Physics-
General
Easy
Question
A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F0 is
![](data:image/png;base64,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)
- None of these
The correct answer is: ![2 m u divided by T](data:image/png;base64,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)
In elastic one dimensional collision particle rebounds with same speed in opposite direction
i.e. change in momentum ![equals 2 m u](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAANCAYAAAAJzyawAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAASxJREFUeNpjYKAesAbiNUD8CYh/AfEFII5mGOLgIBBHAjEPlK8FxEehYsMKyAPxJYZhCH5gEasH4nIgFgfiSUD8EoifA7EXVF4QiPuA+B00OVdi0YvLTKzgPxGYWGAJTYLoYBXUEWegyZMFGqv3gVgSmpTDoeKy0IARR9IbgMPMAFrHEAcQn4QWIOjgFhDvhcYIMngKxLNxiEsi6ZXGYaY0LT0EctQGIHbDIscExN+AmItEcXQ2LjU0SX5KUA+p4JA3B+L9ZIqTqpcqQAOafLjwqAHloflkiuNSE49DnGIgDs2sLATUgUq7NDLFJwBxHpq8KbTkTKaFp7ZAY4oQWIdUdJMqDioxF0LzkCiUPwWPXooBsXnwHbRkZCBDHFQA7YA2w0DFvg8BvcMHAAAaoV7kjPOE/wAAAGd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+PTwvbW8+PG1uPjI8L21uPjxtaT5tPC9taT48bWk+dTwvbWk+PC9tYXRoPqUErAcAAAAASUVORK5CYII=)
But Impulse
Change in momentum
Þ
Þ ![F subscript 0 end subscript equals fraction numerator 2 m u over denominator T end fraction](data:image/png;base64,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)
Related Questions to study
Physics-
A body of 2 kg has an initial speed 5ms–1. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.
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)
A body of 2 kg has an initial speed 5ms–1. A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The final speed of the body.
![](data:image/png;base64,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)
Physics-General
Physics-
In the figure given below, the position-time graph of a particle of mass 0.1 Kg is shown. The impulse at
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKQAAACBCAYAAABO1BHEAAAVf0lEQVR4nO2de1DU1/n/XwvLVZZVRCRedsEqajDijaIQyyjipVIdI6nxgtYkHTXTAuZibGyMnThRMw2p1Ubb6FRRI5Do1ASNGhUErYpaFJIgeAHxRpCLssAu7O37hz/3VyogyO7HxT2vmf2D3c85z7Pw5lyf8xyZ2Ww2IxDYCU5P2wGB4L8RghTYFUKQArtCCFJgVwhBCuwKIUiBXSEEKbArhCAFdkW7BblhwwaOHTuGwWBoc5mGhga+/vprUlJS2mtO4GC0S5A//vgj+fn5+Pr64uzs3OZyLi4uKBQKvvrqK+7du9duJwWOQ7sEmZWVhVKpxM/PD5lM1nYjTk6o1WpUKhUXL15st5MCx+ERQd6+fZsePXpQVFREfX09SUlJTJs2jevXr5OXl0ePHj1QKBQAGI1G3njjDRISEggMDMTd3Z3ly5eTlJREv379cHNzY8eOHQAolUq6dOlCVlaWtN9Q0Kl4RJC9evVi5syZrF69mgsXLrBv3z4+/PBDZDIZd+7cYeDAgXTp0gUAs9lMeno6BQUFHDt2jI0bN5KcnMz169c5ffo0b731FmlpaQC4ubnh6enJ3bt3MZlM0n5LQadB3tybCQkJDBkyBJ1Ox6pVqwgJCeHHH39Er9c3GTtWV1djMBhYt24dgYGBGAwGIiIiWLx4MX5+fuh0Ol544QXgwTjS29ubS5cuUV1dTffu3aX5hoJORbNjyLKyMoKCgqipqWHYsGGW993c3JDL/7+Gz549i1qtZvjw4eh0Oku5vn37ApCXl8eYMWOa1G0wGNo1Qxc4Fo8I8sSJE6xfv56PPvoIvV5PdnY28ECMjY2NNDQ0WJ7Nz88nNDQUeNBaVlRU0LdvX7y8vNBoNBQUFDB06FDgwXhTp9Ph7e2NUqmU4rsJOiFNBJmZmcmnn35KXFwc06ZNIyYmhrS0NDQaDf7+/vj6+lJWVmYR5aFDhywtaFVVFWazmV69egFQWFiIQqFArVYDD9YiNRoN3bt3x93dXcrvKOhEOK9atWrVwx9kMhmDBw8mKioKZ2dn1Go1AwYMQKVS4eHhQWFhIeXl5YwYMQJPT0/UajURERF06dIFNzc3goKCeP755/H09MTV1ZXw8HBUKhUAFRUVHDt2jODg4CbDAIGgCeZ2kJWVZV68eLH56tWr7SlmNpvN5rNnz5onT55s/v7779tdVuA4tGthfMyYMZSVlXHixAn0ev0jn2s0GjQazSPva7Vazp49S1hYGIMHD37y/x7BM4/MbLbOIa+GhgY+++wzvLy8eO2113ByEnEbgvbT7DpkezGbzXz//ffs3bsXJycnfv7znxMSEmKNqgUOhlUEWV9fT3Z2NufPn8dkMnHmzBkGDRqEm5ubNaoXOBAd7lfNZjMlJSWcOnWKgIAAAgICOHjwIKWlpdbwT+BgdLiFbGhooKCggNDQUNRqNe7u7iiVSvLz81GpVKKVFLSLDreQRqMRLy8v5s+fj5+fHz4+PixcuBCFQiGCKATtpsMtpIeHB2PGjGmyHejj40N4eLhoHQXtpsOCdHJyanZv+mGImkDQHsRiocCuEIIU2BVCkAK7QghSYFcIQQrsCiFIgV3x2GWfW7dusX37dm7fvg3AtGnTiIyMFGuMApvQqiCrqqrYsGEDLi4uREdHAxAYGNhq1oqtW7eSmZkJwLx584iNjbWiu4JnnRYFaTKZyMnJobS0lA0bNrT52OqkSZOYPXs2AL1797aOlwKHoVVBnj59mlOnThEcHAxAUFAQSUlJjBo1qsUK+/Tpw8iRI63vqcAhaHVSo9friYiIoKysjLKyMkJCQti4cSNlZWVS+SdwMFoVpLu7Oz179rT8/OKLL+Lp6UljY6PNHRM4Ji0KUiaT0adPH65evUpNTQ0Gg4HKyspHslcIBNakRUE6OTkxYsQIdDodf/nLX9i2bRtnzpxh9OjR+Pj4SOmjwIFotYUcNGgQb775JnV1dVy+fJmYmBgmT54sMk8IbEarfa+bmxsTJ05k4sSJUvkjcHDE1qHArhCCFNgVQpACu0IIUmBXCEEK7AohSIFdIQQpsCuEIAV2hRCkwK4QghTYFUKQAruiTYIsKioiLi6O1157jeLiYlv7JHBgHitIrVZLeno6//73v+nSpQtGo/Gxlf5v2nKz2Wx5dfR9g8HA1atXyc3NZeXKlchkMvH6f6+VK1c+9m9j77Qa7WMymbhw4QIlJSXExcVRVVXV4rOFhYVkZWWRnZ1NUlISq1ev5pVXXsHV1ZUhQ4ZYLk1KTExkwYIFZGRk8P7771sy7e7du5dRo0aRkZHBokWL0Ol09O7dm82bNxMSEsK2bdtYuXIlOp2OiooKRo0ahUKhwMfHR9JMaxUVFXh7e+Pq6iqZzbbyLNyQ1uotDDdv3mTNmjWEhobi4eHByZMniY+Pp3///s0+/+c//xm5XE5iYqJNnNXr9Wzfvp133nmHGTNm4O/vz8iRI5k5c6ZN7DXHsmXLiIuLs1wqKrAuLbaQRqORAwcOoNFoeOmll/j222+l9KtZ8vLy+Pjjj+nfvz+vvvoqgYGBkics+OMf/4iHh4ekNh2JFseQer2ejRs3ArBlyxb279/PhQsXSE1NpaKiQjIHH1JTU8Pq1au5e/cuL730EmFhYfTu3RtfX19J/fDw8Gg1UYKgY7QoSLlczm9+8xu7uZdwx44dHD58mIiICObOnYuLiwvHjx/n4sWLkvqxfft2rl+/LqlNR6LFLlsul/Pmm29afk5NTeXkyZPMmjVL8lYpPz+fTz75BIVCwVtvvWW50DM7OxuVSiXpJU2HDh1iyJAhBAYGSmbTkWjzedYJEyYQFhaGv7+/Lf15BK1Wy/vvv8/169dZsWIFERERls/0er24DP4Zo82C7N69e5vz+1iThy1zaGgoy5Yta7Lc0qNHD7p16yapP2PGjHkqvwdHwa5P/J8/f56kpCQaGxtZv349Xl5eTT7/3e9+J7lP/z2MEVgfu93Lvn//PsnJyZSWlrJkyZJmE1g9jS67vr6+TbtVgifDLgVpMBg4fPgwhw8f5oUXXuD1119vNn1LdnY2eXl5kvr2j3/8g2vXrklq05GwO0GaTCYKCwvZvXs3jY2NxMfHW2bV/8vx48e5cOGCpP6dPHmSyspKSW06EnYnyHv37rF3715OnTplSR9tj/vGAttgV5Mao9HIf/7zH1JTU+nXrx+//vWvW13zHDJkCD169JDQQ4iJieG5556T1KYjYVeCLCsr4+9//ztarZbExERCQkJwcmq5EZ8wYYLkqQFjY2NFwn8bYjddtk6nY/fu3Rw+fJixY8cybdo0PD09Wy3TrVs3FAqFRB4+wNnZGZlMJqlNR8JuBFlUVERSUhIqlYq4uLg2dcUPgz6kJDExUfKZvSNhN1322rVr0Wq1zJ49m/Hjx7epFbpx44bkkTeVlZU0NDRIatOReOotpNlsZufOnaSlpTF8+HDmzZvX5i7xYei+lLi4uLQ6rhV0jKfeQl65coX33nsPf39/3n333RbXHJsjKCgIPz8/G3r3KFOmTJE8wMSRaFWQOp2O06dPU11dDUBISAj9+vWzmvH79++zZs0afvrpJ95++20mTZrUrvJz5syxmi9tJS4uTnKbjkSLgjSbzeTm5rJ161Z8fHwoKioiODiYt99+u9UWIjs729KlhYeHt3jJkl6vZ+/evfzrX/9i9OjRTxQocffuXVxcXOjatWu7yz4pBQUF9OnTR/LZvaPQ6mDIy8uLhIQE1q9fz/Lly7l27RqFhYWtVqjX69HpdOh0ulYDH/Lz89m6dSvu7u689957T7TYfOjQIXJyctpdriNs27ZNRIzbkBZbSJlM1uRknZeXF0ql8rED+vHjxz/21GF1dTU7d+4kLy+P+Ph4IiMj2+n2Ay5fviz5JU7Xrl2jtrZWUpuORJumi1qtlqNHj+Lt7d3h0H29Xs+BAwf45ptvCA0NZeHCheKaEYGFNs2ys7KyyM3NZcmSJfTq1atDBouKiti9ezf3798nPj4etVr9xHVNnDgRb2/vDvnTXpYvX27ViZ2gKY8V5JkzZ1izZg0JCQmMHTu2Q+t+9fX1fP311xw9epQlS5YQERHRob3o8PDwJy77pIwYMUJsHdqQVrvsvLw8XnnlFX77298SHh5OeXk5Go0Gk8nUbkMmk4lTp06xc+dORo0axbx58zp8elGn00k+hqypqUGv10tq05FoUZBGo5HMzEy6d+/Op59+ytSpU5k6dSpbt259okH99evX2bBhA2VlZcydO5ehQ4d2yHGAzz//nPT09A7X0x5ef/11zp8/L6lNR6LF/tLZ2Zn4+Hji4+M7bKShoYGjR49y/PhxYmJiiI6OtkrYWGVl5SMHvwSdG0k2ZfPz8/nrX/9KQEAA8+fP52c/+5lV6nV1dcXFxcUqdbUVPz8/sSpgQ2y+l63Vavnb3/7GjRs3SEhIYPTo0Vare+LEiZLvmMyfP79d++2C9mFzQaakpJCens6LL77InDlzrCqg0NBQq9XVVsLCwiS36UjYtMv+4YcfWLlyJe7u7ixatMhqXfVDSktL+emnn6xa5+PIyMjg7t27ktp0JGwmyLq6Oj788ENu3rzJq6++SnR0tNWDaVNTU8nIyLBqnY8jOTlZ7GXbEJsJMi0tjUOHDqFWq0lMTLTJwaja2lrq6+utXu/jbIoEV7bDJoK8dOkSmzdvprGxkV27dtksIdTTmGV36dJF8pOOjoTVf7O1tbVs3ryZoqIiEhMTm6TPszaxsbGSp1f+6KOP8PHxkdSmI2F1QR48eJA7d+4QHBzMokWLrF19EwYOHGjT+pujo8Elgtaxepedk5ODVqslISHB5hkefvjhB8kvcjp8+LDkM/uOYjAY2h1/8MUXX1BeXm41HxoaGrh48SL5+fmtPmc1QVZXV3Pr1i0AZs2axbhx42w+vtu/fz+nT5+2qY3/5fPPP5f8n+D06dMdnkgVFBRw7ty5Zus5ceIE6enplgliQUEB69evt+rkzWw2c/HiRbZv345Wq23xOasI0mQykZOTw/79+xk+fDizZs2SJMtsXV1dq1/uWeHjjz/u0FlwuVyOUqkkIyODP/3pT5w4ccLy2cM4gwsXLliW5Xbt2kVERIRVhyfu7u4MHDgQnU7XajpDqwiyrKyMlJQUrl69ypQpUwgJCZEkZvBpzLIDAgIkvTkMHtyS1tEkqX369CE2NpYbN26waNEili5dyv79+1m3bh3//Oc/SU5O5ve//z2lpaXs27ePqKgoS9mcnBxmzJhBVFQUy5Yts/SEmZmZREVFERUVRUJCArdv37aUyc3N5eWXXyYqKooZM2YA8Nxzz+Hu7s65c+da9LPVm7zaik6n48CBA3zxxRfcuXNHsntsqqqqkMvlkkaNV1ZWolAoJE0RWFJSgkqlskqCgvLycu7du4eHhwcDBgwgIiKCyspKpk6dSmRkJPfv3yc6OpqSkhI8PDwoLy9n48aNuLm58fLLL+Pp6UnPnj25dOkSv/zlL9mxYwddu3Zlz549mM1mVq9eTXFxMYsXL2bBggWMHDmSb7/9FpVKRWRkJOvWrUOpVLJixYpm/bPKLNvd3Z3p06cTExODyWR6ogBeQct89dVXTJ8+3Sq9wTvvvMOmTZv4xS9+wezZs/Hx8eGbb77h+eefR61Wc+TIEQwGg2U5zWAwUFJSgq+vL0FBQZZ69uzZw5QpU4iMjEQmk1FeXk5ycjKXLl3i7NmzBAYGEhUVRc+ePS1bxo2NjSiVSiorK9FoNM3GNVht2cfZ2VnccGUj5s+f3+E69Ho9a9as4ebNm2zevJnZs2fj5eVFSkoKdXV19OnTB3gw+ejbt6+lXK9evVi5ciUffPAB3t7efPDBByxevBij0cjOnTvZs2eP5dlx48Yhk8kwGo34+/tbepGHGwmNjY3IZDI0Gg1arda2ghTYLyaTiXPnzjFgwADeeOMNy9GR+vp6bt26Ra9evSzJH+RyOTdv3mxSvn///uzatYusrCzWrFlDZGQkSqWSX/3qV+zYseOR4Utubi7FxcVoNBq6detGdXU1ZrMZNzc3jEYjSqWyxXG4EKQDoNfrGTp0KGFhYU3GoXq9ntraWq5du8a5c+cYPHgwAQEByOVyqqqq8PHxoba2ltzcXGpqarh27Rq9e/dGoVAwffp0UlNT2bVrlyW/Uu/evQkODmbYsGGkpKSQlpbGoEGDuHjxImFhYQwbNoyamhp8fX2FIB0ZNze3ZoNblEolMTExlJWVkZOTQ9++fQkMDESlUpGRkcHMmTOpra3l+PHjllZzzpw59OvXDxcXFzZt2sSWLVss9YWFhREUFMSgQYNYsWIFKSkpXLlyBZVKxYQJEyguLkav17e6nGSVWbbg2WLt2rWUlJSwefNmq9Z78uRJNm3axNKlS5u9dwg6YQt59+5dPvvsM0tM4sKFCxk7dqwktgsKCti9ezdBQUHExsZKcrZmz549HDlyhIaGBlxdXfnDH/7QoeQKbWHOnDmEh4dTXFxstUtG6+vrLYm6Bg0a1OJznUqQer2e7OxsGhsbmTNnDkeOHGHLli34+/szYMAAm9quq6tjx44dHDhwgEmTJjF9+nSbC3LPnj189913REdHo1QqcXZ2liTSSKVSsW3bNqvutrm6uhIdHc2kSZNa3VjoVIKUy+WMHz+ecePG0a1bN7p27cratWspLy+3uSCzsrKABzkypdgdun37Nt999x0xMTFMnjxZ8hjMCRMmWLU+uVzeppa9U+UmlslkdO3a1RLw29DQgEKhsHlLVVhYyMGDBxk5ciT9+/e3qa2HFBcXc/PmTRYsWGC5beJpJGiVmk4lyP+mqqqK3bt3o1KpbCqS+vp6Dhw4gMFgIDo6WrK8Pg/nmvv27UOj0aDRaNi/f3+TWe2zSKcUZF1dHSkpKRgMBubNm4dSqbSZrcuXL5OZmcmoUaMoLS2lvLyc8vJyrly5YjOb8GDnq3v37k1a/7lz53Lnzh2b2n3adKoxJIBGoyE5OZnz58+zZMkSm48d5XI5er2eL7/8ki+//JIrV65gMpmor69n586dNrPr6+uLVqvlxo0bDBs2DL1ez61bt6ySE8me6VTrkEajkb179xIfH8+sWbMIDg4GYNiwYYSEhEgSgbN69Wp0Oh3vvvuuTbNm1NfX88knn1BYWEhYWBh1dXVkZ2ezadOmZzpzhvOqVatWPW0n2orJZOL27dv4+/vj4eFhGVv5+/vTt29fSWaiMpkMtVpNv379bBpM4uLiQv/+/dHpdFRUVGA0Glm6dKlkk6qnRadqIQXPPp1yUiN4dhGCFNgVQpACu0IIUmBXCEEK7AohSIFdIQQpsCuEIAV2hRCkwK4QghTYFUKQArvi/wAyiT2Ik22m4QAAAABJRU5ErkJggg==)
In the figure given below, the position-time graph of a particle of mass 0.1 Kg is shown. The impulse at
is
![](data:image/png;base64,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)
Physics-General
Maths-
Which of the following graph represents x=5
Which of the following graph represents x=5
Maths-General
Maths-
A market with 3900 operating firms has the following distribution
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)
If the histogram is constructed with the above data, the highest bar in the histogram would correspond to the class
A market with 3900 operating firms has the following distribution
![](data:image/png;base64,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)
If the histogram is constructed with the above data, the highest bar in the histogram would correspond to the class
Maths-General
Maths-
The median from the following data is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAesAAADsCAMAAABjX36fAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAPfv9ykpIQgQCN7e1rW9vQgACEJCQq2lpebv7+be5s7OzhkQGRkhIZylpUpKUmNrY3Nza3uEhJSMjHN7e4yMjDExOmNaY9bW1jExMb2t5oxSY7WttVpSUr0ZWr0ZEMXFxUJzWubWrb065r06rb0Q5r0Qrb3OWr1j5r1aWr1aEL3OEL2UWr1jrb2UEEJ7GUJSGZQZzkIZzkIZhJQZhO8ZWu8ZEGsZzmsZhJyUnIQZCJRalBAZ7xAZpb0Ze70ZMRApSkIZCBAISu865u86re8Q5u8Qre/OWu9j5u9aWu9aEO/OEO+UWu9jre+UEL3Oe72E5r1ae71aMb3OMb2Ue72Erb2UMRDmaxDmKRCtaxCtKVopKRDmShDmCBCtShCtCFoIKZQZ70IZ70IZpZQZpe8Ze+8ZMWsZ72sZpXOE73NS73OExXNSxcX33kKE70KErRCE7xCErUJS70JSrRBS7xBSrYwpKRDm7xDmrRC17xC1rUKEzkKEjBCEzhCEjEJSzkJSjBBSzhBSjIwIKRDmzhDmjBC1zhC1jJTma+/Oe++E5u9ae0Lma+9aMe/OMULmKZTmKZTmre+Ue++Ere+UMUKta0KtKRl7a5Sta5StKVopWu/F5u+trXO1rWvma2vmKWvmrRlSa2uta2utKZTmSkLmSkLmCJTmCJTmjEKtSkKtCBl7SpStSpStCFoIWu+l5s6trXO1jGvmSmvmCGvmjBlSSmutSmutCJR7Omt7OpRSOmtSOpR7EGt7EJRSEGtSEJTm75R7Y5SE74wpWkLm70LmrZRS70K170K1rZS17xB7KZSExZRSxWvm72u17xBSKXNrlBApzhAphL3W5pTmzowIWkLmzkLmjEK1zkK1jJS1zhB7CGvmzmu1zhBSCHNKlBAIzhAIhL33pb33Qr33c733EHOMnDEQSu/3pe/3Qu/3c+/3ELXOpRApCJy1jMXWpTEQIff31ggIIc73/7XWveb31jExUu/e1gAhCLXWzhkQCPf/9wAACP/v/wAAABsfKZUAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAqFklEQVR4Xu1d7XKiStdtVBAQiGhgIlVS5W1w/9eTqvfHpFITk3rX2t1Am0iiRpycZ3plzhGx7Y/91bub3lvl4ODg4ODg4ODg4ODgMC5iFU/2P+LfD+gLuvDuznj/3m7SmOGyoMmm05/xL9sG0/f3bvwv20Xv7oz3L6uS8t2tEf4tIb4dVt6PQROZi7+HXWEuboGkNhcjIpsYPhO3HNwXiP4+r4N7c3EL+Lm5GBHTH8rrux+g16W5uAHS5Aa8rhyvhxDckNfe5hZ6bc/XzobbuKle34LXTq8H4fT6RvgJvtkNeT33H8zViHB6PYhb8vr1f0GvsyjKzOVZuCKvqwt5NsJ8XUUD5LimH54PmYix9TpTKjSXZ+FqvA6LQBWpeXMWRtDrXKkB0b+aXj+s/XhgX2ZAr9NaC8e8rh9058I6X8rFWUhLpSpzfRbs+Rp9qHUlVX2u4IQJB3aRael5neb1g4iLTY5LhrVUsbl6B1uv2VqtpTM0rZ2MeU5+JubdOwzodYU3bC7DV7UkBmrS8PU8LNHwRby29Dpl9wOppVE7uXU6AqXi3fabel2jA9I+u7KWW4G6gBppodRAVyy9ZmuqFKL76kzbkr0p9TxkkAb0eop3bF3oLKO6bHC5ii+i8wdeq4CXpX45A+D1pbNBP1+HUIh6hotqbx4apMm5XCDA6uA4OWy9hn4Awovk3GmVujk4Gwzo9RTywe9kz7gtxNqawb3M5/IKe+Gl1rvuam7dzCfX4DX7oO1Sy+vZnP8GYX38DV5b6hHu1R6TYEWpI5FeUC1F3x6rl1rv+tt2kVIlQ9Sw9DrkcLVmtbzmeLp2PuLlFY3IFVV38AkWBaFDz2vYcIXBTTe8zWa3e8VHAcEmSXyt4KGf+En7rvATfEK7U8lNUxME+ekyXlvz9eOCnZgEGI3hdYEW8Dc0d4cbfLhJ0Id5AFGOkwFl+gIWr+FhKjgwwoUF6k19WFkvIwE2iSZHzWHjLd/dbZLNhv3V5JCuAOXz0Ex6oNdiw9UT5opXw+utDHdwFIXuB8hRoV9qkQyYnCE/vI7Ja7JceD1HJY2XbuW9atBqjTtgpVa4QksMp2b9FWMEVur5AoeOsPVaeK1iGFHNa9Oa8o/XHYqAQjoKb25Gd6aHo2HxmoMCM/TY2LONaqqpuH2AkMM0SnLc6yvyRruGxrRE6LJcHMEHvVZbXAqvU3xPsDs+jJYcSd1+dUCiBtfXvgpCDq78rSBzM19FfNusiqJRCp+Xyq+9JUpBJIoJyhTrCehRoWNlkRfi9tfJ2b5Ui3fzdXSnJmWKRkmBHWi2Wq0WHN1HQAj1p2w7h0QmRf6J/RuGtb5OQU+0BfUuEzFzPt7mqihWWNGpfSqNYtQkGpceUZGDStEUZeI8LwrtnjYqGZL893qNZsh9zWu8D1YrVnvMzQXxg1WBT1E2LSHcUTFg8Ib0mlaq4eDYdchJQrnOpECl9muSnSoWUYHBjGCKN09qSatNSdC4+0SQv4DNa3Qlp3BnulGoUMIV4cBUDNtDAYOcQRipS8cKnYIDd5bMzaCwIEcjKxuItVADS2ZMU3+080hyUPlBbHLogbzudjbCPyImx/FOr7Nwpzaa12mxl1UIRb4v1IG32RFII5RzfryQxpBes4p1usJaAwIaeOFCV1GFYUgRqg547at1tQzribrPYLQmeRhqa9OohU2vc2DN13o0IGEOSUKj7BnvwzzeSYFDQMDYM3SQgnYd34x9KLGowPozUtsp2UlakRo0zK9e8UyLU1Hp+WEZhigsuo9uh3qiRX8Hu/Jer0MM1a9gwQphPfWZ9R7jNTRBOgprF4n7NeibDen1bPumVqjezyAw21Z4xBElKvQlqbJMLNoLmtOIV9o9wDdQGrp4KZ3f6zXUhdp9Tza2gzO+8HtANmXiIK9fr8ZrrAXyiosKmI0I5FjAZmgnCs4QJHutkgxdjAvL241DrxZfA7MPsFPxsOS/0+vQyxdqAeXWvKbpp1Ye2f20eQ2PCoXO1mtv9lsVtYqz+fxebcHjCaogq/VpROq14uFHdh/NvcU89ymbc9mCJUjgb9DZ5jX9cPQMjb/BmombKIMb0Gso2nV4be+HYz1Ncvgz724v5MBIyQT0Cc2AlZAw4I1E4gWJ8UxtDEEZbYfSne72UbxfX+OrNAkcuGY96jXL4Hcgr4VvYjZ4pOxsvea8Fy9kxVSoPXUq9cInmKWMpkz0mlhlKADHrciyLJ1m4gNlKQj8Gxd4EWt6Cd7pNXpGkZUKW14PsBE2vOP1/Dt9OJivYcFiMDD10kbIAerXahJmj2gGd0utMuQFT3WBHNNMz2NZhtI0fli16i23o7D0mrxG9e2WCnktOoQmjug1iG/rNVg0yOtBveZ3YZ7ASowGgKSxdfhgaHw/hWVPphUlV5iRLG1XF8ab/nKg7i5a7BAf5mu0i1GhXrof0lGZoDSqIBDvkIBek7vwibkE/IZeH/CaFQlXYa0JmGdYbNyHSwO9xqe7SpODen3gbmNthpowCm3Kj+K9XtO5E23q9brdyiTyIGhe9GVLnShWzVT0+ojyawzrNWwCAGZpXkO02ImgaTjqsNopvyzL+4a9QnPP9w1QeWGEF6wY4LrDXzmg1ll4p9eiEeQ12Ig5MGFj4nhqkB4tfcNAxfKp+oN3V+M1Rf+ZG6VcPcdl5lUwIBgs1tUwfmjmeb0GOZYeHdod+9eAdhVeSl/8Cnryw/gwX0OR8QqWcCEEqjeQYdYoQB+6/cjlM8mBT8m+DPPduftmAJemkwLqCg8Bo0IzU1YoaFLKs4AbGu1qHiIFV5Tgcsfixfmw52tMVEL2FZqR5RQMFaGfhxDadTWAGArYB0rspTb88Pk1xyV7FMvfuCKhyRPc26oJpjfTpiz5CxNhgR5pIwA6pGsu0wYx2/TmuR1MRh+ALNHKBqobVZY7Ha+FUQSpTeU/4KKNYb32HqJI36ii6E7XfBcJIKZVpGJe6d2SApdb/IfWHlkgqr1U77xdCluvS9ZH5KZH6Bmwba229HDbMV5OBABCPfRscOxf4FCv16hR32D1j+Y1in5lESQ/i3y+gTDK/KGpAfUIeZdkgZLuyMAhWHrNevXQGjNwti1Ub1FH0T2fxWiALICQI22i7WAzw/P158DSg6PCzDygNvb0cgH+Y+fNAm15jK/wESmUtRfGj5jfIhbgE73+FBjVLk1nXG2aO+8AQX67jl7/LZzH67sUwLR9bMmvXZ3PeP1q+Waj4VK95tT9hFXIoHNZyVPAi/Ef4zXI8RQ/wTHq59QDcA7+jNc/+nx4VmmPoeHMdRRmQXYh/mO8ziJuqgxLfooF2cBHGrfg9aV6zSmI+HQA38APmK/POkeaCTXqQcn/Au58+N/FOXr9Xfzo+Xps/GO8dvFcfxe35LV3C70e3jf7u/iPra+/C3s/fDQ4vR7ETfX6Z/vh4+IH8PosP/ybcHr9d+H0+gQU96dto1TNcINuvr4+rqPXy1VuPV3xPzuAYSFHi0N7MRfo9a9V/p1d2Q+4jNfp6iKuXaDXdW7OIp+KIb0ODe/C0JyCrMJPYiQPnhLXi76iFN8njnaKB+Xbp+/vcQGvI3XxCeWjuIzX9UWRB/bz6xPB40bHH7QMYUCvK8UDZqgQoqCfXQdqP1yzffoDX+kDgLnnT/hHx49WhjTxAl43aObVXF8Dl/F6eRGvL9FraMp5vB7Qax6aIhvIawnkAjs/qdjm9QEDyWtJhLk5RoD2tM0RXDBfg9cDwS2X4TI/fGmdGDkdFzy/7s7TnowBvaYIsPXHLk5TTv0PweI1z3H3/KvVpMoyHsF6PsLsVqKO4DK9Tn6CXu8v0OsL9sNfz9brgX0zcgEzSCbHqFhjsxdeN793QWBayHC5C6SPKBZ5sygIdPiYzeuYD3TN49sQ5QPrKE6ax4dHLnv0vM6CgCepsiSQ82WpvFRSUyDH6MqgZleyUvS6CQIOAy8709EQLyhj9/ck9Lyu0DYP0KIn5GOWbB/pbbA644gUrDuiQsuZeq8OEnl3Kqz98DoI+FXzgkZJiVyPVwgQBVkd7JoMvGYPI6EOP9Xk8IqCRJqyBtwzHSQG9JoRS9A4slx4zbOcdzwbLRAiTKHMwIKd1Hr9xqLkda+rsGhUNc3rGr0D+lZ4/vdLvWYf0Iapl+cbl+0JRoZZsHGfXQnXwmt8EsjZS4LMhgd4h37r4BvAav5z9Lxm90FQfTAecmYNRgcGm8OVIhBqknkPIFfeHwg7AT2veRwREoURvEGilgnnhFxC0NEaKJAqtUP1+wzdwPgwtEK6BMSsJH+Kmy2JpE/wywlLjcH1tQnMVE0iLUjY5iNYul6jojKVo7n3ZYGu4FNpdi0xZu/1WpVFUYBB+Eqj/NW6tBcK2X7otEY/XzNiDhWaeuXwdMhwmaIEAThBo3K+S1Eu4KFKdHeGjpbsaPOoT2FGZchjmc26LAeP1L5Hz+sMTYD8ZDleSMNs6St/vWZENTrFONWiRP24hl7P0aUzn0dbz6+rrcz4aIWeJiqNeUwzWa95WBldegTHknWZSyjKDJ9HEDw1EV4wOEdMcVlmSzAIZOGhboOh9TUVWeI0Gdgg6pLL6XSMlSGTEuPDFQ5uxcLrAFc7yDW1pxclkoeQSKbyQ+4UzCDdmedD2PO1r5pKTkujLKoPyH2eXs27UEwJ9MCw/fyNxGdoClvCJ0vRRoaXwWfYn2NW7fkaulRmImdFyjE1PFnGHnLgXgoh5yHOWMvkflUHnftyIuz5GkPEGgjknMjLU0leCP1iKhNDy8ioOXgdgQuYVjB9kRfQbkgJJPyJpfEqZOkxpNd0wNdz0kziHuFx5cK4vKoqoSRaeQ4rCKF6NrKkc4F80GvloypZfZMZhytthikct6kWr0FKkFjOo68gbhMaCO1xgx6LGeitY+JwF6A4sQ8FOorWGfAoAVcSNlJ/fhDoEJYfLgKcymHvGvODjv8M0MKGLIfErnRrWhKANrHEqbCfX7OG8FFGUzEslMKup00RMHBG7LKJmGQUFngRgxdVSV6AIwy64bySHJ4DG9JrZgQpMMQFo3m2jEnS0SYGFUloAOlBYTQnFbNQ729BFZ4zyKPkCSmeKVi90mOITweNWrB4Pf9tQkYhaagdbq7FawhyJNNyy2tWT9YYhNTnWI4G/SJx1o8nc9vSa44/zNUbustgW/AaFNXYNyahC4EJUxOJqRbOgqXXIahUrdUEL8bfhAa3vIYVWZiwLu0wGHtvIOQwRoWhE6q2zObgfJ3u1AqeFWzGvdoyHi0XG6aB2+iFBr1F8nrPgOH3vMbsVXnzRu0DuOMzCfvjnNJiOPzIXl9jZspr1J6oGhVAkC1ei4pppmhe032whFL0mlFpgEQUL062rhav+VW0HeCF4edY2ol0A28o1K1l9jU8cLn6JPr2KA72w9H9qlENXzTjIGlSH8ynhN2K3eR8zZYwe/S8BllEIASkdvzcM3VIr/kd31fPIjUx3YBUeE0bDszpLordqCg4qD+q32ChtU7Zem3kji9ABUsqnrsG+j2wI27P16h+AVcI0ocesQ3ymrGCjAHnrNzpdaKrZx9ow4FX0Wsj3FP6q4zyOgk2r0Fu/xmT1IJdMDGBsJBVNUX3cde0hoIYMfd+T5YoA3vfDBqQxOoeHgpeMB1zJS19CeixgGZiGme42zwotZkKfZdtDzq99uYVTUQ/ikG95mi0RmgNRi3GN9OAf7QxlyJwJZ0no1P2fE0mTxs1kbAYADIKny+KJPdHOhEf6ggOeC0SvEgl0QwVGsPhC3xuSrDF60BPCpIPQu4B1Ouu19lWT2anwOa1zs+TMEGMJqWomAH0uo83oh8OC+Sf9vinxYFeVxIOFnH3QTYt6TuxL5gLwSH44XoaRFcKLgF2IeiLidqg12sAftYpei0ENis9gPXDHY1KARxiLA3kkp2kXlMSsC4jr3VfCIycPKZh++WFLI5+66UuGsvu91bZA3zgNa0B3ESRHaz3nlAV6E/3c2uoLsb1Ab4Bqmw7ep91el01eFsE2vqfggNek+wbVNyKG9OxSAuQazqPiWkN44dDQftxQMwvYes1w6NUAOPYblrWsCUl13SG80Iz0WuTlgWNYnQAGoUiiDjX93zvW3o9sG8GFGhpz4KyayBq+Ih6NGisRfH1yFECsgRil7IWtfVaQhqr31Q0820sisBrbuhQLgb2zQ72w7lVwWbQouyeeFUiJ+/VgovlwKRXQPVgPTySfi+FYofJZkJei1WAq2gR9XPY++FpCX6yGSiTnoPMXgrljCt7DTABI0ZrkPveBJ6Amc1rLmr5WJiWUrIAMaGGgHmUcFfu6VUxWYIFgeEFqW3S9LT7O9Y25bBeM6Bbj5aR7OQY0HDbDaDJ4uYlwDKl3pjkTiTlrq8+1Bt93LTLWCGBT7PgN28f2oADHOi1t9LNFG2PpEuA7Iuszb4nA9Dxsmr3SAWVtwwCnY9U7yOezOrD+RqtmHp3pgbumALy7l5f/4H8VtJau8N5MmxeSyukJAZhyIP6CBI2lU1RAJ/yS02QrLx0qwuAah2Rlt22qsHwfH0pIHfyOPQEQL3pah3DIa//Cg55PS7+o3EfXIueqDzQ6wFW/2u8/q/GfcD3O23PuUbbQ5Pav3be7CfHX38G28//DFjr18dDWP85vb5J3McIeu3VueUQfIJsNeCYAT+A1+58+I3wr+n1oR8+Dg70+uRHu+PjB/xO7v+cDefThw5nP50ZDWlwLP3kTZGaDO83QXWLNRd94R4NE7z8BGz/eleyRBXmcnxUsXowl+NBP4Hr4T9d5S+2ri/6U2pvv/0bf0pNfPv9qH9KxVeg2ud/B1r9cyAPev4x6B1+BwcHBwcHBwcHBwcHBwcHBwcHhx+CYLsNIvxP76LynTkka+Cbz/XdhAXkaiQsdHigik2zO/v53C2wY6PmmuTY+uZaw7eIdVj2Qvh6iJsDMo+CeNc+3mQjE324fOP3BO6eweV8RiC//8o41ZHgJ0W2kcbbx9rVTbfM4438tjePTULsEumE/vlEg4UmB38pCoIvZZPkG+LoJzpSqTulydiskSBRrAIwcBLoFAGv1iGW7tH6Az5vI135y+JjYMIfNdZRC234ykEMw+jwUz3CjPy7SzU5lnEnb13ip/tYvUkIIyMVv6GL/Gk7oXb7DH1EXveBMOiwRGJSkRmIYNCFa6ATDLvJfQj7SJo9EUpKmE0XjSVCfzOQHKVf8kyBhFalAUOguwfCE1IjZLwEg7Oh1VJWTOKFoLjIEG/Aa8ZJrSSSABS+EyYyfFxC1wQY6lQ+Z+TkTIJQIBImiue6MEqTSZQz9FpCOkyQz22wA+nLWE0a8q/JJI4J1OjP9IC9oS+5BnKSrpxI2T7y5kzEEkwh01TRkXk0MHlUy7hIJ7CQCDmb14zQISj0UlaSqFwfIB6TT2qrvfVmN7XeAhPIxZHWFHkGzAW1/Nq9gFkGGMEVZV7B3yGkQjOI9VLRf8OIH7xfvDzIcDAOmAeh7SklmINilFpnlixe+5i+GEPIiMwxTM3buojZthA2kN9OvTHoi1GKKdVB6TGFjBb9lhzgNfwWUqWkQ8HbLMu40kuwTr0gam34+LxGT/nTfRwheD0lfTlP2Xqd8XcE8UGr12+Qjy4+8sroLCbm63v+ouAYBmQQ5PUGr4bXOr+ERQ7qtUh56K03odj7jirng6Hb1aZseT0lmSM2PxK6MPqt0Fl0CoI865psfTP+/DotWJIknK5oycYACNvN14I0uaF6cxHVYIRUZfBaaxp53fZhClcGn8MDX4mrA3LQ7l/Gaw7xD6oXXrfHuJfjMTvJ0sc0xeJiHuyp19QpEeR44fNvn6cZzyaC2fIL4C3G1GshbMBW2Z5m/Y1gJY/a2bwOhBjxpI9ABK97alzEa5mvmJZbeF22431/CvSKiOPFYvEEEZvvGMv/hFvswyaXtrMkXjzxD4NEJ6DYBmPpdWtbYOGeYv8JVq6fTm4Ai3+2XntaI6Zxn1gZprzPqXwRr5vUe9nF5DUHPGnJPPq0TVMegNcZVzgY3OPilx5Eu9qAKUcnkuT3bifpOEfkdWZ+VZqw7ectECcB/nbGhr/W7An7oBPxwVv0MYUlu6QSAiS4krD/i3hNGar4i4xpxdW8rC1B5j4J1UgQZ4T6bPR67id3UXTXO0aWO85VZj7WrEJeW0abdL6lXhs8QZiZxKN1X7w4od+0bSW/lOwsGjE+vsgPJ69btIS+hV7Tz9jSLeQbDu49gbVeC97yeZ/h7dqgbTGXhIjfzQ9Uc+vwmbvD7EoQ6iQqNmDY2kUn99XaH5w/D0FZMMtN6GVrZv8RoLLx5uv4riHA5tDfVRhV09yx953h/C2f3/EjrEl4DXk36WeujD2qh0yl9w1spTTbcHq8pV7HUQOCgNW1r7YYc9MwV1AvfVtNLtlRQ1mAzwu+ZeTuRcECtksya3UbBZ3jSQdBkmYT1k5J63k+wk7RXBEVLf31QeOisZJtZo3lLefrdqUnykX7JujI0eW0ne4s0klOzIuBhTX+3zn4OhnqKPAz4W/2SyZJeUh3wGq1yviwJ5X0THvpUVbZD/muiLjKsmyK/9JsuzXpRLPRp68DaNc6E59MbTOmbEuznhx7nfUzS/nQ2rjhmbjRl6PJ6I2tdGVpNh6rQeA4nL/UsfE6Eqy0JZlohwmWgWn6W48nDl9mdf+E79qIJ/ybPOF/8IjT2SwtLJ/8Fnjzs3la8Gf8CfbBu48tfyGGx/ZSMaGylIUPXatv2p290D6eNKC8F41HXMHTxtqa8hP//UZVjHWGucToR97G2vfhfOjJLffMDHzfPnrgbzbviA9qdCbbTzbJ1aazPcdrrkfDzd1cBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHh/8oYqK/tM7WGfR3eTXygb+u+hu0dRQWAdiD9t3ki968L3ti1/tydgWjoZlOp5mcYVxU02z6IS7PurtGyXDUSIygrT5eoq0ubOqGWHeHpp+rbJq14cdBNp1+ctDzuUJ329PdAQjGZCsnoJREDUDC7zBvxYgoQjl2Pw2U0lmc0rAP8QGCUN8l2Ys5L8dkdjDV1QehBB7Mb87sHOQoRL2iUIJVdSRGGWZMTxUeMrD8FRrBSHRZIV2pKVqdwuwy1WGATSVUHpXZkwKdum/W3jLhj5N7RYM2mROmxRbvy6bJUvSinHsV47mW303WNwhmIvJYOyNo8oYdGinKZAAYIiguh8KZMYHkeIFJA0u8FCPH+KUYERdMY6RTftikQ9nsvmlSu+wQ+EtpklyAdd8zUKz7PfURMNeReEz90UjMR1B56X2v2IVE7antVn5qHmUn+aVJI76G/Kr+6wa0e5AAQpJw1BnjHZjChAzldbAEd0XWM0l2BZvMKLM+jvL5tStL0kE9QbqsYVIVFsJXvoq5jBsGULGGKPQ4WUSwavqjERBHj5LbiPBzHZHIDDHdxJTUXeRglwUGRm6kCIXay8BdVE6qMsQsuG2sPYZYgUcyYoh0Sv1uGFwHVlDhitQKdovTqp7qsokhXeN5Lz4GwbJru+wAoPuV1IBRS0VjpkPi4IKJDltZGYPEXBqdMoUUbj/hoBOYN8rFE+zOOCFmfggpkhhX8Dqk8Y68lFn2boUkq2i9hOwrb27yKmQ+yKBdtNrin49pz2S2Yax2R7pjZY8iDlJmOGANtQmjW43oDIGy0dPaq3wQFoNs8yrMugZrr/aT1Lt73kvMLHkdQ/I/+OpXASe9jeh1Y1Lk0MaM5hwcR92rmEzb5B/mEj3iWuc369BlrNL9hYhm0GvN4/wrG+6n3vx3y2tdFkLzzbjPYYDXaQp9lZ+VREdNvpRer2tvltEveVyrzYvm9TPetwuRq2JSwQOGUwZe30tU8t/itdhRqJi853SSvnS8PtTVQvMaJrFNIZX5mOelUPiVXlPRTB6ktl7a1rEC7Dbgm8Y0Yf4KyhT1upuPmdlAgNUPTE4WVr/oP42h1/t6XsR0wN/p9U3T2WnVIrnbqZO87kb8hV4bG+6lVcisN4dl3yOp6P4c8hqNSz7BMQDRKqLoLoJDKHmQjHCmflkD+QSdCKO7uwZ+4i/4pAw+F4zAa3iBVGH0CEal9KYi3gd+4m1wTK8B7aEsvcInZeqlpsBHvU7jYKq/cZi04AOw5uDaVkvLsue1CNoYwByszbV4CX1+M+YoBJ46gVvLyLdFUZSrdJQFNpjsLYsSpM7XSWSSlDC19F/Qa07Utl6vsk6vC507g9sNQK/XQjpRExUU66JYY7X9qV5LvesCHn5Rxnlvw0dbeFCvyewYvMbass1HOtuUeZ0/aL0WWhdW4q10lDxIba4SooH/zRSovFl3vsNtAGEzuooVCl5l1yH09B4HeO2DMHVudhiMXrfqSP613YWJ/tQ300t5DazZNJlXXroWj3AEUJmYnWsL/m0z7RdAr8NOtpZ65HAutZQDKDvGXoofcpILubyt5NfuQbR4fdv1NQG+yVDxShsLlQMBQi1yG7zysw46i5HkGtdyMZOlIlGZPMVDiDBcDDjz5lXIzFmGzF/tv1wOZsMpfZ86FVGCfWBt9v0EOZb7sU9/AwR49hdSNh0tv5lsjtI3S73Zzpcc3rfNb+YvSHYfjC3nXpb45AKmE+6FYeyZ92p5KqAV9Nr3F28gHcviLcqCXCiKsictVvQskM+9cOEvNJnHwnPmzZh7lryGI4RreOZ6vaNB8TZJUfcVc5Si0HYsMwPA0tAZQ190s7fNW+jrnzRJ0+BNJl/pgui15z3yjcXqGOSQsjMhnaYNy/KK12fwmo8l5Dsj6rWasH7ibi+Zbwmmx+yATghgwzCpE2NqtczQ5HU7e+tnrbeCSfoFZAHnMgF3svgrAISdwbBPVBupGIsYgmW1W4uyJ80+ZsbvyDzmo54gQN/SSM/A0V3q1Yc/0OVv2Y1Ckpgz2d10OyqrVSx56fkCYxNGN2U1W42iIIq2UeOrpy1drVx3IdnCwL1jnxQkeJf91WV/b2H34V6e5mj4+vfO/Kgn84gIyrL3te7KDzZzUpbtGLdl+Vtf3QBNWd6W0x+BLnTkiEEGc3kcPemSsjw/He2+J7ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4PD+PDzDjyzGRe4ODgT3OgPAQlWi3AxQoymQSkNrUzUCfsyRjDRV4h0WJ5G2UYOBtK394dsg9w6W9qVVcmxskfRmBGSsMSIA2Y8lwFGyOgDz6vKpj+7yoAHjUrt+YvuQDHO0da4kYxanldD7PySh7O99Pyzt99EVFY6bJBoyrTSDJQETbprFpLKxIkDfdmAwaYfyh4Dv6O5y9PnxOch29+CxetIMXyqWqYSwNSi53XIAE0vZbazUn4Z/dro4igY68G4D8bbpNvbnpkO2AmJxOCJcPaGwbJvv8lq0sJmYMC0TR/KMhvSx7JHwQhFE//axn3o0NxR4IdZRaCVOwYlVU+Snqv/4emikgKgQKiSR4YdP6PwKNoWo3ppDcaP4UaZz+xfL7fkNbPVABJ/3YY8Sao5EmgVL1/BQL4l4q0uq9/ossIpsHmex8Js+WwIMRMJtIWoZkCXJXEEvMVqEr+x1ZTpuyQAljFrveJOWOAJPc+pd5zK8NqMEby3YKzv235i4oIlvcLMS7+2hNdDMvdms5Z/996M3DS8noOP8dRSPMZ+4fO2LK87uQD/JiSZfDYEEt3idfgGRoz/a+TsdrSnQusgYkk7ZePh1asnzINEhZ5A/8YQv9iK66a8gdd7qnfn8YwPTGkRZk7NvzJjYG2rqyuqwS9rQt0HWcOYXHnToJvgcavXLBQvv5h8A+8lWFq8ltfRQWOyoXvQ50vRH7TAkAuVwIJRr6F/Y+RLob3oeH3vPQYUcebQuGEepHgXdLH2yodFkYGruJ7rAFv4YpauJnsTUavUU5AoKL2l132+myE8B38oF7rQrXjNrJRlzKQOXX6zA72O89Srd5LfTJihCXB1wF6EeY0/aBD0RO5RCm+o18QD9Lr1Ed7AN/CPwch6xG1ekxYtrwFTVvRaCr3PmXQMKNv6ZimHXo+45hLQB9QvH/ObEXTWodCLIvWW5XrNZMNj2HBf8nsCWJmChkJv8vqWEzbQ6TXAtH3g36KT7jZfUYvWhgOmrKhCVa7LMvtCrwnwWtvwlR76acmJv4F7L6Uugdd93sLgLmrumkZ4DrHWK0e6Ehpj6PVb/lDXNbQDmvwX9Zo5NFoP6U3b5UnHa9jl+C66a6JG9woy2ZadtPM1cxJrnKTXmtdRDaWu8c1OdkaBL9lfDvWamTuAjLyOMWnKyOKaywJZoI3Baw3mMC+xhMl29B3I6xvnLex8M8Do6hMsmc5vVntrnfPKlLH1up2vVSlUCk/IPdvN7QZw1fp0U2MAg5MEKeQ1DSf0OvVzpvzQyTRowu19UxAgHTHLNSfHBjyes3Em4rmxDed8bS5FV6nX4Xwu0g3ferV5JGl0Gkrqdbv87PTaACvsM/RaA7we10WD0ZIGwOs2+d7Mj+On+Enn7nifTw7MGGV9bcBl/B14/UJe34HVI7Z1DAfzNXSVTH6utCUDa/K3hZBGu2+WXveGXgNkPWm+tgt1S7CRACc7FLeb87XRa6Zrb5f1W4zBzv1BIzuiA4FljdhwyXUcZbfdNyNsvaaNFbssqbXlLXW1naK7/GaCtqwB3n7Nt3d63ardWOj6lNTw++tlPfXSyNIlkN3k4ovhPdT1L8xdY+yHb9D0UqqHFeHWPN5CzLxb5jdjrlG0CTJAwoJlHWKizmpwGUQibV4O9rjzJQrzdqK2dR2+mLIFiVgvsU79fPZJQnHGshqaXcrYl4+j8lp+78Oo6TPMF/FoP9Tj732YB1ux/tgrxrCqb39M7bBqEC3jAWHqvqVe94+CKuaBb/FGA6PRLzaf5WGWoLHKrujPCZZf5DSi36lRy+65YMw1V5w/5N1kDNcDyA6ebNzV3QPrCVfW6VjPr/1cRG2W51TkJCcpM/vx8A3Ax/kP8hwZOqmfWOMt+xDlkHkv7GmlfF2QJXRZvH/A36LJye36y+fX8pBbvlX7d1I96h83oZiNuA7D0Nbqd1iH1ZjEL9B6L0l5GI69i3QOEnTuxERz2zA828X6g+rlV3YcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHBwcHByuDT9Jku4oM677vDgaMe+ZlGOHhUeANGaueTlmW/8e4vDV8yoTpsfEKfM8ji1275mMyIv0rUmONyMGTupogwBtxbE/RVuMtXG4Ekx0yf9VZKDO+DSf2jHA5Yz3Up2MSYe1jPdb8/mLNLZTapfpUJlRwxb/LfhgdRHsSjAwkCRszW4JYvcBW+vUmwbB76nHAOQctA8aD3fMp1cGrEYVBFvvXsdzlQEaXDozfiUwWC0Cy+WlkRh6hmvmXTALZIGRgwwCj8lqUL608hVdE/EKjdBkbH0VhN68jJnywTsxrsbhK5jcRgvM2RGYLElKGD/YWWkTEYyXmnIhYX0ptJuvV0b8qllN3KMtBv4GOiTc4Qog/+CLwYaHyRqGnITFmz4PEvS6ChgAnzaUC8b1PWFWHyNWc5J6OxVHIkYlXUS8Rt7spkG5/8tgkgQvxxSc+Xa+FBNcD2C+9tJt5j2WYgMkbyG8phF4zVygRVJ4L1us+hqTv5c2ZiTn4N9DXGGVo5ls5Uux8puR2QAUegMel7EfJ7gzQmTuTnxwQQAbLul6/kYepP9hxBLkncIDYr6ULr+ZiuUP62udMoDM9TNvxhRAeDuCXvc5DcRNdHp9fTykXg5PqHoSG97pdcEUXUvQu8m8LMJ/nKmTqebFKLzmKqtIdkmUYv0XeVNJk3LgJzp8Cz4c7AefuhtumBeZygS9TmUepyt8n3kpfDP8n5qdRHdRhDXXagT6U6+ZQWLyiBkj+nt5C/9nAQIzr0dczL0tGD4lr2m0/W1ZFuX9Hn54RQZsKyu5UzoK+X32ga+YI6LISyUhTwBdH+VHCP5BgNfaDcu8bVBpZWp0elKNus272Cdjamay9Lo+MpG7PXjd8NcRwGM/99L2sYvDNwFel7tYBZgkZd9sG+yC3Hs0nwK1F+4SleyW5HUSADD10z/m06vimb+wEGCq9rLfu8ybR0HwoFPaOVwDTHzvFVxRp1ulf8ACCPv0cXDYdMp7L5dMoUSWjJJerkvyBQdBfttF0OXydvguhNlAGuzVfivPtLzaMpucyT0uwYuJZN0FJPnwGIj5EzLoChfUO08vt0PH6uvBpyuemQMCCRzulX/Ay9in1t/LCQb+hE844vmB5yRHV6T+SfIHjK83zoJfFZtg2y+hdkd+D2u73ZqHnMl2Oy7xF4HVlWDLrR2HfwM3TDvr4ODg4ODg4ODg4ODg4ODg4ODg4ODwvwSl/h91C+eMGQ3y6QAAAABJRU5ErkJggg==)
For such questions, we should know the formula to find a median
The median from the following data is
![](data:image/png;base64,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)
Maths-General
For such questions, we should know the formula to find a median
Maths-
What is the surface area of a triangular pyramid. with slant height 12 cm base area 24 cm2 and primater 36 cm
What is the surface area of a triangular pyramid. with slant height 12 cm base area 24 cm2 and primater 36 cm
Maths-General
Maths-
John scored following marks in Term 1: 45, 50, 42, 38, 40, Find his mean deviation
John scored following marks in Term 1: 45, 50, 42, 38, 40, Find his mean deviation
Maths-General
Maths-
Find MAD for first 3 multiplesof 5
Find MAD for first 3 multiplesof 5
Maths-General
Maths-
Calculate MAD for first five whole numbers
Calculate MAD for first five whole numbers
Maths-General
Maths-
Calculate MAD for first six natural numbers
Calculate MAD for first six natural numbers
Maths-General
Maths-
Find MAD for first five add numbers.
Find MAD for first five add numbers.
Maths-General
Maths-
A signal which can be green or red with probability
and
respectively, is received by station
and then transmitted to station 8 The probability of each station receiving the signal correctly is
the signal received at staTtion8 is green, then the probability that the original signal was green is
A signal which can be green or red with probability
and
respectively, is received by station
and then transmitted to station 8 The probability of each station receiving the signal correctly is
the signal received at staTtion8 is green, then the probability that the original signal was green is
Maths-General
Maths-
A frequency distribution
has arithmetic mean 7.85, then missing term is
For such questions, we need the the formula for arithmetic mean.
A frequency distribution
has arithmetic mean 7.85, then missing term is
Maths-General
For such questions, we need the the formula for arithmetic mean.
Maths-
Which of the following satisfies subtraction priority of equality.
Which of the following satisfies subtraction priority of equality.
Maths-General
Maths-
Calculate the mad for first 5 prime numbers.
Calculate the mad for first 5 prime numbers.
Maths-General