{"id":4197,"date":"2025-06-06T14:45:34","date_gmt":"2025-06-06T14:45:34","guid":{"rendered":"https:\/\/diznr.com\/?p=4197"},"modified":"2025-06-06T14:45:34","modified_gmt":"2025-06-06T14:45:34","slug":"square-of-number-tricks-for-railway-gate-banking-interview","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/square-of-number-tricks-for-railway-gate-banking-interview\/","title":{"rendered":"SQUARE OF NUMBER tricks for Railway Gate Banking Interview."},"content":{"rendered":"<p>SQUARE OF NUMBER tricks for Railway Gate Banking Interview.<\/p>\n<p>[fvplayer id=&#8221;653&#8243;]<\/p>\n<h3 data-start=\"0\" data-end=\"107\"><strong data-start=\"7\" data-end=\"100\">\u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u0935\u0930\u094d\u0917 (Square) \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938 &#8211; \u0930\u0947\u0932\u0935\u0947, GATE \u0914\u0930 \u092c\u0948\u0902\u0915\u093f\u0902\u0917 \u0907\u0902\u091f\u0930\u0935\u094d\u092f\u0942 \u0915\u0947 \u0932\u093f\u090f<\/strong><\/h3>\n<h3 data-start=\"114\" data-end=\"148\"><strong data-start=\"117\" data-end=\"146\">\u00a0\u0935\u0930\u094d\u0917 (Square) \u0915\u093e \u092e\u0924\u0932\u092c:<\/strong><\/h3>\n<p data-start=\"149\" data-end=\"263\">\u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0909\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092e\u093e\u0928 \u0909\u0938\u0915\u093e \u0935\u0930\u094d\u0917 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964<br data-start=\"223\" data-end=\"226\" \/><strong data-start=\"226\" data-end=\"237\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> <span class=\"katex\"><span class=\"katex-mathml\">72=7\u00d77=497^2 = 7 \\times 7 = 49<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">7<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">49<\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"270\" data-end=\"311\"><strong data-start=\"276\" data-end=\"309\">\u0935\u0930\u094d\u0917 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0906\u0938\u093e\u0928 \u091f\u094d\u0930\u093f\u0915\u094d\u0938:<\/strong><\/h3>\n<h3 data-start=\"313\" data-end=\"362\"><strong data-start=\"317\" data-end=\"360\">1. \u0905\u0902\u0924 \u092e\u0947\u0902 5 \u0906\u0928\u0947 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0935\u0930\u094d\u0917:<\/strong><\/h3>\n<p data-start=\"363\" data-end=\"400\">\u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e 5 \u092a\u0930 \u0938\u092e\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0924\u094b:<\/p>\n<ul data-start=\"401\" data-end=\"491\">\n<li data-start=\"401\" data-end=\"446\">\u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u092a\u0939\u0932\u093e \u092d\u093e\u0917 \u0932\u0947\u0902 \u0914\u0930 \u0909\u0938\u092e\u0947\u0902 1 \u091c\u094b\u0921\u093c\u0947\u0902\u0964<\/li>\n<li data-start=\"447\" data-end=\"491\">\u0926\u094b\u0928\u094b\u0902 \u0915\u093e \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902 \u0914\u0930 \u0905\u0902\u0924 \u092e\u0947\u0902 25 \u091c\u094b\u0921\u093c\u0947\u0902\u0964<\/li>\n<\/ul>\n<p data-start=\"493\" data-end=\"587\"><strong data-start=\"493\" data-end=\"504\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"504\" data-end=\"507\" \/><span class=\"katex\"><span class=\"katex-mathml\">25225^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord\">5<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = <span class=\"katex\"><span class=\"katex-mathml\">2\u00d732 \\times 3<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><\/span><\/span><\/span> \u0914\u0930 25 = 625<br data-start=\"544\" data-end=\"547\" \/><span class=\"katex\"><span class=\"katex-mathml\">75275^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mord\">5<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = <span class=\"katex\"><span class=\"katex-mathml\">7\u00d787 \\times 8<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">8<\/span><\/span><\/span><\/span> \u0914\u0930 25 = 5625<\/p>\n<h3 data-start=\"594\" data-end=\"642\"><strong data-start=\"598\" data-end=\"640\">2. \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0935\u0930\u094d\u0917 \u091c\u093f\u0938\u0915\u093e \u0905\u0902\u0924 0 \u0939\u094b:<\/strong><\/h3>\n<p data-start=\"643\" data-end=\"700\">\u0905\u0902\u0924\u093f\u092e 0 \u0915\u094b \u0939\u091f\u093e \u0915\u0930 \u0935\u0930\u094d\u0917 \u0928\u093f\u0915\u093e\u0932\u0947\u0902 \u0914\u0930 \u0909\u0938\u0915\u0947 \u092c\u093e\u0926 \u0926\u094b 0 \u091c\u094b\u0921\u093c\u0947\u0902\u0964<\/p>\n<p data-start=\"702\" data-end=\"793\"><strong data-start=\"702\" data-end=\"713\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"713\" data-end=\"716\" \/><span class=\"katex\"><span class=\"katex-mathml\">40240^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">4<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = <span class=\"katex\"><span class=\"katex-mathml\">42=164^2 = 16<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">4<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">16<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">16001600<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1600<\/span><\/span><\/span><\/span><br data-start=\"752\" data-end=\"755\" \/><span class=\"katex\"><span class=\"katex-mathml\">70270^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = <span class=\"katex\"><span class=\"katex-mathml\">72=497^2 = 49<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">7<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">49<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">49004900<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">4900<\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"800\" data-end=\"857\"><strong data-start=\"804\" data-end=\"855\">3. \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0935\u0930\u094d\u0917 &#8211; (Near Base Method):<\/strong><\/h3>\n<p data-start=\"858\" data-end=\"921\">\u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e 100 \u0915\u0947 \u092a\u093e\u0938 \u0939\u0948:<br data-start=\"883\" data-end=\"886\" \/><span class=\"katex\"><span class=\"katex-mathml\">(x\u00b1a)2=x2\u00b12ax+a2(x \\pm a)^2 = x^2 \\pm 2ax + a^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u00b1<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00b1<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"923\" data-end=\"1025\"><strong data-start=\"923\" data-end=\"934\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"934\" data-end=\"937\" \/><span class=\"katex\"><span class=\"katex-mathml\">98298^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">9<\/span><span class=\"mord\">8<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = <span class=\"katex\"><span class=\"katex-mathml\">(100\u22122)2(100 &#8211; 2)^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">100<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"963\" data-end=\"966\" \/>= <span class=\"katex\"><span class=\"katex-mathml\">1002\u22122(100)+22100^2 &#8211; 2(100) + 2^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">10<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">100<\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"992\" data-end=\"995\" \/>= 10000 &#8211; 200 + 4 = <strong data-start=\"1015\" data-end=\"1023\">9604<\/strong><\/p>\n<h3 data-start=\"1032\" data-end=\"1089\"><strong data-start=\"1036\" data-end=\"1087\">4. \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0935\u0930\u094d\u0917 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u093e \u091f\u094d\u0930\u093f\u0915:<\/strong><\/h3>\n<p data-start=\"1090\" data-end=\"1193\">\u092f\u0926\u093f \u0906\u092a\u0915\u094b <span class=\"katex\"><span class=\"katex-mathml\">51251^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mord\">1<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u0928\u093f\u0915\u093e\u0932\u0928\u093e \u0939\u0948:<br data-start=\"1119\" data-end=\"1122\" \/><span class=\"katex\"><span class=\"katex-mathml\">502=250050^2 = 2500<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2500<\/span><\/span><\/span><\/span><br data-start=\"1137\" data-end=\"1140\" \/><span class=\"katex\"><span class=\"katex-mathml\">50+51=10150 + 51 = 101<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">50<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">51<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">101<\/span><\/span><\/span><\/span><br data-start=\"1157\" data-end=\"1160\" \/>\u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">512=2500+101=260151^2 = 2500 + 101 = 2601<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mord\">1<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2500<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">101<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2601<\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"1200\" data-end=\"1252\"><strong data-start=\"1204\" data-end=\"1250\">5. \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0935\u0930\u094d\u0917 \u0915\u093e \u0924\u094d\u0935\u0930\u093f\u0924 \u091f\u094d\u0930\u093f\u0915:<\/strong><\/h3>\n<p data-start=\"1253\" data-end=\"1292\"><span class=\"katex\"><span class=\"katex-mathml\">x2=(a+b)2=a2+2ab+b2x^2 = (a + b)^2 = a^2 + 2ab + b^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">ab<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p data-start=\"1294\" data-end=\"1386\"><strong data-start=\"1294\" data-end=\"1305\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"1305\" data-end=\"1308\" \/><span class=\"katex\"><span class=\"katex-mathml\">13213^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">3<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"1316\" data-end=\"1319\" \/><span class=\"katex\"><span class=\"katex-mathml\">=(10+3)2=102+2(10)(3)+32= (10 + 3)^2 = 10^2 + 2(10)(3) + 3^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">10<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">10<\/span><span class=\"mclose\">)<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">3<\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">3<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"1359\" data-end=\"1362\" \/><span class=\"katex\"><span class=\"katex-mathml\">=100+60+9=169= 100 + 60 + 9 = 169<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">60<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">9<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">169<\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"1393\" data-end=\"1421\"><strong data-start=\"1397\" data-end=\"1419\">\u00a0\u092a\u094d\u0930\u0948\u0915\u094d\u091f\u093f\u0938 \u0938\u0935\u093e\u0932:<\/strong><\/h3>\n<ol data-start=\"1422\" data-end=\"1511\">\n<li data-start=\"1422\" data-end=\"1439\"><span class=\"katex\"><span class=\"katex-mathml\">45245^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">4<\/span><span class=\"mord\">5<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = ?<\/li>\n<li data-start=\"1440\" data-end=\"1457\"><span class=\"katex\"><span class=\"katex-mathml\">72272^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = ?<\/li>\n<li data-start=\"1458\" data-end=\"1475\"><span class=\"katex\"><span class=\"katex-mathml\">99299^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">9<\/span><span class=\"mord\">9<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = ?<\/li>\n<li data-start=\"1476\" data-end=\"1493\"><span class=\"katex\"><span class=\"katex-mathml\">55255^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mord\">5<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = ?<\/li>\n<li data-start=\"1494\" data-end=\"1511\"><span class=\"katex\"><span class=\"katex-mathml\">35235^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord\">5<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> = ?<\/li>\n<\/ol>\n<p data-start=\"1518\" data-end=\"1589\" data-is-last-node=\"\" data-is-only-node=\"\">\u0905\u0917\u0930 \u0906\u092a\u0915\u094b \u0915\u093f\u0938\u0940 \u0914\u0930 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u092e\u0926\u0926 \u091a\u093e\u0939\u093f\u090f \u092f\u093e \u0914\u0930 \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u091a\u093e\u0939\u093f\u090f, \u0924\u094b \u092c\u0924\u093e\u090f\u0902!<\/p>\n<h3 data-start=\"1518\" data-end=\"1589\"><a href=\"https:\/\/www.jaipuria.ac.in\/blog\/wp-content\/uploads\/2023\/07\/Quant-Short-Tricks-PDF.pdf\" target=\"_blank\" rel=\"noopener\">SQUARE OF NUMBER tricks for Railway Gate Banking Interview.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\">1.1 Number System.pmd<\/h3>\n<p data-start=\"0\" data-end=\"232\">Absolutely! Here are <strong data-start=\"21\" data-end=\"49\">super-fast square tricks<\/strong> useful for <strong data-start=\"61\" data-end=\"124\">Railway, GATE, Banking exams, SSC, and placement interviews<\/strong>. These tricks help you calculate squares quickly <strong data-start=\"174\" data-end=\"198\">without a calculator<\/strong> \u2014 very handy in time-bound exams.<\/p>\n<hr data-start=\"234\" data-end=\"237\" \/>\n<h2 data-start=\"239\" data-end=\"303\">\ud83e\udde0 <strong data-start=\"245\" data-end=\"303\">Maths Tricks: Square of Number (Fast Tricks for Exams)<\/strong><\/h2>\n<hr data-start=\"305\" data-end=\"308\" \/>\n<h3 data-start=\"310\" data-end=\"361\">\u2705 <strong data-start=\"316\" data-end=\"361\">Trick #1: Square of Numbers Ending with 5<\/strong><\/h3>\n<p data-start=\"363\" data-end=\"371\">Formula:<\/p>\n<blockquote data-start=\"372\" data-end=\"412\">\n<p data-start=\"374\" data-end=\"412\">(x5)\u00b2 = x \u00d7 (x + 1) followed by <strong data-start=\"406\" data-end=\"412\">25<\/strong><\/p>\n<\/blockquote>\n<h4 data-start=\"414\" data-end=\"427\">Example:<\/h4>\n<ul data-start=\"428\" data-end=\"519\">\n<li data-start=\"428\" data-end=\"482\">\n<p data-start=\"430\" data-end=\"482\">25\u00b2 \u2192 x = 2 \u2192 2\u00d73 = <strong data-start=\"450\" data-end=\"455\">6<\/strong>, then add <strong data-start=\"466\" data-end=\"472\">25<\/strong> \u2192 <strong data-start=\"475\" data-end=\"482\">625<\/strong><\/p>\n<\/li>\n<li data-start=\"483\" data-end=\"519\">\n<p data-start=\"485\" data-end=\"519\">65\u00b2 \u2192 6\u00d77 = 42 \u2192 answer = <strong data-start=\"511\" data-end=\"519\">4225<\/strong><\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"521\" data-end=\"524\" \/>\n<h3 data-start=\"526\" data-end=\"598\">\u2705 <strong data-start=\"532\" data-end=\"598\">Trick #2: Square of Numbers Close to Base (Like 100, 50, etc.)<\/strong><\/h3>\n<h4 data-start=\"600\" data-end=\"631\">\ud83d\udccd <em data-start=\"608\" data-end=\"631\">For numbers near 100:<\/em><\/h4>\n<blockquote data-start=\"633\" data-end=\"667\">\n<p data-start=\"635\" data-end=\"667\">(100 + x)\u00b2 = 100\u00b2 + 2\u00d7100\u00d7x + x\u00b2<\/p>\n<\/blockquote>\n<h4 data-start=\"669\" data-end=\"682\">Example:<\/h4>\n<ul data-start=\"683\" data-end=\"745\">\n<li data-start=\"683\" data-end=\"745\">\n<p data-start=\"685\" data-end=\"745\">103\u00b2 = 100\u00b2 + 2\u00d7100\u00d73 + 3\u00b2<br data-start=\"711\" data-end=\"714\" \/>= 10000 + 600 + 9 = \u2705 <strong data-start=\"736\" data-end=\"745\">10609<\/strong><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"747\" data-end=\"783\">\ud83d\udccd <em data-start=\"755\" data-end=\"783\">For numbers less than 100:<\/em><\/h4>\n<blockquote data-start=\"785\" data-end=\"820\">\n<p data-start=\"787\" data-end=\"820\">(100 &#8211; x)\u00b2 = 10000 &#8211; 2\u00d7100\u00d7x + x\u00b2<\/p>\n<\/blockquote>\n<ul data-start=\"822\" data-end=\"858\">\n<li data-start=\"822\" data-end=\"858\">\n<p data-start=\"824\" data-end=\"858\">97\u00b2 = 10000 &#8211; 600 + 9 = \u2705 <strong data-start=\"850\" data-end=\"858\">9409<\/strong><\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"860\" data-end=\"863\" \/>\n<h3 data-start=\"865\" data-end=\"935\">\u2705 <strong data-start=\"871\" data-end=\"935\">Trick #3: Square of Any 2-Digit Number (Using a + b Formula)<\/strong><\/h3>\n<p data-start=\"937\" data-end=\"952\">Use identity:<\/p>\n<blockquote data-start=\"953\" data-end=\"979\">\n<p data-start=\"955\" data-end=\"979\">(a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/p>\n<\/blockquote>\n<p data-start=\"981\" data-end=\"1010\">Split number like 42 \u2192 40 + 2<\/p>\n<ul data-start=\"1012\" data-end=\"1098\">\n<li data-start=\"1012\" data-end=\"1026\">\n<p data-start=\"1014\" data-end=\"1026\">40\u00b2 = 1600<\/p>\n<\/li>\n<li data-start=\"1027\" data-end=\"1049\">\n<p data-start=\"1029\" data-end=\"1049\">2ab = 2\u00d740\u00d72 = 160<\/p>\n<\/li>\n<li data-start=\"1050\" data-end=\"1060\">\n<p data-start=\"1052\" data-end=\"1060\">2\u00b2 = 4<\/p>\n<\/li>\n<li data-start=\"1061\" data-end=\"1098\">\n<p data-start=\"1063\" data-end=\"1098\">Total = 1600 + 160 + 4 = \u2705 <strong data-start=\"1090\" data-end=\"1098\">1764<\/strong><\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1100\" data-end=\"1103\" \/>\n<h3 data-start=\"1105\" data-end=\"1187\">\u2705 <strong data-start=\"1111\" data-end=\"1187\">Trick #4: Vedic Math Shortcut (Vertical &amp; Crosswise for 2-Digit Numbers)<\/strong><\/h3>\n<p data-start=\"1189\" data-end=\"1205\">Let\u2019s square 31:<\/p>\n<ol data-start=\"1207\" data-end=\"1310\">\n<li data-start=\"1207\" data-end=\"1237\">\n<p data-start=\"1210\" data-end=\"1237\">Square last digit: 1\u00b2 = 1<\/p>\n<\/li>\n<li data-start=\"1238\" data-end=\"1280\">\n<p data-start=\"1241\" data-end=\"1280\">Multiply digits and double: 3\u00d71\u00d72 = 6<\/p>\n<\/li>\n<li data-start=\"1281\" data-end=\"1310\">\n<p data-start=\"1284\" data-end=\"1310\">Square first digit: 3\u00b2 = 9<\/p>\n<\/li>\n<\/ol>\n<p data-start=\"1312\" data-end=\"1350\">Now arrange:<br data-start=\"1324\" data-end=\"1327\" \/>\u2192 9 | 6 | 1 = \u2705 <strong data-start=\"1343\" data-end=\"1350\">961<\/strong><\/p>\n<hr data-start=\"1352\" data-end=\"1355\" \/>\n<h3 data-start=\"1357\" data-end=\"1408\">\u2705 <strong data-start=\"1363\" data-end=\"1408\">Trick #5: Square of Numbers Between 50\u201360<\/strong><\/h3>\n<p data-start=\"1410\" data-end=\"1418\">Formula:<\/p>\n<blockquote data-start=\"1419\" data-end=\"1450\">\n<p data-start=\"1421\" data-end=\"1450\">(50 + x)\u00b2 = 2500 + 100\u00d7x + x\u00b2<\/p>\n<\/blockquote>\n<h4 data-start=\"1452\" data-end=\"1471\">Example: 54\u00b2<\/h4>\n<p data-start=\"1472\" data-end=\"1502\">= 2500 + 400 + 16 = \u2705 <strong data-start=\"1494\" data-end=\"1502\">2916<\/strong><\/p>\n<hr data-start=\"1504\" data-end=\"1507\" \/>\n<h2 data-start=\"1509\" data-end=\"1534\">\ud83e\uddea <strong data-start=\"1515\" data-end=\"1534\">Quick Practice:<\/strong><\/h2>\n<ol data-start=\"1536\" data-end=\"1586\">\n<li data-start=\"1536\" data-end=\"1548\">\n<p data-start=\"1539\" data-end=\"1548\">35\u00b2 = ?<\/p>\n<\/li>\n<li data-start=\"1549\" data-end=\"1561\">\n<p data-start=\"1552\" data-end=\"1561\">48\u00b2 = ?<\/p>\n<\/li>\n<li data-start=\"1562\" data-end=\"1575\">\n<p data-start=\"1565\" data-end=\"1575\">104\u00b2 = ?<\/p>\n<\/li>\n<li data-start=\"1576\" data-end=\"1586\">\n<p data-start=\"1579\" data-end=\"1586\">95\u00b2 = ?<\/p>\n<\/li>\n<\/ol>\n<hr data-start=\"1588\" data-end=\"1591\" \/>\n<h2 data-start=\"1593\" data-end=\"1636\">\ud83e\uddf0 <strong data-start=\"1599\" data-end=\"1636\">Bonus Tip for Interviews &amp; Exams:<\/strong><\/h2>\n<ul data-start=\"1638\" data-end=\"1806\">\n<li data-start=\"1638\" data-end=\"1704\">\n<p data-start=\"1640\" data-end=\"1704\">Mention you use <strong data-start=\"1656\" data-end=\"1678\">mental math tricks<\/strong> to save time in aptitude.<\/p>\n<\/li>\n<li data-start=\"1705\" data-end=\"1806\">\n<p data-start=\"1707\" data-end=\"1806\">Quick squares = faster problem-solving in <strong data-start=\"1749\" data-end=\"1763\">percentage<\/strong>, <strong data-start=\"1765\" data-end=\"1774\">CI\/SI<\/strong>, <strong data-start=\"1776\" data-end=\"1782\">DI<\/strong>, and <strong data-start=\"1788\" data-end=\"1805\">number series<\/strong>.<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1808\" data-end=\"1811\" \/>\n<h2 data-start=\"1813\" data-end=\"1840\">\ud83d\udce9 Want These Tricks as:<\/h2>\n<ul data-start=\"1842\" data-end=\"1921\">\n<li data-start=\"1842\" data-end=\"1873\">\n<p data-start=\"1844\" data-end=\"1873\">\ud83d\udcc4 PDF Notes (Hindi\/English)?<\/p>\n<\/li>\n<li data-start=\"1874\" data-end=\"1897\">\n<p data-start=\"1876\" data-end=\"1897\">\ud83e\udde0 Practice Quiz Set?<\/p>\n<\/li>\n<li data-start=\"1898\" data-end=\"1921\">\n<p data-start=\"1900\" data-end=\"1921\">\ud83c\udfa5 Video Explanation?<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1923\" data-end=\"1940\" data-is-last-node=\"\" data-is-only-node=\"\">Just let me know!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>SQUARE OF NUMBER tricks for Railway Gate Banking Interview. [fvplayer id=&#8221;653&#8243;] \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u0935\u0930\u094d\u0917 (Square) \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938 &#8211; \u0930\u0947\u0932\u0935\u0947, GATE \u0914\u0930 \u092c\u0948\u0902\u0915\u093f\u0902\u0917 \u0907\u0902\u091f\u0930\u0935\u094d\u092f\u0942 \u0915\u0947 \u0932\u093f\u090f \u00a0\u0935\u0930\u094d\u0917 (Square) \u0915\u093e \u092e\u0924\u0932\u092c: \u0915\u093f\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0909\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092e\u093e\u0928 \u0909\u0938\u0915\u093e \u0935\u0930\u094d\u0917 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964\u0909\u0926\u093e\u0939\u0930\u0923: 72=7\u00d77=497^2 = 7 \\times 7 = 4972=7\u00d77=49 \u0935\u0930\u094d\u0917 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 [&hellip;]<\/p>\n","protected":false},"author":64,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[83],"tags":[],"class_list":["post-4197","post","type-post","status-publish","format-standard","hentry","category-mathematics-short-tricks"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4197","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\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=4197"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4197\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=4197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=4197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=4197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}