Maths-
General
Easy
Question
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only coffee?
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)
- 10
- 20
- 30
- 40
Hint:
People who like coffee and people who like only coffee are two different statements.
The correct answer is: 20
Related Questions to study
Maths-
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only tea?
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)
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only tea?
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)
Maths-General
Maths-
If n(A)=10, n(B)=20,c=5 in the given Veen diagram. Find a and b.
![](data:image/png;base64,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)
If n(A)=10, n(B)=20,c=5 in the given Veen diagram. Find a and b.
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following statement is correct?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWwAAADlCAYAAAB3V80dAAAgAElEQVR4nO3d2W8bSbr3+W+uTO77JkqUZct2VXWf9wXOwTTOzGAwf/u5mZsGzlJAtZeybO1cxH1NMre5kJllV9faXRaZ4vMBVIDLsB2igj9GRjwRoQRBECCEEGLnqdtugBBCiN9GAlsIISJCAlsIISJCAlsIISJCAlsIISJCAlsIISJCAlsIISJCAlsIISJC//QXQRDg+z6e5+F5Hr7vb6tdQggRCYqioOs6uq6jql92DPxZYK9WK/r9Hr1ej+l0ynq9xvdBUb5oG4QQIpJ838c0TcrlMrVanXQ6ja7rXywzPwvs6XTCu3fvuLm5YbVaAaAoGopyP/oWQghxP6oGsG0bgOFwhOf5HB42yGSyaNqXGWl/Ftjj8YTLyyuGwwGFQpF8Pk8sZgGBTI8IIcRHm6mP8XjMaDRiOBzQasVJp1Mkk0k0zfwi/+7fTYnMZjNAoVwuc3R0RDqdJggCPM/7Ig0QQoio0TQNgF6vx+XlJcPhkPl8jm3bX3Rwq3/+yx8mz3O5POVymUwmQxAEMiUihBAfqapKEAQoisJkMmG5XH4cdX/ZnPwssBXlhxVPy4oRj8eJxWJftAFCCBFViUQCy7I+qRD5shUavzgzrkh5iBBC/KyHzshfDGyZBhFCiN0hOx2FEOIf9NCDWglsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICAlsIYSICH3bDRBCPAzP88Iv13VZr9d4nvebbv42DAPTNDEMA1VV0TQNVZXx3kOTwBbikXNdF9u2sW2b1WrFarVisVgwnU5ZLpd4noeiKH/354IgQFEUVFUlkUiQzWZJJpPouo5lWSSTSUzT/Mk/K76MvQ7sIAjCEcZ6vWaxWOA4Dr7v/+qfVVUVwzBIJBIYhoGiKDLqEDthM4J2HIflcsl8Pme5XLJYLMLQXiwWzGaz3xTYmqaRSCTIZDLE43F0XSeVSpFOpzFNk1gsFoa3pmkS4F/QXgV2EATh45/rumEH9n2f6XRKr9djNpvhed6v/l2bTlsqlUgmkyiKgmVZpNPpsNNKxxUPyXEcVqsVy+US27aZzWb0+33G43E4UvZ9nyAI8H0fy7KIxWK/OkBRVRVVVXFdl9lsRhAETCYTFEUhCALS6TTVapVsNotpmmGIa5r2QN/5/tibwHZdN+zMm449m83CwB6Px3Q6HSaTCa7r/urfZxgGmUyGxWJBOp0OAzuXy5FIJMKOq+s6ur43L7PYAt/3w4CeTCbMZjMWiwWTyYR2u81isaBQKFAqlYjH48RiMUzTxLKs8OnwlwRBEL531us1q9WK8XhMv99nPpuTTCWxbZt8Ph9OlWQyGZLJJLFY7IFehf3wqJNkM5JYrVbM53N6vR6dTofBYIDnecTjcRKJBHD/GJlOp7EsKxxx/Nq8nmEYeJ7HYrHA9306nQ7v3r0jk8lQLpfJZDKk02kSiYSMOMQXEQQBs9mMVqtFq9ViPp+j6zqapoWj32w2S6lUolKpkEwmw9BOJBK/eQpvM2W4Xq+xbZvBYEAsFmM6maKoCo7j0O/38X0fRVHI5XLU63XK5TKWZcnT5h/k0Qb2p/N3m69ut8vl5SW3t7cYhsHp6SmVSgVN04jFYqRSqd8crJtRx2QywXEcXNdlOBxyfn5OIpFguVxSKBRIpVIkEgnS6TSpVIp4PC7BLf5pvu/jOA6LxYJOp8PFxQW3t7coisLBwQGFQiGcW06lUmGVh67r4RTH7wnRzZ/1fR/f9ykWizSbTVz3fsAyHo8YjUaMx2PG4zGj0YjVaoXjOBSLxXCxUoL7n/MoA3szxXF1dcX5+TnL5ZJcLkc8HqdWq4XBeXR0RLVaRdO0cP759ywabuby1us1ruui6zqxWAzX9bAsi/Xa4fz8gul0QiaT4dmzZxwdHZHJZL7gdy8euyAIWNk27U6Hy4sLer0efhBQLBQoFItUKhVyuRyWZf2hfW0T9HAf4Mlk8mN7YDTKkM1mmU6njMdjer0+FxcXtNsdjo4OOT4+plwuYxjGH9aeffSoAnsz9XHfYXrc3NxwfX2NoigUCgWazSaZTCacw9uMNoB/aJFQUZTwDREEAeVyma+++orpdBaO6qfTCf1+n9FojKqqeJ5HuVwOH02lA4vfY7FYMBoOmU6n3LZaXF9d4fs+x8fHPHv2jGqtFlYrPdRoVlEgl8uRyWQIggDXdfnw4Zxvv/2Wfr+Pqt6/txzHIZVKkUwmsSzrQdr22DyawPZ9n+FwyLt377i4uMBxHHK5HN988004p1ypVMI56z/K5k2xmdfWdZ14PI5tp7HtFZZlUa1WGQwGTKdT/vu//5tMJsPx8THHx8fk83l5TBS/2fXVFa9evWJp28Tjcaq1GsVikYN6nXKlsrUF7k35H9xXUDWbR6iqSr/fY7lccnd3R6/XI5fLcXx8zMHBgUwN/gMiH9jOes1iuWQ4HNLtdul0OiwWCzKZDE+ePOH09JRUKvXg7bIs62PVSJbT02fc3fV4+/YNHz58YDQahfOBi8WCYrFIPB5/8DaK6FitVlxeXvL6zRvuej0SiQSVSoXj42MqWwzqn5NMJnn58gWOc0K73eb8/Dx8f242VlYqFaki+Z1266f8O3mex3A04urqim63i+d5FItFnj17RrFYJJfLbSWsf0qxWOCbb76hVqt9nCIZcXl5yXA45OTkhKOjI0zT3HYzxY66urrir3/9K4vFgpOTE5rNJuVymVQqtXNh/SnDMKhWqyQSCYrFIre3t9zd3bFer/H9gOPj5rabGCm7+5P+FavVin6/z83NDXd3d/i+Tz6f5+joiHq9vnNzw6qqks/nyefzVCoVbm5vub6+ZrlYcHl5ie/7NBqNP3zKRkSb67qcnZ3x3XffMZ/PaTQafP311xwcHGy7ab+ZaZoUi0VSqRSmaXJ+fs50OuX8/ANB4FMoFMK9DOKXRTKw1+s1d3d3XF1dMRyNiFkW9VqNcrlMNpvdubD+sXQ6zfHxMZlMhtbHEcfV1RWqqlKtVsPSQtnmvt9c1+Xm5ob/+q//YjKZ8OLFC168eEG5XN520/4hsViMer2Oruvc3NwyGPR5/fo1h4eHYUGA+GWRC2zbtmm321xdXTGdToknEtRrNWq1GtlsNjKf0nHLwqhU0DUNXdfDKZLLqyvSqRTNZpNKpbLtZootCYKAt2/f8vr1a9brNScnJzx//px6vR6ZPv5TkslkOBjxPJdut8v79+9RFIWXL1/u9PTOLojUq7NarWi1WlxdXTGZTEin0xwcHFCtVsPzPKJE17RwO2+73eb84oIPHz5gfKznlsDeT8vlkm63y9u3bxmNRpyenvL111+Ty+Ui18d/imVZlMvl8FyTTqfD9fU12WyWcrksC5G/IDKBbds2t7e3XF5eMp/PyWQyNBqN8PClqJYIGYaBpmlUq9X7qZ5uN9wxZtu21KvuGc/zOD8/582bN9i2zYsXL3j69CmFQiGyffyn/Di0R6MRb968wXEcTk5Ott28nbXzgb05C6Tb7YbTINlslkajQbVafRRbvVVVJZ1O02g0WC6X4fd5dXXF4eGhlPztiU298tXVFfP5jEbjMBxZR72P/5iiKCQSCarVKoqi4Loud3d3xGIx8vn8zle/bMvOr2q5rhvWcU6nUzKZDIeHh1QqlUcR1huqqpJKpTg5OeH09BRFUTg/P+fq6io8XEo8XkEQ0Ov1ePXqFePxmOPjJzx//pxsNvto+viPKYpCPB6nVCpRq9VIJpMMBgPOz8+ZTCbbbt5OikRg39zc0G63sSyLg4MGlUqFVCr16DqyYRjhFvp6vY5t23z77bdhSZd4vFzXpdfr8+HDB2x7xdFRk2q1+uhHmaqqkkwmqVar1Go1ZrMZr1+/5u7ubttN20k7Hdiu6zIajRgMBiiKQqVy/0ONx+OPYvHlp2ymR5rNJrlcjuvra16/fi0jjkfM8zwmkwmj0Yj1ek08HieXyz36sN5QVZVMJkOtVkPXdbrdLnfdLs56/Zvum9wnOxvYruuGx0b6vk+5XKZcjvYC42+laVq4Yp5MJsObPlar1babJv5gQRAwn89pt9tMp1Py+Tz1eh3L2q9KiVgsRjabpVAoYJomw+GQdruNbdvbbtpO2dmPcNu2OT8/5/LykmKxyJMnT8jlcqjq4xxZ/5iqqlQqFf70pz8xGo2YTCYMh0NKpdLejLweuyAIsG2bfr9Pq9XCde8rJJ48OX70g5KfEo/HefLkCY7jMJ1MODs7QzcMuQDhEzs3wt5cDLA5zGk+n4e3V+xbiVs2m+VPf/oTh4eHTKdT2u02s9kM13XlUfERWK/XYT+fTCYkEgmazf2Yu/4puq5zeHjI6ekpqqZx22rR692f9ieL7vd2LrA9z2MwGHB9fc16vaZSqVCtVvfyU3YzNZLNZnEch16vR6/XY7FYSGBHXBAELJdLOp0O3W43rMUvFot7GdZAeC9qpVK57/Pu/U7Ifr8v04Ef7VxgO44T7nxKJBK8fPmSYrG47WZtVTweJ5vNsl6vabVaDIdDHMfZdrPEP8HzPGazGe12m36/TzKZ5ODgYO+eIn+KZVnU63Uy6TT9fp/r62sZpHy0c4Htui7j8ZjhcIhlWRweHoZXEe2rzYUHuq7TarW4u7tjtVpJB46w+7sQl/T7fcbjMfF4/NHtZvxHGYYRjrLH4zHtdpvlcin9nR0L7CAICPwABQXDMMLrhPZtKuTHNtt4NzXp3W5X5vUiznHubx+/3/H3w0W54n7BfTMVuHkSWUuJH7BDVSL3F4ve38moaVp4VKr4wXq9ZjqdMplMWCwWuK4rI7II2hy34DhrMpkMxWKJXC6/7WbtFNM0SaczWJaFqqrhbe373t93JrAd16HdbvP+/Xts26bRuN/RGATB3o+wNxqNBvP5PDyONZPJoOv63nfiqPF9H8dx8H2fZDJJJpMhmZSLKz61WYDcnKPj+z6e5+39U8jOTIk4a4fb21v+59v/od1pUyqVKBQKEtYf6brON998w1/+8hdyuRyj0Sgs8RPRsakO2ZzIuAltuR7u71nW/UFQuq4zHA4ZDAas1+ttN2urdiawfc9naS8Zj8fh9ly5ceVzmzMXLMvCcZyP9+LJPHaUbMpWP3z4wPv371mtVnIJ889Ip9M8efIE0zQ5Ozvj7OyMyWSy131+JxLR930c10HXdYrFIoVCYW9rUX+N7/vYts1kMmE6nUq1SMT4vs9sNuP29pabmxtWqxWZTGbvH/V/SjweDzcRtVotbm9v936xfScC23VdVqsVhmFwcHDAwcGBdOCf4TgOw+GQVqtFt9tlNpvtdQeOKkVR0DQNTdNk2u8XqKoaXikmr9OOLDoGQUAQBJimSTabJZ1Oy3TIz3Bdl8lkwmAwYDqdygaaiNkcK5DNZtF1PbIX6j4UXdfDhdnNpqJ9fqLcicDejLAdx0HTNAzDkE/Tn6FpGvF4nEQi8fEiUw/P86RSJCLW6zWe55HNZqlWqzQaja397AIA/77/+J6H5wcEKPDxvwCoGpqmo+kq2hbek5ZlhfsxNE27b+seP1FuPbDX6zWDwYCLiwum0ynlcnmvz1P4NclkkufPnxOLxdB1nclkEtauS2jvtiAIwjsMLcsKr8La5tOkv5ox6d1y3R3SXSgoZoKUpWL6M+bTKfO1SixR5qBxSKOaJWk97PtSURRM08QwDHnqZkcCu9+/v2nD931OTk4olUrbD5/NY5cS/mcnxONxXr58iWmaXF9fMx6PmU6nJBKJ7b9m4hdtHuVVVd2JOVkFCNZzZr33vHl7xd+GFla2xrNqkpzSp39zzvntjAVlnn/9v/m//vI1J/Xsg78bNlOmYgcWHT3PY7VahRUPpmluPXgC38dZL1nOJ8zmE+arJWvfw2f7nWZzO8fmRpL1eh0+ZovoUBRlJ0JIUT0CVixWS0a2h63EiWfLVKoN6sUcZmBze/WeV9+/ozOY7MA7YL9tfYQNhI+JQRDsxGOP77ssxj16d3dMHNDTRUrlCoVUnNj2mwcQVhdstuyKaNn0922Htqpp6KaOoga4qwWLyZDpyGLueTiuhqboGIaHJkVbO2EnAnvzaLgro47AXTEdtPnw9i1XQwej/ISXX8dJmBYxa3emR+D+Ndv2o7WILmVTMufZ2IM7JoMpr+ZtBklwJn3uxmvShRLN5gG5bGKHJgf3004ENrBDoePhr+fMxgNurq95ezNH6wXE02UahQxZazd2pO3CB5t4DFRQlPtqEXvOYrWmr64J4gHObMp8rZDKxkilk5iGTsAurejsnx15wN8h/gp3NcXxAzxVx3ddZoMed60Ww8kcOblD/FF2Y5ASgAKqHsNM5cmUD6gfNTluHnJ0UCKbNFhNxty1u4ymc9YyTtgqCexPBQGuPWO5WuKbcbKVKrVKnqRqMxu06fRHjOwAmTEW/6xPpwG3KvBRAlBiSRLlQw5O/8y//Otf+Pf/89/59//jX3jWyOMOOly8fstNe8DcRxYet2hnAnsnHvEDj/l0wmA8ZeEppHJ5DqoZ8pbLcnzHZavLTX/JegcKMrb+Rhe/2+ZntjkqdLPYvk2+7+G5Lq4P6AnimQLFygH1xhGNepVCMkYwnzDu3jGZzVltabQi/f3ezsxh7wLPuz9UqX03YrxSUDwPy4CYtqY3HXB+eUOxeshRvoGVkJpn8ftsFoiDIGC1WrFYLLZ+eJfnuKwWNvZkwmLoMjLStG5MkraK2+8wnizQTYtsNkMyEUN74NzcbDbahQ+3XbD1wN504k053/Z+KC7uasJ4OuGuP2W2CojpoLoefhBgzyaMLi+4rTWYPC1RSGz3wPnNCE1GHtGyuXBitVph2zbpdJpqtbqdxgQB69Wa2WTGctBn0emxGM/5dn5LN+HjzQYMexOMfJnDF6ccVoskH/iZ3PM8bNvGtm0sy9r7qqitB7aqqpimSSKRIAiC8HCch/6h+PaM6bDHbL7Ex8A0NZKWjmJq5PJLMoNb7EGbUeuc3vgp1UKC+Bb6TRAE2LbNfD7H930sy5JtuxGi6zqGYWDbdnhrkOd5WzuKwQ90VD1NIVvgaL5i7vv4izFj2yFw1ujpAs16k5d//pqjaoGk+rBVIuv1msViwWKxCLfx73Nf33pga5pGMpmkVCqxWq1YrVbMZjNSqdQDhnbAdDSic91mufDIl2pksnmK2QQKLoN8Dt328F9/YHl3zdVdj0q9xGFcf/BFgPV6TafT4e7uDrg/W8SyLDl7JSI2W9JXqxXD4XC7x+MqCmYyT+Xkf/GvmSNOZg62G6AooAbe/WXYVoJMsUy5UqaYfvg6bMdxsG07vKxDRtjbboCuk81mqdfrjEaj8PqkeDz+YCEUuGsGdwOur/vYaoJKpchB84h6IYkKFGMqzl2XcbtNezHh9uqWer1OsZEnqT1sZNu2zcXFBdfX1x/vAkzKOSIRoqpqOMrWNC2833FbN86YySzlZIZSE/hk92WAgqKoqKqCuqWAdF2XxWKB57nEYrEHzYRdtfVnC13XSaVSlEolUqkUy+WSyWTygHcVBvhrm+VyxWwVsPRUfEUD5YeXJpZIkqtWqDQPyaQTuOMxs8GApeM+eInTer2m3W7T6XRwXRfLssK5PbH7FEUhkUhQKBTCUynvQ2k7pUf3I1YVVVFRPx6lqusGhq6ja+rWwhpgtVoxGAzwPJ9yuUy5XCYWi8mUyDYpioJhGCQSCQzDYDQasVgsHvYxUdXIFss0n2l4ukUhnyFmqHiAEvgosTiF5lO+MpMURwv8WJpKOo6hPnxn9n2f9XqN67qoqhqO1EQ0qKpKKpWiVquFc9ez2YxMJkNiywvZu2a5XHJzc4ttrzg8bHBwcEA8Ht/rwcnWAxt+uAbIcRxGoxGxWOwBq0UUtFiCavOYYuMIPl7dpKoqKqAoKoaVothIkK8d8cz3AQVV0zAM/cHn9AzDIJVKkc1mSaVSctt2xKiqSiKRoFgsslwuGQwGdLtdksmUBPYngiBgMpnSbrdRVZV8Pk+pVNr7/r5Tgb1YLLi6ugprLx+MoqIbKvrPnEimKOr9jRu6zrYPLUskEmSzWVzXJZvNYlnWXj8iRtHm2qtYLMZgMKDdbpNOp6nXa9tu2s5YrVaMhkOm0ynpdJpYzMQ0zb0eXcMOzGHDD6V98Xgc0zRZr9dMJhO5r/ATQRAwnU5ptVoAlEolCoXC3j8iRpWu66iqymQyodVqMZvNtt2knRFuLFougABd14DdOMlz23ZihA0Qi8U4PDwM6y5brRaaplGtViWQuF8xf/XqFe/evSMej/P06VPy+fzePyJG1Wb94dNqEXEvCALWjoPne1gfq0M0bWeiaqt2YoQN9yOOSqXCV199RalUYjgcMplMtt2sneF5Hufn53z33XdMp9OwnE+mQ6Jps/+gXq9TLpdZLpd07+4kuD9qt9v0+31y+TyNRoNkMikDN3ZohL2pFonFYgDM53Ns295yq3bLZgfopo5Xwjq6NE0jk8nw5MkTdF1nPp/z/v17dE2jUChsu3lbEwQB4/GY8w8fGA6HvHz5FScnTx94I93u2pnAhh8uJ51NZ7TbbUrFkvyQPlJVlXQ6TblcJp/Py2JjxCmKQjwep16voygKFxcX9O7uMA0D13UpFAp7t0nE931arRYXFxdMp1NKhRKNgwOKxYL09Y926lVQVRVVu9+666wdhsMho9HoATfR7KbNIkyhUOD09JRGo0EikZAPs4jTNI1UKkWlUqFerxMEAd9//z3n5+d7eamybdu8f/+eV69eEY/H+fqbrymXyxLWn9i5V8I0TOr1Os3jJovFgu+++45er7ftZm3VYrGg1+uRSCQ4PT2lXq/v/Y6vx0D5WPO/2elrWRa9Xo9ut7t3c9mu6zKdTun3+8znc3K53P3ctdSmf2bnnrkMw6Bx2EDTNb777js+fPhAIpEgl8thmuZehZSzXjObz+l2u+FuuGq1KmcqPDKb83Ty+TyGYTCdTun1elSr1b2pAppMJlxdXbFYLCiVStRqNZLJ5LabtXN2Lv02I456vU6lUsEwDPr9Pu12e+8WISeTCX/77jvO3r3DdV2SySTxeBzDMGQ65BFRFAXLsiiVShwcHABwfn7O3Z5UjTiOQ7fb5fLyEkVRODk5oVKpbLtZO2knh2mb8xaePn2KoihcX1/z/fffE4/H92r77mQy4dWrV/i+z+HREdlsVkbWj5SqqpRKJU5PTzk7O+P29hb4YfQdi8Ue5Ye0bS/pdO7DejqdUqvVODk5IZvNbrtpO2nnRtgbiqJQq9U4OjrCdV2ur6/p9/t7s/vR932WyyXr9RrTNMnlcrLQ+Mglk0kODw85OjoiFotxc3PD27dv6ff7j3KXn+u43N31eP/+PcPhkEKhQLPZDE8xFH9vZwMb7kM7nU6TSqVwXZdut0uv12O9Xm+7aV+U53mMx2Mcx6F5fMzz58/JZrMS1o+coiikUimOj495+vQp6/WaN2/e0ul0Hl3ViO8HjMcTbm9btFotVFXl2bNnHB4eYhjbPrFnd+38x5hpmjx58gRVVRmNRnz48AGAYrH4KBdkVqsVo9GIfr+PD3z11Vfk8/m9mgrad9lslqdPn3J5eflxqmDGYrEIL6qI+sK767qMxxNa7RbD4RDDMDg4OKDZbJJKpbbdvJ2284FtWRbPnj0jFovx/fff0+l0wkW3YrH4qD6NV6sVNzc3tFotXNcND21Pp9ORf5OK3ycej3N4eAjcV071er3w3PhUKoVlWVtu4T9mcylBp9Oh3++jqgrNZpPDw0MZlPwGOx/YqqqGc3ue53F2dsbl5SW+76PrOvl8/lEc4O95HoPBgG+//Zbz83NOT0/56quvSCaTEtZ7SFVVms0m6XSa+XzO5eUlk8mEfD7P06dPqVQqkXvC3NxHel8B00XXDRqNBkdHRxQKspvxt9j5wN5IJpM8f/4c27b5/vvvabVaxGIxPM8La7SjOMe7uUFmc3Tq7e0t0+k03EzxGD6MxO+nKEo4FdbpdGi1WnS7XcbjMZqmoSgK5XI5MqHtOA6dToeLiwtub28JgoBisUS9XqdQKDyqJ+UvKTKBDfePhoeHh8znc1qtFu/enTGbzTg+PqZcLkfuMdH3g3AXY7vdZjAYUCqVePbsGaenpxLWe25Tn10sFnn27BmpVIrr62vOz89xHAdFUahUKjtfUeF5Hu12m3fv3tHpdIjH4zSbTSqVyqOb1vzSdvsn/RPy+Tynp6eoqkq73aHT6YY31FQqla3dPv17BQHMZjO63S6dTpvxeEwsFuPp06c0m02ZzxOhVCrF6elpOM/77t077u7uCIKATqdDLpcjnU7v1PSg53l0Oh0mkwm2bdPv95lMJqRSKZ48ecLz58/DkznFbxe5wDYMIxxNFwpFLi8vwh1hvu9zcHCw8x3h09tj2u02y+WSXC7H4eEh5XI5Mh864mFZlsXp6SmxWCwcaU+nU7LZLC9fvuTly5fk8/ltNxOA4XDIt99+y5s3bwiCgEKhwMnJCUdHR+Ht5+L3i1xgA+FiYzKZRNc1Li8vGQ6H9+fonp+Ty+WoVCpUq9WdelycTqfc3d1xd3fHbDZjuVyG38vh4SH1el0WXsQvSqfTYdWU7/sEQYBt21xeXrJer2k2mxwcHGxtbns8HtPpdLi5uaHb7YZFA41Gg5OTExqNRiTXmnbF7qTZP8A0TY6PjzFNk7OzM87Oznj79i3pdJrT01OCIKBcLm/9sH/f95lOZ1xfX/Hu3Tuur6/xPC+cr37y5AnFYlHCWvwmsViMo6MjSqUS4/GYVqvF9fU1Z2dnTCYTfN8Pg/H+S0X7eGzxH8n3fTzPB4LwqfHy8oI3b96yWCyo1Wr827/9G4VCISxFlLD+50Q6sOE+tHIEdJ4AAAmBSURBVGu1Gp7noWkad3d3rNdr7u7uWCwW4ei12WxuJRBd1+Xq6orb21sGgyGr1ZpyuUwiEadSqdJoHMpWXPG7meb9LeLZbJZsNotlxbm+vmIymfDXv/6V//zP/0TTNBKJBKVSmXq99ocuUG4+KEajMaPR/e3mruuiqiq+71Ov13n+/Hl4o474YzyKV9I0TY6OjqjV6mHVxcXFOZ1Oh/F4zGq1YrVakc1mMQwDXdfRdZ14PP6HhngQ3Fd9rFYrXNfFdV2GwyGtVovxeIxhmDSbTer12sc3mRW2RYh/VDab5cWLFxSLBc7Oznjz5g2dTgdN08hmsx+n3xaMx2NSqVTY5zYXAP/aqDcIAlzXZb1e47ouq9WK4XDI3d0d4/GYbrdLv98nFovx7NlTXrx4wdHREblcTvr2H+xRvJqb+yDvd4LFsSwrPDBpuVwwmUz5j//4D4IgoFqtksvlyOVyNJvNP/T+vOl0yvv372m1WuGHxeYJoFqtUigUKRaL5HJZWXQRf6h43KJcLuP7AaZpcnh4hKIQ7k/o9/u8ffuW+XyOqqoUi0VKpRKpVOpnK0sURSEIAjzPYzQa0W63GQ6HaJpGsVikUqnQaBxQKpVYLm1isfu+XqvVKBTyctP5F/AoX9FEIvFxNbrEfD7j7Ow9FxcXTCaTcFThui7L5TKsAU0mk2Sz2XDUvemsP/ZpJ7Ztm9FoFL4JNoc2jcdj+v0+w+GQcrkc1tHm8/nIbvARu28zOCiViriuRxD44aW2Hz58CGv9N3Pbm/fBZhT84/6+6aeu69Lv9+n3+wwGA+LxOLVajYODg092XCpomho+wWqarMd8CY8ysFVVQVV1dD31cTU9wDAMZrMZiUSCTCbDfD7n7du3vHv3jvV6TaPR4Pnz5+HusV8KbN/3w0PXv//+e66vrzFNk+fPn/P8+XNKpfsdXJtpmEajEV6cK8SXoigKpmlgmj9sRAmCILypKZ1OM5lMCIKAeDyOaZrouv6r04Kb3cSHh4c4joNhGFQqFWq1Gul0WqY9HtCjfqXvO7BJpVIhk8mEZ2kbhsFkMgkPiQ+CAMdxWC6XzOdzXNf9xcD2PA/HcbBtG8/zCIIgfBMcHByQzWbD4zANwyAWi0mnFluhKAqJRALDMCgUCriuSxAE4cDjt9j0782Tp6qqYb+WyqaHtRcpouv63x3baJom33zzDdlsFtd1icViYenRr4XrZmdlMpmkWCzy9ddfo2kaBwcHkdwiLx6/zRqPiLa9COyfcr8wc0ipVML3/XBebzOK+DWbUccmvDfnPkhYCyG+lL0NbLg/c1i2gQshokImoIQQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiIksIUQIiL0bTdACLHnggA/8PF9D98HUFFVFU1TURSAgMD38XyfIABFUVFVBUXZ/P7+kMAWQmxPEOC7Dotpn+Ggy11/jaNkKVdL1GtZrJiG4tnY8zG9/oSZ7ROzUuRyWVLJBKapbfs7eFAS2EKIrfI9h8W4zc37b/nv11NmQZP//a/fUCylsWIa+A6r2YDW5Tnt4ZpMvgaqRtyKARLYQgjxMBQFCPDdBYtJh4vrAT0/ztFzG1UBBUDVCAKwF1PmoylmLInvuVtu+HbIoqMQYqsUTcMwVExDxVFg7kOgKZjGx9GzaqLHUlgxi4SpEI8pmKaKpu3ZBDYywhZCbJmqapixGIlkinh6hbmOY1omhv5xPKnoGLE0yVSGbGZBOhXDiulo+v6NNyWwhRBbpyoauqaj6zq6r6GpKmo4gFZQVR1dMzAMHV3XUMP5kv2yfx9RQoidEwQBvu8T+D6BHxAEQPD57we+j+8F+D/x+/tCAlsIsRMC7kPb932C4EdpHNyHdBAoBL7yMbD3b4gtgS2E2D4FAhSctYu9WOE47mdTHkHg4bkKrmsQ+Br7Gl37+V0LIXaGoihouomux/CdNYvRgMl4wmzlA+A7CxbTMfOly8qz8NU4iqqzd9sckcAWQmybomLE0iRSReKBw6r3gaubG9735gzmK0bdW1qXZ3RHU2ZaBi+WRdEtlD0MbKkSEUJsl6KiWzlypSYvnjToDT+wnHb49rvXDLI6sVmL6WjIWsmTLBdJ5vOYMXMfB9gS2EKIbVNAT5ApP+H//n//H0rVGu9aAy7+5//jRgnIpeKUKwfUjppUG1WK+SRxU93Hqj4JbCHEDlA0zESG46//hXKlQu5vr3j99py57ZAuVKken3LSbFDOJzH0/To/5FMS2EKIHWKQKNT4+l/iHBy/wPV8jFicRCpDMhHb67AGCWwhxK5RdNK5Iulccdst2TlSJSKEEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBEhgS2EEBHxWWArivLZl6pKngshxM9RVTXMywf59378PzaXX25uMRZCCPHTgiD47OtL++y0vs0/6DgOtm0zm83CT46HaIwQQkSBqqoEQcBsNsO2bVzXxTTNL/7vfhbYqqrieR7D4ZC//e1vdDodEokEgIy2hRDiI03TCIKAwWBAr9cjCAKSySS6rn/R6ZHPAtuyLFKpFN1ul8vLS25vbzEM48GG+0IIEQWfjrAdx6Fer5NKpYjH41907e+zwM7lcvz5z3+mUqmwWCzwfX8vbyYWQojfwnEcVFWlXC5zdHRENptF077crThK8MnQebPQ6Pv+Z4uPQgghftqmou4hKkY+C2whhBC7SwqthRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIiSwhRAiIv5/u3EjHpvbXW8AAAAASUVORK5CYII=)
Which of the following statement is correct?
![](data:image/png;base64,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)
Maths-General
maths-
How to define Wavy Curve Method f(x)?
How to define Wavy Curve Method f(x)?
maths-General
physics-
Two metal cubes
and
of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of
and
are
and
, respectively. After steady state is reached, the temperature of the interface will be
![](data:image/png;base64,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)
Two metal cubes
and
of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of
and
are
and
, respectively. After steady state is reached, the temperature of the interface will be
![](data:image/png;base64,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)
physics-General
physics-
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
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)
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
![](data:image/png;base64,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)
physics-General
physics-
A student takes
wax (specific heat
) and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
![](data:image/png;base64,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)
A student takes
wax (specific heat
) and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
![](data:image/png;base64,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)
physics-General
physics-
A composite metal bar of uniform section is made up of length
of copper,
of nickel and
of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at
and the aluminium end at
. The whole rod is covered with belt so that no heat loss occurs at the sides. If
and
, then what will be the temperatures of
and
junctions respectively
![](data:image/png;base64,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)
A composite metal bar of uniform section is made up of length
of copper,
of nickel and
of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at
and the aluminium end at
. The whole rod is covered with belt so that no heat loss occurs at the sides. If
and
, then what will be the temperatures of
and
junctions respectively
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANEAAABACAYAAACEAJIJAAAGoUlEQVR4nO3cT2jTUBwH8G/WadVaFfEoVJodPKgnUZltkcHMbl5EmV68uNKhYzp1IIIHQZnzIIIMd/Ki64YXj2MguizirnrZYe1EO0UQ8f8/3J6HkZBtbdblveSl6e8DHkybvN/L8k2a1+YpjDEGQohrDbILIKTWUYgI4UQhIoQThYgQThQiQjhRiAjhRCEihBOFiBBOFCJCOFGICOFEISKEE4WIEE6NlV5QFMXPOggJrJV+o10xRABw584docXUi66uLkxOTsouQ6j9+/fjwYMHssvw3cmTJ1d8j2OItm7dKqyYerNu3TrZJQi3efNm2SUEkmOIaKe5F8YQbdy4UXYJgeQYok2bNvlVR+hEo1HZJQhHISrPMUTxeNyvOkJn7dq1sksQbsOGDbJLCCTHEMViMb/qCJ0wXokoROVRiDzS2Oi4a2vS+vXrZZcQSI5/6aDcHO/duxevX78GAFy9ehVnz56VXNHKeEIUi8Vw+vRp3L59GwAwMzOD7u5uPH78GM+fP0drayt+/PghqtSqhfHqKoJSabYfRVHw7ds3v+tZJh6P49q1a+ju7gYA7NmzBy9fvpRclbN4PI4/f/64WtcwDNy4cQNjY2PWNkZGRvD27Vv09PSILHNVotGoZ8E1TwxjY2Nobm62lu/evRuvXr3ypM1qxWIxvi9bZd8cd3V1IZvN4tKlS9ayqakpjIyMYGJiwvoyOBqNuj5ovRKJRFyt9/79e6iqClVV8eLFCxw8eBClUgmJRAKRSAT9/f0AgIsXL4ostypr1qzxZLv9/f3IZrP48OGD1YZhGGhqavKsTZEcQ+T2QBDl3r17ePbs2bI6DMNAJpNBJBKBYRhQVVV6rUs1NLj7WeLExAQymQwAIJ/PI51O4+nTp7h79y4aGhrw5s0bpNNp19vn4cU+Hh4eRjKZRCaTwfj4ONrb2wEsnExaWloC93cti1Xg8JIvCoVCxRpUVWW6rjPGGBsaGmK5XM7P0lbEs+80TbP6pqrqsu2pqsoKhQJfgS54dTyY/dF1nWmaZi3P5XJsaGjIkzZXo5p+12SI7Ms1TQvEzrbj2Xf2dc0DyTy4nPaJ17xo134CLBQK1kmDMXkni6Wq6bfjx7m5uTnvLoErSCQSAICHDx/i+PHjAIAzZ87g/PnzUFUVc3NzGB4exujoKC5fviy11nKYi9mZi8UiVFW11k2n07hy5QoOHz4MxhhmZ2ehaZqrbYswPz8vdHvmR7eBgYGybezYsUN4m14IbIgA4MmTJ2hpabF+STs1NYVEIgHGGBobG5HNZpFMJnHgwAHptS7l5o8/OTmJ1tZWa91jx47hxIkTSKVSmJ+fh2EYOHTokLQDS+Q+vnXrFq5fv44LFy5Yy3bu3Inp6Wm8e/fOOlHWgsAPcdciniHuoBI5xD0zM4Ndu3Yt296RI0fQ29uL2dlZlEolnDt3Tkh7PKoZ4nYM0cePHz0pLOy2bdsm5ctQL8ViMXz+/Fl2Gb7bsmUL3/dEv3//FlpQPfn375/sEoQL29VVFMcQhe1s6qcwhujXr1+ySwgkCpFHwnjW/vnzp+wSAskxRDSw4N7fv39llyAchag8xxB9/frVrzpCJ4xXou/fv8suIZAcQ/Tlyxe/6gidMA7KUIjKcwzRp0+f/KojdMIYIjqpluf4PREhhGPyRlm/zyKk1tBc3IRwohARwolCROpSU1MTFEVBsVjk3lbgQiSyc4Tk83koigJFUdDW1gZg4RH8jo4O6LqOR48eLXq/efwpioKbN29W1YbQEHV2di4b1SvXiUrLRXeOkPb2dhQKBWugLJ/PV3yvoijo6OgAW3jiG4ODg1W1ISxEbW1t1gQbdpU64UfnSH3L5/PQNA3JZBIAcOrUKYyPjyOVSmFwcBDpdBpHjx4FsHAByOVyi2aWmp6erq4hoQ+ks8XPpNvnBzD/v3TeAPtyxhaerQdgPV+fy+UCNxEJqQ1LJ7FZOhmKHQBrgpjV8nyuW/MsAADbt29HsVhEJpMpuxxYnv6BgQHouu51maSOmcdeKpVytX7gBhbseDtHiH2AqlQqLTp5i+J5iCp1wo/Okfq2b98+jI6OWsfa/fv3y963m8ee/b68s7Oz+oZcfQh0YN+kOU+aeX9jzhFXaXml7dlfo/sjshp9fX0MAAPgeOzoum69z35sVkNYiMwBAfNfX18fY6xyJ/zoHCF+qPgrbkJIdQI9sEBILaAQEcKJQkQIJwoRIZwoRIRwohARwolCRAgnChEhnChEhHCiEBHCiUJECKf/IXGTceKrMAIAAAAASUVORK5CYII=)
physics-General
physics-
The plots of intensity of radiation
wavelength of three black bodies at temperatures
are shown. Then,
![](data:image/png;base64,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)
The plots of intensity of radiation
wavelength of three black bodies at temperatures
are shown. Then,
![](data:image/png;base64,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)
physics-General
maths-
Consider the system of linear equations:
,
The system has
Consider the system of linear equations:
,
The system has
maths-General
Maths-
If the system of equations
has no solution, then ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIBJREFUeNpjYEAAJiC+BcS2DHQCLEC8FIiF6WWhBxDX0ssyUHCeY6AjOEpE3P0nAhMEGUBcAsRzae0jFSDeAGUfBGIeWsbVbiAWh/KrgTiNVsHYDMSRSHxjID5MC19ZAvEaLOL3qZ3nQPFyEoehXQSCkmSwEIiDcMjpAfFxhqEIAIFPIpNBQAabAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQkI7PC9taT48bW8+PTwvbW8+PC9tYXRoPnDoxj4AAAAASUVORK5CYII=)
If the system of equations
has no solution, then ![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIBJREFUeNpjYEAAJiC+BcS2DHQCLEC8FIiF6WWhBxDX0ssyUHCeY6AjOEpE3P0nAhMEGUBcAsRzae0jFSDeAGUfBGIeWsbVbiAWh/KrgTiNVsHYDMSRSHxjID5MC19ZAvEaLOL3qZ3nQPFyEoehXQSCkmSwEIiDcMjpAfFxhqEIAIFPIpNBQAabAAAAWXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3gzQkI7PC9taT48bW8+PTwvbW8+PC9tYXRoPnDoxj4AAAAASUVORK5CYII=)
Maths-General
physics-
Two bars of thermal conductivities
and
and lengths
and
respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite bar is
and
respectively (see figure), then the temperature
of the interface is
![](data:image/png;base64,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)
Two bars of thermal conductivities
and
and lengths
and
respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite bar is
and
respectively (see figure), then the temperature
of the interface is
![](data:image/png;base64,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)
physics-General
Maths-
If
then A2 ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
If
then A2 ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
Maths-General
maths-
The perimeter of a
is 6 times the A.M of the sines of its angles if the side
is , then the angle A is
The perimeter of a
is 6 times the A.M of the sines of its angles if the side
is , then the angle A is
maths-General
Maths-
If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side
If the angles of triangle are in the ratio 1:1:4 then ratio of the perimeter of triangle to its largest side
Maths-General