 30<\/td>30 + 36 = 66<\/td>21 + 24 = 45<\/td>|66 \u2212 45| = 21<\/td><\/tr>
\u092a\u0930\u093f\u0923\u093e\u092e:<\/td>21, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u0907\u0938\u0932\u093f\u090f, \u0938\u0902\u0916\u094d\u092f\u093e N5 \u092d\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 <\/td><\/tr><\/tbody><\/table><\/figure>\n\n

\u092f\u0939 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0915\u0940 \u091c\u093e\u0901\u091a \u0915\u0930\u0928\u0947 \u0915\u093e \u090f\u0915 \u0914\u0930 \u0924\u0930\u0940\u0958\u093e \u0939\u0948\u0964 \u0906\u0907\u090f \u0907\u0938\u0947 \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0938\u092e\u091d\u0924\u0947 \u0939\u0948\u0902\u0964 <\/p>\n\n

    \n
  1. \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0907\u0915\u093e\u0908 \u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \u0906\u0930\u092e\u094d\u092d \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0924\u0940\u0928 \u0905\u0902\u0915\u094b\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u092c\u0928\u093e\u090f\u0901\u0964 \u0936\u0947\u0937 \u0905\u0902\u0915 \u0905\u0928\u094d\u0924\u093f\u092e \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0936\u093e\u092e\u093f\u0932 \u0939\u094b\u0902\u0917\u0947\u0964 \u0915\u094d\u0930\u092e\u0936\u0903 \u092a\u0939\u0932\u093e \u0938\u092e\u0942\u0939 \u0935\u093f\u0937\u092e, \u0926\u0942\u0938\u0930\u093e \u0938\u092e\u0942\u0939 \u0938\u092e, \u0924\u0940\u0938\u0930\u093e \u0935\u093f\u0937\u092e \u0935\u095a\u0948\u0930\u0939 \u0939\u094b\u0902\u0917\u0947\u0964 <\/li>\n\n\n\n
  2. \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u0926\u093e\u090f\u0901 \u0905\u0902\u0915 \u0915\u094b 1 \u0938\u0947, \u0905\u0917\u0932\u0947 \u0935\u093e\u0932\u0947 \u0915\u094b 3 \u0938\u0947 \u0914\u0930 \u0938\u092c\u0938\u0947 \u092c\u093e\u090f\u0901 \u0935\u093e\u0932\u0947 \u0905\u0902\u0915 \u0915\u094b 2 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902\u0964<\/li>\n\n\n\n
  3. \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u092d\u0940 \u0917\u0941\u0923\u0928\u092b\u0932 \u0915\u094b \u091c\u094b\u0921\u093c\u0947\u0902\u0964<\/li>\n\n\n\n
  4. \u0935\u093f\u0937\u092e \u0914\u0930 \u0938\u092e \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/li>\n\n\n\n
  5. \u092f\u0926\u093f \u0907\u0928 \u0926\u094b\u0928\u094b\u0902 \u092f\u094b\u0917\u094b\u0902 \u0915\u093e \u0905\u0928\u094d\u0924\u0930, 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948 \u092f\u093e 0 \u0939\u0948, \u0924\u094b \u092e\u0942\u0932 \u0938\u0902\u0916\u094d\u092f\u093e 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u094b\u0917\u0940\u0964<\/li>\n<\/ol>\n\n

    \u0928\u093f\u092f\u092e \u0915\u093e \u0906\u0927\u093e\u0930<\/h2>\n\n

    \u092e\u093e\u0928\u093e \u0915\u093f \\(N = 100000\\ a_{5} + 10000\\ a_{4} + 1000\\ a_{3} + 100\\ a_{2} + 10\\ a_{1} + a_{0}\\)<\/span>(\u091c\u0939\u093e\u0901 \\(a_{0}, a_{1}, a_{2}, a_{3}, a_{4}, a_{5},\\) 6 \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, N \u0915\u0947 \u0905\u0902\u0915 \u0939\u0948\u0902)<\/p>\n\n

    \\(S1 = a_{0} \\times 1 + a_{1} \\times 3 + a_{2} \\times 2\\)<\/span>\\(S2 = a_{3} \\times 1 + a_{4} \\times 3 + a_{5} \\times 2\\)<\/span>\\(M = S_{1} – S_{2}\\)<\/p>\n\n

    \u0939\u092e\u093e\u0930\u093e \u0928\u093f\u092f\u092e \u0915\u0939\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0926\u093f M, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b N \u092d\u0940 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948\u0964\u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f M, 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u092f\u093e\u0928\u0940 \u0915\u093f\u0938\u0940 \u092a\u0942\u0930\u094d\u0923 \u0938\u0902\u0916\u094d\u092f\u093e k \u0915\u0947 \u0932\u093f\u090f M = 7k\u0964<\/p>\n\n

    \\(7k = (a_{0} \u00d7 1 + a_{1}, \u00d7 3 + a_{2} \u00d7 2) \u2013 ( a_{3} \u00d7 1 + a_{4} \u00d7 3 + a_{5} \u00d7 2)\\)\\(= (-2a_{5} – 3a_{4} – a_{3} + 2a_{2} + 3a_{1} + a_{0})\\)<\/span><\/p>\n\n

    \\(N = (100002a_{5} – 2a_{5}) + (10003a_{4} – 3a_{4}) + (1001a_{3} – a_{3}) + (98a_{2} + 2a_{2})\\) \\(+ (7a_{1} + 3a_{1}) + a_{0}\\)<\/span><\/p>\n\n

    \\(N = 7(14286a_{5} + 1429a_{4} + 143a_{3} + 14a_{2} + a_{1}) + (-2a_{5} – 3a_{4} – a_{3} + 2a_{2}\\) \\(+ 3a_{1} + a_{0})\\)<\/span><\/p>\n\n

    \\(N = 7(14286a_{5} + 1429a_{4} + 143a_{3} + 14a_{2} +a_{1}) + 7k\\)<\/span><\/p>\n\n

    \u0907\u0938\u0932\u093f\u090f, \u092f\u0926\u093f M 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948, \u0924\u094b N \u092d\u0940 7 \u0915\u093e \u0917\u0941\u0923\u091c \u0939\u0948\u0964 \u0907\u0938\u0947 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0915\u093f\u0924\u0928\u0947 \u092d\u0940 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0943\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n\n

    \u0928\u094b\u091f : \u0928\u093f\u092f\u092e 1-3-2 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 2 \u092f\u093e \u0905\u0927\u093f\u0915 \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0939\u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0940 7 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0914\u0930 \u0936\u0940\u0918\u094d\u0930\u0924\u093e \u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0948\u0964 <\/p>\n\n

    \u0924\u0941\u0932\u0928\u093e<\/h2>\n\n
    \u0924\u0930\u0940\u0958\u093e<\/th>\u0906\u0935\u0936\u094d\u092f\u0915 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901<\/th>\u091f\u093f\u092a\u094d\u092a\u0923\u0940<\/th><\/tr><\/thead>
    \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b \u0926\u094b\u0917\u0941\u0928\u093e \u0915\u0930\u0928\u093e<\/td>\u00d7, \u2013<\/td>2 \u092f\u093e 3 \u0905\u0902\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940\u0964<\/td><\/tr>
    \u0907\u0915\u093e\u0908 \u0905\u0902\u0915 \u0915\u094b 5 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u093e<\/td>\u00d7, +<\/td>2 \u092f\u093e 3 \u0905\u0902\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940\u0964<\/td><\/tr>
    \u0928\u093f\u092f\u092e 132<\/td>\u00d7, +, \u2013 \u0938\u092e\u0942\u0939\u0940\u0915\u0930\u0923<\/td>\u0924\u0940\u0928 \u0905\u0902\u0915 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0905\u0902\u0915 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u0940\u0964<\/td><\/tr><\/tbody><\/table><\/figure>\n\n

    \u0907\u0938 \u0924\u0930\u0939 \u0915\u0940 \u0916\u094b\u091c\u092c\u0940\u0928 \u0938\u0947 \u0936\u093f\u0915\u094d\u0937\u0915\u094b\u0902 \u0915\u094b \u0910\u0938\u0947 \u092a\u093e\u0920\u094b\u0902 \u0915\u0940 \u092f\u094b\u091c\u0928\u093e \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0938\u0947 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u092e\u0938\u094d\u092f\u093e \u0938\u092e\u093e\u0927\u093e\u0928, \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0938\u094b\u091a \u0914\u0930 \u0917\u0923\u0928\u093e\u0924\u094d\u092e\u0915 (\u0905\u092d\u093f\u0915\u0932\u0928\u093e\u0924\u094d\u092e\u0915) \u0938\u094b\u091a \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0935\u093f\u0915\u0938\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0917\u0923\u093f\u0924 \u0914\u0930 \u0917\u0923\u0928\u093e\u0924\u094d\u092e\u0915 \u0938\u094b\u091a \u0915\u0940 \u0905\u092e\u0942\u0930\u094d\u0924\u0924\u093e\u0913\u0902 \u0914\u0930 \u0905\u0928\u094d\u092f \u092e\u0941\u0916\u094d\u092f \u0924\u0915\u0928\u0940\u0915\u094b\u0902, \u091c\u0948\u0938\u0947 \u0918\u091f\u0928\u093e\u0913\u0902 \u0915\u0940 \u0917\u0923\u093f\u0924\u0940\u092f \u092e\u0949\u0921\u0932\u093f\u0902\u0917 \u0914\u0930 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u0932\u0928 \u0915\u0947 \u0935\u093f\u0915\u093e\u0938 \u0915\u0947 \u0938\u093e\u0925 \u0915\u093e\u092e \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u091c \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 <\/em>. (NCF-SE 2023).<\/p>\n\n

    \u092f\u0926\u093f \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0928\u093f\u092f\u092e\u094b\u0902 \u0915\u093e \u0936\u093f\u0915\u094d\u0937\u0923 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094c\u0936\u0932 \u0915\u093e \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0939\u0940 \u0930\u0941\u0915 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0939\u092e \u0910\u0938\u0947 \u0938\u092e\u0943\u0926\u094d\u0927 \u0935\u093f\u0937\u092f \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0915\u094b, \u0917\u092e\u094d\u092d\u0940\u0930 \u0930\u0942\u092a \u0938\u0947 \u0938\u0940\u092e\u093f\u0924 \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092a\u0942\u091b\u0928\u093e \u0915\u093f \u0928\u093f\u092f\u092e \u0915\u094d\u092f\u094b\u0902 \u0915\u093e\u092e \u0915\u0930\u0924\u093e \u0939\u0948, \u0907\u0938\u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0940\u0915\u0930\u0923 \u0915\u0930\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0928\u093e, \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0928\u093f\u092f\u092e\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u0915\u0930\u0928\u093e \u0914\u0930 \u092b\u093f\u0930 \u0905\u092a\u0928\u0947 \u0938\u094d\u0935\u092f\u0902 \u0915\u0947 \u0928\u093f\u092f\u092e \u092c\u0928\u093e\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0928\u093e, \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0928 \u0915\u0947\u0935\u0932 \u0917\u0923\u093f\u0924\u0940\u092f \u0915\u094d\u0937\u092e\u0924\u093e \u0935\u093f\u0915\u0938\u093f\u0924 \u0915\u0930\u0947\u0917\u093e \u092c\u0932\u094d\u0915\u093f \u0935\u093f\u0937\u092f \u0915\u093e \u0906\u0928\u0928\u094d\u0926 \u0914\u0930 \u0938\u094c\u0928\u094d\u0926\u0930\u094d\u092f \u0915\u0940 \u0938\u092e\u091d \u092d\u0940 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0947\u0917\u093e\u0964 <\/p>\n","protected":false},"excerpt":{"rendered":"

    \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u0928\u093f\u092f\u092e \u0938\u094d\u0915\u0942\u0932\u0940 \u0917\u0923\u093f\u0924 \u092e\u0947\u0902, \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u0909\u091a\u094d\u091a \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915 \u0915\u0915\u094d\u0937\u093e\u0913\u0902 \u092e\u0947\u0902, \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u0947 \u092e\u0939\u0924\u094d\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0937\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0939\u0948\u0964 \u0907\u0928\u0915\u0940 \u092e\u0926\u0926 \u0938\u0947 \u0939\u092e \u0924\u0941\u0930\u0928\u094d\u0924 \u092a\u0939\u091a\u093e\u0928 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0915\u094d\u092f\u093e \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964 \u0939\u092e \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0940 2, 3, 4, 5, 6, 8, 9, 10 \u0906\u0926\u093f \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u094d\u092f\u0924\u093e \u091c\u093e\u0901\u091a\u0928\u0947 \u0915\u0940 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 […]<\/p>\n","protected":false},"author":3,"featured_media":15934,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[239],"tags":[527,507,377,490],"stage-class":[1008],"magazine_category":[257],"class_list":["post-10520","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category---hi","tag-527","tag--hi","tag-377","tag-490","stage-class-middle-class-6-8-hi","magazine_category--18--2024"],"acf":[],"jetpack_featured_media_url":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/f26.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/10520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/comments?post=10520"}],"version-history":[{"count":2,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/10520\/revisions"}],"predecessor-version":[{"id":24320,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/10520\/revisions\/24320"}],"wp:attachment":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/media?parent=10520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/categories?post=10520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/tags?post=10520"},{"taxonomy":"stage-class","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/stage-class?post=10520"},{"taxonomy":"magazine_category","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/magazine_category?post=10520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}