Maths-
General
Easy
Question
By what rational number should we multiply
to get ![fraction numerator negative 10 over denominator 7 end fraction](data:image/png;base64,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)
Hint:
Divide the given rational number by the result.
The correct answer is: 16/3
Given rational number =
and let the other rational number be
On multiplication, we get the result to be ![fraction numerator negative 10 over denominator 7 end fraction](data:image/png;base64,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)
That is, we have ![fraction numerator negative 15 over denominator 56 end fraction x equals fraction numerator negative 10 over denominator 7 end fraction](data:image/png;base64,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)
On dividing both sides by
,
we get ![x equals fraction numerator negative 10 over denominator 7 end fraction divided by fraction numerator negative 15 over denominator 56 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals fraction numerator negative 10 over denominator 7 end fraction cross times fraction numerator negative 56 over denominator 15 end fraction equals 560 over 105](data:image/png;base64,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)
![not stretchy rightwards double arrow x equals 16 over 3](data:image/png;base64,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)
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Maths-
The diameter of the three circles in this figure are 21 cm, 14 cm and 7 cm. What is the area of the shaded region?
![](data:image/png;base64,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)
The diameter of the three circles in this figure are 21 cm, 14 cm and 7 cm. What is the area of the shaded region?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAABzCAYAAACvtu3bAAAL4ElEQVR4nO2dP2gT7x/HP/3xDJF2uCHDgTcc9MATM2TIkCHQGwIWbCFiRcWKESpk6JBBsGAhQ4ciHTJWyNChlSIVouAgtNCUCHXr0EIijbRi5AIpRIiSQArPbyjJN9a0uee557nnEvOCD6a1ee7z3Pue5z7P/yGMMYYBPc3/RDswwD4DEfuAgYh9ABLtAEvq9ToUCgXI5/NQKBTgy5cvcHx8DADw17+qqgIAgKIogBACRVHgxo0boGkaaJoGuq6Dx+MRkxFChno5sCmVSpDJZGBnZwcymQzk83mm6eu6DoZhwNjYGBiGAbIsM02fFT0nYqFQgLW1NXjz5g1z0bqh6zpMTU3Bw4cPQdd1R699KbgHKJfLeHl5GYdCIQwArrBAIICTySQul8uibw92dUkslUrw8uVLePXqFdTrdep0QqEQ3Lx5E/x+P6iqCoqiAABAsViEYrEIBwcH8P79e/j06RNx2h6PB2KxGDx//lxcdSv6KeqEaZo4Ho9jj8dDXVIkScILCwv4+/fvlq9bLpdxMpnEsiwTXw8hhKPRKD48POR4ZzrjKhFrtRqen5/HCCFq8RBCOJFI4EqlQu1HpVLBiUQCDw8PU10/Ho/buj4prhExnU5jVVVtvadkWcbZbJaZT3t7e1hRFCpfFEXB6+vrzHy5DOEimqaJx8fHbQcaPp+PqOok8c9OQBUOh7n41Y5QEe086edLIM8bZZqmrVpClmW8u7vLzT9hIqbTaap3Tqd3EMsq9CL29vZs+evxePDq6ioX34SIuLCwYFu8piUSCcf8Xlpasu3v/Pw8bjQaTP1yVMRarYanp6eZCShJkqNRYK1Wo2p+nLeJiQlcrVaZ+eWYiKZp4mAwyExAAMALCwtOud8imUwy8d3n8+GjoyMmPjki4v7+PpMA5rzxjvo6Ua1WbbVj241Vk4i7iKZpchEwFArxdv1CwuEws3zIsmy7RHIdFK7X63D79m0oFovM07558ybzNK1y584dZmmVSiWYnJyEX79+UafBVcSnT5/C58+fuaTt9/u5pGsF1sNQBwcH8ODBAzg9PaVLgFEN8xcsmxGdbH9/n5frXTk8POSSp7m5OSp/uIiYTqe5CggAjjYtzlOtVrnla2Vlhdgf5iLa7dn410Wk6YFi+k5svqR///7NMtmO8AiWrHJycsIt7dPTU7h7925rQpcVmIr45MkTx26uSBFJbjANpVIJHj16ZPnvmYn47t07+PjxI6vkunJwcODYtc5TKBS4X+PTp0+wtrZm7Y9ZvCNqtZrtAV1SE9nYn5iYcCSPXq/X0rufiYjz8/OOCtg0ETPNqtWqrbk/pBaLxbr6ZFtE0zSZ9SWSWjKZtOs+MalUytE8IoS6Tr6yLWI8HhciIMBZv6PTQ1Gapjmez2g0eqlftkQ0TdPRqqWTOTkozGoYinVptCWiyFLYtOHhYby3t2cnG5bI5XKOdGLQlEZqEcvlsvBS2DRFUbBpmrRZ6UqlUsG6rgvNI0LowvFT6nbi27dvbU2tZ0mxWIS7d+9CqVRinvbPnz9hcnLS8cU75zk9Pb243Uj7dLppcUvTVFVlWrXmcjnhJbDdfD5fRz+pROQ1FMPChoeHcTKZxLVajVq8Wq2Gk8mk0HfgRdbpIaUSMZFICM9MN5NlGSeTSaJZZdVqFadSKSHNCKsWj8f/8ptqadv169eFvyOs4vF4IBQKwb1790DTNFAUpbUE7eTkBI6Pj6FQKMD79+9ha2vLNe/5i1BVFY6Ojv78JWkpNE1T+NP4r9v5iVXE0WkmkyH9ygDGnNeAWMSdnR1mzgyg4y8NSKtTN4Xc/6qpqkof2NTrdbhy5YrVPxdKM6Dx+/1w9erVVkCjKAqoqtpar9+0Hz9+QD6f74ngBgCgXC6D1+s9+4GkFO7v7wt/Ci8zr9eLo9Eo3tjYoF6wUqvVcDqdxjMzM0wWz/Cy9vWORCJubGwId76TGYaBNzc3qUTrRjabZTptn5WlUqmWj0QiLi4uCne+3XRdx+l0mrlwndjc3MR+v194npvWPtGYSMRoNCrceYCz3phUKsV8saYVVlZWHJ9P1MkikUjLJyIRDcMQ7nwwGOQ67GSFSqXSqmKHhoaE3AfDMFr+9JSI0WhUSOnrRKPRwLOzs8Luha7rLV+IRBRVjSCE8NLSEnMhWJBKpYRMFGtvK7peRIQQ3tjYYH7zWbK9ve24kLIst65PJKKIUujWEngep6cyAvwnnatF7DZVz204PXGsiWur02Aw6JogxiqNRsOxjoH26tSVG7nLsgzpdBoQ6q0tyhFCsLGx0dpfnCft+5MTidjc7JU3CwsLrt1vuxuSJMHi4iL367Q/4EQiOlEydF2HaDTK/To8uX//PgQCAa7XaC9QriuJi4uLPVeNdmJpaYlr+pIktT4TiXjjxg3mzrRjGAZEIhGu13AKwzBgYmKCW/qaprU+E4nY/kUevHjxgmv6TpNIJLilPTo62vrsGhG9Xi+Ew2Fu6YsgEAhwu2c+n6/1mUhEngd68Kx6RMIrX9TVqcfj4SbkrVu3uKQrGh75kmX5jyYYcWPfMAymDgGcPRzj4+PM03UDhmHAyMgI8zTbIRZxbGyMmTNNQqEQ84y6BYQQ8yr1vAauKIkid0x0gmvXrjFNz3ZJlGWZ+Xvx6tWrTNNzGyw7STrdf6oO8KmpKSYONXGqT1YULPuBO917KhEfPnxo25l2erWz2yos89fp3lOJqOs60w7eQUm0hqZpEAwG//o99Xgiy9LoxPibSFg9pI8fP+78H7Sj2Cy3QBFxNIKTsFiYixC6cNd+6pLo9XohFovRfv0PRO5d6gQstmaZnp6+sMayNT3j+fPnTMb+BiJezNDQEABcPsJjS0RZlmF6etpOEgAwEPEyMMYQiUQuHQ2xPVHqxYsXtkvjjx8/7Lrhami3m26Wwm7jkrZF1DQNZmdnbaXRK9up0PL161eq72GMYWZmpnu3JIvoq1Kp2FpV6/F4bO0A5WYajQb2er1U90WSJEu7KzOZdypJEiSTServ1+t12NraYuGK6/j8+TP1EQyLi4v/rcu/DJZPnZ3ZzzMzMyxdcQ3Pnj2juh+BQMDyDHimIn7//p26Wm2flt5P0OwTJ0kSzuVylq/B/Jih3d1d6p4cJw54dpJcLkfVM0O6iQSXA79WV1epRAyHwzzcEcbU1JTlvDeXjS8vLxNfh9vRe7RnZfDaysRpdnd3iQW0cgZGJ7iJ2Gg0qE5y8fv9vFxyFNL9DQzDoF7Kx/VM4Wq1in0+H7GQNGcIugnS8yM1TbN12g73g6GPjo6II1ZVVYWej2iHarVKtInhyMgIUSTaCUeOaM9ms8RChsPhnlspjDHGkUiESMCeOKK9ydHREXHVOjs765R7TLASzDWDGE3TbJfAJo6JiPFZVUMa7LRvROdm1tfXLQtoGAbTE+ccFRHjs6h1bm7OsogIIby9ve20m0Rks1nLxy/EYjHmrwnHRWyysrJieQMfhJBrI9b19XVLAiKEqBryVhAmIsbkAU88HndVsGO1Q0OSJK6dGEJFxPgs4CE5smh8fFx486NarVqOQgOBALMA5iKEi9hkdXXV8uCpqqrC9ntLp9OXtgObwYskSXh5edmRmsM1ImJ8NkMgFotZflcGg0HHgp7d3d1Lu9La9z2dmZlx9LxjV4nY5PDwEEejUctiRiIRbgdh5nI5y6MRPP24DFeK2IRUTE3TcDwex5ubm7aqsWw2i+fm5iwN6CKEcDQa7Xp4M0+oDvxymmKxCGtra/D69Ws4ODiw9J2RkRGIRCIwOjraOhOjaYqiQKlU+sOOj4/h27dv8OHDB0tzYjRNg8ePH186M9sxhD0+lOzt7eF4PC7kzApZlvHs7OwfZ1K4gZ4oiReRz+chk8nAzs4OZDIZ5sfRyrIMhmHA2NgYGIbBdQsYO/S0iOc5OTmBfD4P+Xwevnz5AoVCAX7+/AmlUgnq9TrU6/WW0LIsg8fjAYQQKIoCkiSBpmkwOjoKPp8PNE3rmcWvfSXiv4orN60dQMZAxD5gIGIfMBCxDxiI2AcMROwDBiL2AQMR+4CBiH3AQMQ+4P8xMr5Ojs0JEgAAAABJRU5ErkJggg==)
Maths-General
Maths-
Simplify ![open parentheses 6 over 55 cross times fraction numerator negative 22 over denominator 9 end fraction close parentheses minus open parentheses 26 over 125 cross times fraction numerator negative 10 over denominator 39 end fraction close parentheses](data:image/png;base64,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)
Perform multiplication and then subtract.
Simplify ![open parentheses 6 over 55 cross times fraction numerator negative 22 over denominator 9 end fraction close parentheses minus open parentheses 26 over 125 cross times fraction numerator negative 10 over denominator 39 end fraction close parentheses](data:image/png;base64,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)
Maths-General
Perform multiplication and then subtract.
Maths-
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 9 over denominator 5 end fraction plus fraction numerator 10 over denominator negative 3 end fraction close parentheses plus fraction numerator negative 21 over denominator 4 end fraction equals fraction numerator negative 9 over denominator 5 end fraction plus open parentheses fraction numerator 10 over denominator negative 3 end fraction plus fraction numerator negative 21 over denominator 4 end fraction close parentheses](data:image/png;base64,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)
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 9 over denominator 5 end fraction plus fraction numerator 10 over denominator negative 3 end fraction close parentheses plus fraction numerator negative 21 over denominator 4 end fraction equals fraction numerator negative 9 over denominator 5 end fraction plus open parentheses fraction numerator 10 over denominator negative 3 end fraction plus fraction numerator negative 21 over denominator 4 end fraction close parentheses](data:image/png;base64,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)
Maths-General
Maths-
Diameter of a circle is 21 cm. Calculate its circumference.
Diameter of a circle is 21 cm. Calculate its circumference.
Maths-General
Maths-
The circumference of the given circle is _____.
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)
The circumference of the given circle is _____.
![](data:image/png;base64,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)
Maths-General
Maths-
Find the perimeter of a semicircle of radius 28 cm.
Find the perimeter of a semicircle of radius 28 cm.
Maths-General
Maths-
What is the circumference of a circular disc of radius 14 cm?
What is the circumference of a circular disc of radius 14 cm?
Maths-General
Maths-
The circumference of a circular piece of plot is 440 m. Find its area.
The circumference of a circular piece of plot is 440 m. Find its area.
Maths-General
Maths-
Find the area of a circle of radius 21 m.
Find the area of a circle of radius 21 m.
Maths-General
Maths-
Find the circumference and area of the circle with radius 14 cm.
Find the circumference and area of the circle with radius 14 cm.
Maths-General
Maths-
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator 2 over denominator negative 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator 2 over denominator negative 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses](data:image/png;base64,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)
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator 2 over denominator negative 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator 2 over denominator negative 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT8AAAAmCAYAAACyCJxMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAABTdJREFUeNrtXc+HVXEU/xojGW+TjCSJJEkSaZExMpuMtEi0SJJERqukTZKkfyBJmyRJIkkyRrskLdplFkmkVYtExkiexOsc7ywmd+a9733fH/ec+/18+Cya3rvuPd/P59zv99x3v8e51XGBeMcBIbgtcQQA+MuID6eJH4jjEU+gN4RaMEV8Rlwm/pE4nBrxWBy/ReIhIyLZSbwm17waZogLxN/ELvEz8RZxo5Hr06LBEH/F1GcpGvT24QTxK3Ffpos9QbynKPhviCeJHfn3buI7+dso2CPx7BgQ3iPi+QGJ4DXxOHHdir+xTl4ZN1xODYb6K7Y+S9Gglw9vEu9mutBNxLfE9coHZJvcOUKm3TcNCbDuLGjZsNlyazCFv0L1WYoGB/pwkrhE3JLpAl9mnGGGohvw3c0yOJMtFN524ifDJsupwZT+6rp2IYUGB/rwqkw7c2BO1vYWcFCWFiG4b+h6fYTHM6azrl9zOWLUYLk1mMpfMfRZigbX9OFH1y/G5lhGvndxH6ikwno516nA40wZmiH1hvzfSl40aq4mNJjCX7H0WYoGV/UhP2X5UfPkRn16xkXbGQMDsIH4gng40vG+E3dlEk7Ik82eZ2yOifEONWgQKxqs668m9FmKBis+5Onj4wxB4SdrCwYS33YR1o6Ix3wscW5TvaUj4rOEJjQY218p9FmKBis+fCg1kJQYkymn9occfFfgnz5MRD7uOYlzm4THsFRsb0qDMf2VSp+laLDiw3mXvnB9TJYbmsFF1KcuTS1o1sist47w9rp+wdkKmtJgLH+l1GcpGqz4kOsRqX+K8cTAsm/epavLdVz8uk9O4b2RJeO4zKC4ZsY/HD1jyFRNaTCWv1LqsxQNVnz4Ww6WElxo3GAg6KlefxqTOFu69pWYFvN1hfxr+6PGTNWUBmP5y8Iroto1WPFhW4KnHX8QgiIBfyn2YQ+CUnXOMAvGE/7KdG0YHJgFwHgi+WFwYJaE129lezMkPyQ/DA7MAiD5lZv8ehmZYtag4fwHxdnKtcWIQcpZo1YNwl+6NIiZH2YKWPZiPDHzw+DALADGE8kPgwOzAEh+SH4YHJgFQPJD8gMgKADj3q7x+BtwoGHt5up+TmuwYhTom3y9zbftocX2iNo1+NeIPkvR4H8+DHnxeli7ubqfa+ude9w1u7GBb9tDi+0RtWsw9cYhVjylQYMVH35z4btdoP4xGNxYWduWVr5tD620R9SqwRj+auuyOrcGKz7kbWJmkfySnjNvZqlxM9Nu5M8h+VURw19tTX65NVjx4QMXvskjkt9gnJc4a4Jv20Mr7RG1ajCGv9qa/HJrsOLD0y68p2jbkx8XSZflrnFpRT3CF9p2svZte2ipPaJWDcbwV2p9lqLBig/5Kdj3gpLfqK9ZcbF0v+s/MeRGOHW2FP/h9GxB7tv2UHN7REsarOuvJvRZigZX9eGiTC0x8/MDD4ZvM5wZp6dpuW/bQ4vtETVrMNRfKfVZigbX9OFl4n0kv1rwLcDykueKgvP1bXtotT2iZg2G+iulPkvR4Jo+5EfAS8QtSH5e2EP84vG5rcRfEt8m4dv20HJ7RM0aDPVXKn2WosGhPrxOvIPkV8FzWbKMCWdFWMc9vst3rxsKrsG37aHl9ojaNRjir1T6LEWDQ304IUHbW1Nwvhs6Wt27jXuFcmNkfk3pp9yVDnh8b5/r9xXtKEkMPsVzi3vtWdHgKP5Kqc9SNOjtQ36c/MG1vyt8aqxz/SL3NEIBwF92fMg/BLyLuAWBlzdzCAMAf+n04T8jgFRKA8cSDAAAAlt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+NzwvbW4+PC9tcm93Pjxtbj4xMTwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtbj4yPC9tbj48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj41PC9tbj48L21yb3c+PC9tZnJhYz48L21yb3c+PC9tZmVuY2VkPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTM8L21uPjwvbXJvdz48bW4+MjI8L21uPjwvbWZyYWM+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj43PC9tbj48L21yb3c+PG1uPjExPC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWZyYWM+PG1uPjI8L21uPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjwvbXJvdz48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTM8L21uPjwvbXJvdz48bW4+MjI8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21hdGg+GU83TgAAAABJRU5ErkJggg==)
Maths-General
Maths-
Verify ![fraction numerator negative 12 over denominator 5 end fraction plus 2 over 7 equals 2 over 7 plus fraction numerator negative 12 over denominator 5 end fraction](data:image/png;base64,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)
Verify ![fraction numerator negative 12 over denominator 5 end fraction plus 2 over 7 equals 2 over 7 plus fraction numerator negative 12 over denominator 5 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the perimeter and area of a semicircle whose radius is 14 cm.
Find the perimeter and area of a semicircle whose radius is 14 cm.
Maths-General
Maths-
The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.
The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.
Maths-General
Maths-
The circumference of a circular park is 176 m. Find the area of the park.
The circumference of a circular park is 176 m. Find the area of the park.
Maths-General