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Category: Arithmetic

Question-205204

Question Number 205204 by BaliramKumar last updated on 12/Mar/24 Answered by A5T last updated on 12/Mar/24 $${Container}\:{A}:\:{Spirit}\left(\mathrm{35}{l}\right),{Water}\left(\mathrm{45}{l}\right) \\ $$$${Container}\:{B}:\:{Spirit}\left(\frac{\mathrm{7}}{\mathrm{16}}×\mathrm{20}=\mathrm{8}.\mathrm{75}\right),{Water}\left(\mathrm{11}.\mathrm{25}\right) \\ $$$$\Rightarrow{Container}\:{A}':\:{Spirit}\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{33}.\mathrm{75}{l}\right) \\ $$$${Container}\:{A}'':\:{Spirit}\:\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{53}.\mathrm{75}{l}\right) \\ $$$${S}:{W}=\mathrm{21}:\mathrm{43}…

Question-205175

Question Number 205175 by BaliramKumar last updated on 12/Mar/24 Answered by Rasheed.Sindhi last updated on 12/Mar/24 $$\mathrm{413283P759387} \\ $$$$\bullet{Divide}\:{the}\:{number}\:{in}\:{groups}\:{of}\:\mathrm{3} \\ $$$${from}\:{right}\:{side} \\ $$$$\mathrm{4},\mathrm{132},\mathrm{83P},\mathrm{759},\mathrm{387} \\ $$$$\bullet{Apply}\:{subtraction}\:{and}\:{addition}…

Question-205117

Question Number 205117 by BaliramKumar last updated on 09/Mar/24 Answered by Rasheed.Sindhi last updated on 09/Mar/24 $$\frac{{x}}{{y}}+\frac{{y}}{{x}}=\mathrm{2} \\ $$$$\Rightarrow{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{2}{xy} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −\mathrm{2}{xy}+{y}^{\mathrm{2}} =\mathrm{0}…

a-3-b-3-c-3-d-3-a-b-c-d-N-i-3-3-4-3-5-3-6-3-HCF-3-4-5-1-other-example-

Question Number 205063 by BaliramKumar last updated on 07/Mar/24 $$\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \:+\:\mathrm{c}^{\mathrm{3}} \:=\:\mathrm{d}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{a},\:\mathrm{b},\:\mathrm{c},\:\mathrm{d}\:\in\:\boldsymbol{\mathrm{N}} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{3}^{\mathrm{3}} \:+\:\mathrm{4}^{\mathrm{3}} \:+\:\mathrm{5}^{\mathrm{3}} \:=\:\mathrm{6}^{\mathrm{3}} \:\:\:\:\:\:\:\:\:\:\:\:\mathrm{HCF}\left(\mathrm{3},\:\mathrm{4},\:\mathrm{5}\right)\:=\:\mathrm{1} \\ $$$$\mathrm{other}\:\mathrm{example}\:……….. \\ $$ Commented…

Racionalizar-el-denominador-1-x-x-1-3-x-

Question Number 204841 by Simurdiera last updated on 28/Feb/24 $${Racionalizar}\:{el}\:{denominador} \\ $$$$\frac{\mathrm{1}\:−\:{x}}{\:\sqrt[{\mathrm{3}}]{{x}}\:−\:\sqrt{\sqrt{{x}}}} \\ $$ Commented by Frix last updated on 28/Feb/24 $$\frac{\mathrm{1}−{x}}{{x}^{\frac{\mathrm{1}}{\mathrm{3}}} −{x}^{\frac{\mathrm{1}}{\mathrm{4}}} }=−\left(\frac{{x}^{\frac{\mathrm{11}}{\mathrm{12}}} +{x}^{\frac{\mathrm{5}}{\mathrm{6}}}…