{"id":4167,"date":"2025-10-02T09:00:48","date_gmt":"2025-10-02T09:00:48","guid":{"rendered":"https:\/\/hazarnotes.com\/?p=4167"},"modified":"2026-08-18T17:41:44","modified_gmt":"2026-08-18T17:41:44","slug":"class-5-math-3rd-unit-test-question-paper-set-3-wbbse","status":"publish","type":"post","link":"https:\/\/hazarnotes.com\/mystaging01\/class-5-math-3rd-unit-test-question-paper-set-3-wbbse\/","title":{"rendered":"Class 5 Math 3rd Unit Test Question Paper Set-3 wbbse | \u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 \u09b8\u09c7\u099f-\u09e9"},"content":{"rendered":"<p style=\"text-align: center;\"><strong>THIRD SUMMATIVE EVALUATION<br \/>\nCLASS 5 (V) WBBSE<br \/>\nMATH QUESTION PAPER<br \/>\n<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>Class 5 Math 3rd Unit Test Question Paper Set-3 wbbse | \u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 \u09b8\u09c7\u099f-\u09e9<\/strong><\/span><\/p>\n<p><strong>\ud83d\udccc\u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf <span style=\"color: #ff0000;\">\u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f<\/span> \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 <a href=\"http:\/\/hazarnotes.com\/mystaging01\/class-5-all-subject-question-papers-with-answer-wbbse\/\">Click Here<\/a><\/strong><\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #ff0000;\"><strong>Set-3<\/strong><\/span><\/h2>\n<p style=\"text-align: center;\"><strong>\u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09aa\u09b0\u09cd\u09af\u09be\u09af\u09bc\u0995\u09cd\u09b0\u09ae\u09bf\u0995 \u09ae\u09c2\u09b2\u09cd\u09af\u09be\u09af\u09bc\u09a8<\/strong><br \/>\n<strong>\u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf<\/strong><br \/>\n<strong>\u09ac\u09bf\u09b7\u09af\u09bc : \u0997\u09a3\u09bf\u09a4<\/strong><br \/>\n<strong>\u09aa\u09c2\u09b0\u09cd\u09a3\u09ae\u09be\u09a8 : \u09eb\u09e6\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u09b8\u09ae\u09af\u09bc : \u09e7.\u09e9\u09e6 \u09ae\u09bf\u09a8\u09bf\u099f<\/strong><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #800080;\"><strong>\u2018\u0995\u2019 -\u200c \u09ac\u09bf\u09ad\u09be\u0997 (\u09aa\u09be\u099f\u09c0\u0997\u09a3\u09bf\u09a4)<\/strong><\/span><\/p>\n<p><span style=\"color: #ff0000;\"><strong>\u09e7\u0964 \u09b8\u09a0\u09bf\u0995 \u0989\u09a4\u09cd\u09a4\u09b0\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09ac\u09be\u099a\u09a8 \u0995\u09b0\u09c7 \u09b2\u09c7\u0996\u09cb (\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u099a\u09be\u09b0\u099f\u09bf) : \u09e7\u00d7\u09ea=\u09ea<\/strong><\/span><\/p>\n<p>(\u0995) \u09a6\u09c1\u0987 \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09ac\u09c3\u09b9\u09a4\u09cd\u09a4\u09ae \u0993 \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0\u09a4\u09ae \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af (\u09ef\u09ef \/ \u09e7\u09e6\/ \u09ee\u09ef \/ \u09ed\u09ef)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09ee\u09ef.<\/strong> (\u09ac\u09c3\u09b9\u09a4\u09cd\u09a4\u09ae \u09a6\u09c1\u0987 \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09ef\u09ef, \u0995\u09cd\u09b7\u09c1\u09a6\u09cd\u09b0\u09a4\u09ae \u09e7\u09e6; \u09ef\u09ef\u2212\u09e7\u09e6 = \u09ee\u09ef)<\/p>\n<p>(\u0996) \u09e9 \u098f\u09ac\u0982 \u09ef-\u098f\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1 \u0993 \u0997.\u09b8\u09be.\u0997\u09c1-\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2 (\u09e9 \/ \u09ef \/ \u09e8\u09ed \/ \u09e9\u09e6)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09e8\u09ed<\/strong><\/p>\n<p>(\u0997) `frac\u09e7(\u09ea)` + `frac\u09e7(\u09ea)` + `frac\u09e7(\u09ea)` + `frac\u09e7(\u09ea)` + `frac\u09e7(\u09ea)` \u098f\u09b0 \u09ae\u09be\u09a8 (`frac\u09e7(\u09ea)` \/ `frac\u09e9(\u09ea)` \/ \u09e7 \/ `frac\u09eb(\u09ea)`)<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 `frac\u09eb(\u09ea)`<\/strong><\/p>\n<p>(\u0998) \u098f\u0995\u099f\u09bf \u09ac\u09b0\u09cd\u0997\u09be\u0995\u09be\u09b0 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7\u09b0 \u09aa\u09b0\u09bf\u09b8\u09c0\u09ae\u09be \u09e8\u09ea \u09ae\u09bf\u099f\u09be\u09b0 \u09b9\u09b2\u09c7, \u09a4\u09be\u09b0 \u098f\u0995\u099f\u09bf \u09ac\u09be\u09b9\u09c1\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af (\u09e8 \u09ae\u09bf \/ \u09ea \u09ae\u09bf \/ \u09ec \u09ae\u09bf \/ \u09ee \u09ae\u09bf)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09ec \u09ae\u09bf<\/strong><\/p>\n<p>(\u0999) \u09e7.\u09e8\u09eb-\u0995\u09c7 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u09c7 \u09aa\u09b0\u09bf\u09a3\u09a4 \u0995\u09b0\u09b2\u09c7 \u09b8\u09c7\u099f\u09bf \u098f\u0995\u099f\u09bf (\u09aa\u09cd\u09b0\u0995\u09c3\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6 \/ \u0985\u09aa\u09cd\u09b0\u0995\u09c3\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6 \/ \u09ae\u09bf\u09b6\u09cd\u09b0 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6 \/ \u0995\u09cb\u09a8\u09cb\u099f\u09bf\u0987 \u09a8\u09df)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0985\u09aa\u09cd\u09b0\u0995\u09c3\u09a4 \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6\u0964<\/strong><\/p>\n<p>(\u099a) \u09ef\u099f\u09bf \u09aa\u09c7\u09a8\u09c7\u09b0 \u09a6\u09be\u09ae \u09ea\u09eb \u099f\u09be\u0995\u09be \u09b9\u09b2\u09c7 \u09e7\u09e6\u099f\u09bf \u09aa\u09c7\u09a8\u09c7\u09b0 \u09a6\u09be\u09ae \u09b9\u09ac\u09c7 (\u09ea\u09e6 \u099f\u09be\u0995\u09be \/ \u09eb\u09e6 \u099f\u09be\u0995\u09be \/ \u09e9\u09e6 \u099f\u09be\u0995\u09be \/ \u09ec\u09e6 \u099f\u09be\u0995\u09be)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09eb\u09e6 \u099f\u09be\u0995\u09be<\/strong><\/p>\n<p><span style=\"color: #ff0000;\"><strong>\u09e8\u0964 \u09a8\u09bf\u099a\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u0997\u09c1\u09b2\u09bf\u09b0 \u0989\u09a4\u09cd\u09a4\u09b0 \u09a6\u09be\u0993 (\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u099a\u09be\u09b0\u099f\u09bf) : \u09e8\u00d7\u09ea= \u09ee<\/strong><\/span><\/p>\n<p><strong>(\u0995) \u09a6\u09c1\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2 \u09e7\u09e6\u09e9\u09eb, \u098f\u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be \u09e8\u09e9 \u09b9\u09b2\u09c7 \u0985\u09a8\u09cd\u09af\u099f\u09bf \u0995\u09a4 ?<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>\u09a6\u09c1\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u0997\u09c1\u09a3\u09ab\u09b2 \u09e7\u09e6\u09e9\u09eb \u098f\u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be \u09e8\u09e9<\/p>\n<p>\u0985\u09a8\u09cd\u09af \u09b8\u0982\u0996\u09cd\u09af\u09be = (\u09e7\u09e6\u09e9\u09eb \u00f7 \u09e8\u09e9) = \u09ea\u09eb <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p><strong>(\u0996) \u09b8\u09bf\u09b0\u09be\u099c \u09ac\u09be\u0997\u09be\u09a8\u09c7\u09b0 `frac\u09ec(\u09e7\u09ed)` \u0985\u0982\u09b6\u09c7 \u09ab\u09c1\u09b2\u09c7\u09b0 \u099a\u09be\u09b0\u09be \u09b2\u09be\u0997\u09bf\u09df\u09c7\u099b\u09c7\u0964 \u09ae\u09a3\u09bf\u0995\u09be `frac\u09e9(\u09e9\u09ea)` \u0985\u0982\u09b6\u09c7 \u09ab\u09c1\u09b2\u09c7\u09b0 \u099a\u09be\u09b0\u09be \u09b2\u09be\u0997\u09bf\u09df\u09c7\u099b\u09c7\u0964 \u09a4\u09be\u09b0\u09be \u09a6\u09c1\u099c\u09a8\u09c7 \u09ae\u09cb\u099f \u0995\u09a4 \u0985\u0982\u09b6\u09c7 \u09ab\u09c1\u09b2\u09c7\u09b0 \u099a\u09be\u09b0\u09be \u09b2\u09be\u0997\u09bf\u09df\u09c7\u099b\u09c7 ?<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>`frac\u09ec(\u09e7\u09ed)` + `frac\u09e9(\u09e9\u09ea)`<\/p>\n<p>= `frac{(\u09ec\u00d7\u09e8)+(\u09e9\u00d7\u09e7)}{\u09e9\u09ea}`<\/p>\n<p>= `frac(\u09e7\u09e8+\u09e9){\u09e9\u09ea}`<\/p>\n<p>= `frac(\u09e7\u09eb){\u09e9\u09ea}`<\/p>\n<p>\u2234 \u09b8\u09bf\u09b0\u09be\u099c \u0993 \u09ae\u09a8\u09bf\u0995\u09be \u09ae\u09bf\u09b2\u09c7 \u09ae\u09cb\u099f `frac(\u09e7\u09eb){\u09e9\u09ea}` \u0985\u0982\u09b6\u09c7 \u09ab\u09c1\u09b2\u09c7\u09b0 \u099a\u09be\u09b0\u09be \u09b2\u09be\u0997\u09bf\u09af\u09bc\u09c7\u099b\u09c7\u0964 (\u0989\u09a4\u09cd\u09a4\u09b0)<\/p>\n<p>\u0995\u09c7 \u09ac\u09c7\u09b6\u09bf \u099a\u09be\u09b0\u09be \u09b2\u09be\u0997\u09bf\u09df\u09c7\u099b\u09c7 \u09a4\u09be \u099c\u09be\u09a8\u09be\u09b0 \u099c\u09a8\u09cd\u09af\u09c7 \u0986\u09ae\u09b0\u09be `frac\u09ec(\u09e7\u09ed)` \u098f\u09ac\u0982 `frac\u09e9(\u09e9\u09ea)` \u0995\u09c7 \u09b8\u09ae\u09b9\u09b0 \u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n<p>`frac\u09ec(\u09e7\u09ed)` = `frac(\u09ec\u00d7\u09e8){\u09e7\u09ed\u00d7\u09e8}` = `frac(\u09e7\u09e8){\u09e9\u09ea}`<\/p>\n<p>`frac\u09e9(\u09e9\u09ea)` = `frac(\u09e9\u00d7\u09e7){\u09e9\u09ea\u00d7\u09e7}` = `frac(\u09e9){\u09e9\u09ea}`<\/p>\n<p>= `frac(\u09e7\u09e8){\u09e9\u09ea}` &gt; `frac(\u09e9){\u09e9\u09ea}`<\/p>\n<p>\u2234 \u09b8\u09bf\u09b0\u09be\u099c \u09ac\u09be\u0997\u09be\u09a8\u09c7 \u09ac\u09c7\u09b6\u09bf \u09ab\u09c1\u09b2\u09c7\u09b0 \u099a\u09be\u09b0\u09be \u09b2\u09be\u0997\u09bf\u09df\u09c7\u099b\u09c7\u0964<\/p>\n<p>\u09b8\u09c7 \u0995\u09a4 \u09ac\u09c7\u09b6\u09bf \u09b2\u09be\u0997\u09bf\u09df\u09c7\u099b\u09c7 \u09a4\u09be \u09b9\u09b2\u2014<\/p>\n<p>`frac(\u09e7\u09e8){\u09e9\u09ea}` \u2013 `frac(\u09e9){\u09e9\u09ea}`<\/p>\n<p>= `frac(\u09e7\u09e8\u2013\u09e9){\u09e9\u09ea}`<\/p>\n<p>= `frac(\u09ef){\u09e9\u09ea}` \u0985\u0982\u09b6\u0964 <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p>(\u0997) \u0986\u09df\u09a4\u09be\u0995\u09be\u09b0 \u09ae\u09be\u09a0\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09eb\u09e6 \u09ae\u09bf\u099f\u09be\u09b0 \u098f\u09ac\u0982 \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5 \u09e9\u09e6 \u09ae\u09bf\u099f\u09be\u09b0\u0964 \u09ae\u09be\u09a0\u09c7\u09b0 \u09aa\u09b0\u09bf\u09b8\u09c0\u09ae\u09be \u0995\u09a4 ?<strong> (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09b8\u0982\u0996\u09cd\u09af\u09be \u09e7\u09e8\u09ec)<\/strong><\/p>\n<p><strong>(\u0998) \u09ea\u099f\u09bf \u09b2\u09be\u0999\u09b2 \u09a6\u09bf\u09df\u09c7 \u0995\u09bf\u099b\u09c1 \u099c\u09ae\u09bf \u099a\u09be\u09b7 \u0995\u09b0\u09a4\u09c7 \u09eb \u09a6\u09bf\u09a8 \u09b8\u09ae\u09df \u09b2\u09be\u0997\u09c7\u0964 \u09e7\u099f\u09bf \u09b2\u09be\u0999\u09b2 \u09a6\u09bf\u09df\u09c7 \u0990 \u099c\u09ae\u09bf \u099a\u09be\u09b7 \u0995\u09b0\u09a4\u09c7 \u0995\u09a4 \u09a6\u09bf\u09a8 \u09b8\u09ae\u09df \u09b2\u09be\u0997\u09ac\u09c7 ? (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09e8\u09e6\u09e9)<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09ad\u09be\u09b7\u09be\u09df \u09b8\u09ae\u09b8\u09cd\u09af\u09be\u099f\u09bf,<\/p>\n<table class=\"myTable\">\n<tbody>\n<tr>\n<td width=\"50%\"><b> \u09b2\u09be\u0999\u09b2\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be <\/b><\/td>\n<td width=\"50%\"><b> \u09b8\u09ae\u09df <\/b><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u09ea \u099f\u09bf<\/td>\n<td style=\"text-align: center;\">\u09eb \u09a6\u09bf\u09a8<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u09e7 \u099f\u09bf<\/td>\n<td style=\"text-align: center;\">?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09a5\u09be\u0995\u09b2\u09c7, \u09b2\u09be\u0999\u09b2\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09ac\u09be\u09dc\u09b2\u09c7 \u09a6\u09bf\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09ae\u09ac\u09c7 \u098f\u09ac\u0982 \u09b2\u09be\u0999\u09b2\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u0995\u09ae\u09b2\u09c7, \u09a6\u09bf\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09ac\u09be\u09a1\u09bc\u09ac\u09c7\u0964 \u09b2\u09be\u0999\u09b2\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u0999\u09cd\u0997\u09c7 \u09a6\u09bf\u09a8 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4\u0964<\/p>\n<p>\u0990\u0995\u09bf\u0995 \u09a8\u09bf\u09df\u09ae\u09c7 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n<p>\u0990 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u099c\u09ae\u09bf, \u09ea \u099f\u09bf \u09b2\u09be\u0999\u09b2 \u09a6\u09bf\u09df\u09c7 \u09eb \u09a6\u09bf\u09a8\u09c7 \u099a\u09be\u09b7 \u0995\u09b0\u09be \u09af\u09be\u09df<\/p>\n<p>\u09e7 \u099f\u09bf \u09b2\u09be\u0999\u09b2 \u09a6\u09bf\u09df\u09c7 \u09ea \u00d7 \u09eb \u09a6\u09bf\u09a8\u09c7 \u099a\u09be\u09b7 \u0995\u09b0\u09be \u09af\u09be\u09df<\/p>\n<p>= \u09e8\u09e6 \u09a6\u09bf\u09a8\u09c7 \u099a\u09be\u09b7 \u0995\u09b0\u09be \u09af\u09be\u09df\u0964<\/p>\n<p>\u2234 \u09e7 \u099f\u09bf \u09b2\u09be\u0999\u09b2 \u09a6\u09bf\u09df\u09c7 \u0990 \u099c\u09ae\u09bf \u099a\u09be\u09b7 \u0995\u09b0\u09a4\u09c7 \u09e8\u09e6 \u09a6\u09bf\u09a8 \u09b8\u09ae\u09df \u09b2\u09be\u0997\u09ac\u09c7\u0964 <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p>(\u0999) \u09b8\u09b0\u09b2 \u0995\u09b0\u09cb :<\/p>\n<p>\u09e7\u09ec \u2013 [\u09ee \u2013 {\u09eb \u2013 \u09e8 (\u09e8 \u2013 `\\overline{\u09e7 \u2013 \u09e7}`)}]\u00a0 (<strong>\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09b8\u0982\u0996\u09cd\u09af\u09be \u09e7\u09e9\u09ee<\/strong>)<\/p>\n<p>(\u099a) \u09b8\u09be\u09a8\u09bf\u09df\u09be \u09e7\u09eb\u09e6.\u09eb\u09e6 \u099f\u09be\u0995\u09be\u09df \u098f\u0995 \u099d\u09c1\u09dc\u09bf \u0986\u09ae \u0995\u09bf\u09a8\u09b2\u0964 \u09ac\u09be\u099c\u09be\u09b0\u09c7 \u0997\u09bf\u09df\u09c7 \u09e7\u09ed\u09eb \u099f\u09be\u0995\u09be\u09df \u09a4\u09be \u09ac\u09bf\u0995\u09cd\u09b0\u09bf \u0995\u09b0\u09c7 \u09a6\u09bf\u09b2\u0964 \u09b8\u09c7 \u0995\u09a4 \u099f\u09be\u0995\u09be \u09ac\u09c7\u09b6\u09c0 \u09aa\u09c7\u09b2 ?<strong> (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09b8\u0982\u0996\u09cd\u09af\u09be \u09e7\u09eb\u09e8)<\/strong><\/p>\n<p><span style=\"color: #ff0000;\"><strong>\u09e9\u0964 \u09a8\u09c0\u099a\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u0997\u09c1\u09b2\u09bf\u09b0 \u0989\u09a4\u09cd\u09a4\u09b0 \u09a6\u09be\u0993 (\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u099a\u09be\u09b0\u099f\u09bf) : \u09e9x\u09ea=\u09e7\u09e8<\/strong><\/span><\/p>\n<p><strong>(\u0995) \u09a4\u09bf\u09a8\u099f\u09bf \u0998\u09a3\u09cd\u099f\u09be \u098f\u0995\u09b8\u0999\u09cd\u0997\u09c7 \u09ac\u09be\u099c\u09be\u09b0 \u09aa\u09b0 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09e7\u09eb, \u09e8\u09e6 \u0993 \u09e8\u09eb \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u0985\u09a8\u09cd\u09a4\u09b0 \u09ac\u09be\u099c\u09c7\u0964 \u0995\u09a4\u0995\u09cd\u09b7\u09a3 \u09aa\u09b0 \u0998\u09a3\u09cd\u099f\u09be\u0997\u09c1\u09b2\u09bf \u0986\u09ac\u09be\u09b0 \u098f\u0995\u09b8\u0999\u09cd\u0997\u09c7 \u09ac\u09be\u099c\u09ac\u09c7 ?<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>\u0998\u09a3\u09cd\u099f\u09be\u0997\u09c1\u09b2\u09bf \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09e7\u09eb \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1, \u09e8\u09e6 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u0993 \u09e8\u09eb \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u0985\u09a8\u09cd\u09a4\u09b0 \u09ac\u09be\u099c\u09c7\u0964<br \/>\n\u09a4\u09be\u09b9\u09b2\u09c7 \u098f\u0997\u09c1\u09b2\u09bf \u0986\u09ac\u09be\u09b0 \u098f\u0995\u09b8\u0999\u09cd\u0997\u09c7 \u09ac\u09be\u099c\u09ac\u09c7 \u09a4\u09be\u09a6\u09c7\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1 (LCM) \u09ac\u09c7\u09b0 \u0995\u09b0\u09b2\u09c7\u0964<\/p>\n<p>\u09a4\u09bf\u09a8\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b2.\u09b8\u09be.\u0997\u09c1 &#8211; \u09eb\u00d7\u09e9\u00d7\u09ea\u00d7\u09eb=\u09e9\u09e6\u09e6<\/p>\n<p>\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0998\u09a3\u09cd\u099f\u09be\u0997\u09c1\u09b2\u09bf \u0986\u09ac\u09be\u09b0 \u098f\u0995\u09b8\u0999\u09cd\u0997\u09c7 \u09ac\u09be\u099c\u09ac\u09c7 \u09e9\u09e6\u09e6 \u09b8\u09c7\u0995\u09c7\u09a8\u09cd\u09a1 \u09aa\u09b0\u09c7 (\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09eb \u09ae\u09bf\u09a8\u09bf\u099f \u09aa\u09b0\u09c7)\u0964<\/p>\n<p><strong>(\u0996) \u09ae\u09bf\u09b9\u09bf\u09b0 \u09ac\u09be\u09dc\u09bf \u09a5\u09c7\u0995\u09c7 \u09b8\u09cd\u099f\u09c7\u09b6\u09a8\u09c7 \u09af\u09be\u0993\u09df\u09be\u09b0 \u09b8\u09ae\u09df `frac\u09ed(\u09ee)` \u0985\u0982\u09b6 \u09ac\u09be\u09b8\u09c7 \u0993 `frac\u09e7(\u09e7\u09e8)` \u0985\u0982\u09b6 \u09b8\u09be\u0987\u0995\u09c7\u09b2\u09c7 \u0997\u09c7\u09b2\u0964 \u09ae\u09bf\u09b9\u09bf\u09b0 \u09ac\u09be\u0995\u09bf \u0985\u0982\u09b6 \u09aa\u09a5 \u09b9\u09c7\u0981\u099f\u09c7 \u0997\u09c7\u09b2\u0964 \u09ae\u09bf\u09b9\u09bf\u09b0 \u0995\u09a4 \u0985\u0982\u09b6 \u09aa\u09a5 \u09b9\u09c7\u0981\u099f\u09c7 \u0997\u09c7\u09b2 ?<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>\u09ae\u09bf\u09b9\u09bf\u09b0 \u09ac\u09be\u09b8\u09c7 \u0993 \u09b8\u09be\u0987\u0995\u09c7\u09b2\u09c7 \u0997\u09c7\u09b2, `frac\u09ed(\u09ee)` + `frac\u09e7(\u09e7\u09e8)`<\/p>\n<p>= `frac{(\u09ed\u00d7\u09e9)+(\u09e7\u00d7\u09e8)}{\u09e8\u09ea}`<\/p>\n<p>= `frac(\u09e8\u09e7+\u09e8){\u09e8\u09ea}`<\/p>\n<p>= `frac(\u09e8\u09e9){\u09e8\u09ea}`<\/p>\n<p>\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09ae\u09bf\u09b9\u09bf\u09b0 \u09ae\u09cb\u099f `frac(\u09e8\u09e9){\u09e8\u09ea}` \u0985\u0982\u09b6 \u09ac\u09be\u09b8\u09c7\u0993 \u09b8\u09be\u0987\u0995\u09c7\u09b2\u09c7 \u0997\u09c7\u09b2\u0964<\/p>\n<p>\u09a7\u09b0\u09bf, \u09ae\u09cb\u099f \u09b0\u09be\u09b8\u09cd\u09a4\u09be \u09e7 \u0985\u0982\u09b6<\/p>\n<p>\u09ae\u09bf\u09b9\u09bf\u09b0 \u09b9\u09c7\u0981\u099f\u09c7 \u0997\u09c7\u09b2\u2014<\/p>\n<p>`\u09e7 \u2013 frac(\u09e8\u09e9){\u09e8\u09ea}`<\/p>\n<p>= `frac(\u09e7){\u09e7}\u2013frac(\u09e8\u09e9){\u09e8\u09ea}`<\/p>\n<p>= `frac{(\u09e7\u00d7\u09e8\u09ea)\u2013(\u09e8\u09e9\u00d7\u09e7)}{\u09e8\u09ea}`<\/p>\n<p>= `frac(\u09e8\u09ea\u2013\u09e8\u09e9){\u09e8\u09ea}`<\/p>\n<p>= `frac(\u09e7){\u09e8\u09ea}` <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p><strong>(\u0997) \u098f\u0995\u099f\u09bf \u09ac\u09b0\u09cd\u0997\u09be\u0995\u09be\u09b0 \u09ae\u09be\u09a0\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09ea\u09e6 \u09ae\u09bf\u099f\u09be\u09b0\u0964 \u09aa\u09cd\u09b0\u09a4\u09bf \u09ac\u09b0\u09cd\u0997\u09ae\u09bf\u099f\u09be\u09b0 \u09ec \u099f\u09be\u0995\u09be \u09b9\u09bf\u09b8\u09be\u09ac\u09c7 \u09a4\u09be\u09a4\u09c7 \u0998\u09be\u09b8 \u09b2\u09be\u0997\u09be\u09a4\u09c7 \u0995\u09a4 \u0996\u09b0\u099a \u09b9\u09ac\u09c7 ? (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09a8\u0982 \u09e7\u09e8\u09ef)<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong> <\/span>\u09ac\u09b0\u09cd\u0997\u09be\u0995\u09be\u09b0 \u09ae\u09be\u09a0\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09ea\u09e6 \u09ae\u09bf\u099f\u09be\u09b0 \u0964<\/p>\n<p>\u2234 \u09ac\u09b0\u09cd\u0997\u09be\u0995\u09be\u09b0 \u09ae\u09be\u09a0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u09ea\u09e6\u00d7\u09ea\u09e6 \u09ac\u09b0\u09cd\u0997 \u09ae\u09bf\u099f\u09be\u09b0 = \u09e7\u09ec\u09e6\u09e6 \u09ac\u09b0\u09cd\u0997 \u09ae\u09bf\u099f\u09be\u09b0<\/p>\n<p>\u09ae\u09cb\u099f \u0996\u09b0\u099a = (\u09e7\u09ec\u09e6\u09e6 \u00d7 \u09ec) \u099f\u09be\u0995\u09be = \u09ef\u09ec\u09e6\u09e6 \u099f\u09be\u0995\u09be<\/p>\n<p><strong>(\u0998) \u09e7 \u09a1\u099c\u09a8 \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae \u09ea\u09ee \u099f\u09be\u0995\u09be \u09b9\u09b2\u09c7 \u09e7\u09ef \u099f\u09be \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae \u0990\u0995\u09bf\u0995 \u09a8\u09bf\u09af\u09bc\u09ae\u09c7 \u09a8\u09bf\u09b0\u09cd\u09a3\u09af\u09bc \u0995\u09b0\u09cb\u0964 (\u09e7 \u09a1\u099c\u09a8 = \u09e7\u09e8\u099f\u09bf) (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09a8\u0982 \u09e7\u09ef\u09ee)<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :\u00a0<\/strong><\/span><\/p>\n<p>\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09ad\u09be\u09b7\u09be\u09df \u09b8\u09ae\u09b8\u09cd\u09af\u09be\u099f\u09bf \u09b9\u09b2\u2014<\/p>\n<p>\u09e7 \u09a1\u099c\u09a8 = \u09e7\u09e8 \u099f\u09bf<\/p>\n<table class=\"myTable\">\n<tbody>\n<tr>\n<td width=\"50%\"><b> \u09a1\u09bf\u09ae\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be <\/b><\/td>\n<td width=\"50%\"><b> \u09a1\u09bf\u09ae\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be <\/b><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u09e7\u09e8<\/td>\n<td style=\"text-align: center;\">\u09ea\u09ee<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u09e7\u09ef<\/td>\n<td style=\"text-align: center;\">?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u09a1\u09bf\u09ae\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09ac\u09be\u09dc\u09b2\u09c7 \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae\u0993 \u09ac\u09be\u09dc\u09ac\u09c7\u0964<\/p>\n<p>\u09a1\u09bf\u09ae\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u0995\u09ae\u09b2\u09c7 \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae\u0993 \u0995\u09ae\u09ac\u09c7\u0964<\/p>\n<p>\u09a1\u09bf\u09ae\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u09be\u09a5\u09c7 \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae\u09c7\u09b0 \u09b8\u09b0\u09b2 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995\u0964<\/p>\n<p>\u09e7\u09e8 \u099f\u09bf \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae \u09ea\u09ee \u099f\u09be\u0995\u09be<\/p>\n<p>\u09e7 \u099f\u09bf \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae \u09ea\u09ee \u00f7 \u09e7\u09e8 = \u09ea \u099f\u09be\u0995\u09be<\/p>\n<p>\u09e7\u09ef \u099f\u09bf \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae = \u09e7\u09ef \u00d7 \u09ea = \u09ed\u09ec \u099f\u09be\u0995\u09be<\/p>\n<p>\u2234 \u09e7\u09ef \u099f\u09be \u09a1\u09bf\u09ae\u09c7\u09b0 \u09a6\u09be\u09ae \u09ed\u09ec \u099f\u09be\u0995\u09be\u0964 <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p><strong>(\u0999) \u098f\u0995\u099f\u09bf \u09aa\u09cb\u09b2\u099f\u09cd\u09b0\u09bf\u09a4\u09c7 \u09ea\u09e6\u09e6\u09e6\u099f\u09bf \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u09e8\u09eb\u09e6 \u09a6\u09bf\u09a8\u09c7\u09b0 \u0996\u09be\u09ac\u09be\u09b0 \u09ae\u099c\u09c1\u09a4 \u099b\u09bf\u09b2\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0986\u09b0\u09cb \u09e7\u09e6\u09e6\u09e6\u099f\u09bf \u09ae\u09c1\u09b0\u0997\u09bf \u0986\u09a8\u09be \u09b9\u09b2\u0964 \u0990 \u09ae\u099c\u09c1\u09a4 \u0996\u09be\u09ac\u09be\u09b0\u09c7 \u09ae\u09c1\u09b0\u0997\u09bf\u0997\u09c1\u09b2\u09bf\u09b0 \u0995\u09a4\u09a6\u09bf\u09a8 \u099a\u09b2\u09ac\u09c7 ? (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09a8\u0982 \u09e8\u09e6\u09ed)<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09ad\u09be\u09b7\u09be\u09df \u09b8\u09ae\u09b8\u09cd\u09af\u09be\u099f\u09bf \u09b9\u09b2\u2014<\/p>\n<table class=\"myTable\">\n<tbody>\n<tr>\n<td width=\"50%\"><b> \u09aa\u09cb\u09b2\u099f\u09cd\u09b0\u09bf\u09a4\u09c7 \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be <\/b><\/td>\n<td width=\"50%\"><b> \u0996\u09be\u09ac\u09be\u09b0 \u09ae\u099c\u09c1\u09a4 \u09a6\u09bf\u09a8 \u09b8\u0982\u0996\u09cd\u09af\u09be <\/b><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u09ea\u09e6\u09e6\u09e6<\/td>\n<td style=\"text-align: center;\">\u09e8\u09eb\u09e6<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">\u09e7\u09e6\u09e6\u09e6+\u09ea\u09e6\u09e6\u09e6 = \u09eb\u09e6\u09e6\u09e6<\/td>\n<td style=\"text-align: center;\">?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09ac\u09be\u09dc\u09b2\u09c7 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be \u0995\u09ae\u09ac\u09c7 \u098f\u09ac\u0982 \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u0995\u09ae\u09b2\u09c7 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be \u09ac\u09be\u09dc\u09ac\u09c7\u0964<\/p>\n<p>\u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u0999\u09cd\u0997\u09c7 \u0996\u09be\u09ac\u09be\u09b0 \u09ae\u099c\u09c1\u09a4\u09c7\u09b0 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09ac\u09cd\u09af\u09b8\u09cd\u09a4 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995\u0964<\/p>\n<p>\u09ea\u09e6\u09e6\u09e6 \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u0996\u09be\u09ac\u09be\u09b0 \u09ae\u099c\u09c1\u09a4\u09c7\u09b0 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be \u09e8\u09eb\u09e6 \u09a6\u09bf\u09a8<\/p>\n<p>\u09e7 \u099f\u09bf \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u0996\u09be\u09ac\u09be\u09b0 \u09ae\u099c\u09c1\u09a4\u09c7\u09b0 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be \u09ea\u09e6\u09e6\u09e6 \u00d7 \u09e8\u09eb\u09e6 \u09a6\u09bf\u09a8<\/p>\n<p>\u09eb\u09e6\u09e6\u09e6 \u099f\u09bf \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u0996\u09be\u09ac\u09be\u09b0 \u09ae\u099c\u09c1\u09a4\u09c7\u09b0 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be `frac(\u09ea\u09e6\u09e6\u09e6 \u00d7 \u09e8\u09eb\u09e6){\u09eb\u09e6\u09e6\u09e6}` = \u09e8\u09e6\u09e6 \u09a6\u09bf\u09a8<\/p>\n<p>\u2234 \u09eb\u09e6\u09e6\u09e6 \u099f\u09bf \u09ae\u09c1\u09b0\u0997\u09bf\u09b0 \u09ae\u099c\u09c1\u09a4 \u0996\u09be\u09ac\u09be\u09b0\u09c7\u09b0 \u09a6\u09bf\u09a8\u09b8\u0982\u0996\u09cd\u09af\u09be \u09e8\u09e6\u09e6 \u09a6\u09bf\u09a8\u0964 <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p><strong>(\u099a) \u09b8\u09b0\u09b2 \u0995\u09b0\u09cb : \u09e7\u09e6\u00d7\u09ec \u2013 [\u09eb + {\u09e7\u09e6 \u2013 (\u09eb \u2013 \u09e8)} \u09e9] (\u09aa\u09c3\u09b7\u09cd\u09a0\u09be \u09a8\u0982 \u09e7\u09ea\u09e6)<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :\u00a0<\/strong><\/span><\/p>\n<p>\u09e7\u09e6\u00d7\u09ec \u2013 [\u09eb + {\u09e7\u09e6 \u2013 (\u09eb \u2013 \u09e8)} \u09e9]<\/p>\n<p>= \u09e7\u09e6\u00d7\u09ec \u2013 [\u09eb + {\u09e7\u09e6 \u2013 \u09e9)} \u09e9]<\/p>\n<p>= \u09e7\u09e6\u00d7\u09ec \u2013 [\u09eb + \u09e8\u09e7]<\/p>\n<p>= \u09e7\u09e6 \u00d7 \u09ec \u2013 \u09e8\u09ec<\/p>\n<p>= \u09ec\u09e6 \u2013 \u09e8\u09ec<\/p>\n<p>= \u09e9\u09ea <strong>(\u0989\u09a4\u09cd\u09a4\u09b0)<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>&#8216;\u0996&#8217; \u09ac\u09bf\u09ad\u09be\u0997<\/strong><\/p>\n<p><span style=\"color: #ff0000;\"><strong>\u09ea\u0964 \u09b8\u09a0\u09bf\u0995 \u0989\u09a4\u09cd\u09a4\u09b0\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09ac\u09be\u099a\u09a8 \u0995\u09b0\u09c7 \u09b2\u09c7\u0996\u09cb (\u099a\u09be\u09b0\u099f\u09bf) : \u09e7\u00d7\u09ea=\u09ea<\/strong><\/span><\/p>\n<p>(\u0995) \u0995\u09cb\u09a8\u099f\u09bf \u0986\u0981\u0995\u09a4\u09c7 \u09b8\u09ac\u099a\u09c7\u09df\u09c7 \u0995\u09ae \u099c\u09be\u09df\u0997\u09be \u09b2\u09be\u0997\u09ac\u09c7 ? (\u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \/ \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u0982\u09b6\u200c \/ \u0995\u09cb\u09a3 \/ \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1<\/strong><\/p>\n<p>(\u0996) \u09a4\u09bf\u09a8\u099f\u09bf \u09b8\u09ae\u09b0\u09c7\u0996 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a6\u09bf\u09df\u09c7 \u0995\u09a4\u0997\u09c1\u09b2\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u0986\u0981\u0995\u09be \u09af\u09be\u09df ? (\u09e7\u099f\u09bf \/ \u09e8\u099f\u09bf \/ \u09e9\u099f\u09bf\/ \u0985\u09b8\u0982\u0996\u09cd\u09af)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09e7\u099f\u09bf<\/strong><\/p>\n<p>(\u0997) \u09b8\u09b0\u09b2 \u0995\u09cb\u09a3\u099f\u09bf \u09b9\u09b2 (\u09e6\u00b0 \/ \u09ef\u09e6\u00b0 \/ \u09ec\u09e6\u00b0 \/ \u09e7\u09ee\u09e6\u00b0)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09e7\u09ee\u09e6\u00b0<\/strong><\/p>\n<p>(\u0998) \u098f\u0995\u099f\u09bf \u09ae\u09c1\u0996\u09ac\u09a8\u09cd\u09a7 \u0995\u09cc\u099f\u09be\u09b0 \u09b8\u09ae\u09a4\u09b2\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be (\u09e7\u099f\u09bf \/ \u09e8\u099f\u09bf \/ \u09e9\u099f\u09bf \/ \u098f\u0995\u099f\u09bf\u0993 \u09a8\u09be)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09e8\u099f\u09bf<\/strong><\/p>\n<p>(\u0999) \u09b6\u0999\u09cd\u0995\u09c1\u09b0 \u09a4\u09b2\u09a6\u09c7\u09b6 (\u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0 \/ \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c\u09be\u0995\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0 \/ \u09ac\u09b0\u09cd\u0997\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09be\u0995\u09be\u09b0\u200c \/ \u0986\u09df\u09a4\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09be\u0995\u09be\u09b0)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u0964<\/strong><\/p>\n<p>(\u099a) \u09b8\u09c2\u0995\u09cd\u09b7\u09cd\u09ae\u0995\u09cb\u09a3\u09c0 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c\u09c7\u09b0 \u09b8\u09c2\u0995\u09cd\u09b7\u09cd\u09ae\u0995\u09cb\u09a3\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be (\u09e7\u099f\u09bf \/ \u09e8\u099f\u09bf \/ \u09e9\u099f\u09bf \/ \u09ea\u099f\u09bf)\u0964<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09e9\u099f\u09bf<\/strong><\/p>\n<p><strong>\u09eb\u0964 \u09a8\u09bf\u099a\u09c7\u09b0 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u0997\u09c1\u09b2\u09bf\u09b0 \u0989\u09a4\u09cd\u09a4\u09b0 \u09a6\u09be\u0993 (\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u0986\u099f\u099f\u09bf) : \u09e8\u00d7\u09ee=\u09e7\u09ec<\/strong><\/p>\n<p><strong>(\u0995) \u09b8\u09cd\u0995\u09c7\u09b2\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09ee.\u09eb \u09b8\u09c7\u09ae\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u0982\u09b6 \u0986\u0981\u0995\u09cb \u0993 \u09a4\u09be\u09b0 \u09a8\u09be\u09ae \u09a6\u09be\u0993\u0964<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983<\/strong><\/p>\n<p>\u2022 \u09aa\u09cd\u09b0\u09a5\u09ae\u09c7 \u09b8\u09cd\u0995\u09c7\u09b2\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09ee.\u09eb \u09b8\u09c7\u09ae\u09bf \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u0982\u09b6 \u0986\u0981\u0995\u09cb\u0964<\/p>\n<p>\u2022 \u09b0\u09c7\u0996\u09be\u0982\u09b6\u099f\u09bf\u09b0 \u09a6\u09c1\u0987 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09c7 \u098f\u0995\u099f\u09bf \u098f\u0995\u099f\u09bf \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u099a\u09bf\u09b9\u09cd\u09a8\u09bf\u09a4 \u0995\u09b0\u09cb\u0964<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4179 size-large\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sorolrekha-1024x253.jpg\" alt=\"\" width=\"1024\" height=\"253\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sorolrekha-1024x253.jpg 1024w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sorolrekha-300x74.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sorolrekha-768x190.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sorolrekha-1536x380.jpg 1536w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sorolrekha-2048x506.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u2022 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09a6\u09cd\u09ac\u09df\u09c7\u09b0 \u09a8\u09be\u09ae\u0995\u09b0\u09a3 \u0995\u09b0\u09cb, \u09af\u09c7\u09ae\u09a8 A \u0993 B\u0964<\/p>\n<p>\u09b0\u09c7\u0996\u09be\u0982\u09b6\u099f\u09bf\u09b0 \u09a8\u09be\u09ae \u09b9\u09ac\u09c7 AB \u098f\u09ac\u0982 \u098f\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af AB = \u09ee.\u09eb \u09b8\u09c7\u09ae\u09bf\u0964<\/p>\n<p><strong>(\u0996) \u09b8\u09cd\u09a5\u09c2\u09b2\u0995\u09cb\u09a3 \u0995\u09be\u0995\u09c7 \u09ac\u09b2\u09c7 \u099a\u09bf\u09a4\u09cd\u09b0\u09b8\u09b9 \u09b2\u09c7\u0996\u09cb\u0964<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983<\/strong><\/p>\n<p>\u09b8\u09cd\u09a5\u09c2\u09b2\u0995\u09cb\u09a3 : \u09af\u09c7 \u0995\u09cb\u09a3\u09c7\u09b0 \u09ae\u09be\u09a8 \u09ef\u09e6\u00b0 -\u098f\u09b0 \u099a\u09c7\u09af\u09bc\u09c7 \u09ac\u09a1\u09bc \u098f\u09ac\u0982 \u09e7\u09ee\u09e6\u00b0 -\u098f\u09b0 \u099a\u09c7\u09af\u09bc\u09c7 \u099b\u09cb\u099f \u09a4\u09be\u0995\u09c7 \u09b8\u09cd\u09a5\u09c2\u09b2\u0995\u09cb\u09a3 \u09ac\u09b2\u09c7\u0964<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4178 size-large\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sthulokon-1024x519.jpg\" alt=\"\" width=\"1024\" height=\"519\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sthulokon-1024x519.jpg 1024w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sthulokon-300x152.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sthulokon-768x389.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Sthulokon.jpg 1076w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>\u098f\u0996\u09be\u09a8\u09c7 `angleBAC` \u098f\u0995\u099f\u09bf \u09b8\u09cd\u09a5\u09c2\u09b2\u0995\u09cb\u09a3 \u0995\u09be\u09b0\u09a3 \u098f\u099f\u09bf \u09ef\u09e6\u00b0 -\u098f\u09b0 \u099a\u09c7\u09df\u09c7 \u09ac\u09dc \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09e7\u09ee\u09e6\u00b0-\u098f\u09b0 \u099a\u09c7\u09df\u09c7 \u099b\u09cb\u099f\u0964<\/p>\n<p><strong>(\u0997) \u098f\u0995\u099f\u09bf \u0986\u09df\u09a4\u0998\u09a8\u0995\u09c7\u09b0 \u099a\u09bf\u09a4\u09cd\u09b0 \u0986\u0981\u0995\u09cb\u0964 \u098f\u0995\u099f\u09bf \u0989\u09a6\u09be\u09b9\u09b0\u09a3 \u09a6\u09be\u0993\u0964<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983<\/strong> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4177 size-full\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Ayoto-Ghonok.jpg\" alt=\"\" width=\"995\" height=\"560\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Ayoto-Ghonok.jpg 995w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Ayoto-Ghonok-300x169.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Ayoto-Ghonok-768x432.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Ayoto-Ghonok-800x450.jpg 800w\" sizes=\"auto, (max-width: 995px) 100vw, 995px\" \/><\/p>\n<p>(<strong>\u0998) \u098f\u0995\u099f\u09bf \u099a\u09a4\u09c1\u09b0\u09cd\u09ad\u09c1\u099c\u09be\u0995\u09be\u09b0 \u09ad\u09c2\u09ae\u09bf \u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09aa\u09bf\u09b0\u09be\u09ae\u09bf\u09a1\u09c7\u09b0 \u09a4\u09b2\u09b8\u0982\u0996\u09cd\u09af\u09be \u0993 \u09a7\u09be\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b2\u09c7\u0996\u09cb\u0964<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983<\/strong> \u09a4\u09b2\u09b8\u0982\u0996\u09cd\u09af\u09be\u2014<\/p>\n<p>\u09e7\u099f\u09bf \u099a\u09a4\u09c1\u09b0\u09cd\u09ad\u09c1\u099c \u09ad\u09c2\u09ae\u09bf, \u09ea\u099f\u09bf \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c\u09be\u0995\u09be\u09b0 \u09aa\u09be\u09b0\u09cd\u09b6\u09cd\u09ac\u09a4\u09b2<\/p>\n<p>\u09ae\u09cb\u099f = \u09eb\u099f\u09bf \u09a4\u09b2<\/p>\n<p>\u09a7\u09be\u09b0\u09b8\u0982\u0996\u09cd\u09af\u09be\u2014 \u09ad\u09c2\u09ae\u09bf\u09b0 \u099a\u09a4\u09c1\u09b0\u09cd\u09ad\u09c1\u099c\u09c7\u09b0 \u09ea\u099f\u09bf \u09a7\u09be\u09b0, \u09ad\u09c2\u09ae\u09bf\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09b6\u09c0\u09b0\u09cd\u09b7 \u09a5\u09c7\u0995\u09c7 \u09b6\u09c0\u09b0\u09cd\u09b7\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09af\u09be\u0993\u09af\u09bc\u09be \u09ea\u099f\u09bf \u09a7\u09be\u09b0<\/p>\n<p>\u09ae\u09cb\u099f = \u09ee\u099f\u09bf \u09a7\u09be\u09b0<\/p>\n<p><strong><em>(\u0999) \u099a\u09be\u0981\u09a6\u09be\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09ed\u09eb\u00b0 \u0995\u09cb\u09a3 \u0986\u0981\u0995\u09cb\u0964 \u098f\u099f\u09bf \u0995\u09c0 \u09a7\u09b0\u09a3\u09c7\u09b0 \u0995\u09cb\u09a3 ?<\/em><\/strong><\/p>\n<p><strong><em>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09a8\u09bf\u099c\u09c7 \u0995\u09b0\u09cb\u0964<\/em><\/strong><\/p>\n<p><strong>(\u099a) \u09e7 \u09b8\u09c7\u09ae\u09bf, \u09e9 \u09b8\u09c7\u09ae\u09bf \u0993 \u09eb \u09b8\u09c7\u09ae\u09bf \u09ac\u09be\u09b9\u09c1\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c \u0986\u0981\u0995\u09be \u09b8\u09ae\u09cd\u09ad\u09ac \u0995\u09c0 ? \u09af\u09c1\u0995\u09cd\u09a4\u09bf \u09a6\u09be\u0993\u0964<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09a8\u09bf\u099c\u09c7 \u0995\u09b0\u09cb\u0964<\/strong><\/p>\n<p><strong>(\u099b) \u09e7.\u09eb \u09b8\u09c7\u09ae\u09bf \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09ac\u09c3\u09a4\u09cd\u09a4 \u0986\u0981\u0995\u09cb\u0964<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09a8\u09bf\u099c\u09c7 \u0995\u09b0\u09cb\u0964<\/strong><\/p>\n<p><strong>(\u099c) \u0995\u09cb\u09a3 \u09ad\u09c7\u09a6\u09c7 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c \u0995\u09df \u09aa\u09cd\u09b0\u0995\u09be\u09b0 \u0993 \u0995\u09c0 \u0995\u09c0 ?<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983<\/strong> \u0995\u09cb\u09a3\u09ad\u09c7\u09a6\u09c7 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c \u09aa\u09cd\u09b0\u09a7\u09be\u09a8\u09a4 \u09a4\u09bf\u09a8 \u09aa\u09cd\u09b0\u0995\u09be\u09b0: \u09b8\u09c2\u0995\u09cd\u09b7\u09cd\u09ae\u0995\u09cb\u09a3\u09c0 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c, \u09b8\u09ae\u0995\u09cb\u09a3\u09c0 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c, \u098f\u09ac\u0982 \u09b8\u09cd\u09a5\u09c2\u09b2\u0995\u09cb\u09a3\u09c0 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c\u0964<\/p>\n<p><strong>(\u099d) \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u09ae\u09be\u09a0\u09c7 \u09af\u0996\u09a8 \u09a6\u09cc\u09dc \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0\u09a4\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09b2\u09be\u0987\u09a8 \u0995\u09b0\u09be \u09b9\u09df \u09a4\u0996\u09a8 \u09ac\u09be\u0987\u09b0\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0 \u0986\u0997\u09c7 \u09a6\u09be\u0981\u09dc\u09be\u09df \u0986\u09b0 \u09ad\u09c7\u09a4\u09b0\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0 \u09aa\u09bf\u099b\u09a8\u09c7 \u09a6\u09be\u0981\u09dc\u09be\u09df \u0995\u09c7\u09a8 ?<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u0995\u09be\u09b0\u09a3\u2014<\/strong><\/p>\n<p>(i) \u09ac\u09c3\u09a4\u09cd\u09a4\u09be\u0995\u09be\u09b0 \u099f\u09cd\u09b0\u09cd\u09af\u09be\u0995\u09c7\u09b0 \u09ac\u09be\u0987\u09b0\u09c7\u09b0 \u09b2\u09c7\u09a8\u09c7\u09b0 \u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af \u09ad\u09c7\u09a4\u09b0\u09c7\u09b0 \u09b2\u09c7\u09a8\u09c7\u09b0 \u099a\u09c7\u09af\u09bc\u09c7 \u09ac\u09c7\u09b6\u09bf\u0964<\/p>\n<p>(ii) \u09af\u09a6\u09bf \u09b8\u09ac \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0 \u098f\u0995\u0987 \u09b2\u09be\u0987\u09a8 \u09a5\u09c7\u0995\u09c7 \u09b6\u09c1\u09b0\u09c1 \u0995\u09b0\u09a4, \u09a4\u09be\u09b9\u09b2\u09c7 \u09ac\u09be\u0987\u09b0\u09c7\u09b0 \u09b2\u09c7\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0\u0995\u09c7 \u09ac\u09c7\u09b6\u09bf \u09aa\u09a5 \u09aa\u09be\u09dc\u09bf \u09a6\u09bf\u09a4\u09c7 \u09b9\u09a4\u09cb\u0964<\/p>\n<p>(iii) \u09a4\u09be\u0987 \u09ac\u09be\u0987\u09b0\u09c7\u09b0 \u09b2\u09c7\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0\u0995\u09c7 \u09b8\u09be\u09ae\u09a8\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09b8\u09b0\u09be\u09a8\u09cb \u09b9\u09df, \u09af\u09be\u09a4\u09c7 \u09b8\u0995\u09b2 \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0 \u098f\u0995\u0987 \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u09a6\u09cc\u09dc \u09b6\u09c7\u09b7 \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964<\/p>\n<p><strong>\u09b8\u09be\u09b0\u09b8\u0982\u0995\u09cd\u09b7\u09c7\u09aa :<\/strong> \u09b8\u09ac\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u09b8\u09ae\u09be\u09a8 \u09a6\u09cc\u09dc\u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u09a8\u09bf\u09b6\u09cd\u099a\u09bf\u09a4 \u0995\u09b0\u09a4\u09c7 \u09ac\u09be\u0987\u09b0\u09c7\u09b0 \u09b2\u09c7\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u09af\u09cb\u0997\u09c0\u0995\u09c7 \u09b8\u09be\u09ae\u09a8\u09c7 \u09b0\u09be\u0996\u09be \u09b9\u09df\u0964<\/p>\n<p><strong>(\u099e) \u098f\u0995\u099f\u09bf \u09b8\u09ae\u0995\u09cb\u09a3\u09c0 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c \u0986\u0981\u0995\u09cb\u0964 \u098f\u09b0 \u0995\u099f\u09bf \u09b8\u09c2\u0995\u09cd\u09b7\u09cd\u09ae\u0995\u09cb\u09a3 ?<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4182 size-full\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Somokoni.jpg\" alt=\"\" width=\"958\" height=\"539\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Somokoni.jpg 958w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Somokoni-300x169.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Somokoni-768x432.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Somokoni-800x450.jpg 800w\" sizes=\"auto, (max-width: 958px) 100vw, 958px\" \/><\/p>\n<p><span style=\"color: #ff0000;\"><strong>\u09ec\u0964 \u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09c7\u09b0 \u0989\u09a4\u09cd\u09a4\u09b0 \u09a6\u09be\u0993 : \u09ea<\/strong><\/span><\/p>\n<p><strong>(\u0995) \u09a6\u09c1\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09a6\u09be\u09b9\u09b0\u09a3 \u099a\u09bf\u09a4\u09cd\u09b0\u09b8\u09b9 \u09b2\u09c7\u0996\u09cb\u0964 \u09aa\u09cd\u09b0\u09a4\u09bf \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09a4\u09b2\u09b8\u0982\u0996\u09cd\u09af\u09be \u0995\u09a4 \u09b9\u09ac\u09c7 \u09b2\u09c7\u0996\u09cb\u0964 \u09e8+\u09e8<\/strong><\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983<\/strong> \u09a6\u09c1\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09a6\u09be\u09b9\u09b0\u09a3 \u09b9\u09b2 \u09b8\u09c1\u09b8\u09ae \u09aa\u09bf\u09b0\u09be\u09ae\u09bf\u09a1 \u09ac\u09be \u099a\u09a4\u09c1\u09b8\u09cd\u09a4\u09b2\u0995 \u0993 \u09b8\u09c1\u09b7\u09ae \u0998\u09a8\u0995\u0964<\/p>\n<p><strong>(i) \u09b8\u09c1\u09b7\u09ae \u099a\u09a4\u09c1\u09b8\u09cd\u09a4\u09b2\u0995\u2014<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4176 size-full\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Chotustolok.jpg\" alt=\"\" width=\"974\" height=\"548\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Chotustolok.jpg 974w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Chotustolok-300x169.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Chotustolok-768x432.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Chotustolok-800x450.jpg 800w\" sizes=\"auto, (max-width: 974px) 100vw, 974px\" \/><\/p>\n<p><strong>\u099a\u09bf\u09a4\u09cd\u09b0 :<\/strong> \u098f\u0995\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u099a\u09a4\u09c1\u09b8\u09cd\u09a4\u09b2\u0995\u09c7\u09b0 \u099a\u09be\u09b0\u099f\u09bf \u09a4\u09b2\u0987 \u09b8\u09ae\u09be\u09a8 \u0986\u0995\u09be\u09b0\u09c7\u09b0 \u09b8\u09ae\u09ac\u09be\u09b9\u09c1 \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09a0\u09bf\u09a4\u0964<\/p>\n<p><strong>\u09b8\u09c1\u09b7\u09ae\u09a4\u09be :<\/strong> \u098f\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09a4\u09b2 \u098f\u0995\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u09a4\u09cd\u09b0\u09bf\u09ad\u09c1\u099c \u098f\u09ac\u0982 \u098f\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09b6\u09c0\u09b0\u09cd\u09b7\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a4\u09bf\u09a8\u099f\u09bf \u09a4\u09b2 \u09ae\u09bf\u09b2\u09bf\u09a4 \u09b9\u09df\u0964<\/p>\n<p><strong>\u09a4\u09b2\u09b8\u0982\u0996\u09cd\u09af\u09be :<\/strong> \u09ea\u099f\u09bf\u0964<\/p>\n<p><strong>(ii) \u09b8\u09c1\u09b7\u09ae \u0998\u09a8\u0995<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4175 size-large\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Susomo-Ghonok-1024x576.jpg\" alt=\"\" width=\"1024\" height=\"576\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Susomo-Ghonok-1024x576.jpg 1024w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Susomo-Ghonok-300x169.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Susomo-Ghonok-768x432.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Susomo-Ghonok-800x450.jpg 800w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Susomo-Ghonok.jpg 1321w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p><strong>\u099a\u09bf\u09a4\u09cd\u09b0 :<\/strong> \u098f\u0995\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u0998\u09a8\u0995\u09c7\u09b0 \u099b\u09df\u099f\u09bf \u09a4\u09b2\u0987 \u09b8\u09ae\u09be\u09a8 \u0986\u0995\u09be\u09b0\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09a0\u09bf\u09a4\u0964<\/p>\n<p><strong>\u09b8\u09c1\u09b7\u09ae\u09a4\u09be :<\/strong> \u098f\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09a4\u09b2 \u098f\u0995\u099f\u09bf \u09b8\u09c1\u09b7\u09ae \u09ac\u09b0\u09cd\u0997\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0 \u098f\u09ac\u0982 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09b6\u09c0\u09b0\u09cd\u09b7\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a4\u09bf\u09a8\u099f\u09bf \u09a4\u09b2 \u09ae\u09bf\u09b2\u09bf\u09a4 \u09b9\u09df\u0964<\/p>\n<p><strong>\u09a4\u09b2\u09b8\u0982\u0996\u09cd\u09af\u09be :<\/strong> \u09ec\u099f\u09bf\u0964<\/p>\n<p><strong>(\u0996) \u098f\u0995\u099f\u09bf \u09ac\u09c3\u09a4\u09cd\u09a4 \u098f\u0981\u0995\u09c7 \u09a4\u09be\u09b0 \u099c\u09cd\u09af\u09be, \u09ac\u09cd\u09af\u09be\u09b8 \u0993 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u09a6\u09c7\u0996\u09be\u0993\u0964 \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8 \u0993 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 \u0995\u09c0 ? \u09e9+\u09e7<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4174 size-full\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Britto.jpg\" alt=\"\" width=\"615\" height=\"346\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Britto.jpg 615w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Britto-300x169.jpg 300w\" sizes=\"auto, (max-width: 615px) 100vw, 615px\" \/><\/p>\n<p>\u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8 \u0993 \u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 \u0996\u09c1\u09ac \u09b8\u09b0\u09b2\u0964<\/p>\n<p>\u09ac\u09cd\u09af\u09be\u09b8\u09be\u09b0\u09cd\u09a7 (r) : \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u0995\u09c7\u09a8\u09cd\u09a6\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09b8\u09b0\u09be\u09b8\u09b0\u09bf \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u0964<\/p>\n<p>\u09ac\u09cd\u09af\u09be\u09b8 (d) : \u09ac\u09c3\u09a4\u09cd\u09a4\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09af\u09bc\u09c7 \u09b8\u09b0\u09be\u09b8\u09b0\u09bf \u09b2\u09ae\u09cd\u09ac\u09ad\u09be\u09ac\u09c7 \u0997\u09bf\u09af\u09bc\u09c7 \u09a6\u09c1\u0987 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u0995\u09c7 \u09b8\u0982\u09af\u09c1\u0995\u09cd\u09a4\u0995\u09be\u09b0\u09c0 \u09b0\u09c7\u0996\u09be\u0964<\/p>\n<p style=\"text-align: center;\"><strong>&#8216;\u0997&#8217; \u09ac\u09bf\u09ad\u09be\u0997<\/strong><\/p>\n<p><strong>\u09ed\u0964 (\u0995) \u09e7\u09e7, \u09e7\u09ed, \u09e8\u09e9, _____\u0964 \u09aa\u09b0\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be\u099f\u09bf \u0995\u09a4 ? \u09e7<\/strong><\/p>\n<p><span style=\"color: #800080;\"><strong>\u09b8\u09ae\u09be\u09a7\u09be\u09a8 :<\/strong><\/span><\/p>\n<p>\u09e7\u09ed \u2212 \u09e7\u09e7 = \u09ec<\/p>\n<p>\u09e8\u09e9 \u2212 \u09e7\u09ed = \u09ec<\/p>\n<p>\u09a6\u09c7\u0996\u09be \u09af\u09be\u099a\u09cd\u099b\u09c7 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u09ec, \u098f\u099f\u09bf \u098f\u0995\u099f\u09bf \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u09a7\u09be\u09b0\u09be\u0964<\/p>\n<p>\u09aa\u09b0\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be = \u09e8\u09e9 + \u09ec = \u09e8\u09ef<\/p>\n<p><strong>\u0989\u09a4\u09cd\u09a4\u09b0\u0983 \u09e8\u09ef<\/strong><\/p>\n<p><strong>(\u0996) \u099f\u09cb\u09aa\u09b0\u09c7\u09b0 \u099a\u09bf\u09a4\u09cd\u09b0\u099f\u09bf \u0986\u0981\u0995\u09cb\u0964 \u09e7<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-4173 size-large\" src=\"http:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Topor-1024x576.jpg\" alt=\"\" width=\"1024\" height=\"576\" srcset=\"https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Topor-1024x576.jpg 1024w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Topor-300x169.jpg 300w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Topor-768x432.jpg 768w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Topor-800x450.jpg 800w, https:\/\/hazarnotes.com\/mystaging01\/wp-content\/uploads\/2025\/10\/Topor.jpg 1080w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p><strong>\ud83d\udccc\u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf <span style=\"color: #ff0000;\">\u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f<\/span> \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 <a href=\"http:\/\/hazarnotes.com\/mystaging01\/class-5-all-subject-question-papers-with-answer-wbbse\/\">Click Here<\/a><\/strong><\/p>\n<p><strong>\ud83d\udccc\u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf <span style=\"color: #ff0000;\">\u0987\u0982\u09b0\u09c7\u099c\u09bf<\/span> \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09cb\u09a4\u09cd\u09a4\u09b0 <a href=\"http:\/\/hazarnotes.com\/mystaging01\/class-5-english-textbook-solution-wbbse\/\">Click Here<\/a><\/strong><\/p>\n<p><strong>\ud83d\udccc\u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf <span style=\"color: #ff0000;\">\u09ac\u09be\u0982\u09b2\u09be<\/span> \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09cb\u09a4\u09cd\u09a4\u09b0 <a href=\"http:\/\/hazarnotes.com\/mystaging01\/class-5-bengali-textbook-solution-wbbse\/\">Click Here<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>THIRD SUMMATIVE EVALUATION CLASS 5 (V) WBBSE MATH QUESTION PAPER Class 5 Math 3rd Unit Test Question Paper Set-3 wbbse | \u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 \u09b8\u09c7\u099f-\u09e9 \ud83d\udccc\u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 Click Here Set-3 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u09aa\u09b0\u09cd\u09af\u09be\u09af\u09bc\u0995\u09cd\u09b0\u09ae\u09bf\u0995 \u09ae\u09c2\u09b2\u09cd\u09af\u09be\u09af\u09bc\u09a8 \u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u09ac\u09bf\u09b7\u09af\u09bc : \u0997\u09a3\u09bf\u09a4 \u09aa\u09c2\u09b0\u09cd\u09a3\u09ae\u09be\u09a8 : \u09eb\u09e6\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 &#8230; <a title=\"Class 5 Math 3rd Unit Test Question Paper Set-3 wbbse | \u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 \u09b8\u09c7\u099f-\u09e9\" class=\"read-more\" href=\"https:\/\/hazarnotes.com\/mystaging01\/class-5-math-3rd-unit-test-question-paper-set-3-wbbse\/\" aria-label=\"Read more about Class 5 Math 3rd Unit Test Question Paper Set-3 wbbse | \u09aa\u099e\u09cd\u099a\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09a4\u09c3\u09a4\u09c0\u09af\u09bc \u0987\u0989\u09a8\u09bf\u099f \u099f\u09c7\u09b8\u09cd\u099f \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8\u09aa\u09a4\u09cd\u09b0 \u09b8\u09c7\u099f-\u09e9\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[127,380],"tags":[],"class_list":["post-4167","post","type-post","status-publish","format-standard","hentry","category-127","category-math"],"_links":{"self":[{"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/posts\/4167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/comments?post=4167"}],"version-history":[{"count":0,"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/posts\/4167\/revisions"}],"wp:attachment":[{"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/media?parent=4167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/categories?post=4167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hazarnotes.com\/mystaging01\/wp-json\/wp\/v2\/tags?post=4167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}