{"id":4242,"date":"2025-06-06T06:06:53","date_gmt":"2025-06-06T06:06:53","guid":{"rendered":"https:\/\/diznr.com\/?p=4242"},"modified":"2025-06-06T06:06:53","modified_gmt":"2025-06-06T06:06:53","slug":"mathematics-short-tricks-clock-reasoning-tricks-hindi-in","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/mathematics-short-tricks-clock-reasoning-tricks-hindi-in\/","title":{"rendered":"Mathematics Short Tricks\/ Clock Reasoning Tricks In Hindi."},"content":{"rendered":"

Mathematics Short Tricks\/ Clock Reasoning Tricks In Hindi.<\/p>\n

[fvplayer id=”675″]<\/p>\n

\u00a0\u0917\u0923\u093f\u0924\u0940\u092f \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u2013 \u0915\u094d\u0932\u0949\u0915 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u091f\u094d\u0930\u093f\u0915\u094d\u0938 (Clock Reasoning Tricks in Hindi)<\/strong><\/h3>\n

\u0918\u0921\u093c\u0940 \u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e\u0913\u0902<\/strong> (SSC, UPSC, Railway, Banking, \u0906\u0926\u093f) \u092e\u0947\u0902 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939\u093e\u0902 \u0915\u0941\u091b \u0906\u0938\u093e\u0928 \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938<\/strong> \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u091c\u093f\u0928\u0938\u0947 \u0906\u092a \u0938\u092e\u092f \u092c\u091a\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n

\u00a01. \u0915\u094b\u0923 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 (Angle Between Hour & Minute Hand)<\/strong><\/h3>\n

\u00a0\u0938\u0942\u0924\u094d\u0930:<\/strong><\/h3>\n

\u03b8=\u2223(30H\u221211M2)\u2223\\theta = \\left| \\left( 30H – \\frac{11M}{2} \\right) \\right|<\/span>\u03b8<\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>30<\/span>H<\/span>\u2212<\/span>211M<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u091c\u0939\u093e\u0902,<\/p>\n

    \n
  • HH<\/span>H<\/span><\/span><\/span><\/span> = \u0918\u0902\u091f\u093e (Hour)<\/li>\n
  • MM<\/span>M<\/span><\/span><\/span><\/span> = \u092e\u093f\u0928\u091f (Minute)<\/li>\n<\/ul>\n

    \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> 3:15 \u092c\u091c\u0947 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0923 \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0964<\/p>\n

    \u03b8=\u2223(30\u00d73\u221211\u00d7152)\u2223\\theta = \\left| \\left( 30 \\times 3 – \\frac{11 \\times 15}{2} \\right) \\right|<\/span>\u03b8<\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>30<\/span>\u00d7<\/span>3<\/span>\u2212<\/span>211\u00d7<\/span>15<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> =\u2223(90\u221282.5)\u2223=7.5\u2218= \\left| \\left( 90 – 82.5 \\right) \\right| = 7.5^\\circ<\/span>=<\/span><\/span>\u2223<\/span>(<\/span>90<\/span>\u2212<\/span>82.5<\/span>)<\/span>\u2223<\/span><\/span>=<\/span><\/span>7.<\/span>5\u2218<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u0909\u0924\u094d\u0924\u0930: 7.5\u00b0<\/em><\/p>\n

    \u00a02. \u0938\u092e\u0915\u094b\u0923 (90\u00b0) \u0914\u0930 \u0930\u0947\u0916\u0940\u092f \u0915\u094b\u0923 (180\u00b0) \u092c\u0928\u0928\u0947 \u0915\u0947 \u0938\u092e\u092f<\/strong><\/h3>\n

    90\u00b0 \u0915\u094b\u0923 \u092c\u0928\u0928\u0947 \u0915\u0947 \u0938\u092e\u092f:<\/strong><\/p>\n

    H\u00d75.5\u00b115H \\times 5.5 \\pm 15<\/span>H<\/span>\u00d7<\/span><\/span>5.5<\/span>\u00b1<\/span><\/span>15<\/span><\/span><\/span><\/span><\/span><\/p>\n

    180\u00b0 (\u0930\u0947\u0915\u094d\u091f\u0940\u0932\u0940\u0928\u093f\u092f\u0930) \u0915\u094b\u0923 \u092c\u0928\u0928\u0947 \u0915\u093e \u0938\u092e\u092f:<\/strong><\/p>\n

    H\u00d75.5\u00b130H \\times 5.5 \\pm 30<\/span>H<\/span>\u00d7<\/span><\/span>5.5<\/span>\u00b1<\/span><\/span>30<\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> 4 \u092c\u091c\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 90\u00b0 \u0915\u094b\u0923 \u0915\u092c \u092c\u0928\u0947\u0917\u093e?<\/p>\n

    4\u00d75.5\u00b115=22\u00b1154 \\times 5.5 \\pm 15 = 22 \\pm 15<\/span>4<\/span>\u00d7<\/span><\/span>5.5<\/span>\u00b1<\/span><\/span>15<\/span>=<\/span><\/span>22<\/span>\u00b1<\/span><\/span>15<\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u00a0\u0909\u0924\u094d\u0924\u0930: 22nd \u0914\u0930 52nd \u092e\u093f\u0928\u091f \u092a\u0930<\/p>\n

    \u00a03. \u092e\u093f\u0928\u091f \u0939\u0948\u0902\u0921 \u0914\u0930 \u0911\u0935\u0930 \u0939\u0948\u0902\u0921 \u0915\u092c \u090f\u0915 \u0938\u093e\u0925 \u0939\u094b\u0902\u0917\u0947?<\/strong><\/h3>\n

    \u0938\u0942\u0924\u094d\u0930:<\/strong><\/p>\n

    H\u00d75.5H \\times 5.5<\/span>H<\/span>\u00d7<\/span><\/span>5.5<\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> 3 \u092c\u091c\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092e\u093f\u0928\u091f \u0914\u0930 \u0918\u0902\u091f\u0947 \u0915\u0940 \u0938\u0941\u0908 \u0915\u092c \u092e\u093f\u0932\u0947\u0917\u0940?<\/p>\n

    3\u00d75.5=16.36\u00a0\u092e\u093f\u0928\u091f3 \\times 5.5 = 16.36 \\text{ \u092e\u093f\u0928\u091f}<\/span>3<\/span>\u00d7<\/span><\/span>5.5<\/span>=<\/span><\/span>16.36<\/span>\u00a0<\/span>\u092e\u093f\u0928\u091f<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u00a0\u0909\u0924\u094d\u0924\u0930: 3:16.36 \u092a\u0930 \u0926\u094b\u0928\u094b\u0902 \u0938\u0941\u0908 \u092e\u093f\u0932\u0947\u0902\u0917\u0940\u0964<\/em><\/p>\n

    \u00a04. \u0918\u091f\u094b\u0902 \u0914\u0930 \u092e\u093f\u0928\u091f\u094b\u0902 \u0915\u0940 \u0938\u0941\u0908 \u092e\u0947\u0902 x\u00b0 \u0915\u094b\u0923 \u0915\u092c \u092c\u0928\u0947\u0917\u093e?<\/strong><\/h3>\n

    \u0938\u0942\u0924\u094d\u0930:<\/strong><\/p>\n

    x\u00d7211\\frac{x \\times 2}{11}<\/span>11x<\/span>\u00d7<\/span>2<\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> 30\u00b0 \u0915\u094b\u0923 \u092c\u0928\u0928\u0947 \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u093e \u0938\u092e\u092f \u0932\u0917\u0947\u0917\u093e?<\/p>\n

    30\u00d7211=6011=5.45\u092e\u093f\u0928\u091f\\frac{30 \\times 2}{11} = \\frac{60}{11} = 5.45 \u092e\u093f\u0928\u091f<\/span>1130\u00d7<\/span>2<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1160<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>5.45<\/span>\u092e\u093f\u0928\u091f<\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u00a0\u0909\u0924\u094d\u0924\u0930: 5.45 \u092e\u093f\u0928\u091f \u092c\u093e\u0926 30\u00b0 \u0915\u094b\u0923 \u092c\u0928\u0947\u0917\u093e\u0964<\/em><\/p>\n

    \u00a05. \u092e\u093f\u0928\u091f \u0915\u0940 \u0938\u0941\u0908 \u0914\u0930 \u0918\u0902\u091f\u0947 \u0915\u0940 \u0938\u0941\u0908 \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0915\u094b\u0923 \u0915\u092c \u092c\u0928\u0947\u0902\u0917\u0947?<\/strong><\/h3>\n

    \u0938\u0942\u0924\u094d\u0930:<\/strong><\/p>\n

    H\u00d76011\\frac{H \\times 60}{11}<\/span>11H<\/span>\u00d7<\/span>60<\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong> 6 \u092c\u091c\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092e\u093f\u0928\u091f \u0914\u0930 \u0918\u0902\u091f\u0947 \u0915\u0940 \u0938\u0941\u0908 \u092b\u093f\u0930 \u0938\u0947 \u0915\u092c \u0938\u092e\u093e\u0928 \u0915\u094b\u0923 \u092c\u0928\u093e\u090f\u0902\u0917\u0940?<\/p>\n

    6\u00d76011=32.72\u00a0\u092e\u093f\u0928\u091f\\frac{6 \\times 60}{11} = 32.72 \\text{ \u092e\u093f\u0928\u091f}<\/span>116\u00d7<\/span>60<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>32.72<\/span>\u00a0<\/span>\u092e\u093f\u0928\u091f<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u00a0\u0909\u0924\u094d\u0924\u0930: 6:32.72 \u092a\u0930 \u0926\u094b\u0928\u094b\u0902 \u0938\u092e\u093e\u0928 \u0915\u094b\u0923 \u092c\u0928\u093e\u090f\u0902\u0917\u0940\u0964<\/em><\/p>\n

    \u00a0\u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0915\u0947 \u0932\u093f\u090f \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u091f\u094d\u0930\u093f\u0915\u094d\u0938<\/strong><\/h3>\n

    \u0939\u0930 \u0918\u0902\u091f\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0938\u0941\u0908 \u0915\u093e \u0915\u094b\u0923 30\u00b0 \u092c\u0922\u093c\u0924\u093e \u0939\u0948\u0964<\/strong>
    \u0939\u0930 \u092e\u093f\u0928\u091f \u0938\u0941\u0908 6\u00b0 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964<\/strong>
    \u0939\u0930 \u0938\u0947\u0915\u0902\u0921 \u0938\u0941\u0908 6\u00b0 \u0918\u0942\u092e\u0924\u0940 \u0939\u0948\u0964<\/strong>
    \u0918\u0902\u091f\u0947 \u0914\u0930 \u092e\u093f\u0928\u091f \u0915\u0940 \u0938\u0941\u0908 \u090f\u0915 \u0938\u093e\u0925 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0938\u092e\u092f \u0915\u093e \u0905\u0902\u0924\u0930 \u0939\u092e\u0947\u0936\u093e 65.45 \u092e\u093f\u0928\u091f \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n

    \u0907\u0928 \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0915\u094b \u092f\u093e\u0926 \u0930\u0916\u0915\u0930 \u0906\u092a \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0924\u0947\u091c\u0940 \u0938\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902!<\/strong><\/p>\n

    \u00a0\u0915\u094d\u092f\u093e \u0906\u092a \u0914\u0930 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u091f\u094d\u0930\u093f\u0915\u094d\u0938<\/strong> (\u0915\u0948\u0932\u0947\u0902\u0921\u0930, \u0921\u093e\u0907\u0938, \u0935\u0947\u0928 \u0921\u093e\u092f\u0917\u094d\u0930\u093e\u092e \u0906\u0926\u093f) \u0938\u0940\u0916\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902?<\/p>\n

    \u0918\u0921\u093c\u0940 (Clock) \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u092a\u094d\u0930\u0936\u094d\u0928 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e\u0913\u0902 \u092e\u0947\u0902 \u0905\u0915\u094d\u0938\u0930 \u092a\u0942\u091b\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/span> \u0907\u0928 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u094b \u0924\u0947\u091c\u0940 \u0938\u0947 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u0941\u091b \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0914\u0930 \u0938\u0942\u0924\u094d\u0930\u094b\u0902 \u0915\u093e \u091c\u094d\u091e\u093e\u0928 \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948\u0964<\/span> \u0928\u0940\u091a\u0947 \u0915\u0941\u091b \u092a\u094d\u0930\u092e\u0941\u0916 \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0914\u0930 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902:<\/p>\n

    \n

    \ud83d\udd52 \u0918\u0921\u093c\u0940 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u091f\u094d\u0930\u093f\u0915\u094d\u0938<\/h2>\n

    1. \u0918\u0902\u091f\u0947 \u0914\u0930 \u092e\u093f\u0928\u091f \u0915\u0940 \u0938\u0941\u0908 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0923 \u0928\u093f\u0915\u093e\u0932\u0928\u093e<\/strong><\/h3>\n

    \u0938\u0942\u0924\u094d\u0930:<\/strong><\/p>\n

    \u0915\u094b\u0923=\u2223(30\u00d7\u0918\u0902\u091f\u0947)\u2212(112\u00d7\u092e\u093f\u0928\u091f)\u2223\\text{\u0915\u094b\u0923} = \\left| \\left(30 \\times \\text{\u0918\u0902\u091f\u0947} \\right) – \\left( \\frac{11}{2} \\times \\text{\u092e\u093f\u0928\u091f} \\right) \\right|<\/span>\u0915\u094b\u0923<\/span><\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>30<\/span>\u00d7<\/span>\u0918\u0902\u091f\u0947<\/span><\/span>)<\/span>\u2212<\/span>(<\/span><\/span>211<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u00d7<\/span>\u092e\u093f\u0928\u091f<\/span><\/span>)<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n

    \u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> 3:15 \u092a\u0930 \u0918\u0902\u091f\u0947 \u0914\u0930 \u092e\u093f\u0928\u091f \u0915\u0940 \u0938\u0941\u0908 \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?<\/span><\/p>\n

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

    \u0915\u094b\u0923=\u2223(30\u00d73)\u2212(112\u00d715)\u2223=\u222390\u221282.5\u2223=7.5\u2218\\text{\u0915\u094b\u0923} = \\left| (30 \\times 3) – \\left( \\frac{11}{2} \\times 15 \\right) \\right| = \\left| 90 – 82.5 \\right| = 7.5^\\circ<\/span>\u0915\u094b\u0923<\/span><\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>30<\/span>\u00d7<\/span>3<\/span>)<\/span>\u2212<\/span>(<\/span><\/span>211<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u00d7<\/span>15<\/span>)<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>\u2223<\/span>90<\/span>\u2212<\/span>82.5<\/span>\u2223<\/span><\/span>=<\/span><\/span>7.<\/span>5\u2218<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \n

    2. \u0938\u0941\u0907\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u093f\u0924\u0928\u0940 \u092c\u093e\u0930 \u0915\u094b\u0923 \u092c\u0928\u0924\u093e \u0939\u0948<\/strong><\/h3>\n
      \n
    • \n

      180\u00b0 \u0915\u093e \u0915\u094b\u0923:<\/strong> 12 \u0918\u0902\u091f\u0947 \u092e\u0947\u0902 11 \u092c\u093e\u0930 \u092c\u0928\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n

    • \n

      90\u00b0 \u0915\u093e \u0915\u094b\u0923:<\/strong> 12 \u0918\u0902\u091f\u0947 \u092e\u0947\u0902 22 \u092c\u093e\u0930 \u092c\u0928\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n

      \n

      3. \u0938\u0941\u0907\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092e\u093f\u0932\u0928\u0947 (Coincidence) \u0915\u093e \u0938\u092e\u092f<\/strong><\/h3>\n

      \u0938\u0942\u0924\u094d\u0930:<\/strong><\/p>\n

      \u092e\u093f\u0928\u091f=60\u00d7\u0918\u0902\u091f\u094711\\text{\u092e\u093f\u0928\u091f} = \\frac{60 \\times \\text{\u0918\u0902\u091f\u0947}}{11}<\/span>\u092e\u093f\u0928\u091f<\/span><\/span>=<\/span><\/span>1160\u00d7<\/span>\u0918\u0902\u091f\u0947<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n

      \u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> 4 \u092c\u091c\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0938\u0941\u0907\u092f\u093e\u0901 \u0915\u092c \u092e\u093f\u0932\u0947\u0902\u0917\u0940?<\/span><\/p>\n

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

      \u092e\u093f\u0928\u091f=60\u00d7411\u224821.82\u00a0\u092e\u093f\u0928\u091f\\text{\u092e\u093f\u0928\u091f} = \\frac{60 \\times 4}{11} \\approx 21.82 \\text{ \u092e\u093f\u0928\u091f}<\/span>\u092e\u093f\u0928\u091f<\/span><\/span>=<\/span><\/span>1160\u00d7<\/span>4<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span>21.82<\/span>\u00a0<\/span>\u092e\u093f\u0928\u091f<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u0905\u0924\u0903, \u0938\u0941\u0907\u092f\u093e\u0901 \u0932\u0917\u092d\u0917 4:21:49 \u092a\u0930 \u092e\u093f\u0932\u0947\u0902\u0917\u0940\u0964<\/span><\/p>\n

      \n

      4. \u0938\u0941\u0907\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a 90\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u0928\u0947 \u0915\u093e \u0938\u092e\u092f<\/strong><\/h3>\n

      \u0938\u0942\u0924\u094d\u0930:<\/strong><\/p>\n

      \u092e\u093f\u0928\u091f=\u222360\u00d7\u0918\u0902\u091f\u0947\u00b11511\u2223\\text{\u092e\u093f\u0928\u091f} = \\left| \\frac{60 \\times \\text{\u0918\u0902\u091f\u0947} \\pm 15}{11} \\right|<\/span>\u092e\u093f\u0928\u091f<\/span><\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>1160\u00d7<\/span>\u0918\u0902\u091f\u0947<\/span><\/span>\u00b1<\/span>15<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n

      \u092a\u094d\u0930\u0936\u094d\u0928:<\/strong> 3 \u092c\u091c\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0938\u0941\u0907\u092f\u093e\u0901 \u0915\u092c 90\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u090f\u0901\u0917\u0940?<\/span><\/p>\n

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

      \u092e\u093f\u0928\u091f=\u222360\u00d73\u00b11511\u2223=\u2223180\u00b11511\u2223=\u222319511,16511\u2223\u224817.73\u00a0\u092e\u093f\u0928\u091f,15\u00a0\u092e\u093f\u0928\u091f\\text{\u092e\u093f\u0928\u091f} = \\left| \\frac{60 \\times 3 \\pm 15}{11} \\right| = \\left| \\frac{180 \\pm 15}{11} \\right| = \\left| \\frac{195}{11}, \\frac{165}{11} \\right| \\approx 17.73 \\text{ \u092e\u093f\u0928\u091f}, 15 \\text{ \u092e\u093f\u0928\u091f}<\/span>\u092e\u093f\u0928\u091f<\/span><\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>1160\u00d7<\/span>3\u00b1<\/span>15<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>11180\u00b1<\/span>15<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>11195<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>,<\/span>11165<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span>17.73<\/span>\u00a0<\/span>\u092e\u093f\u0928\u091f<\/span><\/span>,<\/span>15<\/span>\u00a0<\/span>\u092e\u093f\u0928\u091f<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u0905\u0924\u0903, \u0938\u0941\u0907\u092f\u093e\u0901 \u0932\u0917\u092d\u0917 3:15 \u0914\u0930 3:17:44 \u092a\u0930 90\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u090f\u0901\u0917\u0940\u0964<\/span><\/p>\n

      \n

      \ud83c\udfa5 \u0935\u0940\u0921\u093f\u092f\u094b \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938<\/h2>\n

      \u0918\u0921\u093c\u0940 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u0915\u0940 \u0914\u0930 \u0905\u0927\u093f\u0915 \u0938\u092e\u091d \u0915\u0947 \u0932\u093f\u090f, \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u093f\u0902\u0926\u0940 \u0935\u0940\u0921\u093f\u092f\u094b \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938 \u0938\u0939\u093e\u092f\u0915 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/span><\/p>\n

        \n
      1. \n

        Imran Sir \u0926\u094d\u0935\u093e\u0930\u093e \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938:<\/strong> \u0907\u0938 \u0935\u0940\u0921\u093f\u092f\u094b \u092e\u0947\u0902 \u0918\u0921\u093c\u0940 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u0930\u0932 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u092c\u0924\u093e\u0908 \u0917\u0908 \u0939\u0948\u0902\u0964<\/span><\/p>\n<\/li>\n

      2. \n

        Sandeep Sir \u0915\u0940 \u0915\u094d\u0932\u093e\u0938:<\/strong> \u092f\u0939 \u0935\u0940\u0921\u093f\u092f\u094b \u0918\u0921\u093c\u0940 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u0939\u0932\u0941\u0913\u0902 \u0915\u094b \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0938\u0947 \u0938\u092e\u091d\u093e\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n

      3. \n

        Sahil Tiwari Sir \u0915\u093e \u0938\u0947\u0936\u0928:<\/strong> \u0907\u0938 \u0935\u0940\u0921\u093f\u092f\u094b \u092e\u0947\u0902 \u0918\u0921\u093c\u0940 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u0915\u0947 \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0915\u094b \u0938\u0930\u0932 \u092d\u093e\u0937\u093e \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ol>\n

        \n

        \u092f\u0926\u093f \u0906\u092a \u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092f\u093e \u0914\u0930 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0940 \u0924\u0932\u093e\u0936 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964 \u092e\u0948\u0902 \u0906\u092a\u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0947 \u0932\u093f\u090f \u0924\u0948\u092f\u093e\u0930 \u0939\u0942\u0901\u0964<\/p>\n","protected":false},"excerpt":{"rendered":"

        Mathematics Short Tricks\/ Clock Reasoning Tricks In Hindi. [fvplayer id=”675″] \u00a0\u0917\u0923\u093f\u0924\u0940\u092f \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u2013 \u0915\u094d\u0932\u0949\u0915 \u0930\u0940\u091c\u0928\u093f\u0902\u0917 \u091f\u094d\u0930\u093f\u0915\u094d\u0938 (Clock Reasoning Tricks in Hindi) \u0918\u0921\u093c\u0940 \u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e\u0913\u0902 (SSC, UPSC, Railway, Banking, \u0906\u0926\u093f) \u092e\u0947\u0902 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939\u093e\u0902 \u0915\u0941\u091b \u0906\u0938\u093e\u0928 \u0936\u0949\u0930\u094d\u091f \u091f\u094d\u0930\u093f\u0915\u094d\u0938 \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u091c\u093f\u0928\u0938\u0947 \u0906\u092a \u0938\u092e\u092f \u092c\u091a\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u00a01. \u0915\u094b\u0923 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u093e […]<\/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-4242","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\/4242","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=4242"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4242\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=4242"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=4242"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=4242"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}